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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">OS</journal-id>
<journal-title-group>
<journal-title>Ocean Science</journal-title>
<abbrev-journal-title abbrev-type="publisher">OS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1812-0792</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/os-11-159-2015</article-id><title-group><article-title>Coastal sea level response to the tropical cyclonic forcing in the
northern Indian Ocean</article-title>
      </title-group><?xmltex \runningtitle{Coastal sea level response to the tropical cyclonic forcing}?><?xmltex \runningauthor{P. Mehra et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Mehra</surname><given-names>P.</given-names></name>
          <email>pmehra@nio.org</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Soumya</surname><given-names>M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Vethamony</surname><given-names>P.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Vijaykumar</surname><given-names>K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Balakrishnan Nair</surname><given-names>T. M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Agarvadekar</surname><given-names>Y.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Jyoti</surname><given-names>K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Sudheesh</surname><given-names>K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Luis</surname><given-names>R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Lobo</surname><given-names>S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Harmalkar</surname><given-names>B.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>CSIR-National Institute of Oceanography (NIO), Goa, India</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Indian National Centre for Ocean Information Services (INCOIS),
Hyderabad, India</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">P. Mehra (pmehra@nio.org)</corresp></author-notes><pub-date><day>3</day><month>February</month><year>2015</year></pub-date>
      
      <volume>11</volume>
      <issue>1</issue>
      <fpage>159</fpage><lpage>173</lpage>
      <history>
        <date date-type="received"><day>13</day><month>December</month><year>2013</year></date>
           <date date-type="rev-request"><day>20</day><month>February</month><year>2014</year></date>
           <date date-type="rev-recd"><day>22</day><month>December</month><year>2014</year></date>
           <date date-type="accepted"><day>23</day><month>December</month><year>2014</year></date>
           
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015.html">This article is available from https://www.ocean-sci.net/11/159/2015/os-11-159-2015.html</self-uri>
<self-uri xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015.pdf">The full text article is available as a PDF file from https://www.ocean-sci.net/11/159/2015/os-11-159-2015.pdf</self-uri>


      <abstract>
    <p>The study examines the observed storm-generated sea level variation due to
deep depression (event 1: E1) in the Arabian Sea from 26 November to
1 December 2011 and a cyclonic storm “THANE” (event 2: E2) over the Bay of
Bengal during 25–31 December 2011. The sea level and surface meteorological
measurements collected during these extreme events exhibit strong synoptic
disturbances leading to storm surges of up to 43 cm on the west coast and 29 cm
on the east coast of India due to E1 and E2. E1 generated sea level
oscillations at the measuring stations on the west coast (Ratnagiri, Verem
and Karwar) and east coast (Mandapam and Tuticorin) of India with significant
energy bands centred at periods of 92, 43 and 23 min. The storm surge is a
well-defined peak with a half-amplitude width of 20, 28 and 26 h at
Ratnagiri, Verem and Karwar, respectively. However, on the east coast, the sea
level oscillations during Thane were similar to those during calm period
except for more energy in bands centred at periods of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100, 42 and
24 min at Gopalpur, Gangavaram and Kakinada, respectively. The residual sea
levels from tide gauge stations in Arabian Sea have been identified as
Kelvin-type surges propagating northwards at a speed of
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6.5 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with a surge peak of almost constant amplitude.
Multi-linear regression analysis shows that the local surface meteorological
data (daily mean wind and atmospheric pressure) is able to account for
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 57 and <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 69 % of daily mean sea level variability along the
east and west coasts of India. The remaining part of the variability observed
in the sea level may be attributed to local coastal currents and remote
forcing.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Tropical cyclones (TCs) are the most destructive weather systems on the
earth, producing intense winds, resulting in high surges, meteotsunamis,
torrential rains, severe floods and usually causing damage to property and
loss of life. In the northern Indian Ocean, both the Bay of Bengal (BOB) and the
Arabian Sea (AS) are potential genesis regions for cyclonic storms. Intense
winds associated with TCs, blowing over a large water surface, cause the sea
surface to pile up on the coast and leads to sudden inundation and flooding
of the vast coastal regions. Also, the heavy rainfall causes flooding of
river deltas in combination with tides and surges. A number of general
reviews and description of individual cyclones and associated surges in the BOB
and the AS have been published previously by several investigators (Murty et al.,
1986; Dube et al., 1997; Sundar et al., 1999; Fritz et al., 2010; Joseph et
al., 2011). Developments in storm surge prediction in the Bay of Bengal and
the Arabian Sea have been highlighted by Dube et al. (2009) and references
therein (e.g. Das, 1994; Chittibabu et al., 2000, 2002; Dube et al., 2006;
Jain et al., 2007; Rao et al., 2008).</p>
      <p>Apart from the studies carried out with a view to assessing the coastal
vulnerability, few studies concentrated on the variations in characteristics
of different oceanographic parameters in response to tropical cyclones.
Joseph et al. (2011) examined the response of the coastal regions of eastern
Arabian Sea (AS) and Kavaratti Island lagoon to the tropical cyclonic storm
“Phyan”, during 9–12 November 2009 until its landfall at the northwest
coast of India, based on in situ and satellite-derived measurements. Mehra et
al. (2012) reported similarities in the spectral characteristics of sea level
oscillations in the Mandovi estuary of Goa in the eastern Arabian Sea due to cyclones
(June 2007 and November 2009) and the Sumatra geophysical tsunami
(September 2007). Wang et al. (2012) reported the variations in the
oceanographic parameters due to the tropical Cyclone Gonu, which passed over
a deep autonomous mooring system in the northern Arabian Sea and a shallow
cabled mooring system in the Sea of Oman. Near-inertial oscillations at all
moorings from thermocline to seafloor were observed to be coincident with the
arrival of Gonu. Sub-inertial oscillations with periods of 2–10 days were
recorded at the post-storm relaxation stage of Gonu, primarily in the
thermocline of the deep array and at the onshore regions of the shallow
array. Antony and Unnikrishnan (2013) used hourly tide gauge data at Chennai,
Visakhapatnam and Paradip along the east coast of India and at Hiron Point,
at the head of Bay of Bengal, to analyse statistically the tide-surge
interaction. Recently, Rao et al. (2013) simulated surges and water levels
along the east coast of India using an advanced 2-D depth-integrated
circulation model (ADCIRC-2DDI).</p>
      <p>It is necessary that the problem of storm surge must be seriously addressed
by the countries of the various regions through collective efforts and in an
integrated manner. In the present study, the objective is to examine the
characteristic of the sea level oscillations at different topographic
locations in the AS and the BOB due to the meteorological events. Our interest is
confined to a few minutes to days and analysis of the spectral features of sea level oscillations in the two basins.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Summary of observations from different coastal and Island locations
of India from 1 September 2011 to 31 January 2012. The CSIR-NIO radar gauge
(RG) measures sea level (cm) and the CSIR-NIO autonomous weather station
(AWS) provides surface meteorological variables such as winds, atmospheric
pressure and air temperature.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.87}[.87]?><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry namest="col3" nameend="col4" align="center">Latitude and </oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center">Longitude </oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"><?xmltex \raise-5.690551pt\hbox\bgroup?>Distance between<?xmltex \egroup?></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Sr No</oasis:entry>  
         <oasis:entry colname="col2">Measurement Station</oasis:entry>  
         <oasis:entry colname="col3">Lat (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N)</oasis:entry>  
         <oasis:entry colname="col4">Lon (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)</oasis:entry>  
         <oasis:entry colname="col5">Location type</oasis:entry>  
         <oasis:entry colname="col6">System</oasis:entry>  
         <oasis:entry colname="col7">AWS &amp; RG (m)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2">Gopalpur, Odisha</oasis:entry>  
         <oasis:entry colname="col3">19.3081</oasis:entry>  
         <oasis:entry colname="col4">84.9613</oasis:entry>  
         <oasis:entry colname="col5">Harbour</oasis:entry>  
         <oasis:entry colname="col6">AWS</oasis:entry>  
         <oasis:entry colname="col7">255</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">19.3069</oasis:entry>  
         <oasis:entry colname="col4">84.9634</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">Radar gauge</oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2</oasis:entry>  
         <oasis:entry colname="col2">Gangavaram, Andhra Pradesh</oasis:entry>  
         <oasis:entry colname="col3">17.6174</oasis:entry>  
         <oasis:entry colname="col4">83.2322</oasis:entry>  
         <oasis:entry colname="col5">Harbour</oasis:entry>  
         <oasis:entry colname="col6">AWS</oasis:entry>  
         <oasis:entry colname="col7">726</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">17.6235</oasis:entry>  
         <oasis:entry colname="col4">83.2295</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">Radar gauge</oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3</oasis:entry>  
         <oasis:entry colname="col2">Kakinada, Andhra Pradesh</oasis:entry>  
         <oasis:entry colname="col3">16.9764</oasis:entry>  
         <oasis:entry colname="col4">82.2832</oasis:entry>  
         <oasis:entry colname="col5">Harbour</oasis:entry>  
         <oasis:entry colname="col6">AWS</oasis:entry>  
         <oasis:entry colname="col7">2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">16.9764</oasis:entry>  
         <oasis:entry colname="col4">82.2832</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">Radar gauge</oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">4</oasis:entry>  
         <oasis:entry colname="col2">Mandapam, Tamil Nadu</oasis:entry>  
         <oasis:entry colname="col3">9.2763</oasis:entry>  
         <oasis:entry colname="col4">79.1295</oasis:entry>  
         <oasis:entry colname="col5">Boundary of Palk Strait</oasis:entry>  
         <oasis:entry colname="col6">AWS</oasis:entry>  
         <oasis:entry colname="col7">615</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">9.2713</oasis:entry>  
         <oasis:entry colname="col4">79.1321</oasis:entry>  
         <oasis:entry colname="col5">&amp; Gulf of Mannar</oasis:entry>  
         <oasis:entry colname="col6">Radar gauge</oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">5</oasis:entry>  
         <oasis:entry colname="col2">Tuticorin, Tamil Nadu</oasis:entry>  
         <oasis:entry colname="col3">8.7500</oasis:entry>  
         <oasis:entry colname="col4">78.2021</oasis:entry>  
         <oasis:entry colname="col5">Gulf of Mannar</oasis:entry>  
         <oasis:entry colname="col6">Radar gauge</oasis:entry>  
         <oasis:entry colname="col7">–</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">6</oasis:entry>  
         <oasis:entry colname="col2">Port Blair, Andaman &amp; Nicobar Islands</oasis:entry>  
         <oasis:entry colname="col3">11.7099</oasis:entry>  
         <oasis:entry colname="col4">92.7386</oasis:entry>  
         <oasis:entry colname="col5">Open ocean</oasis:entry>  
         <oasis:entry colname="col6">AWS</oasis:entry>  
         <oasis:entry colname="col7">2984</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">11.6884</oasis:entry>  
         <oasis:entry colname="col4">92.7222</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">Radar gauge</oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">7</oasis:entry>  
         <oasis:entry colname="col2">Karwar, Karnataka</oasis:entry>  
         <oasis:entry colname="col3">14.8464</oasis:entry>  
         <oasis:entry colname="col4">74.1317</oasis:entry>  
         <oasis:entry colname="col5">Open ocean</oasis:entry>  
         <oasis:entry colname="col6">AWS</oasis:entry>  
         <oasis:entry colname="col7">5154</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">14.8030</oasis:entry>  
         <oasis:entry colname="col4">74.1144</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">Radar gauge</oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">8</oasis:entry>  
         <oasis:entry colname="col2">Verem, Goa</oasis:entry>  
         <oasis:entry colname="col3">15.4554</oasis:entry>  
         <oasis:entry colname="col4">73.8022</oasis:entry>  
         <oasis:entry colname="col5">Mandovi estuary</oasis:entry>  
         <oasis:entry colname="col6">AWS</oasis:entry>  
         <oasis:entry colname="col7">5265</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">15.5019</oasis:entry>  
         <oasis:entry colname="col4">73.8120</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">Radar gauge</oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">9</oasis:entry>  
         <oasis:entry colname="col2">Ratnagiri, Maharashtra</oasis:entry>  
         <oasis:entry colname="col3">16.8926</oasis:entry>  
         <oasis:entry colname="col4">73.2758</oasis:entry>  
         <oasis:entry colname="col5">Cove</oasis:entry>  
         <oasis:entry colname="col6">AWS</oasis:entry>  
         <oasis:entry colname="col7">525</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">16.8890</oasis:entry>  
         <oasis:entry colname="col4">73.2853</oasis:entry>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6">Radar gauge</oasis:entry>  
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2">
  <title>Data and methodology</title>
      <p>In the present study, we report the response of the sea level to the episodic
meteorological events at various coastal and Island locations of India from
1 September 2011 to 31 January 2012. Study encompasses two episodic
meteorological events: (i) deep depression in November 2011 (E1) in the AS and
(ii) the tropical Cyclone Thane (E2) in the BOB as shown in Fig. 1. Summary
of observations is given in Table 1. The radar gauge (RG), which measures sea
level, is described in detail by Prabhudesai et al. (2006, 2008) and the
evaluation and comparative studies have been reported by Mehra et al. (2013).
RG acquires samples over 30 s window at 1 min interval and the average over
5 min is recorded at 5 min interval. The surface meteorological variables
are collected by autonomous weather station (NIO-AWS). AWS samples (wind, air
temperature, air pressure and relative humidity) data every 10 s over a
window of 10 min, averaged and then recorded at every 10 min interval. In
the present study, we have used time-series data at 5 (10) min interval from
the RG (AWS). Both the systems have been designed and developed in the Marine
Instrumentation Division, CSIR-NIO, Goa. Summary of observations from
different coastal and Island locations of India are provided in Table 1 and
the periods covered for different events are as follows:
<list list-type="bullet"><list-item><p>Event 1 (E1): 26 November to 1 December 2011, occurrence of deep depression in the Arabian Sea.</p></list-item><list-item><p>Event 2 (E2): 25–31 December 2011, passage of Thane cyclone in the Bay of Bengal.</p></list-item></list>
The tropical cyclone track data from India Meteorological Department (IMD,
<uri>www.imd.gov.in</uri>), Joint Typhoon Warning Center (JTWC,
<uri>www.usno.navy.mil/JTWC/</uri>) and UNISYS-Unisys Weather
(<uri>http://weather.unisys.com/hurricane/</uri>) are shown Fig. 2. The storm
translational speed is calculated using the distance travelled between two
consecutive positions and time interval. The average differences in wind
speeds as shown in Fig. 2a and d between IMD and JTWC, and IMD and Unisys are
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.1 (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.2) and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.7 (<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.8) m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during E1 (E2). The sea
level pressure reported by IMD and JTWC is similar during E1 (Fig. 2b);
however during E2, the minimum sea level pressure differed by
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11 mb with a time lag of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 h (Fig. 2e). The cyclone
translation speed estimated using JTWC and Unisys data during E1 varied
between 2.5 and 6.4 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, except for two spikes of
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 9 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> observed in Unisys data (Fig. 2c). Similarly, the
cyclone translation speed estimated using JTWC and Unisys data during E2
varied between 1.0 and 4.5 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, except for a few spikes of
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5–7 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. 2f). Cyclone translation speed using IMD data
is fluctuating as the data are available at every 3 h interval, whereas data from the other
two sites is at every 6 h. However, the mean cyclone speed during E1
(E2) from IMD data is 7.8 (2) m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Study location showing the tracks of meteorological events
during the year 2011. Note: sea level data at Colombo, Kochi, Karachi, Chabahar, Jask, Masirah,
Minocoy and Hanimaadhoo are downloaded from <uri>www.gloss-sealevel.org</uri> and are
shown with red stars. (Time is in Indian standard time (IST).)</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f01.png"/>

      </fig>

      <p>Sea level data are de-tided using TASK tidal analysis and prediction program
(Bell et al., 2000) to obtain sea level residual (SLR). A multi-linear
regression model linking sea level and atmospheric parameters has been
established. The model can be described in general as follows:

              <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mo>∈</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        In the above expression,
sea level residual (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">η</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the dependent variable and the independent
variables are cross-shore (along-shore) wind stress <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and
atmospheric pressure (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Likewise <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are the
coefficients of regression and <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> is the difference between the
measured SLR and estimated SLR using multi-linear regression. The cross-shore
(along-shore) wind stress <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is estimated using
cross-shore (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and along-shore (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> component of winds as follows:

              <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>A</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi>D</mml:mi></mml:msub><mml:mi>U</mml:mi><mml:msqrt><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi>V</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>A</mml:mi></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi>D</mml:mi></mml:msub><mml:mi>V</mml:mi><mml:msqrt><mml:mrow><mml:msup><mml:mi>U</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi>V</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi>A</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>1.3</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is the density of air and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>D</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>1.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is the drag coefficient. The regression is performed using
daily mean SLR, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. For each month,
coefficients of regression of the daily data are obtained to estimate the
SLR, which is then merged to generate the time series of estimated SLR for
the duration of September 2011 to January 2012.</p>
</sec>
<sec id="Ch1.S3">
  <?xmltex \opttitle{Observed coastal sea level response to\hack{\break} meteorological events}?><title>Observed coastal sea level response to<?xmltex \hack{\break}?> meteorological events</title>
      <p>The tracks of the meteorological event under study, which occurred in the AS
(the BOB) are shown in Fig. 1. The data and information about these episodic
meteorological events is taken from <uri>www.imd.gov.in</uri>.</p>
      <p>The meteorological event (E1) in AS, developed on 26 November 2011 at
7.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 76.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E near the southern tip of the Indian sub-continent
and moved north-westwards. By 28 November 2011 00:00 UTC, it intensified as
a deep depression with maximum sustained surface winds reaching up to
15 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. 2a) and the minimum estimated central pressure (ECP)
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 998 mb (Fig. 2b). The average translational speed of this system
remained steady to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6.5 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. However, during the minimum ECP,
the translation speed also decreased to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on 29 November
and increased to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on 30 November (Fig. 2c). The system
weakened into a well-marked low pressure area over the west central Arabian
Sea.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Cyclone parameters during E1 <bold>(a)</bold> wind speed, <bold>(b)</bold> sea
level pressure, and <bold>(c)</bold> storm forward translation speed. Similarly,
cyclone parameters during E2 <bold>(d)</bold> wind speed, <bold>(e)</bold> sea level pressure, and <bold>(f)</bold> storm forward translation
speed.
Note: IMD-India Meteorological Department; JTWC-Joint Typhoon Warning Center; UNISYS-Unisys Weather (<uri>http://weather.unisys.com/hurricane/</uri>).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f02.png"/>

      </fig>

      <p>The cyclonic system named “Thane” initially originated as a depression on
25 December 2011 at 8.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 88.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and moved north-westwards
(Fig. 1). Thane intensified into a very severe cyclonic storm with maximum
sustained surface winds peaked up to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 45 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> as shown in
Fig. 2d and ECP falling to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 956 mb (Fig. 2e). The cyclone track
turned westwards on 28 December, with an
average translational speed of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and then became steady at
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3.5 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> as shown in Fig. 2f. The translation speed of a
storm can exert significant control on the intensity of storms by modulating
the strength of the negative effect of the storm-induced sea surface
temperature (SST) reduction on the storm intensification (Mei et al., 2012).
Thane crossed the Tamil Nadu coast just south of Cuddalore between 01:00 and
02:00 UTC of 30 December 2011 and weakened into a well-marked low pressure
area over northern Kerala and its neighbourhood.</p>
<sec id="Ch1.S3.SS1">
  <?xmltex \opttitle{Response of sea level to depression in the\hack{\break} Arabian Sea (2011)}?><title>Response of sea level to depression in the<?xmltex \hack{\break}?> Arabian Sea (2011)</title>
      <p>The sea level residuals (SLR) at Ratnagiri, Verem and Karwar are shown in
Fig. 3. The visual observation of SLR indicates that it is normally within
<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>25 cm at all the three locations. Keila and the subsequent depression
from 29 October to 10 November are not able to generate noticeable sea level
variations, probably due to large distance of the measurement sites from the
cyclonic tracks. For example, the distance of Verem to the trajectory of
Keila's ECP is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1554 km. The variance of SLR observed during
29 October to 10 November at Ratnagiri, Verem and Karwar is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 26.1,
21.6 and 25.8 cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, respectively (Fig. 3). However, the deep depression
which originated on 26 November 2011 (E1) was in the near proximity to the
measurement sites. For example, the distance of Verem from the depression
centre on 28 November 2011 was <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 490 km (Fig. 1). E1 was able to
inflict surges at Ratnagiri, Verem and Karwar which peaked up to
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 43 cm with SLR variance of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 119.4, 95.4 and 108.2 cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>,
respectively, during E1 (Fig. 3a–c). The storm surge is a well-defined peak
with a half- width (see Fandry et al., 1984) of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25 h (Table 2). The
local surface meteorological conditions along with SLR are shown in Fig. 4.
During E1 (26 November to 1 December 2011), the wind variance was
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.7, 4.8 and 0.8 m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with wind speeds peaking up to
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 8.5 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at Ratnagiri and Verem (Fig. 4a.2–b.2). At Karwar,
the wind energy is less compared to the other two sites, still the SLR peaks
are of same magnitude (Fig. 4c.1–c.2), indicating the effect of long waves
generated by the forcing due to E1 in the open ocean. The wind direction
(Fig. 4a.3–c.3) stabilised with respect to the north (Table 2) at Ratnagiri,
Verem and Karwar, respectively. The atmospheric pressure anomaly
(Fig. 4a.4–c.4) shows a variance of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3.6 mb<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and falls by
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6.0 mb during E1 at the three stations. However, anomalous
temperature variations due to E1 were not observed (Fig. 4a.5–c.5), but the
range narrowed, which is also the case with relative humidity at the three
stations (Fig. 4a.6–c.6).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Sea level residual (SLR) at <bold>(a)</bold> Ratnagiri, <bold>(b)</bold> Verem, <bold>(c)</bold> Karwar, <bold>(d)</bold> Tuticorin, <bold>(e)</bold> Mandapam, <bold>(f)</bold> Gopalpur, <bold>(g)</bold> Gangavaram,
<bold>(h)</bold> Kakinada and <bold>(i)</bold> Port Blair.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f03.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p>Meteorological and sea level observations at Ratnagiri, Verem
and Karwar during E1 from 26 November to 1 December 2011. Time is in Indian
standard time (IST).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="center"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Sr No</oasis:entry>  
         <oasis:entry colname="col2">Variables</oasis:entry>  
         <oasis:entry colname="col3">Ratnagiri</oasis:entry>  
         <oasis:entry colname="col4">Verem</oasis:entry>  
         <oasis:entry colname="col5">Karwar</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2">Sea level residual (SLR in cm)</oasis:entry>  
         <oasis:entry colname="col3">47</oasis:entry>  
         <oasis:entry colname="col4">39</oasis:entry>  
         <oasis:entry colname="col5">42</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2</oasis:entry>  
         <oasis:entry colname="col2">SLR rise time from zero-maxima (h)</oasis:entry>  
         <oasis:entry colname="col3">44.16</oasis:entry>  
         <oasis:entry colname="col4">39.33</oasis:entry>  
         <oasis:entry colname="col5">32.58</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3</oasis:entry>  
         <oasis:entry colname="col2">SLR fall time from maxima-zero (h)</oasis:entry>  
         <oasis:entry colname="col3">48.5</oasis:entry>  
         <oasis:entry colname="col4">45.25</oasis:entry>  
         <oasis:entry colname="col5">42.25</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">4</oasis:entry>  
         <oasis:entry colname="col2">SLR peak time</oasis:entry>  
         <oasis:entry colname="col3">29 Nov 2011 03:15</oasis:entry>  
         <oasis:entry colname="col4">28 Nov 2011 18:00</oasis:entry>  
         <oasis:entry colname="col5">28 Nov 2011 12:25</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">5</oasis:entry>  
         <oasis:entry colname="col2">Maximum wind speed (m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col3">7.4</oasis:entry>  
         <oasis:entry colname="col4">9.6</oasis:entry>  
         <oasis:entry colname="col5">4.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">6</oasis:entry>  
         <oasis:entry colname="col2">Half amplitude surge width duration (h)</oasis:entry>  
         <oasis:entry colname="col3">20</oasis:entry>  
         <oasis:entry colname="col4">28</oasis:entry>  
         <oasis:entry colname="col5">26</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">7</oasis:entry>  
         <oasis:entry colname="col2">Wind direction (degrees)</oasis:entry>  
         <oasis:entry colname="col3">253</oasis:entry>  
         <oasis:entry colname="col4">112</oasis:entry>  
         <oasis:entry colname="col5">246</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">8</oasis:entry>  
         <oasis:entry colname="col2">Air temperature, reduction in range (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>  
         <oasis:entry colname="col3">8.3–3.0</oasis:entry>  
         <oasis:entry colname="col4">13.3–6.8</oasis:entry>  
         <oasis:entry colname="col5">15.5–8.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">9</oasis:entry>  
         <oasis:entry colname="col2">Atmospheric pressure fall (mb)</oasis:entry>  
         <oasis:entry colname="col3">5.8</oasis:entry>  
         <oasis:entry colname="col4">6.3</oasis:entry>  
         <oasis:entry colname="col5">5.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">10</oasis:entry>  
         <oasis:entry colname="col2">Relative humidity range fall (%)</oasis:entry>  
         <oasis:entry colname="col3">62.0–40.4</oasis:entry>  
         <oasis:entry colname="col4">65.4–41.3</oasis:entry>  
         <oasis:entry colname="col5">64.8–33.8</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Sea level residual and surface meteorological parameters
during the episodic event E1. <bold>(a.1</bold> to <bold>a.6)</bold> SLR, wind speed, wind direction,
atmospheric pressure anomaly, air temperature and relative humidity at
Ratnagiri, Maharashtra. <bold>(b.1</bold> to <bold>b.6)</bold> same as in <bold>(a)</bold> at Verem, Goa. <bold>(c.1</bold> to
<bold>c.6)</bold> same as in <bold>(a)</bold> at Karwar, Karnataka. The atmospheric pressure anomaly
is estimated by subtracting the mean atmospheric pressure (1 September 2011
to 31 January 2012) from the measured atmospheric pressure for respective
stations.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f04.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Meteorological and sea level observations at Gopalpur,
Gangavaram and Kakinada during E2 from 26–31 December 2011.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="center"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Sr No</oasis:entry>  
         <oasis:entry colname="col2">Variables</oasis:entry>  
         <oasis:entry colname="col3">Gopalpur</oasis:entry>  
         <oasis:entry colname="col4">Gangavaram</oasis:entry>  
         <oasis:entry colname="col5">Kakinada</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">1</oasis:entry>  
         <oasis:entry colname="col2">Sea level residual (SLR in cm)</oasis:entry>  
         <oasis:entry colname="col3">27.4<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">26.5<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col5">32.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">2</oasis:entry>  
         <oasis:entry colname="col2">SLR rise time from zero-maxima (h)</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">123.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">3</oasis:entry>  
         <oasis:entry colname="col2">SLR fall time from maxima-zero (h)</oasis:entry>  
         <oasis:entry colname="col3">–</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">233.25</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">4</oasis:entry>  
         <oasis:entry colname="col2">Maximum wind speed (m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col3">6.1</oasis:entry>  
         <oasis:entry colname="col4">15.0</oasis:entry>  
         <oasis:entry colname="col5">13.3</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">5</oasis:entry>  
         <oasis:entry colname="col2">Wind direction (degrees)</oasis:entry>  
         <oasis:entry colname="col3">184<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">41.9</oasis:entry>  
         <oasis:entry colname="col5">60.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">6</oasis:entry>  
         <oasis:entry colname="col2">Air temperature reduction in range (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>  
         <oasis:entry colname="col3">10.1–2.6</oasis:entry>  
         <oasis:entry colname="col4">8.4–3.1</oasis:entry>  
         <oasis:entry colname="col5">8.5–2.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">7</oasis:entry>  
         <oasis:entry colname="col2">Relative humidity range reduction (%)</oasis:entry>  
         <oasis:entry colname="col3">65.7–27.0</oasis:entry>  
         <oasis:entry colname="col4">57.8–23.8</oasis:entry>  
         <oasis:entry colname="col5">46–13.6</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Maximum of the SLR oscillation at Gopalpur and Gangavaram.
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> The direction fluctuated during E2 and stabilised to
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 184<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> with respect to the north after 5 January 2012
and maintained this direction till 10 January 2012.</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Sea level residual and surface meteorological parameters
during the episodic event E2. <bold>(a.1</bold> to <bold>a.6)</bold> SLR, wind speed, wind direction,
atmospheric pressure anomaly, air temperature and relative humidity at
Gopalpur, Odisha. <bold>(b.1</bold> to <bold>b.6)</bold> same as in <bold>(a)</bold> at Gangavaram, Andhra Pradesh.
<bold>(c.1</bold> to <bold>c.6)</bold> same as in <bold>(a)</bold> at Kakinada, Andhra Pradesh. The atmospheric
pressure anomaly is estimated by subtracting the mean atmospheric pressure
(1 September 2011 to 31 January 2012) from the measured atmospheric pressure
for respective stations.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Response of sea level to meteorological events on the east coast of
India</title>
      <p>Response of sea level as storm surges at different sites, to the tropical
cyclone Thane, E2, which occurred in the BOB are shown (listed) in Fig. 3
(Table 3). SLR exhibits maximum oscillations (variance) of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 27 cm
(47.8 and 11.7 cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at Gopalpur (Fig. 5a.1) and Gangavaram
(Fig. 5b.1), respectively. At Kakinada, the SLR peaked up to 33 cm, with a
variance of 23.3 cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> during E2. Minor dip in SLR <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14.1, 10.3 and
15.0 cm was also observed at the coastal sites located in the AS (Ratnagiri,
Verem and Karwar) due to E2 (Fig. 3a–c). However, at the Island station,
Port Blair, the SLR variations are within <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 cm, and less than at sites
north of Thane (Fig. 3i). The SLR variability at Mandapam and Tuticorin was
less compared to other sites north of Thane track (Fig. 3d and e), probably
due to the following two reasons: (i) the geometrical amplification of the
open-ocean waves as they propagate northwards and (ii) wind speeds are less
near the central depression point and increases towards the periphery. SLR
rise is also seen at Mandapam (Tuticorin) by <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 24.3 (23.1) cm even
during E1. The local surface meteorological conditions along with SLR are
shown in Fig. 5. The large scale extent of E2 is evident in wind and
atmospheric pressure measurements at all the three locations and very similar
meteorological conditions exist at Gangavaram and Kakinada. At Gopalpur, the
winds were weak as compared to the other two southern locations with maximum
wind speed reaching up to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; the direction also
fluctuated during E2 and remained southerly after 5 January 2012 and
maintained this direction till 10 January 2012 (Fig. 5a.2 and a.3, Table 3).
During E2, the wind speed remained high from 26 December 2011 till
4 January 2012. The wind speed peaked up to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14.0 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with
corresponding wind variance of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 13.7 and 10.3 m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at
Gangavaram and Kakinada, respectively (Fig. 5b.2 and c.2). The wind direction
stabilised and remained north-easterly (Fig. 5b.3 and c.3, Table 3) during E2
at Gangavaram and Kakinada. The atmospheric pressure (Fig. 5a.4–c.4) shows a
variance of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2.7 mb<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> and is devoid of any noticeable fall during
E2 at Gopalpur, Gangavaram and Kakinada. Similarly, the anomalous variations
in temperature due to E2 are not observed; however, the range is narrowed down
from <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 9.0 to 2.7 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C at the three stations (Fig. 5a.5–c.5).
Similarly, a reduction in relative humidity range is also observed at the
three stations in the BOB (Fig. 5a.6–c.6, Table 3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Daily mean wind, wind stress, measured sea level residual and
estimated sea level residual from September 2011 to January 2012 at <bold>(a)</bold> Ratnagiri, <bold>(a.1)</bold> daily averaged cross-shore (black) and along-shore (red)
winds stress along with respective winds (dotted black or red),
<bold>(a.2)</bold> daily mean measured sea level residual (black) and estimated residual (red);
<bold>(b)</bold> Verem, <bold>(b.1)</bold> and <bold>(b.2)</bold> same as in <bold>(a)</bold>; <bold>(c)</bold> Karwar, <bold>(c.1)</bold> and <bold>(c.2)</bold> same
as in <bold>(a)</bold>. Daily mean estimated SLR is obtained using the multi-linear regression
method using daily mean cross-shore (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, along-shore (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
components of winds stress and atmospheric pressure (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> as independent
variables.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f06.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Regression model</title>
      <p>Multi-linear regression analysis of SLR as the dependent variable with wind
stress components (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and atmospheric pressure (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
as the independent variable is performed as explained in Sect. 2 (Eq. 1). How
well the model describes the sea level residual is assessed by looking at the
percentage of sea level variance explained (Var<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> by the model.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Daily mean wind, wind stress, measured sea level residual and
estimated sea level residual from September 2011 to January 2012 at
<bold>(a)</bold> Gopalpur, <bold>(a.1)</bold> daily averaged cross-shore (black) and along-shore (red)
winds stress along with respective winds (dotted black or red),
<bold>(a.2)</bold> daily mean measured sea level residual (black) and estimated residual (red);
<bold>(b)</bold> Gangavaram, <bold>(b.1)</bold> and <bold>(b.2)</bold> same as in <bold>(a)</bold>; <bold>(c)</bold> Kakinada, <bold>(c.1)</bold> and
<bold>(c.2)</bold> same as in <bold>(a)</bold>. Daily mean estimated SLR is obtained using the multi-linear regression
method using daily mean cross-shore (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, along-shore (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
components of winds stress and atmospheric pressure (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> as independent
variables.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f07.png"/>

      </fig>

      <p><disp-formula id="Ch1.E4" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Var</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mfrac><mml:mrow><mml:mi mathvariant="normal">variance</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">variance</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mi mathvariant="normal">measured</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">SLR</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mfenced><mml:mo>×</mml:mo><mml:mn>100</mml:mn></mml:mrow></mml:math></disp-formula>

        The multi-linear regression performed with 10, 60 min, 6, 12 and 24 h
averaged data of Verem and Karwar is shown in the Supplement (Figs. S1–S5) along
with the SLR variance (Table S1). The daily average of estimated SLR is
comparable with the daily average of measured SLR, and it is able to account
for the low frequency variations in the SLR during the study period of 5
months (September 2011 to January 2012). Therefore, in this section
daily averaged data series of SLR and AWS is used to perform multi-linear
regression. To begin with, multi-linear regression is performed with
cross-shore (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, along-shore (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> components of winds stress
and atmospheric pressure (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> individually as independent variable to
regress the SLR. This would enable us to know, the contribution to the SLR
variability by the various surface meteorological variables individually.
Then all the three independent variables (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)
together are used to regress the daily mean SLR. Results are listed in
Table 4 and plotted in Figs. 6 and 7. The cross- and along-shore components
are estimated using the local shoreline angles with respect to the north from
Google Earth. In AS, the local shoreline angle estimated at Ratnagiri, Verem
and Karwar with respect to the north is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12, <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>27 and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>,
respectively. Similarly, in the BOB the local shoreline angle with respect to
the north is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 52, 45 and 50<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> at Gopalpur, Gangavaram and Kakinada,
respectively. The variations in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> results in
the SLR variability. The relation between atmospheric pressure and sea level
is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 cm mb<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, inverse barometric effect. The cross-shore
wind (<inline-formula><mml:math display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>) towards land (sea) will give rise to increase (decrease) in SLR
due to wind stress. Since the study region is in the Northern Hemisphere,
the along-shore northward winds with the coast at their right will increase
the sea level due to Coriolis force. Therefore, in the AS the positive (negative)
<inline-formula><mml:math display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> will increase (decrease) the SLR (Fig. 6) and in the BOB the positive
(negative) <inline-formula><mml:math display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> will decrease (increase) the SLR (Fig. 7).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p>The daily mean sea-level variability explained (Var<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> by
linear (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> individually) and multi-linear
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> together) regression during different months
from September 2011 to January 2012.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:colspec colnum="8" colname="col8" align="center"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1">Station</oasis:entry>  
         <oasis:entry colname="col2">Variable</oasis:entry>  
         <oasis:entry colname="col3">Total  Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> (%)</oasis:entry>  
         <oasis:entry rowsep="1" namest="col4" nameend="col8">Monthly Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> (%) </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">Sep</oasis:entry>  
         <oasis:entry colname="col5">Oct</oasis:entry>  
         <oasis:entry colname="col6">Nov</oasis:entry>  
         <oasis:entry colname="col7">Dec</oasis:entry>  
         <oasis:entry colname="col8">Jan</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col8" align="center">Arabian Sea </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ratnagiri</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">43.9, 45.0, 59.3</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">68.4</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">52.6</oasis:entry>  
         <oasis:entry colname="col6">67.8</oasis:entry>  
         <oasis:entry colname="col7">46.7</oasis:entry>  
         <oasis:entry colname="col8">3.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Verem</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">48.9, 39.8, 58.2</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">73.9</oasis:entry>  
         <oasis:entry colname="col4">85.3</oasis:entry>  
         <oasis:entry colname="col5">72.9</oasis:entry>  
         <oasis:entry colname="col6">54.5</oasis:entry>  
         <oasis:entry colname="col7">42.6</oasis:entry>  
         <oasis:entry colname="col8">7.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Karwar</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">37.3, 29.5, 45.2</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">64.8</oasis:entry>  
         <oasis:entry colname="col4">64.0</oasis:entry>  
         <oasis:entry colname="col5">75.7</oasis:entry>  
         <oasis:entry colname="col6">56.7</oasis:entry>  
         <oasis:entry colname="col7">38.8</oasis:entry>  
         <oasis:entry colname="col8">8.3</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col8" align="center">Bay of Bengal </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Gopalpur</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">43.2, 40.1, 31.2</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">53.4</oasis:entry>  
         <oasis:entry colname="col4">58.8</oasis:entry>  
         <oasis:entry colname="col5">8.3</oasis:entry>  
         <oasis:entry colname="col6">44.1</oasis:entry>  
         <oasis:entry colname="col7">74.7</oasis:entry>  
         <oasis:entry colname="col8">10.2</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Gangavaram</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">42.0, 47.6, 44.2</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">56.6</oasis:entry>  
         <oasis:entry colname="col4">64.4</oasis:entry>  
         <oasis:entry colname="col5">14.2</oasis:entry>  
         <oasis:entry colname="col6">37.1</oasis:entry>  
         <oasis:entry colname="col7">64.3</oasis:entry>  
         <oasis:entry colname="col8">11.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kakinada</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">49.4, 55.6, 44.4</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>  
         <oasis:entry colname="col6"/>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3">62.1</oasis:entry>  
         <oasis:entry colname="col4">77.8</oasis:entry>  
         <oasis:entry colname="col5">15.4</oasis:entry>  
         <oasis:entry colname="col6">58.0</oasis:entry>  
         <oasis:entry colname="col7">68.1</oasis:entry>  
         <oasis:entry colname="col8">17.7</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>At all the three study locations in AS, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
individually could explain an average 45 % SLR variability; when
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> together are used to regress the daily mean
SLR, the total Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 69 % (Table 4). Daily mean
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and estimated SLR obtained from independent
variables (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) for Ratnagiri is plotted in Fig. 6a.
It is observed that the estimated daily mean SLR during E1 is able to peak at
up to 96.3 % of the measured daily mean SLR (Fig. 6a.2 and Table 5). The
monthly Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 % during October and December 2011
(Table 4 and Fig. 8a). However, when E1 occurred in November 2011,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> together are able to explain the SLR
variability up to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 68 %. In January 2012, the Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> is
less than 20 % at all the sites in the AS and the BOB (Fig. 8a and Table 4). At
Verem (Fig. 6b), the total Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> is highest among all the
locations in AS, when <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>  together are used to
estimate the daily mean SLR as presented in Fig. 6b.2. During E1, the <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mi>V</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> will tend to decrease (increase) the sea level at Verem (Fig. 6b.1),
still the estimated daily mean SLR is able to reproduce the comparable
response with measured daily mean SLR, with a minor overshoot by
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6.5 % (Table 5). At Karwar also the <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mi>V</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> will tend to
increase (decrease) the sea level during E1 (Fig. 6c.1); however, the
estimated SLR is able to peak only at up to half of the measured daily mean
SLR (Fig. 6c.2 and Table 5).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><caption><p>The peak response of the daily mean sea level residual (SLR)
along with the estimated daily mean SLR during E1 &amp; E2.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">Measured daily-</oasis:entry>  
         <oasis:entry colname="col4">Estimated</oasis:entry>  
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">mean peak</oasis:entry>  
         <oasis:entry colname="col4">daily mean</oasis:entry>  
         <oasis:entry colname="col5">Difference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Station</oasis:entry>  
         <oasis:entry colname="col2">Event</oasis:entry>  
         <oasis:entry colname="col3">SLR (cm)</oasis:entry>  
         <oasis:entry colname="col4">SLR peak (cm)</oasis:entry>  
         <oasis:entry colname="col5">(%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Ratnagiri</oasis:entry>  
         <oasis:entry colname="col2">E1</oasis:entry>  
         <oasis:entry colname="col3">29.6</oasis:entry>  
         <oasis:entry colname="col4">28.5</oasis:entry>  
         <oasis:entry colname="col5">3.7</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Verem</oasis:entry>  
         <oasis:entry colname="col2">E1</oasis:entry>  
         <oasis:entry colname="col3">25.8</oasis:entry>  
         <oasis:entry colname="col4">27.4</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Karwar</oasis:entry>  
         <oasis:entry colname="col2">E1</oasis:entry>  
         <oasis:entry colname="col3">27.7</oasis:entry>  
         <oasis:entry colname="col4">13.6</oasis:entry>  
         <oasis:entry colname="col5">50.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Gopalpur</oasis:entry>  
         <oasis:entry colname="col2">E2</oasis:entry>  
         <oasis:entry colname="col3">29.7</oasis:entry>  
         <oasis:entry colname="col4">32.4</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Gangavaram</oasis:entry>  
         <oasis:entry colname="col2">E2</oasis:entry>  
         <oasis:entry colname="col3">13.8</oasis:entry>  
         <oasis:entry colname="col4">18.5</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>34.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kakinada</oasis:entry>  
         <oasis:entry colname="col2">E2</oasis:entry>  
         <oasis:entry colname="col3">22.3</oasis:entry>  
         <oasis:entry colname="col4">27.1</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>In the BOB, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> individually could explain an
average 44 % SLR variability, when <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> together
are used to regress the daily mean SLR, the total Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> is
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 57 % (Table 4). The monthly Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> is low <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 20 %
in October and January for all the three stations in the BOB as shown in Fig. 8b.
In the BOB, the daily mean <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and estimated SLR is
plotted in Fig. 7 for Gopalpur, Gangavaram and Kakinada. As stated earlier,
along the east coast of India in the BOB, the positive (negative) <inline-formula><mml:math display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> will
decrease (increase) the sea level. Figure 7a.1 shows the <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mi>V</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at
Gopalpur, which are seaward (southward) during E2 favouring the sea-level
fall (rise) due to the surface stress. However, by 1 January 2012 both the
cross- and along-shore component of wind <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mi>V</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> turns landwards (northwards),
imposing a sea-level rise (fall). Sea-level appears to be influenced more by
alongshore wind, where the estimated SLR follows the forcing (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of
<inline-formula><mml:math display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>. Figure 7a.2 is plotted with the estimated and measured daily mean SLR at
Gopalpur, during E2 the estimated SLR is comparable and is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 9 %
more than the measured daily mean SLR (Table 5). It is also observed that the
measured SLR remains high (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 15 cm) till 5 January 2012, whereas the
estimated SLR falls to zero by 31 December 2011. At Gangavaram, the <inline-formula><mml:math display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>U</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>V</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> winds (wind stress) are plotted in Fig. 7b.1,
where the daily mean along-shore (<inline-formula><mml:math display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>) winds are observed to dominate with a
range of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. During E2, the measured (estimated)
daily mean SLR peaks at up to 13.8 (18.5) cm; the estimate overshoots by
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 34 % (Table 5). At Gangavaram, the rise in SLR residual is
predominantly due to high along-shore wind (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi>V</mml:mi></mml:mrow></mml:math></inline-formula>), as explained by
Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> for December 2011 which is 64 %. Also the measured
daily mean SLR remained high from 22 December 2011 to 9 January 2012, whereas
the estimated SLR remained high from 25 December 2011 to 2 January 2012
(Fig. 7b.2). Similarly, at Kakinada also the <inline-formula><mml:math display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> winds (Fig. 7c.1) appears
to dominate with peaks at up to <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. During E2, the
measured (estimated) daily mean SLR peaked at up to 22.3 (27.1) cm; the
estimate overshoots by 21 % (Table 5). At Kakinada, the rise in sea level
residual is predominantly due to strong southward wind (<inline-formula><mml:math display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>). The measured
SLR started rising above zero on 23 December, reached highest level on
29 December and descended by 9 January 2012, whereas the estimated SLR
started ascending on 25 December, reached the highest level on
29 December 2011 and then dropped to zero level by 4 January 2012
(Fig. 7c.2).</p>
</sec>
<sec id="Ch1.S5">
  <title>High frequency response and harbour resonance</title>
      <p>Harbour oscillations (coastal seiches) as explained by Rabinovich (2009) are
specific type of seiche motion that occur in partially enclosed basins (bays,
fjords, inlets and harbours) and are connected through one or more openings
to the sea. They are mainly generated by the long waves entering through the
open boundary (harbour entrance) from the open sea. An another important
property of harbour oscillations is that even small vertical motions (sea
level oscillations) may be accompanied by large horizontal motions (harbour
currents), resulting in increased risk of damage of moored ships, breaking
mooring lines as well as affecting various harbour procedures (Rabinovich,
2009). These waves are similar to a tsunami; however, the catastrophic effects
are normally observed in specific bays and inlets. Some specific sites, that
have favourable conditions for the resonant generation of extreme ocean waves
regularly, have been listed by Monserrat et al. (2006), Rabinovich (2009)
and Joseph (2011). Similar phenomena occurs on the southern west coast of
India, mainly during pre-southwest monsoon during April or May (Kurian et
al., 2009).</p>
      <p>In order to understand the harbour oscillations induced by tropical cyclones
at various locations, the SLRs are high-pass filtered (time period <inline-formula><mml:math display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 2 h) using a 5th order Butterworth filter (Fig. 9). The amplitude of high
frequency SLR (hf-SLR) oscillations in response to E1 at Ratnagiri is
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 cm (Fig. 9a), less at Verem and Karwar (Fig. 9b and c). The
Karwar station is located in open ocean and therefore does not have the
resonance features of a harbour. However, the Verem station is located in
Mandovi estuary and Ratnagiri station is located in a cove and may experience
resonance with meteorological disturbances. In a similar study at Verem,
Mehra et al. (2012) reported the hf-SLR oscillations of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15
(10) cm in response to the Cyclone Yemyin (Phyan) which occurred in the BOB (the AS)
during 23–25 June 2007 (9–12 November 2009). The hf-SLR oscillations at
Tuticorin (Mandapam) are up to 10 (5) cm during E1 (Fig. 9d and e). Mandapam
sea level gauge is located on the common boundary of Palk Strait and the Gulf
of Mannar, whereas the Tuticorin sea-level gauge is located in the Gulf of
Mannar (Fig. 1). The hf-SLR oscillations at the stations located in the BOB are
also shown in Fig. 9. The hf-SLR amplitude due to E2 at Tuticorin, Mandapam
is not observable, and at Gopalpur a brief amplitude of 10 cm is observed
(Fig. 9d, e and f). At Gangavaram (Kakinada) the hf-SLR variations are
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 (5) cm as both the gauges are located in the harbour
(Fig. 9g and h), and <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>4 cm at Port Blair (Fig. 9i).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Daily mean sea-level variability explained (Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> %)
by the multi-linear regression during different months from September 2011
to January 2012. <bold>(a)</bold> Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> (%) at Ratnagiri (black), Verem (red) and
Karwar (blue). <bold>(b)</bold> Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> (%) at Gopalpur (black), Gangavaram (red)
and Kakinada (blue).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f08.png"/>

      </fig>

      <p>Event E1 and background SLR spectra estimated at Karwar, Verem and Ratnagiri
are indicated in Fig. 10. The spectrum of SLR data is obtained using
“pwelch” function from MATLAB with Hamming window of 256 data points and
50 % overlap. Rabinovich (1997) proposed an approach to separate the
influence of source and topography in observed tsunami spectra. The method
assumed a linear tide gauge response to external forcing and is based on
comparative analysis of tsunami and background spectra. This method will be
used to understand the resonant influence of local topography and spectral
characteristics of SLR during an event at a particular location. The data
duration for estimating the spectrum of the SLR during E1 (background) is
from 26 November to 1 December (1 September to 20 November) 2011. Similarly, the
data duration during the event E2 (background) is 25–31 December
(1 September–10 December) 2011, respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>High-pass filtered sea-level residual (hf-SLR) using a 5th
order Butterworth filter (time period <inline-formula><mml:math display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 2 h) at <bold>(a)</bold> Ratnagiri,
<bold>(b)</bold> Verem, <bold>(c)</bold> Karwar, <bold>(d)</bold> Tuticorin, <bold>(e)</bold> Mandapam, <bold>(f)</bold> Gopalpur,
<bold>(g)</bold> Gangavaram, <bold>(h)</bold> Kakinada and <bold>(i)</bold> Port Blair.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f09.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Spectrum of sea level residual (SLR) during E1 at <bold>(a)</bold> Ratnagiri,
<bold>(b)</bold> Verem, <bold>(c)</bold> Karwar, <bold>(d)</bold> Tuticorin and <bold>(e)</bold> Mandapam. The data
duration for estimating the spectrum of the SLR during E1 (background) is
from 26 November to 1 December (1 September to 20 November) 2011. Vertical red
(black) line shows the 95 % confidence interval of the event (background)
spectrum for the respective stations.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f10.png"/>

      </fig>

      <p><?xmltex \hack{\newpage}?>The background spectra of different sites have significant differences at
high frequencies as seen in Fig. 10, indicating the influence of local
topography. The event spectrum at Ratnagiri is high in energy, well lifted
above that of background with major peaks at 127, 80, 47, 30, 26 and 14 min
during E1 as shown in Fig. 10a. At Verem the event spectra is intertwined
with background spectra with peaks at 182, 91, 40 and 20 min as shown in
Fig. 10b. However, the event spectrum at Verem was energetic during the
cyclone Yemyin (2007), September Sumatra Tsunami (2007), and the cyclone
Phyan (2009), where a distinct peak was observed at <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 43 min (Mehra et
al., 2012). Similarly, the event spectrum during E1 (Fig. 10c) at Karwar is
similar to the background with some detectable peaks at 106, 67, 44 and
21 min, and further higher frequencies are merged with the background
spectra, indicating open-ocean behaviour (lack of harbour resonance). The
influence of E1 is also visible at Tuticorin with dominant spectral peaks at
106, 53, 44, 24 and 18 min (Fig. 10d). However, at Mandapam (Fig. 10e) the
event spectra are intertwined with background spectra with peaks at 116, 80,
42 and 26 min.</p>
      <p>Event E2 and background SLR spectra estimated at Gopalpur, Gangavaram,
Kakinada, and Port Blair during E2 are shown in Fig. 11. The event spectrum
during E2 (Fig. 11a) at Gopalpur is intertwined with the background spectra
with some detectable peaks at 106, 80, 60, 45, 36, 21 and 12 min. The
spectral peak at 45 and 21 min are also present in the background signal.
The event spectral energy at Gangavaram (Fig. 8b) is higher compared to the
background SLR spectra with peaks at 213, 98, 67, 41, 25 and 18 min;
however, the background spectra shows peaks at <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 128, 98 and 17 min. The phenomena of harbour resonance is clearly
visible at Gangavaram station
(Fig. 5b.1), where it is not the surge but high frequency oscillations
triggered by the long waves arriving from the open ocean. At Kakinada
(Fig. 11c) the spectra for lower frequencies (time period <inline-formula><mml:math display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 41 min) are
similar, but the energy is enhanced for higher-frequency (shorter
time-period) oscillations with time periods 41, 37, 25 and 12 min, suggesting
resonance occurring in the harbour. At Port Blair, the SLR spectra of both
the event and background show similar variability with event peaks at 160,
85, 47, 41, 26 and 17 min (Fig. 11d). The background SLR spectrum has
noticeable peaks at 41 and 26 min. Event spectra at shorter time periods are
marginally above the background spectra, which indicates the absence of harbour
resonance as Port Blair station provides open-ocean conditions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Spectrum of sea level residual (SLR) during E2 at <bold>(a)</bold> Gopalpur, <bold>(b)</bold> Gangavaram,
<bold>(c)</bold> Kakinada and <bold>(d)</bold> Port Blair. The data duration
for estimating the spectrum of the SLR during E2 (background) is 25–31 December (1 September–10 December) 2011.
Vertical red (black) line shows
the 95 % confidence interval of the event(background) spectrum for the
respective stations.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f11.png"/>

      </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S6">
  <title>Results and discussion</title>
      <p>We summarise the response of sea level of the two events in the AS and the BOB. The
SLR rise (fall) in the AS due to E1 reflects the winds as is also seen in the
estimated SLR. The estimated SLR peak value at Ratnagiri and Verem is
comparable to the measured SLR during E1 but at Karwar it is short by
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 %. The Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> accounted by local surface
meteorological parameters is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 69 %. Var<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:math></inline-formula> is small in
January at all the locations of the present study (Table 4). In a similar
study by Mehra et al. (2010), multi-linear regression analysis (each with a 2-month duration) was also used to resolve the dependence of sea level on
various forcing parameters for 2007 and 2008 at Verem, Goa. During the summer
monsoon (May–September), the sea level variability attributable to wind was
up to 47 and 75 %, respectively, for 2007 and 2008; however, it decreased
to <inline-formula><mml:math display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 20 % during the winter monsoon (November–February). A
significant part of the variability observed in sea level remains unaccounted
for and was attributed to remote forcing. In the BOB, the SLR response to E2 is
of a plateau shape with rising peaks and prolonged falls during E2, which the
estimated SLR is not able to capture. This persistence of high daily mean SLR
state may be attributed to intensity, direction and duration of the event,
the distance from the source etc. The distance of Thane (E2) track is
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 570 km from Gangavaram as shown in Fig. 1. The slope of the
continental shelf will also affect the level of surge in a particular area.
For example areas with shallow slopes of the continental shelf (as in AS)
will allow a greater storm surge, and areas with deep water just offshore
experience large waves, but little storm surge (SLOSH, 2003). At Gangavaram,
the daily mean SLR is low (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 13.8 cm) compared to the other sites on
the east coast of India (Table 5), and this could be attributed to distinct
harbour oscillations at this location (Fig. 5b.1). Also note that when Thane
crossed the Tamil Nadu coast just south of Cuddalore between 01:00 and
02:00 UTC of 30 December 2011, no distinct surge is observed at Mandapam and
Tuticorin, even though Mandapam (Tuticorin) is in close proximity <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 237
(360) km to Thane track. The highest surges usually occur to the right of
the storm track (travelling with the storm) at approximately the radius of
maximum wind whereas Mandapam and Tuticorin were to the left of the track.</p>
      <p>Storm surge is generated partly by the atmospheric pressure variations, but
the main contributing factor is wind acting over the shallow water and it is
an air-sea interaction problem. The basic mechanism involved in the
generation of coastal surges is the influence of a long-shore wind stress,
driving an Ekman transport towards the coast, causing the piling-up of water
within a Rossby radius of deformation. Only the long-shore wind stress and
atmospheric pressure variations associated with a cyclone generate a surge
(Thomson, 1970). The surge travels along the coast as a Kelvin wave, away
from the finite area of forcing, at a speed <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mo>√</mml:mo><mml:mo>(</mml:mo><mml:mi>g</mml:mi><mml:mi>h</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> is the
acceleration due to gravity and <inline-formula><mml:math display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula> is the depth. Such coastally trapped
motions (with the coast to the right (left) in the Northern (Southern)
Hemisphere) are called forced Kelvin waves (e.g. LeBlond and Mysak, 1978;
Gill, 1982). In the spectrum, the storm surges are centred about
10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> Hz, which corresponds to a period of about 3 h (Platzman, 1971).
A few parameter estimates of the E1 and E2 are listed in Table 6. To estimate
the surge propagation speed, we have also added a few more locations, where
hourly sea level data are available from <uri>www.gloss-sealevel.org</uri> (marked
as red star in Fig. 1). Figure 12 shows the sea level response from Colombo,
Sri Lanka to Jask, Iran in the Indian Ocean. Some relevant parameters of the
storm surge are listed in Table 7. The average surge propagation speed is
estimated to be <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6.5 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The E1 moved northwards with an
average along-shore speed of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6.2 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with the track almost
parallel to the west coast of India. The match of the surge propagation speed
of 6.5 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with that of E1 alongshore speed is evidence of a forced
wave. The residual surge lagged the storm by 3, 4, 6.5 and 8.5 h (Fig. 1 and
Table 7) to its nearest proximity at Colombo, Kochi, Karwar and Verem,
respectively, with constant peak amplitude of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 34.6 cm (Fig. 12).
However, at Kochi, the development of secondary peak is clearly visible with
time difference of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14 h between the two peaks of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 13.5 cm.
At Ratnagiri and Karachi the surge peak leads the storm by <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 h
with the constant peak amplitude of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 33.5 cm.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6" specific-use="star"><caption><p>Parameter estimates of the events E1 and E2.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">Average eastward</oasis:entry>  
         <oasis:entry colname="col4">Average northward</oasis:entry>  
         <oasis:entry colname="col5">Minimum</oasis:entry>  
         <oasis:entry colname="col6">Maximum</oasis:entry>  
         <oasis:entry colname="col7">Maximum</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3">velocity</oasis:entry>  
         <oasis:entry colname="col4">velocity</oasis:entry>  
         <oasis:entry colname="col5">coastal pressure</oasis:entry>  
         <oasis:entry colname="col6">winds</oasis:entry>  
         <oasis:entry colname="col7">stress <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Name</oasis:entry>  
         <oasis:entry colname="col2">Duration</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (mb)</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> (m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>  
         <oasis:entry colname="col7">(N m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">DD (E1)</oasis:entry>  
         <oasis:entry colname="col2">26 Nov–1 Dec 2011</oasis:entry>  
         <oasis:entry colname="col3">1.1</oasis:entry>  
         <oasis:entry colname="col4">6.2</oasis:entry>  
         <oasis:entry colname="col5">998</oasis:entry>  
         <oasis:entry colname="col6">17</oasis:entry>  
         <oasis:entry colname="col7">0.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Thane (E2)</oasis:entry>  
         <oasis:entry colname="col2">25–31 Dec 2011</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.1</oasis:entry>  
         <oasis:entry colname="col4">0.3</oasis:entry>  
         <oasis:entry colname="col5">969</oasis:entry>  
         <oasis:entry colname="col6">40.8</oasis:entry>  
         <oasis:entry colname="col7">5.2</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup>

</oasis:table><table-wrap-foot><p>Note: <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mn>3.44</mml:mn><mml:mo>(</mml:mo><mml:mn>1000</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mn>0.644</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>0.000314</mml:mn><mml:msup><mml:mi>V</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (refer
Fandry et al., 1984). <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is minimum central pressure.</p></table-wrap-foot><?xmltex \hack{\vspace*{-3mm}}?></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>Hourly sea level residual at <bold>(a)</bold> Colombo, <bold>(b)</bold> Mandapam, <bold>(c)</bold> Tuticorin,
<bold>(d)</bold> Kochi, <bold>(e)</bold> Karwar, <bold>(f)</bold> Verem, <bold>(g)</bold> Ratnagiri, <bold>(h)</bold> Karachi, <bold>(i)</bold> Chabahar, <bold>(j)</bold> Jask and <bold>(k)</bold> Masirah.
Note: 1 – Sea level residual data at Mandapam, Tuticorin, Karwar, Verem and
Ratnagiri is hourly averaged.
2 – Sea level data at Colombo, Kochi, Karachi, Chabahar, Jask and Masirah is
at hourly interval and downloaded from <uri>www.gloss-sealevel.org</uri>.</p></caption>
        <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f12.png"/>

      </fig>

      <p>Similar response as above was observed by Fandry et al. (1984), when Cyclone
Glynis moved slowly and almost parallel to the western coast of Australia
in February 1970. In this event, a strong coastal peak travelled down the
coast well ahead of the cyclone. In this example <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>&gt;</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mi>f</mml:mi></mml:mrow><mml:mi>C</mml:mi></mml:mfrac></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math></inline-formula> (where<inline-formula><mml:math display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> is Coriolis parameter, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is eastward (northward) velocity of cyclone and <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> is decay
rate, and theory predicts a coastal peak of constant amplitude moving ahead
of the cyclone. In their study, they characterised the sea level response to
tropical cyclone as follows:
<list list-type="custom"><list-item><label>a.</label><p><inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>&lt;</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mi>f</mml:mi></mml:mrow><mml:mi>C</mml:mi></mml:mfrac></mml:mrow></mml:math></inline-formula>: coastal peak of increasing in magnitude
propagating along the coast with speed <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The maximum peak occurs at
the edge <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>y</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> which is the leading (trailing) edge if <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mi>c</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Where <inline-formula><mml:math display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> is alongshore axis and
positive towards north, <inline-formula><mml:math display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is time.</p></list-item><list-item><label>b.</label><p><inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>&gt;</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mi>f</mml:mi></mml:mrow><mml:mi>C</mml:mi></mml:mfrac></mml:mrow></mml:math></inline-formula>: coastal peak of constant magnitude moving
behind (ahead of) the cyclone if <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mi>c</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>&lt;</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p></list-item></list></p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T7" specific-use="star"><caption><p>Surge propagation parameters during E1 along the west coast
of Indian continent.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">Path</oasis:entry>  
         <oasis:entry colname="col5">Propagation</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Peak</oasis:entry>  
         <oasis:entry colname="col3">Time of</oasis:entry>  
         <oasis:entry colname="col4">between two</oasis:entry>  
         <oasis:entry colname="col5">Speed</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Location</oasis:entry>  
         <oasis:entry colname="col2">(cm)</oasis:entry>  
         <oasis:entry colname="col3">peak (IST)</oasis:entry>  
         <oasis:entry colname="col4">locations (km)</oasis:entry>  
         <oasis:entry colname="col5">(m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Colombo</oasis:entry>  
         <oasis:entry colname="col2">31.6</oasis:entry>  
         <oasis:entry colname="col3">26 Nov 2011 11:30</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Mandapam</oasis:entry>  
         <oasis:entry colname="col2">24.3</oasis:entry>  
         <oasis:entry colname="col3">26 Nov 2011 22:00</oasis:entry>  
         <oasis:entry colname="col4">300</oasis:entry>  
         <oasis:entry colname="col5">7.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Tuticorin</oasis:entry>  
         <oasis:entry colname="col2">21.4</oasis:entry>  
         <oasis:entry colname="col3">27 Nov 2011 15:00</oasis:entry>  
         <oasis:entry colname="col4">110</oasis:entry>  
         <oasis:entry colname="col5">1.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kochi (Peak 2)</oasis:entry>  
         <oasis:entry colname="col2">12.9</oasis:entry>  
         <oasis:entry colname="col3">27 11 2011 23:30</oasis:entry>  
         <oasis:entry colname="col4">400</oasis:entry>  
         <oasis:entry colname="col5">13.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Kochi (Peak 1)</oasis:entry>  
         <oasis:entry colname="col2">14.14</oasis:entry>  
         <oasis:entry colname="col3">27 Nov 2011 09:30</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Karwar</oasis:entry>  
         <oasis:entry colname="col2">36.9</oasis:entry>  
         <oasis:entry colname="col3">28 Nov 2011 12:00</oasis:entry>  
         <oasis:entry colname="col4">577</oasis:entry>  
         <oasis:entry colname="col5">7.6</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Verem</oasis:entry>  
         <oasis:entry colname="col2">35.5</oasis:entry>  
         <oasis:entry colname="col3">28 Nov 2011 17:00</oasis:entry>  
         <oasis:entry colname="col4">90</oasis:entry>  
         <oasis:entry colname="col5">5.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Ratnagiri</oasis:entry>  
         <oasis:entry colname="col2">37.0</oasis:entry>  
         <oasis:entry colname="col3">29 Nov 2011 03:00</oasis:entry>  
         <oasis:entry colname="col4">172</oasis:entry>  
         <oasis:entry colname="col5">4.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Karachi</oasis:entry>  
         <oasis:entry colname="col2">31.8</oasis:entry>  
         <oasis:entry colname="col3">1 Dec 2011 07:30</oasis:entry>  
         <oasis:entry colname="col4">1094</oasis:entry>  
         <oasis:entry colname="col5">5.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Chabahar</oasis:entry>  
         <oasis:entry colname="col2">18.4</oasis:entry>  
         <oasis:entry colname="col3">3 Dec 2011 19:30</oasis:entry>  
         <oasis:entry colname="col4">670</oasis:entry>  
         <oasis:entry colname="col5">3.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Jask</oasis:entry>  
         <oasis:entry colname="col2">13.7</oasis:entry>  
         <oasis:entry colname="col3">4 Dec 2011 03:30</oasis:entry>  
         <oasis:entry colname="col4">270</oasis:entry>  
         <oasis:entry colname="col5">6.7</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>In the present study, our observations indicate that the surge peak lagged E1
up to Verem. At Ratnagiri to Karachi the surge peak leads the E1 with an almost constant amplitude (Table 7). Also note that the surge amplitude is
almost constant (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 34 cm) at all the four locations from Karwar to
Karachi. The impact of E1 in the BOB at Port Blair (Fig. 3i) and in the
northern parts of east coast of India at Kakinada, Gopalpur and Gangavaram
(Fig. 3f–h) is not observable. The response of sea level due to E1 at
Masirah (Fig. 12k) is also not observable as the location is on the right
hand side of the event track. Similarly, the sea level variations at the
island locations of Minicoy and Hanimaadhoo are negligible due to E1
(Fig. 13), even though the track of E1 is only <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 170 and 280 km away,
respectively. However, the absence of closed boundary at these Island
locations and their locations on the left side of E1 track imply that no
surges are predicted. The impact of the E1 is observed only in the AS at the
coastal boundary located towards the right side of the event track.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p>Sea level residual at <bold>(a)</bold> Minicoy and <bold>(b)</bold> Hanimaadhoo.
Note: 1 – Sea level data at Minicoy <bold>(b)</bold> Hanimaadhoo is at hourly interval and
downloaded from <uri>www.gloss-sealevel.org</uri>.</p></caption>
        <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://www.ocean-sci.net/11/159/2015/os-11-159-2015-f13.png"/>

      </fig>

</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <title>Conclusion</title>
      <p>It is being realised increasingly that a near real-time network of sea level
and surface meteorological measurements along the coastal and Island
locations of India such as ICON (<uri>http://inet.nio.org/</uri>) established by
CSIR-NIO could play an important role in improving the operational (routine)
predictions of coastal flooding and enable to understand the fundamental
dynamics of these events. Presently, there are only a few mesoscale weather
and sea level networks in some coastal segments of the Indian and eastern Atlantic
oceans to observe such events. It is also expected that this kind of
relatively inexpensive and simple networks, similar to the one in-house
developed and established by CSIR-NIO will be affordable to limited-budget
institutions in their natural hazard mitigation efforts.</p>
      <p>This study attempts to investigate the meteorologically induced surges and
water level oscillations along the select locations in response to the
passage of the storm (E1) in the Arabian Sea and “Thane (E2)” in Bay of
Bengal. The high frequency water level oscillations observed, such as at
Gangavaram during the events are found to be due to the result of harbour
resonance. Each location has a typical event spectrum related to the local
topography. For example, Rabinovich (1997) observed two prominent peaks in
Dimitrova Bay. The first peak with a period of 50 min related to the amplification of
incoming waves over the shelf of the southern Kuril Islands (i.e to the shelf
resonance). The second peak with a period of 18.5 min is caused by the
standing oscillation of the bay itself. Some of the locations in the present
study showed SLR oscillations around periods of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 92, 43 and 23 (100,
42 and 24) min in the AS (the BOB). However, influence of local topography is
clearly noticeable at shorter time periods at different stations. During E1,
even though the local winds are small in magnitude (4–10 m s<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the
surges are 39–47 cm at Ratnagiri, Verem and Karwar with similar peaks in
SLR. In this case, the cyclone track is parallel or at an oblique angle to
the coastline and hence the surge occurs on longer stretches of the
shoreline. Whereas, during E2 (Thane) the cyclone makes a perpendicular
approach to the coast at landfall, and therefore the surges are low at
Mandapam and Tuticorin, as these stations are on the left side of the Thane
track, as compared to the stations on the right side (Gopalpur, Gangavaram
and Kakinada). SLR at Gopalpur, Gangavaram and Kakinada remained high for
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 9 days even after the land fall of Thane. The residual sea levels
from tide gauge stations along the west coast of India and the coast of Pakistan
showed surge peak of constant amplitude propagating northwards with a speed of
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6.5 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during E1. The propagating surges along the western
coast have been identified as forced Kelvin waves with almost constant
amplitude at Karwar, Verem, Ratnagiri and Karachi. The multi-linear
regression using local daily mean winds (cross- and along-shore) in
association with the the atmospheric pressure is able to account for up to
69 % of daily mean sea level residual (SLR) at Ratnagiri, Verem and
Karwar during E1. However, in the BOB up to 57 % of daily mean SLR is
accounted for at Gopalpur, Gangavaram and Kakinada.</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/os-11-159-2015-supplement" xlink:title="pdf">doi:10.5194/os-11-159-2015-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>The authors acknowledge the support and encouragement provided by
S. W. A. Naqvi, director, CSIR-NIO, Goa in
carrying out this work. They are grateful to Anil Shirgoankar for his
consistent technical support in keeping the systems operational. The authors
acknowledge the support of the Finolex Industries Limited, Ratnagiri,
Maharashtra; Indian Naval Office at Verem, Goa; Estuary View Resort and
Survey of India office, Karwar, Karnataka; CSIR-CECRI, Tuticorin, Tamil Nadu;
CMFRI, Mandapam, Tamil Nadu; Kakinada Seaports Ltd., Kakinada,
Andhra Pradesh; Ganagvaram Ports Limited, Visakhapatnam, Andhra Pradesh and
Gopalpur Ports Limited, Odisha for providing safe and secured site for
sea level and surface meteorological measurements. The authors gratefully
acknowledge the financial support (2013–2017) given by the Indian National
Centre for the Ocean information Services (INCOIS), Ministry of Earth
Sciences, Government of India for maintenance of Autonomous Weather Stations
(AWS) under ICON established by CSIR-NIO. Authors thank the two anonymous
reviewers for their comments and suggestions. They are also grateful to the
editor, John M. Huthnance, for his contributions, which enhanced the quality
of the manuscript. This is CSIR-NIO contribution number: 5698.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> Edited by: J. M. Huthnance</p></ack><ref-list>
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