<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<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 \bartext{Prevention and mitigation of natural and anthropogenic hazards due to land subsidence}?>
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">PIAHS</journal-id>
<journal-title-group>
<journal-title>Proceedings of the International Association of Hydrological Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">PIAHS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Proc. IAHS</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2199-899X</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/piahs-372-455-2015</article-id><title-group><article-title>Numerical and experimental study of strata behavior <?xmltex \hack{\break}?> and land subsidence
in an underground <?xmltex \hack{\break}?> coal gasification project</article-title>
      </title-group><?xmltex \runningtitle{Subsidence modelling in an UCG project}?><?xmltex \runningauthor{N.~N.~Sirdesai et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Sirdesai</surname><given-names>N. N.</given-names></name>
          <email>nikhil.sirdesai@gmail.com</email>
        <ext-link>https://orcid.org/0000-0002-8690-235X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Singh</surname><given-names>R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Singh</surname><given-names>T. N.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ranjith</surname><given-names>P. G.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Earth Sciences, Indian Institute of
Technology Bombay, Mumbai, India</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Deep Earth Energy Lab, Monash University, Clayton, VIC,
3800, Australia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">N. N. Sirdesai (nikhil.sirdesai@gmail.com)</corresp></author-notes><pub-date><day>12</day><month>November</month><year>2015</year></pub-date>
      
      <volume>372</volume>
      <issue>372</issue>
      <fpage>455</fpage><lpage>462</lpage>
      
      <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://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015.html">This article is available from https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015.html</self-uri>
<self-uri xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015.pdf">The full text article is available as a PDF file from https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015.pdf</self-uri>


      <abstract>
    <p>Underground Coal Gasification, with enhanced knowledge of hydrogeological,
geomechanical and environmental aspects, can be an alternative technique to
exploit the existing unmineable reserves of coal. During the gasification
process, petro-physical and geomechanical properties undergo a drastic
change due to heating to elevated temperatures. These changes, caused due to
the thermal anisotropy of various minerals, result in the generation of
thermal stresses; thereby developing new fracture pattern. These fractures
cause the overhead rock strata to cave and fill the gasification chamber
thereby causing subsidence. The degree of subsidence, change in fluid
transport and geomechanical properties of the rock strata, in and around the
subsidence zone, can affect the groundwater flow. This study aims to predict
the thermo-geomechanical response of the strata during UCG. Petro-physical
and geomechanical properties are incorporated in the numerical modelling
software COMSOL Multiphysics and an analytical strength model is developed
to validate and further study the mechanical response and heat conduction of
the host rock around the gasification chamber. Once the problems are
investigated and solved, the enhanced efficiency and the economic
exploitation of gasification process would help meet country's energy
demand.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Most of the energy requirement is fulfilled by conventional fuels such as
coal, oil and gas with a minor share contributed by nuclear fuel and
unconventional energy sources such as solar, wind, tidal and geothermal
energy. It has become imperative to address the growing energy demand by
using unconventional energy sources and by increasing the efficiency of the
conventional sources with the application of novel techniques of fuel
recovery. One such novel technique is  Underground Coal Gasification  (UCG). This technique involves the
conversion of coal into fuel gas, also known as  syngas, within the earth. The coal
undergoes partial combustion by reacting with the mixture of air and steam,
which is injected into the seam through one well. The product of the
combustion is   syngas, which is recovered through the production well/s. The result
of the UCG process is a large cavity which is left behind upon the burning
of the coal seam.</p>
      <p><?xmltex \hack{\newpage}?>Due to the combustion of coal, the temperatures inside the   reactor/cavity reach up to
1200 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Tian et al., 2011). The rocks around the cavity get heated for a
duration of several months. The continuous exposure at such high
temperatures for elongated periods of time causes melting, which induces
several changes in the physical, mineral and mechanical properties of rocks
(Kratzsch, 1983). A huge amount of laboratory research has been carried out
to ascertain the effects of high temperatures on the physical (Wu and Liu,
2008; You and Kang 2009; Tian et al., 2012) and the mechanical (Rao et al.,
2007; Vishal et al., 2011; Ranjith et al., 2012; Tian et al., 2015)
properties of rock. The microstructure of the rock undergoes significant
change, thereby affecting the physical and the mineralogical properties
(Somerton 1992; Hajpál and Török, 2004). The constituent
materials of the rock experience thermal expansion which leads to the
creation of new micro fractures and the widening of the inherent
micro-cracks (Den'gina et al., 1994). The results obtained from these tests
indicate that heating, effects change in the physical and the
thermomechanical properties. However, the effect varies with the change in
rock type and the conditions prior to thermal treatment. The change in
properties due to heating and the extent of the cavity induces instability
in the overlying layer, tending it to fail and fill in the cavity (Kratzsch,
1983; Reddish and Whittaker, 1989). This heavy movement of the overlying
area results in   subsidence.  Cracks formed from the burnt coal seam to the overlying
strata, may result in a leak and cause groundwater contamination (Whittaker
and Reddish, 1989; Burton et al., 2007). The scale of a commercialized UCG
operation will be bigger than that of the pilot and field tests. This would
result into notable ground subsidence caused by the large underground
cavities. Success of a UCG project depends upon the amount of associated
ground movement, thus making it an important factor to evaluate.</p>
      <p>The shape of the UCG cavity governs the mechanical stability, the extent of
ground subsidence and the economic feasibility of the operation (Shirsat and
Riggs 1986; Luo et al., 2009). During UCG, the cavity formed underground
spreads out both radially and axially along the gasification channel (Cena
et al., 1987). The shape of the cavity depends on the type of UCG process
used. As seen in Figs. 1 and 2, the cavity is the largest around the
vicinity of the injection well in   Linked Vertical Well (LVW)  method (Shirsat, 1989). Whereas in the
Controlled Retraction Injection Point (CRIP)  method, due to constant retraction of injection point, the cavity has a
constant cross section (Bell et al., 2011). The CRIP chamber created is
basically not more than   20 m  in width and   20 m  in length (Tian, 2013).</p>
      <p>In this research programme, a numerical model of the overlying strata was
simulated in COMSOL Multiphysics in order to study the behaviour of
mechanical parameters. The dimensions and the depth at which the cavity
exists were altered to study the strata behavior and to analyse the
subsidence caused on the surface. The aim of the ongoing research at the
Department of Earth Sciences, Indian Institute of Technology Bombay, is to
add to the available pool of scientific knowledge regarding subsidence
during a UCG project and to propose possible mitigation techniques so as to
minimize the damage caused to human life, infrastructure and economy.</p>
</sec>
<sec id="Ch1.S2">
  <title>Numerical modelling</title>
      <p>In order to understand the effect of UCG on the overlying strata, a
numerical model was prepared using the Finite Element Analysis (FEA)
simulation software COMSOL Multiphysics. The process of UCG has been
simulated for three coal seam condition. Shallow seated, medium seated and
deep seated coal seams have been simulated at a depth of   100,  500 and 1000 m
respectively (Fig. 3). This study would help us in determining the effect
of cavity depth on subsidence. Similarly, the effect of the cavity width on
subsidence has been determined by simulating widths ranging from   20  to 200 m
(Fig. 4). As stated earlier, the cavity created does not exceed   20 m  in width.
But, in the multiple inlets and single outlet method, the size of the cavity
near the injection points would be large.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Linked Vertical Well Method (Modified after Shirsat, 1989).</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f01.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Controlled Retraction Injection Point Method (Modified after
Bell et al., 2011).</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f02.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>COMSOL Models for Shallow (100 m), Medium (500 m) and Deep (1000 m)
seated cavity.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f03.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Simulated cavity widths.</p></caption>
        <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f04.png"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p>Mechanical Property of Host Rock.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Mechanical Property</oasis:entry>  
         <oasis:entry colname="col2">Value</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Density</oasis:entry>  
         <oasis:entry colname="col2">2231.04 [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>)]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Young's Modulus</oasis:entry>  
         <oasis:entry colname="col2">25.45 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:math></inline-formula> [Pa]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Poisson's Ratio</oasis:entry>  
         <oasis:entry colname="col2">0.24</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cohesion</oasis:entry>  
         <oasis:entry colname="col2">10 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> [Pa]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Angle of Internal Friction</oasis:entry>  
         <oasis:entry colname="col2">50.19 [deg]</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Dilation Angle</oasis:entry>  
         <oasis:entry colname="col2">0 [deg]</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p>The cavity has been visualized to be seated in a host consisting of fine
grained sandstone. The mechanical properties of the host rock are shown in
Table 1. The host rock is considered to be homogenous in nature. The
limitation is to simulate geological discontinuities in the modelling. Thus,
the Mohr-Coulomb Failure Criterion has been used. The criterion states that
failure occurs when the shear stress and the normal stress acting on any
element in the material satisfy the equation
          <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mfenced open="|" close="|"><mml:mi mathvariant="italic">τ</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>⋅</mml:mo><mml:mi>tan⁡</mml:mi><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></disp-formula>
        here, “<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>” is the shear stress, <inline-formula><mml:math display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> the cohesion, and “<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>” denotes
the angle of internal friction.</p>
      <p>With the help of Mohr's circle, this criterion can be written as
          <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mfenced><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mfenced><mml:mo>⋅</mml:mo><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>⋅</mml:mo><mml:mi>cos⁡</mml:mi><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>=</mml:mo><mml:mn>0.</mml:mn></mml:mrow></mml:math></disp-formula>
        Initially, the model was simulated without the presence of cavity and
gravity was applied to the entire system. Later the cavity was modelled and
the vertical and the horizontal movement of the upper boundary was observed
to study the displacement caused at the surface. Parametric sweep was
applied to observe the effect of various cavity widths on the behaviour of
strata.</p>
      <p>The effect of high temperatures on the strata and the rate of heat transfer
was observed by applying high temperature element (1000 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) to the cavity
boundaries. The thermal properties of the host rock are shown in Table 2.
Equation (3) was used to calculate the heat transfer through solids.
          <disp-formula id="Ch1.E3" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>⋅</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>⋅</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mi>u</mml:mi><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mi>T</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>⋅</mml:mo><mml:mi>q</mml:mi><mml:mo>=</mml:mo><mml:mi>Q</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        <?xmltex \hack{\newpage}?><?xmltex \hack{\noindent}?>For a steady-state problem the temperature does not change with time and the
first term disappears. The equation includes the following material
properties: density “<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula>”, heat capacity “<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>”, velocity field “<inline-formula><mml:math display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula>” and
a heat source (or sink) “<inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>”.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p><bold>(a)</bold> Compression and Extension zones during Subsidence (NCB,
1975; Whittaker and Reddish, 1989).
<bold>(b)</bold> Movement of materials around the epicentre of subsidence.
<bold>(c)</bold> Empirical Subsidence Model (NCB, 1975; Whittaker and Reddish,
1989).</p></caption>
        <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f05.jpg"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Thermal Property of Host Rock.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Thermal Property</oasis:entry>  
         <oasis:entry colname="col2">Value</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Thermal Conductivity</oasis:entry>  
         <oasis:entry colname="col2">2.348 [W (m <inline-formula><mml:math display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> K)<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:row>  
         <oasis:entry colname="col1">Heat Capacity at Constant Pressure</oasis:entry>  
         <oasis:entry colname="col2">752.72 [J (kg <inline-formula><mml:math display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> K)<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:row>  
         <oasis:entry colname="col1">Coefficient of Thermal Expansion</oasis:entry>  
         <oasis:entry colname="col2">11 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> [K<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:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Total strata displacement around a shallow seated cavity.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f06.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Horizontal and Vertical displacement of surface induced by a
shallow seated cavity.</p></caption>
        <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f07.jpg"/>

      </fig>

      <?xmltex \floatpos{ph!}?><fig id="Ch1.F8" specific-use="star"><caption><p>Total strata displacement around a medium seated cavity.</p></caption>
        <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f08.jpg"/>

      </fig>

      <?xmltex \floatpos{ph!}?><fig id="Ch1.F9" specific-use="star"><caption><p>Horizontal and Vertical displacement of surface induced by a
medium seated cavity.</p></caption>
        <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f09.jpg"/>

      </fig>

      <?xmltex \floatpos{ph!}?><fig id="Ch1.F10" specific-use="star"><caption><p>Total strata displacement around a deep seated cavity.</p></caption>
        <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f10.jpg"/>

      </fig>

      <?xmltex \floatpos{ph!}?><fig id="Ch1.F11" specific-use="star"><caption><p>Horizontal and Vertical displacement of surface induced by a
deep seated cavity.</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f11.jpg"/>

      </fig>

      <?xmltex \floatpos{ph!}?><fig id="Ch1.F12" specific-use="star"><caption><p>Effect of cavity width and depth on subsidence.</p></caption>
        <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f12.jpg"/>

      </fig>

      <?xmltex \floatpos{ph!}?><fig id="Ch1.F13" specific-use="star"><caption><p>Temperature distribution around a shallow seated cavity.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f13.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14" specific-use="star"><caption><p>Temperature distribution around a medium seated cavity.</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f14.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15" specific-use="star"><caption><p>Temperature distribution around a deep seated cavity.</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f15.jpg"/>

      </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
      <p>During the period of 1950–1965,   200  coalfields were observed for subsidence and
an empirical model was formed. The model includes the change in surface
profile, zones of extensions and compression and the direction of ground
movement (NCB, 1975; Whittaker and Reddish, 1989). A schematic view of the
subsidence model is provided in Figs. 5a and 5c. The subsided surface is
categorized in two zones namely, Extension Zone and Compression Zone.
Subsidence causes the material, near the subsided zone, to move towards the
epicentre, thereby creating a compression zone. As the material moves away
from the sides, an extension zone develops (Fig. 5a). If the epicentre is
considered to be the origin i.e. “0”, the material on the negative <inline-formula><mml:math display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis
move towards the origin, as seen in Fig. 5b. Due the surficial movement,
particle P1 is drawn towards the epicentre. This causes its value to
increase. Similarly, particle P2 is also drawn towards the centre, thereby
causing a decrease in its value. If the movement of all such particles are
plotted, the resulting graph of the total horizontal displacement would be
as seen in Fig. 5c.</p>
      <p>Figure 6 shows the total displacement caused on the surface due to the
smallest and the largest cavity. The   20 m  wide cavity does not affect the
overlying strata as much as the   200 m  wide cavity. A cavity induces instability
in the overlying strata. This affects the equilibrium of the rock directly
above the cavity causing it to break away and fill in the cavity. This
process continues until an equilibrium is attained. The amount of material
required to fill in the   20 m  cavity is far less than the   200 m  cavity. A small
opening thus causes less disturbance to the strata as compared to a large
opening. The horizontal and the vertical displacements of the surface is
shown in Fig. 7. Point   600  on the <inline-formula><mml:math display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis of both the graphs represent the
midpoint of the cavity below the ground. A subsidence of approximately
40 mm  is observed when the cavity width is   200 m. Cavities created at a depth of
500 m induced less disturbance to the overlying strata as compared to the shallow
seam model. The area just above the cavity displays the highest amount of
displacement (Fig. 8). The effect of the cavity on the surface can be
observed in Fig. 9. The surficial movements are less than those observed
in shallow seam model. With the increase in the depth, the subsidence
influence zone decreases. Maximum subsidence of   38 mm  is observed when the cavity
width is   200 m. As the depth increases, the effect on the surface reduces. This
can be seen in Fig. 10, where the cavity was created at a depth of
1000 m. The effect on the surface is the least as compared to the shallow and the
medium depth models (Fig. 11). The   200 m  wide cavity induced the highest
vertical displacement of   36 mm. The graphs obtained for the horizontal
displacement in Figs. 7, 9 and 11 follow the empirical model. A
comparative analysis of vertical displacements obtained for cavities at
various depths is shown in Fig. 12. It can be inferred that cavities
having width below   120 m  induce subsidence of similar magnitude. Only after
120 m, do we observe a distinct variance in the magnitude of subsidence.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F16"><caption><p>Effect of cavity width and depth on temperature.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://piahs.copernicus.org/articles/372/455/2015/piahs-372-455-2015-f16.jpg"/>

      </fig>

      <p>Variations in the temperature field around the cavities are shown in Figs. 13, 14 and 15. The region near the cavity are heated up to   1000 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C which
causes the rock to undergo several changes. These changes further affect the
strength of the rocks. A shallow seated (100 m) UCG process generates a very high
temperature zone over the ground surface as compared to medium (500 m) and deep
seated (1000 m) processes. Figure 16 illustrates the temperatures observed for the
point on the ground surface lying exactly over the centre of the cavity.</p>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>The cavities less than   100 m  in width induce low and similar magnitudes of
subsidence on the surface. High magnitudes of subsidence are observed when
the chamber is near to the ground surface. The magnitude of subsidence is
inversely proportional to the depth at which the cavity is situated. The
thermal studies of the cavity and the strata exhibit a similar relationship.
It should be noted that the geomechanical and thermal studies were conducted
for a homogenous strata consisting of single type of rock. The actual
scenario observed in the field could vary owing to the presence of various
strata and various geological discontinuities. The magnitude of subsidence
and the heat distribution depends on the type of litho-units. Rocks such as
siltstone, claystone and shale exhibit higher swelling properties as
compared to sandstone. The presence of such rock types in the strata may
lower the subsidence effect on the surface. Moreover, presence of ground
water and geological discontinuities would affect the temperature
distribution in the strata. Thus it is imperative to carry out a detailed
geological exploration of the area before the commencement of UCG process. A
cavity seated at a higher depth has minimal effect on the strata. Therefore,
a deep seated coal seam is conducive for the application of UCG process.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>The authors thank the anonymous reviewers for their careful review and
contributions, which led to the improvement of the manuscript. The first
author is thankful to the other three authors for their constant support and
invaluable advice during the experimental and numerical analysis.</p></ack><ref-list>
    <title>References</title>

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