<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0016-7169</journal-id>
<journal-title><![CDATA[Geofísica internacional]]></journal-title>
<abbrev-journal-title><![CDATA[Geofís. Intl]]></abbrev-journal-title>
<issn>0016-7169</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Instituto de Geofísica]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0016-71692021000300193</article-id>
<article-id pub-id-type="doi">10.22201/igeof.00167169p.2021.60.3.1917</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Love wave in porous layer under initial stress over heterogeneous elastic half-space under gravity and initial stress]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gupta]]></surname>
<given-names><![CDATA[Asit Kr.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Mukhopadhyay]]></surname>
<given-names><![CDATA[Anup Kr.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Patra]]></surname>
<given-names><![CDATA[Pulak]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Kundu]]></surname>
<given-names><![CDATA[Santimoy]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Asansol Engineering College Department of Physics ]]></institution>
<addr-line><![CDATA[Asansol ]]></addr-line>
<country>India</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Asansol Engineering College Department of Computer Science ]]></institution>
<addr-line><![CDATA[Asansol ]]></addr-line>
<country>India</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Brainware Group of Institutions Department of Mathematics ]]></institution>
<addr-line><![CDATA[Kolkata ]]></addr-line>
<country>India</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,IIT ISM Department of Applied Mathematics]]></institution>
<addr-line><![CDATA[Dhanbad Jharkhand]]></addr-line>
<country>India</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>09</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>09</month>
<year>2021</year>
</pub-date>
<volume>60</volume>
<numero>3</numero>
<fpage>193</fpage>
<lpage>210</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0016-71692021000300193&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0016-71692021000300193&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0016-71692021000300193&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In the present paper, the effect of initial stresses and gravity on the propagation of Love waves have been studied in porous layer surface over a heterogeneous half-space. We have considered two types of boundary on free surfaces: (a) rigid boundary and (b) traction free boundary. The propagation of Love waves has been investigated under assumed media in both the cases of boundary and discusses a comparative study of two cases. The dispersion equations and phase velocities have been obtained in both cases. The numerical calculations have been done and presented graphically. This study of Love waves in the assumed medium reveals that the presence of initial stress in the half-space and absence of initial stress in the layer, the displacement of phase velocity in a rigid boundary is more than the traction free boundary.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este trabajo se estudió el efecto de las tensiones iniciales y la gravedad sobre la propagación de las ondas de Love, lo anterior en la superficie de una capa porosa sobre un semiespacio heterogéneo. Se consideraron dos tipos de límite en superficies libres: (a) límite rígido y (b) límite libre de tracción. La propagación de las ondas de Love ha sido investigada bajo supuestos medios, tanto en los casos de frontera como en un estudio comparativo de dos casos. En ambos, se obtuvieron las ecuaciones de dispersión y las velocidades de fase. Se presentan los cálculos numéricos de forma gráfica. Este estudio de las ondas de Love en el medio supuesto revela que la presencia de tensión inicial en el medio espacio y la ausencia de tensión inicial en la capa, el desplazamiento de la velocidad de fase en un límite rígido es mayor que el límite libre de tracción.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Ondas de Love]]></kwd>
<kwd lng="es"><![CDATA[propagación]]></kwd>
<kwd lng="es"><![CDATA[tensión inicial]]></kwd>
<kwd lng="es"><![CDATA[heterogéneo]]></kwd>
<kwd lng="es"><![CDATA[poroso y gravedad]]></kwd>
<kwd lng="en"><![CDATA[Love wave]]></kwd>
<kwd lng="en"><![CDATA[propagation]]></kwd>
<kwd lng="en"><![CDATA[initial stress]]></kwd>
<kwd lng="en"><![CDATA[heterogeneous]]></kwd>
<kwd lng="en"><![CDATA[porous and gravity]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Abd-alla]]></surname>
<given-names><![CDATA[A. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Ahmed]]></surname>
<given-names><![CDATA[S. M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Propagation of Love waves in a non-homogeneous orthotropic astic layer under initial stress overlying semi-infinite medium]]></article-title>
<source><![CDATA[Applied Mathematics and Computation]]></source>
<year>1999</year>
<volume>106</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>449-60</page-range></nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Anjana]]></surname>
<given-names><![CDATA[P.G.]]></given-names>
</name>
<name>
<surname><![CDATA[Samal]]></surname>
<given-names><![CDATA[S.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Mahanti]]></surname>
<given-names><![CDATA[S.K]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Love waves in a fluid-saturated porous layer under a rigid boundary and lying over an elastic half-space under gravity]]></article-title>
<source><![CDATA[Applied Mathematical Modeling]]></source>
<year>2010</year>
<volume>34</volume>
<page-range>1873-83</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Biot]]></surname>
<given-names><![CDATA[M.A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Theory of deformation of a porous viscoelastic anisotropic solid]]></article-title>
<source><![CDATA[Journal of Applied Physics]]></source>
<year>1956</year>
<volume>27</volume>
<page-range>459-67</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Biot]]></surname>
<given-names><![CDATA[M.A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Theory of propagation of elastic waves in fluid saturated porous solid]]></article-title>
<source><![CDATA[Journal of the Acoustical Society of America]]></source>
<year>1956</year>
<volume>28</volume>
<page-range>168-78</page-range></nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bacigalupo]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Gambarotta]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Second-gradient homogenized model for wave propagation in heterogeneous periodic media]]></article-title>
<source><![CDATA[Int. J. Solids Struct]]></source>
<year>2014</year>
<volume>51</volume>
<page-range>1052-65</page-range></nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chakraborty]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Chattopadhyay]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Dey]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The effects of initial stress and irregularity on the propagation of SH-waves]]></article-title>
<source><![CDATA[Indian J. pure appl. Math]]></source>
<year>1983</year>
<volume>14</volume>
<numero>7</numero>
<issue>7</issue>
<page-range>850-63</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chakraborty]]></surname>
<given-names><![CDATA[S.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Dey]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Love waves in dissipative media under gravity]]></article-title>
<source><![CDATA[Garlands Beitragezur Geophysik]]></source>
<year>1981</year>
<volume>9096</volume>
<page-range>521-8</page-range></nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chattaraj]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Samal]]></surname>
<given-names><![CDATA[S.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Mahanti]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Dispersion of Love wave propagating in irregular anisotropic porous stratum under initial stress]]></article-title>
<source><![CDATA[Int. J. Geomech]]></source>
<year>2013</year>
<volume>13</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>402-8</page-range></nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chattopadhyay]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Kar]]></surname>
<given-names><![CDATA[B.K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On the dispersion curves of Love type waves in an initially stressed crustal layer having an irregular interface]]></article-title>
<source><![CDATA[Geophysical Research Bullentin]]></source>
<year>1978</year>
<volume>16</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>13-23</page-range></nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dey]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Gupta]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Gupta]]></surname>
<given-names><![CDATA[A.K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Propagation of Love waves in heterogeneous crust over a heterogeneous mantle]]></article-title>
<source><![CDATA[J. ActaGeophys. Pol. Poland]]></source>
<year>1996</year>
<volume>XLIX</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>125-37</page-range></nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dey]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Gupta]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Gupta]]></surname>
<given-names><![CDATA[A.K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Propagation of Love waves in an elastic layer with void pores]]></article-title>
<source><![CDATA[Sadhana]]></source>
<year>2004</year>
<volume>29</volume>
<page-range>355-63</page-range></nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gupta]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Majhi]]></surname>
<given-names><![CDATA[D.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Kundu]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Vishwakarma]]></surname>
<given-names><![CDATA[S.K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Propagation of Love waves in non-homogeneous substratum over initially stressed heterogeneous half-space]]></article-title>
<source><![CDATA[Appl. Math. Mech. Engl]]></source>
<year>2013</year>
<volume>34</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>249-58</page-range></nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gupta]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Chattopadhyay]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Majhi]]></surname>
<given-names><![CDATA[D.K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Effect of initial stress on propagation of Love waves in an anisotropic porous layer]]></article-title>
<source><![CDATA[J. Solid Mech]]></source>
<year>2010</year>
<volume>2</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>50-62</page-range></nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kalyani]]></surname>
<given-names><![CDATA[V.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Sinha]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Pallavika Chakraborty]]></surname>
<given-names><![CDATA[S.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Mahanti]]></surname>
<given-names><![CDATA[N.C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Finite difference modeling of seismic wave propagation in monoclinic media]]></article-title>
<source><![CDATA[Acta Geophys]]></source>
<year>2008</year>
<volume>56</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>1074-89</page-range></nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kundu]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Gupta]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Manna]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[SH-type waves dispersion in an isotropic medium sandwiched between an initially stressed orthotropic and heterogeneous semi-infinite media]]></article-title>
<source><![CDATA[Meccanica]]></source>
<year>2013</year>
</nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kundu]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Gupta]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Manna]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Propagation of Love wave in fiber-reinforced medium lying over an initially stressed orthotropic half-space]]></article-title>
<source><![CDATA[Int. J. Numer. Anal. Methods Geomech]]></source>
<year>2014</year>
</nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Manna]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Kundu]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Gupta]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Love wave propagation in a piezoelectric layer overlying in an inhomogeneous elastic half-space]]></article-title>
<source><![CDATA[J. Vib. Control]]></source>
<year>2013</year>
</nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pal]]></surname>
<given-names><![CDATA[P.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Sen]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Disturbance of SH-type waves due to shearing-stress discontinuity in a visco-elastic layered half-space]]></article-title>
<source><![CDATA[Int. J. Mech. Solids]]></source>
<year>2011</year>
<volume>6</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>176-89</page-range></nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pradhan]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Samal]]></surname>
<given-names><![CDATA[S.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Mahanti]]></surname>
<given-names><![CDATA[N.C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Influence of anisotropy on the Love waves in a self-reinforced medium]]></article-title>
<source><![CDATA[Tamkang J. Sci. Eng]]></source>
<year>2003</year>
<volume>6</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>173-8</page-range></nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sharma]]></surname>
<given-names><![CDATA[M.D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Wave propagation in a general anisotropic poro-elastic medium with anisotropic permeability: phase velocity and attenuation]]></article-title>
<source><![CDATA[Int. J. Solids Struct]]></source>
<year>2004</year>
<volume>41</volume>
<page-range>4587-97</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
