{"id":13725,"date":"2024-03-23T12:50:46","date_gmt":"2024-03-23T12:50:46","guid":{"rendered":"https:\/\/www.geos.iitb.ac.in\/?page_id=13725"},"modified":"2024-03-23T12:57:32","modified_gmt":"2024-03-23T12:57:32","slug":"gs-809-computational-methods-in-exploration-seismology","status":"publish","type":"page","link":"https:\/\/www.geos.iitb.ac.in\/index.php\/gs-809-computational-methods-in-exploration-seismology\/","title":{"rendered":"GS 809 Computational Methods in Exploration Seismology"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"13725\" class=\"elementor elementor-13725\" data-elementor-settings=\"[]\">\n\t\t\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-50c25ee elementor-section-stretched elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"50c25ee\" data-element_type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-856a3c1\" data-id=\"856a3c1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5b8e932 elementor-section-stretched elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"5b8e932\" data-element_type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-214591e\" data-id=\"214591e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c1f26bf elementor-widget elementor-widget-heading\" data-id=\"c1f26bf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.5.3 - 28-12-2021 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">GS 809: Computational Methods in Exploration Seismology<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-834bdb7 elementor-widget elementor-widget-heading\" data-id=\"834bdb7\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Syllabus\u200b<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7ccc168 elementor-widget elementor-widget-text-editor\" data-id=\"7ccc168\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.5.3 - 28-12-2021 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#818a91;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#818a91;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p>Acoustic and elastic wave equations. Finite difference, finite element and pseudo spectral methods of modelling the wave equation. Green&#8217;s functions, Representation and Reciprocity theorem. Forward and adjoint wave equations. Lippmann-Schwinger equation and Born approximation.\u00a0Ray theory: Eikonal and Transport equations. Initial value ray tracing and upwind solutions to the Eikonal equation.\u00a0\u00a0 Seismic attenuation analysis, Kramers-Kronig relations, constant Q models, viscoacoustic wave equation. Waveform inversion: frequency and time domain implementations, adjoint state method, optimization algorithms, role of misfit functions. Introduction and applications of Seismic interferometry. Ambient noise tomography and waveform inversion for noise sources and earth structure.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-61ddbb1 elementor-widget elementor-widget-heading\" data-id=\"61ddbb1\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Texts\/References<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8cca693 elementor-widget elementor-widget-text-editor\" data-id=\"8cca693\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul><li>K. Aki and P.G. Richards: Quantitative Seismology, University Science Books, 2002<\/li><li>Gerard Schuster: Seismic Interferometry, Cambridge University press, 2009<\/li><li>C Chapman:\u00a0 Fundamentals of Seismic Wave Propagation, Cambridge University Press, 2010<\/li><li>Andreas Fichtner: Full Seismic Waveform Modelling and Inversion, Springer, 2011<\/li><li>H Igel: Computational Seismology: A Practical Introduction, Oxford University Press, 2017<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>GS 809: Computational Methods in Exploration Seismology Syllabus\u200b Acoustic and elastic wave equations. Finite difference, finite element and pseudo spectral methods of modelling the wave equation. Green&#8217;s functions, Representation and Reciprocity theorem. Forward and adjoint wave equations. Lippmann-Schwinger equation and Born approximation.&nbsp;Ray theory: Eikonal and Transport equations. Initial value ray tracing and upwind solutions to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/13725"}],"collection":[{"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/comments?post=13725"}],"version-history":[{"count":4,"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/13725\/revisions"}],"predecessor-version":[{"id":13730,"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/pages\/13725\/revisions\/13730"}],"wp:attachment":[{"href":"https:\/\/www.geos.iitb.ac.in\/index.php\/wp-json\/wp\/v2\/media?parent=13725"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}