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<!DOCTYPE html> <html > <head> <meta charset="utf-8"> <meta rel="search" type="application/opensearchdescription+xml" href="/open_search.xml" title="Academia.edu"> <meta content="width=device-width, initial-scale=1" name="viewport"> <meta name="google-site-verification" content="bKJMBZA7E43xhDOopFZkssMMkBRjvYERV-NaN4R6mrs"> <meta name="csrf-param" content="authenticity_token" /> <meta name="csrf-token" content="LztEsMLZ75pOLvZstaobBvWXG/E4XeDamZ2Pk3ZB6dg+z3gattTLNP7fWa8xKlS/isBbHeH8meNz9Iq6f5/YuQ==" /> <meta name="citation_title" content="Inversion of reflection traveltimes for transverse isotropy" /> <meta name="citation_publication_date" content="1995" /> <meta name="citation_journal_title" content="GEOPHYSICS" /> <meta name="citation_author" content="Ilya Tsvankin" /> <meta name="citation_author" content="Leon Thomsen" /> <meta name="citation_volume" content="60" /> <meta name="citation_issue" content="4" /> <meta name="citation_firstpage" content="1095-1107" /> <meta name="citation_issn" content="0016-8033" /> <meta name="twitter:card" content="summary" /> <meta name="twitter:url" content="https://www.academia.edu/106035275/Inversion_of_reflection_traveltimes_for_transverse_isotropy" /> <meta name="twitter:title" content="Inversion of reflection traveltimes for transverse isotropy" /> <meta name="twitter:description" content="In anisotropic media, the short‐spread stacking velocity is generally different from the root‐mean‐square vertical velocity. The influence of anisotropy makes it impossible to recover the vertical velocity (or the reflector depth) using hyperbolic" /> <meta name="twitter:image" content="http://a.academia-assets.com/images/twitter-card.jpeg" /> <meta property="fb:app_id" content="2369844204" /> <meta property="og:type" content="article" /> <meta property="og:url" content="https://www.academia.edu/106035275/Inversion_of_reflection_traveltimes_for_transverse_isotropy" /> <meta property="og:title" content="Inversion of reflection traveltimes for transverse isotropy" /> <meta property="og:image" content="http://a.academia-assets.com/images/open-graph-icons/fb-paper.gif" /> <meta property="og:description" content="In anisotropic media, the short‐spread stacking velocity is generally different from the root‐mean‐square vertical velocity. The influence of anisotropy makes it impossible to recover the vertical velocity (or the reflector depth) using hyperbolic" /> <meta property="article:author" content="https://independent.academia.edu/LThomsen1" /> <meta name="description" content="In anisotropic media, the short‐spread stacking velocity is generally different from the root‐mean‐square vertical velocity. The influence of anisotropy makes it impossible to recover the vertical velocity (or the reflector depth) using hyperbolic" /> <title>(PDF) Inversion of reflection traveltimes for transverse isotropy | L. Thomsen - Academia.edu</title> <link rel="canonical" href="https://www.academia.edu/106035275/Inversion_of_reflection_traveltimes_for_transverse_isotropy" /> <script async src="https://www.googletagmanager.com/gtag/js?id=G-5VKX33P2DS"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-5VKX33P2DS', { cookie_domain: 'academia.edu', send_page_view: false, }); gtag('event', 'page_view', { 'controller': "single_work", 'action': "show", 'controller_action': 'single_work#show', 'logged_in': 'false', 'edge': 'unknown', // Send nil if there is no A/B test bucket, in case some records get logged // with missing data - that way we can distinguish between the two cases. // ab_test_bucket should be of the form <ab_test_name>:<bucket> 'ab_test_bucket': null, }) </script> <script> var $controller_name = 'single_work'; var $action_name = "show"; var $rails_env = 'production'; var $app_rev = '92477ec68c09d28ae4730a4143c926f074776319'; var $domain = 'academia.edu'; var $app_host = "academia.edu"; var $asset_host = "academia-assets.com"; var $start_time = new Date().getTime(); var $recaptcha_key = "6LdxlRMTAAAAADnu_zyLhLg0YF9uACwz78shpjJB"; var $recaptcha_invisible_key = "6Lf3KHUUAAAAACggoMpmGJdQDtiyrjVlvGJ6BbAj"; var $disableClientRecordHit = false; </script> <script> window.require = { config: function() { return function() {} } } </script> <script> window.Aedu = window.Aedu || {}; window.Aedu.hit_data = null; window.Aedu.serverRenderTime = new Date(1732804719000); window.Aedu.timeDifference = new Date().getTime() - 1732804719000; </script> <script type="application/ld+json">{"@context":"https://schema.org","@type":"ScholarlyArticle","abstract":"In anisotropic media, the short‐spread stacking velocity is generally different from the root‐mean‐square vertical velocity. The influence of anisotropy makes it impossible to recover the vertical velocity (or the reflector depth) using hyperbolic moveout analysis on short‐spread, common‐midpoint (CMP) gathers, even if both P‐ and S‐waves are recorded. Hence, we examine the feasibility of inverting long‐spread (nonhyperbolic) reflection moveouts for parameters of transversely isotropic media with a vertical symmetry axis. One possible solution is to recover the quartic term of the Taylor series expansion for [Formula: see text] curves for P‐ and SV‐waves, and to use it to determine the anisotropy. However, this procedure turns out to be unstable because of the ambiguity in the joint inversion of intermediate‐spread (i.e., spreads of about 1.5 times the reflector depth) P and SV moveouts. The nonuniqueness cannot be overcome by using long spreads (twice as large as the reflector dept...","author":[{"@context":"https://schema.org","@type":"Person","name":"L. Thomsen"}],"contributor":[],"dateCreated":"2023-08-28","dateModified":null,"datePublished":"1995-01-01","headline":"Inversion of reflection traveltimes for transverse isotropy","inLanguage":"en","keywords":["Mathematics","Geology","Geophysics","Anisotropy","Seismic Waves","Natural Gas","Anisotropic media","Survey data","Petroleum Industry","High Sensitivity","Transversely Isotropic Solids","Root mean square"],"locationCreated":null,"publication":"GEOPHYSICS","publisher":{"@context":"https://schema.org","@type":"Organization","name":"Society of Exploration Geophysicists"},"image":null,"thumbnailUrl":null,"url":"https://www.academia.edu/106035275/Inversion_of_reflection_traveltimes_for_transverse_isotropy","sourceOrganization":[{"@context":"https://schema.org","@type":"EducationalOrganization","name":null}]}</script><link rel="stylesheet" media="all" href="//a.academia-assets.com/assets/single_work_page/loswp-102fa537001ba4d8dcd921ad9bd56c474abc201906ea4843e7e7efe9dfbf561d.css" /><link 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The influence of anisotropy makes it impossible to recover the vertical velocity (or the reflector depth) using hyperbolic moveout analysis on short‐spread, common‐midpoint (CMP) gathers, even if both P‐ and S‐waves are recorded. Hence, we examine the feasibility of inverting long‐spread (nonhyperbolic) reflection moveouts for parameters of transversely isotropic media with a vertical symmetry axis. One possible solution is to recover the quartic term of the Taylor series expansion for [Formula: see text] curves for P‐ and SV‐waves, and to use it to determine the anisotropy. However, this procedure turns out to be unstable because of the ambiguity in the joint inversion of intermediate‐spread (i.e., spreads of about 1.5 times the reflector depth) P and SV moveouts. The nonuniqueness cannot be overcome by using long spreads (twice as large as the reflector dept...","publisher":"Society of Exploration Geophysicists","publication_date":"1995,,","publication_name":"GEOPHYSICS"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Inversion of reflection traveltimes for transverse isotropy","broadcastable":false,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [42768307]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "control"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":105338708,"attachmentType":"pdf"}"><img alt="First page of “Inversion of reflection traveltimes for transverse isotropy”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/105338708/mini_magick20230828-1-b9gyxr.png?1693229259" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/assets/single_work_splash/adobe.icon-574afd46eb6b03a77a153a647fb47e30546f9215c0ee6a25df597a779717f9ef.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Inversion of reflection traveltimes for transverse isotropy</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="42768307" href="https://independent.academia.edu/LThomsen1"><img alt="Profile image of L. Thomsen" class="ds-work-card--author-avatar" src="//a.academia-assets.com/images/s65_no_pic.png" />L. Thomsen</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">1995, GEOPHYSICS</p><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">description</span><p class="ds2-5-body-sm">13 pages</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 106035275; const worksViewsPath = "/v0/works/views?subdomain_param=api&work_ids%5B%5D=106035275"; const getWorkViews = async (workId) => { const response = await fetch(worksViewsPath); if (!response.ok) { throw new Error('Failed to load work views'); } const data = await response.json(); return data.views[workId]; }; // Get the view count for the work - we send this immediately rather than waiting for // the DOM to load, so it can be available as soon as possible (but without holding up // the backend or other resource requests, because it's a bit expensive and not critical). const viewCount = await getWorkViews(workId); const updateViewCount = (viewCount) => { const viewCountNumber = Number(viewCount); if (!viewCountNumber) { throw new Error('Failed to parse view count'); } const commaizedViewCount = viewCountNumber.toLocaleString(); const viewCountBody = document.getElementById('work-metadata-view-count'); if (viewCountBody) { viewCountBody.textContent = `${commaizedViewCount} views`; } else { throw new Error('Failed to find work views element'); } }; // If the DOM is still loading, wait for it to be ready before updating the view count. if (document.readyState === "loading") { document.addEventListener('DOMContentLoaded', () => { updateViewCount(viewCount); }); // Otherwise, just update it immediately. } else { updateViewCount(viewCount); } })();</script></div><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">In anisotropic media, the short‐spread stacking velocity is generally different from the root‐mean‐square vertical velocity. The influence of anisotropy makes it impossible to recover the vertical velocity (or the reflector depth) using hyperbolic moveout analysis on short‐spread, common‐midpoint (CMP) gathers, even if both P‐ and S‐waves are recorded. Hence, we examine the feasibility of inverting long‐spread (nonhyperbolic) reflection moveouts for parameters of transversely isotropic media with a vertical symmetry axis. One possible solution is to recover the quartic term of the Taylor series expansion for [Formula: see text] curves for P‐ and SV‐waves, and to use it to determine the anisotropy. However, this procedure turns out to be unstable because of the ambiguity in the joint inversion of intermediate‐spread (i.e., spreads of about 1.5 times the reflector depth) P and SV moveouts. The nonuniqueness cannot be overcome by using long spreads (twice as large as the reflector dept...</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--work-card","attachmentId":105338708,"attachmentType":"pdf","workUrl":"https://www.academia.edu/106035275/Inversion_of_reflection_traveltimes_for_transverse_isotropy"}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--work-card","attachmentId":105338708,"attachmentType":"pdf","workUrl":"https://www.academia.edu/106035275/Inversion_of_reflection_traveltimes_for_transverse_isotropy"}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div></div><div data-auto_select="false" data-client_id="331998490334-rsn3chp12mbkiqhl6e7lu2q0mlbu0f1b" data-doc_id="105338708" data-landing_url="https://www.academia.edu/106035275/Inversion_of_reflection_traveltimes_for_transverse_isotropy" data-login_uri="https://www.academia.edu/registrations/google_one_tap" data-moment_callback="onGoogleOneTapEvent" id="g_id_onload"></div><div class="ds-top-related-works--grid-container"><div class="ds-related-content--container ds-top-related-works--container"><h2 class="ds-related-content--heading">Related papers</h2><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="0" data-entity-id="96361634" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/96361634/Nonhyperbolic_reflection_moveout_in_anisotropic_media">Nonhyperbolic reflection moveout in anisotropic media</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="42768307" href="https://independent.academia.edu/LThomsen1">L. Thomsen</a></div><p class="ds-related-work--metadata ds2-5-body-xs">GEOPHYSICS, 1994</p><p class="ds-related-work--abstract ds2-5-body-sm">The standard hyperbolic approximation for reflection moveouts in layered media is accurate only for relatively short spreads, even if the layers are isotropic. Velocity anisotropy may significantly enhance deviations from hyperbolic moveout. Nonhyperbolic analysis in anisotropic media is also important because conventional hyperbolic moveout processing on short spreads is insufficient to recover the true vertical velocity (hence the depth). We present analytic and numerical analysis of the combined influence of vertical transverse isotropy and layering on long‐spread reflection moveouts. Qualitative description of nonhyperbolic moveout on “intermediate” spreads (offset‐to‐depth ratio x/z &lt; 1.7–2) is given in terms of the exact fourth‐order Taylor series expansion for P, SV, and P‐SV traveltime curves, valid for multilayered transversely isotropic media with arbitrary strength of anisotropy. We use this expansion to provide an analytic explanation for deviations from hyperbolic m...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Nonhyperbolic reflection moveout in anisotropic media","attachmentId":98280388,"attachmentType":"pdf","work_url":"https://www.academia.edu/96361634/Nonhyperbolic_reflection_moveout_in_anisotropic_media","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/96361634/Nonhyperbolic_reflection_moveout_in_anisotropic_media"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="1" data-entity-id="7188539" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/7188539/Moveout_inversion_of_P_wave_data_for_horizontal_transverse_isotropy">Moveout inversion of P-wave data for horizontal transverse isotropy</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="12452301" href="https://independent.academia.edu/PedroContreras7">Pedro Contreras</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Geophysics, 1999</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Moveout inversion of P-wave data for horizontal transverse isotropy","attachmentId":48569210,"attachmentType":"pdf","work_url":"https://www.academia.edu/7188539/Moveout_inversion_of_P_wave_data_for_horizontal_transverse_isotropy","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/7188539/Moveout_inversion_of_P_wave_data_for_horizontal_transverse_isotropy"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="2" data-entity-id="3141478" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/3141478/PS_wave_moveout_inversion_for_tilted_transversely_isotropic_media_A_physical_modeling_study">PS-wave moveout inversion for tilted transversely isotropic media: A physical-modeling study</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="3084238" href="https://nio.academia.edu/PawanDewangan">Pawan Dewangan</a></div><p class="ds-related-work--abstract ds2-5-body-sm">ABSTRACT Mode-converted PS-waves can provide critically important information for velocity analysis in transversely isotropic (TI) media. Here we demonstrate, with physical-modeling data, that the combination of long-spread reflection traveltimes of PP-and PS-waves can be inverted for the parameters of a horizontal TI layer with a tilted symmetry axis.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"PS-wave moveout inversion for tilted transversely isotropic media: A physical-modeling study","attachmentId":31050033,"attachmentType":"pdf","work_url":"https://www.academia.edu/3141478/PS_wave_moveout_inversion_for_tilted_transversely_isotropic_media_A_physical_modeling_study","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/3141478/PS_wave_moveout_inversion_for_tilted_transversely_isotropic_media_A_physical_modeling_study"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="3" data-entity-id="22797711" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/22797711/Geometrical_spreading_in_a_layered_transversely_isotropic_medium_with_vertical_symmetry_axis">Geometrical spreading in a layered transversely isotropic medium with vertical symmetry axis</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="14043284" href="https://ntnu-no.academia.edu/KetilHokstad">Ketil Hokstad</a><span>, </span><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="33137250" href="https://ntnu-no.academia.edu/BjornUrsin">Bjorn Ursin</a></div><p class="ds-related-work--metadata ds2-5-body-xs">GEOPHYSICS, 2003</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Geometrical spreading in a layered transversely isotropic medium with vertical symmetry axis","attachmentId":43349926,"attachmentType":"pdf","work_url":"https://www.academia.edu/22797711/Geometrical_spreading_in_a_layered_transversely_isotropic_medium_with_vertical_symmetry_axis","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/22797711/Geometrical_spreading_in_a_layered_transversely_isotropic_medium_with_vertical_symmetry_axis"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="4" data-entity-id="96670067" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/96670067/Slowness_domain_offset_and_traveltime_approximations_in_layered_vertical_transversely_isotropic_media">Slowness domain offset and traveltime approximations in layered vertical transversely isotropic media</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="26169375" href="https://independent.academia.edu/zvikoren">zvi koren</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Geophysical Prospecting, 2018</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Slowness domain offset and traveltime approximations in layered vertical transversely isotropic media","attachmentId":98504239,"attachmentType":"pdf","work_url":"https://www.academia.edu/96670067/Slowness_domain_offset_and_traveltime_approximations_in_layered_vertical_transversely_isotropic_media","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/96670067/Slowness_domain_offset_and_traveltime_approximations_in_layered_vertical_transversely_isotropic_media"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="5" data-entity-id="59998305" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/59998305/Velocity_analysis_using_nonhyperbolic_moveout_in_transversely_isotropic_media">Velocity analysis using nonhyperbolic moveout in transversely isotropic media</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="50493698" href="https://independent.academia.edu/PRasolofosaon">P. Rasolofosaon</a></div><p class="ds-related-work--metadata ds2-5-body-xs">GEOPHYSICS, 1997</p><p class="ds-related-work--abstract ds2-5-body-sm">P‐wave reflections from horizontal interfaces in transversely isotropic (TI) media have nonhyperbolic moveout. It has been shown that such moveout as well as all time‐related processing in TI media with a vertical symmetry axis (VTI media) depends on only two parameters, [Formula: see text] and η. These two parameters can be estimated from the dip‐moveout behavior of P‐wave surface seismic data. Alternatively, one could use the nonhyperbolic moveout for parameter estimation. The quality of resulting estimates depends largely on the departure of the moveout from hyperbolic and its sensitivity to the estimated parameters. The size of the nonhyperbolic moveout in TI media is dependent primarily on the anisotropy parameter η. An “effective” version of this parameter provides a useful measure of the nonhyperbolic moveout even in v(z) isotropic media. Moreover, effective η, [Formula: see text], is used to show that the nonhyperbolic moveout associated with typical TI media (e.g., shales, ...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Velocity analysis using nonhyperbolic moveout in transversely isotropic media","attachmentId":73638594,"attachmentType":"pdf","work_url":"https://www.academia.edu/59998305/Velocity_analysis_using_nonhyperbolic_moveout_in_transversely_isotropic_media","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/59998305/Velocity_analysis_using_nonhyperbolic_moveout_in_transversely_isotropic_media"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="6" data-entity-id="289170" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/289170/Nonhyperbolic_Reflection_Moveout_of_P_Waves_An_Overview_and_Comparison_of_Reasons">Nonhyperbolic Reflection Moveout of P Waves. 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