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Costa" /> <meta name="citation_author" content="Amélia Novais" /> <meta name="citation_volume" content="76" /> <meta name="citation_issue" content="2" /> <meta name="citation_firstpage" content="U23-U34" /> <meta name="citation_issn" content="0016-8033" /> <meta name="twitter:card" content="summary" /> <meta name="twitter:url" content="https://www.academia.edu/85124992/Fast_estimation_of_common_reflection_surface_parameters_using_local_slopes" /> <meta name="twitter:title" content="Fast estimation of common-reflection-surface parameters using local slopes" /> <meta name="twitter:description" content="Present-day techniques to estimate the traveltime parameters of the common-reflection-surface (CRS) stack are tedious, time-consuming, and expensive processes based on local coherence analyses along a large number of trial surfaces. With the 2D CRS" /> <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/85124992/Fast_estimation_of_common_reflection_surface_parameters_using_local_slopes" /> <meta property="og:title" content="Fast estimation of common-reflection-surface parameters using local slopes" /> <meta property="og:image" content="http://a.academia-assets.com/images/open-graph-icons/fb-paper.gif" /> <meta property="og:description" content="Present-day techniques to estimate the traveltime parameters of the common-reflection-surface (CRS) stack are tedious, time-consuming, and expensive processes based on local coherence analyses along a large number of trial surfaces. With the 2D CRS" /> <meta property="article:author" content="https://ufpa.academia.edu/jessecosta" /> <meta name="description" content="Present-day techniques to estimate the traveltime parameters of the common-reflection-surface (CRS) stack are tedious, time-consuming, and expensive processes based on local coherence analyses along a large number of trial surfaces. With the 2D CRS" /> <title>(PDF) Fast estimation of common-reflection-surface parameters using local slopes | jesse C costa - Academia.edu</title> <link rel="canonical" href="https://www.academia.edu/85124992/Fast_estimation_of_common_reflection_surface_parameters_using_local_slopes" /> <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(1732804682000); window.Aedu.timeDifference = new Date().getTime() - 1732804682000; </script> <script type="application/ld+json">{"@context":"https://schema.org","@type":"ScholarlyArticle","abstract":"Present-day techniques to estimate the traveltime parameters of the common-reflection-surface (CRS) stack are tedious, time-consuming, and expensive processes based on local coherence analyses along a large number of trial surfaces. With the 2D CRS method, faster and cheaper determination is possible. The complete set of CRS parameters can be extracted from seismic data by an application of modern local-slope-extraction techniques. The necessary information about the CRS parameters is contained in the slopes of the common-midpoint section at the central point and one or several common-offset sections in its vicinity. We studied two procedures for the CRS parameter extraction technique. Their difference lies in the way the common-offset parameters are determined. One technique requires slope-derivative information (a possible source of instability); the other uses slope information at two different locations and less data redundancy. Testing on a synthetic data example proved that th...","author":[{"@context":"https://schema.org","@type":"Person","name":"jesse C costa"}],"contributor":[],"dateCreated":"2022-08-19","dateModified":"2022-08-19","datePublished":"2011-01-01","headline":"Fast estimation of common-reflection-surface parameters using local slopes","inLanguage":"en","keywords":["Geophysics","Computer Science","Instability","EXTRACTION","Experimentation","Common Reflection Surface Stack","Slopes"],"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/85124992/Fast_estimation_of_common_reflection_surface_parameters_using_local_slopes","sourceOrganization":[{"@context":"https://schema.org","@type":"EducationalOrganization","name":"ufpa"}]}</script><link rel="stylesheet" media="all" 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stack are tedious, time-consuming, and expensive processes based on local coherence analyses along a large number of trial surfaces. With the 2D CRS method, faster and cheaper determination is possible. The complete set of CRS parameters can be extracted from seismic data by an application of modern local-slope-extraction techniques. The necessary information about the CRS parameters is contained in the slopes of the common-midpoint section at the central point and one or several common-offset sections in its vicinity. We studied two procedures for the CRS parameter extraction technique. Their difference lies in the way the common-offset parameters are determined. One technique requires slope-derivative information (a possible source of instability); the other uses slope information at two different locations and less data redundancy. 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} }; // 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">Present-day techniques to estimate the traveltime parameters of the common-reflection-surface (CRS) stack are tedious, time-consuming, and expensive processes based on local coherence analyses along a large number of trial surfaces. With the 2D CRS method, faster and cheaper determination is possible. The complete set of CRS parameters can be extracted from seismic data by an application of modern local-slope-extraction techniques. The necessary information about the CRS parameters is contained in the slopes of the common-midpoint section at the central point and one or several common-offset sections in its vicinity. We studied two procedures for the CRS parameter extraction technique. Their difference lies in the way the common-offset parameters are determined. One technique requires slope-derivative information (a possible source of instability); the other uses slope information at two different locations and less data redundancy. Testing on a synthetic data example proved that th...</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":89921709,"attachmentType":"pdf","workUrl":"https://www.academia.edu/85124992/Fast_estimation_of_common_reflection_surface_parameters_using_local_slopes"}">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":89921709,"attachmentType":"pdf","workUrl":"https://www.academia.edu/85124992/Fast_estimation_of_common_reflection_surface_parameters_using_local_slopes"}"><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="89921709" data-landing_url="https://www.academia.edu/85124992/Fast_estimation_of_common_reflection_surface_parameters_using_local_slopes" 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="19067500" 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/19067500/Fast_estimation_of_CRS_parameters_using_local_slopes">Fast estimation of CRS parameters using local slopes</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="39239743" href="https://unicamp.academia.edu/J%C3%B6rgSchleicher">Jörg Schleicher</a></div><p class="ds-related-work--metadata ds2-5-body-xs">11th International Congress of the Brazilian Geophysical Society &amp; EXPOGEF 2009, Salvador, Bahia, Brazil, 24-28 August 2009, 2009</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":"Fast estimation of CRS parameters using local slopes","attachmentId":40412225,"attachmentType":"pdf","work_url":"https://www.academia.edu/19067500/Fast_estimation_of_CRS_parameters_using_local_slopes","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/19067500/Fast_estimation_of_CRS_parameters_using_local_slopes"><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="56267311" 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/56267311/CRS_stack_based_seismic_reflection_imaging_a_real_data_example">CRS-stack-based seismic reflection imaging - a real data example</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="11446218" href="https://independent.academia.edu/ZenoHeilmann">Zeno Heilmann</a></div><p class="ds-related-work--abstract ds2-5-body-sm">In the current situation of rapidly growing demand in oil and gas, on-shore exploration, even under difficult conditions, becomes again more and more important. 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ds2-5-body-link" data-author-id="16970109" href="https://independent.academia.edu/MartinTygel">Martin Tygel</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2019</p><p class="ds-related-work--abstract ds2-5-body-sm">We examine the gain in vertical resolution through the application of the Common Reflection Surface (CRS) method. Using simple synthetic data, as well as the CREWES 3C-3D Seismic Data Set, we examined the application of the CRS method with different apertures and studied its effect in the signal-to-noise ratio and compared with the corresponding results of conventional common-midpoint (CMP) processing. We show that the significant improvement in signal-to noise ratio allows a successful application of spectral whitening to enhance the range of high-frequency recovered in the sections. As a consequence, also a significant gain in vertical resolution is also provided by the use of the CRS method. INTRODUCTION In very simple terms, resolution is defined as the ability to separate two adjacent signals and basically depends of the size of heterogeneities of the medium as a function of the wavelength or frequency, emitted by the source. Vertical resolution indicates the minimum thickness ...</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":"94 Improving Seismic Vertical Resolution by Means of the Common-Reflection-Surface ( CRS ) Method","attachmentId":98089655,"attachmentType":"pdf","work_url":"https://www.academia.edu/96096222/94_Improving_Seismic_Vertical_Resolution_by_Means_of_the_Common_Reflection_Surface_CRS_Method","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/96096222/94_Improving_Seismic_Vertical_Resolution_by_Means_of_the_Common_Reflection_Surface_CRS_Method"><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="7" data-entity-id="52672553" 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/52672553/Estimation_of_geological_dip_and_reflector_curvature_from_zero_offset_seismic_reflections_in_heterogeneous_anisotropic_media">Estimation of geological dip and reflector curvature from zero-offset seismic reflections in heterogeneous 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="16970109" href="https://independent.academia.edu/MartinTygel">Martin Tygel</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Studia Geophysica et Geodaetica, 2012</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":"Estimation of geological dip and reflector curvature from zero-offset seismic reflections in heterogeneous anisotropic media","attachmentId":69825060,"attachmentType":"pdf","work_url":"https://www.academia.edu/52672553/Estimation_of_geological_dip_and_reflector_curvature_from_zero_offset_seismic_reflections_in_heterogeneous_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/52672553/Estimation_of_geological_dip_and_reflector_curvature_from_zero_offset_seismic_reflections_in_heterogeneous_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="8" data-entity-id="44005759" 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/44005759/Separation_of_PP_and_PS_wave_reflected_seismic_data_using_two_dimensional_finite_offset_common_reflection_surface_traveltime_approximation">Separation of PP-and PS-wave reflected seismic data using two-dimensional finite offset common-reflection-surface traveltime approximation</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="2780675" href="https://independent.academia.edu/RaphaelDiCarlo">Raphael Di Carlo</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Geophysical Prospecting, 2020</p><p class="ds-related-work--abstract ds2-5-body-sm">Recently, the interest in PS-converted waves has increased for several applications, such as sub-basalt layer imaging, impedance estimates and amplitude-versus-offset analysis. In this study, we consider the problem of separation of PP-and PS-waves from pre-stacked multicomponent seismic data in two-dimensional isotropic medium. We aim to demonstrate that the finite-offset common-reflection-surface traveltime approximation is a good alternative for separating PP-and PS-converted waves in common-offset and common shot configurations by considering a two-dimensional isotropic medium. The five parameters of the finite-offset common-reflection-surface are firstly estimated through the inversion methodology called very fast simulated annealing, which estimates all parameters simultaneously. Next, the emergence angle , one of the inverted parameters, is used to build an analytical separation function of PP and PS reflection separation based on the wave polarization equations. Once the PP-and PS-converted waves were separated, the sections are stacked to increase the signal-to-noise ratio using the special curves derived from finite-offset common-reflection-surface approximation. We applied this methodology to a synthetic dataset from simple-layered to complex-structured media. The numerical results showed that the inverted parameters of the finite offset common-reflection-surface and the separation function yield good results for separating PP-and PS-converted waves in noisy common-offset and common shot gathers.</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":"Separation of PP-and PS-wave reflected seismic data using two-dimensional finite offset common-reflection-surface traveltime approximation","attachmentId":64339721,"attachmentType":"pdf","work_url":"https://www.academia.edu/44005759/Separation_of_PP_and_PS_wave_reflected_seismic_data_using_two_dimensional_finite_offset_common_reflection_surface_traveltime_approximation","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/44005759/Separation_of_PP_and_PS_wave_reflected_seismic_data_using_two_dimensional_finite_offset_common_reflection_surface_traveltime_approximation"><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="9" data-entity-id="19336045" 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/19336045/Higher_Resolution_Determination_of_Zero_Offset_Common_Reflection_Surface_Stack_Parameters">Higher-Resolution Determination of Zero-Offset Common-Reflection-Surface Stack Parameters</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="39599257" href="https://independent.academia.edu/EndriasAsgedom">Endrias Asgedom</a></div><p class="ds-related-work--metadata ds2-5-body-xs">International Journal of Geophysics, 2011</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":"Higher-Resolution Determination of Zero-Offset Common-Reflection-Surface Stack Parameters","attachmentId":40563655,"attachmentType":"pdf","work_url":"https://www.academia.edu/19336045/Higher_Resolution_Determination_of_Zero_Offset_Common_Reflection_Surface_Stack_Parameters","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/19336045/Higher_Resolution_Determination_of_Zero_Offset_Common_Reflection_Surface_Stack_Parameters"><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></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--sticky-ctas","attachmentId":89921709,"attachmentType":"pdf","workUrl":null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--sticky-ctas","attachmentId":89921709,"attachmentType":"pdf","workUrl":null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_89921709" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. 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