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Attributes</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="12143756" href="https://independent.academia.edu/Jo%C3%A3oCarlosRibeiroCruz"><img alt="Profile image of João Carlos Ribeiro Cruz" class="ds-work-card--author-avatar" src="//a.academia-assets.com/images/s65_no_pic.png" />João Carlos Ribeiro Cruz</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">1998, 60th EAGE Conference and Exhibition</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">2 pages</p></div><div 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data-collection-position="0" data-entity-id="50020197" 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/50020197/Numerical_analysis_of_the_finite_offset_common_reflection_surface_traveltime_approximations">Numerical analysis of the finite-offset common-reflection-surface traveltime approximations</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="12143756" href="https://independent.academia.edu/Jo%C3%A3oCarlosRibeiroCruz">João Carlos Ribeiro Cruz</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Applied 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":"Numerical analysis of the finite-offset common-reflection-surface traveltime 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href="https://www.academia.edu/52672551/Model_independent_Travel_time_Attributes_for_2_D_Finite_offset_Multicoverage_Reflections">Model-independent Travel-time Attributes for 2-D, Finite-offset Multicoverage Reflections</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">Pure and Applied Geophysics, 2002</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":"Model-independent Travel-time Attributes for 2-D, Finite-offset Multicoverage 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href="https://www.academia.edu/21580481/Large_offset_approximation_to_seismic_reflection_traveltimes">Large-offset approximation to seismic reflection traveltimes</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="42708569" href="https://jfwtc.academia.edu/GeirHaugen">Geir Haugen</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Geophysical Prospecting, 2000</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":"Large-offset approximation to seismic reflection traveltimes","attachmentId":42122609,"attachmentType":"pdf","work_url":"https://www.academia.edu/21580481/Large_offset_approximation_to_seismic_reflection_traveltimes","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/21580481/Large_offset_approximation_to_seismic_reflection_traveltimes"><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="23581301" 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/23581301/The_application_of_two_parameter_velocity_and_slowness_functions_in_approximating_seismic_reflection_travel_times">The application of two-parameter velocity and slowness functions in approximating seismic reflection travel times</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="45433159" href="https://independent.academia.edu/DavidBooth14">David Booth</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Geophysics and Engineering, 2006</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":"The application of two-parameter velocity and slowness functions in approximating seismic reflection travel times","attachmentId":44003712,"attachmentType":"pdf","work_url":"https://www.academia.edu/23581301/The_application_of_two_parameter_velocity_and_slowness_functions_in_approximating_seismic_reflection_travel_times","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/23581301/The_application_of_two_parameter_velocity_and_slowness_functions_in_approximating_seismic_reflection_travel_times"><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="52672613" 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/52672613/An_Interpretation_of_CRS_Attributes_of_Time_Migrated_Reflections">An Interpretation of CRS Attributes of Time-Migrated Reflections</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--abstract ds2-5-body-sm">Applied to unmigrated data, the Common-Reflection-Surface (CRS) method is able to produce high-quality stacked sections, as well as useful traveltime parameters for a number of imaging and inversion purposes. One difficulty of the CRS method is the treatment of diffractions, especially when located close to reflections, and also triplications. In these regions, the CRS param-eters obtained by coherence-measure procedures become inaccurate. In this context, and also for more general reasons, it might be interesting to investigate the use of the CRS methodology in the time-migrated domain, where diffractions have been collapsed and triplications untangled. The CRS method applied to the time-migrated domain approximates the zero-offset reflection traveltime as a second-order Taylor expansion in image point coordinates, in the vicinity of a given image ray. It is to be remarked the analogy to the conventional CRS application to the unmigrated, poststack domain, in which the zero-offset ...</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":"An Interpretation of CRS Attributes of Time-Migrated Reflections","attachmentId":69825070,"attachmentType":"pdf","work_url":"https://www.academia.edu/52672613/An_Interpretation_of_CRS_Attributes_of_Time_Migrated_Reflections","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/52672613/An_Interpretation_of_CRS_Attributes_of_Time_Migrated_Reflections"><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="31711725" 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/31711725/Non_Linear_Inversion_of_Seismic_Data_for_the_Determination_of_Reflector_Geometry_and_Velocity_Structure">Non-Linear Inversion of Seismic Data for the Determination of Reflector Geometry and Velocity Structure</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="34761542" href="https://auth.academia.edu/CPapazachos">C. Papazachos</a><span>, </span><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="2937954" href="https://auth.academia.edu/GrigoriosTsokas">Grigorios Tsokas</a></div><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":"Non-Linear Inversion of Seismic Data for the Determination of Reflector Geometry and Velocity Structure","attachmentId":52025424,"attachmentType":"pdf","work_url":"https://www.academia.edu/31711725/Non_Linear_Inversion_of_Seismic_Data_for_the_Determination_of_Reflector_Geometry_and_Velocity_Structure","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/31711725/Non_Linear_Inversion_of_Seismic_Data_for_the_Determination_of_Reflector_Geometry_and_Velocity_Structure"><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="106035275" 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/106035275/Inversion_of_reflection_traveltimes_for_transverse_isotropy">Inversion of reflection traveltimes for 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="42768307" href="https://independent.academia.edu/LThomsen1">L. Thomsen</a></div><p class="ds-related-work--metadata ds2-5-body-xs">GEOPHYSICS, 1995</p><p class="ds-related-work--abstract ds2-5-body-sm">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. 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