{"id":2736,"date":"2015-03-02T10:25:54","date_gmt":"2015-03-02T08:25:54","guid":{"rendered":"http:\/\/www.geology.com.ua\/?page_id=2736"},"modified":"2015-04-09T11:09:43","modified_gmt":"2015-04-09T09:09:43","slug":"2736-2","status":"publish","type":"page","link":"http:\/\/www.geology.com.ua\/en\/2736-2\/","title":{"rendered":""},"content":{"rendered":"<p>Geoinformatika 2011; 4 :\u00a032-43<\/p>\n<h4>CONTINUATION OF A TIME FIELD IN THREE-DIMENSIONAL HETEROGENEOUS ENVIRONMENT IN SEISMIC DATA PROCESSING AND INTERPRETATION<\/h4>\n<h5><em>Pilipenko V.N., Verpakhovska A.\u041e., Kekuh D.A., Pylypenko E.V.<\/em><\/h5>\n<p style=\"text-align: justify;\">The seismic data processing and interpretation as migration transformations and modeling can be realized in finite-difference continuation of a time field. That is reached by a direct solution of an eikonal equation. Theoretical bases and algorithms of three-dimensional finite-difference direct and reverse continuation of the time field are given in the article. Originality of the offered method consists of a strict quadratic approximation of the differential eikonal equation by a finite-difference method with the use of special grids. Application efficiency of a time field continuation in three-dimensional heterogeneous environment is shown on modeling and real materials.<\/p>\n<p><strong>Keywords:<\/strong> finite-difference continuation of a time field, migration, modeling, eikonal equation.<\/p>\n<p><a href=\"http:\/\/www.geology.com.ua\/wp-content\/uploads\/2014\/09\/04_Pylyp.pdf\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-790 alignleft\" src=\"http:\/\/www.geology.com.ua\/wp-content\/uploads\/2013\/09\/pdf.jpg\" alt=\"pdf\" width=\"48\" height=\"48\" srcset=\"http:\/\/www.geology.com.ua\/wp-content\/uploads\/2013\/09\/pdf.jpg 128w, http:\/\/www.geology.com.ua\/wp-content\/uploads\/2013\/09\/pdf-150x150.jpg 150w\" sizes=\"auto, (max-width: 48px) 100vw, 48px\" \/><\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Geoinformatika 2011; 4 :\u00a032-43 CONTINUATION OF A TIME FIELD IN THREE-DIMENSIONAL HETEROGENEOUS ENVIRONMENT IN SEISMIC DATA PROCESSING AND INTERPRETATION Pilipenko V.N., Verpakhovska A.\u041e., Kekuh D.A., Pylypenko E.V. The seismic data processing and interpretation as migration transformations and modeling can be realized in finite-difference continuation of a time field. That is reached by a direct solution of an eikonal equation. Theoretical bases and algorithms of three-dimensional finite-difference direct and reverse continuation of the time field are given in the article. Originality of the offered method consists of a strict quadratic approximation of the differential eikonal equation by a finite-difference method with the use of special grids. Application efficiency of a time field continuation in three-dimensional heterogeneous environment is shown on modeling and real materials. Keywords: finite-difference continuation of a time field, migration, modeling, eikonal equation.<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-2736","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>- \u0421\u0430\u0439\u0442 \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u00ab\u0413\u0435\u043e\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u00bb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/www.geology.com.ua\/en\/2736-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"- \u0421\u0430\u0439\u0442 \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u00ab\u0413\u0435\u043e\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u00bb\" \/>\n<meta property=\"og:description\" content=\"Geoinformatika 2011; 4 :\u00a032-43 CONTINUATION OF A TIME FIELD IN THREE-DIMENSIONAL HETEROGENEOUS ENVIRONMENT IN SEISMIC DATA PROCESSING AND INTERPRETATION Pilipenko V.N., Verpakhovska A.\u041e., Kekuh D.A., Pylypenko E.V. The seismic data processing and interpretation as migration transformations and modeling can be realized in finite-difference continuation of a time field. That is reached by a direct solution of an eikonal equation. Theoretical bases and algorithms of three-dimensional finite-difference direct and reverse continuation of the time field are given in the article. Originality of the offered method consists of a strict quadratic approximation of the differential eikonal equation by a finite-difference method with the use of special grids. Application efficiency of a time field continuation in three-dimensional heterogeneous environment is shown on modeling and real materials. 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The seismic data processing and interpretation as migration transformations and modeling can be realized in finite-difference continuation of a time field. That is reached by a direct solution of an eikonal equation. Theoretical bases and algorithms of three-dimensional finite-difference direct and reverse continuation of the time field are given in the article. Originality of the offered method consists of a strict quadratic approximation of the differential eikonal equation by a finite-difference method with the use of special grids. Application efficiency of a time field continuation in three-dimensional heterogeneous environment is shown on modeling and real materials. 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