{"id":2643,"date":"2015-02-25T12:02:31","date_gmt":"2015-02-25T10:02:31","guid":{"rendered":"http:\/\/www.geology.com.ua\/?page_id=2643"},"modified":"2015-04-09T10:54:32","modified_gmt":"2015-04-09T08:54:32","slug":"2643-2","status":"publish","type":"page","link":"http:\/\/www.geology.com.ua\/en\/2643-2\/","title":{"rendered":""},"content":{"rendered":"<p>Geoinformatika 2012; 2(42) : 38-43<\/p>\n<h4>INCREASE OF VERTICAL RESOLUTION FOR LOW-FREQUENCY INDUCTION LOGGING\u00a0ON THE BASE OF SOLVING THE FIRST KIND FREDHOLM EQUATION OF CONVOLUTION TYPE<\/h4>\n<h5><em>N.L. Mirontsov<\/em><\/h5>\n<p style=\"text-align: justify;\">Described in the paper is an algorithm of solving the first kind Fredholm equation of convolution type, which\u00a0 permits to increase vertical resolution for low-frequency induction logging up to the value comparable with a recording step. Some examples of effective inverse solution with using such algorithm for thin-layer cross-sections are given.<\/p>\n<p style=\"text-align: justify;\"><strong>Keywords:<\/strong> inverse problem, induction logging, Fredholm equation, kernel of convolution type.<\/p>\n<p><a href=\"http:\/\/www.geology.com.ua\/wp-content\/uploads\/2014\/09\/06_Mirontsov.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 2012; 2(42) : 38-43 INCREASE OF VERTICAL RESOLUTION FOR LOW-FREQUENCY INDUCTION LOGGING\u00a0ON THE BASE OF SOLVING THE FIRST KIND FREDHOLM EQUATION OF CONVOLUTION TYPE N.L. Mirontsov Described in the paper is an algorithm of solving the first kind Fredholm equation of convolution type, which\u00a0 permits to increase vertical resolution for low-frequency induction logging up to the value comparable with a recording step. Some examples of effective inverse solution with using such algorithm for thin-layer cross-sections are given. Keywords: inverse problem, induction logging, Fredholm equation, kernel of convolution type.<\/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-2643","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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\/2643-2\/\" \/>\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 2012; 2(42) : 38-43 INCREASE OF VERTICAL RESOLUTION FOR LOW-FREQUENCY INDUCTION LOGGING\u00a0ON THE BASE OF SOLVING THE FIRST KIND FREDHOLM EQUATION OF CONVOLUTION TYPE N.L. Mirontsov Described in the paper is an algorithm of solving the first kind Fredholm equation of convolution type, which\u00a0 permits to increase vertical resolution for low-frequency induction logging up to the value comparable with a recording step. Some examples of effective inverse solution with using such algorithm for thin-layer cross-sections are given. 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Mirontsov Described in the paper is an algorithm of solving the first kind Fredholm equation of convolution type, which\u00a0 permits to increase vertical resolution for low-frequency induction logging up to the value comparable with a recording step. Some examples of effective inverse solution with using such algorithm for thin-layer cross-sections are given. 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