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Geoinformatika 2012; 2(42) : 38-43

INCREASE OF VERTICAL RESOLUTION FOR LOW-FREQUENCY INDUCTION LOGGING ON 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  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.

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