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Russian Geology and Geophysics

2016 year, number 2

THREE-DIMENSIONAL MODELING OF PULSED SOUNDINGS USING A FAST FOURIER TRANSFORM

M.I. Epov1,2, E.P. Shurina1,3, E.P. Shtabel1, N.V. Shtabel1
1A.A. Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences, pr. Akademika Koptyuga 3, Novosibirsk, 630090, Russia
2Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
3Novosibirsk State Technical University, pr. Karla Marksa 20, Novosibirsk, 630073, Russia
Keywords: Vector finite element method, three-dimensional modeling, Fourier transform, pulsed electromagnetic soundings

Abstract

A method for three-dimensional modeling of pulsed soundings using a fast Fourier transform is developed: instead of the time-domain problem, it is proposed to solve a set of frequency-domain problems obtained by processing the original excitation pulse by a fast Fourier transform. The error of the proposed method compared to the method of solving the time-domain problem is numerically estimated for a model problem with a sinusoidal signal.