FORMATION EVALUATION BY INVERSION OF GAMMA-GAMMA LOGS USING PARTICLE TRANSPORT EQUATION
A.I. Khisamutdinov1,2, Yu.A. Pakhotina1,2
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
Keywords: Nuclear-geophysical technologies, transport equation, gamma-gamma method of evaluation of density and other parameters of rock, method of simple iteration, Monte-Carlo method, successive approximation by characteristic interactions, mathematical modeling
Abstract
Computer inversion of measurement data based on the equation of particle transport is a topical component of the modern nuclear-geophysical technologies. In this work we have elaborated an approach and iterative methods for this inversion according to the gamma-gamma method data. In the framework of the “successive approximations by characteristic interactions” approach, typical interactions have been established and iterative methods for the solution of two problems have been elaborated, namely, the problem of evaluation of the formation density and the problem of evaluation of two parameters - the formation density and the mud cake thickness. The numerical experiments confirm the theoretical concepts of the properties of iterative processes and convergence of methods.
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