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Russian Geology and Geophysics

2006 year, number 11

ANALYSIS OF THE INVERSE DYNAMIC SEISMIC PROBLEM FOR A LAYERED ANISOTROPIC MEDIUM

A.L. Karchevsky
Sobolev Institute of Mathematics, Siberian Branch of the RAS,
4 prosp. Akad. Koptyuga, Novosibirsk, 630090, Russia
Keywords: Inverse dynamic seismic problem, elasticity system, layered anisotropic medium
Pages: 1150-1164

Abstract

Mathematical properties of the inverse dynamic seismic problem for determining the elasticity parameters of a homogeneous layered anisotropic medium are investigated for the case of orthorhombic symmetry. Analysis of the mathematical properties of the inverse problem allows predicting which parameters can be estimated to a satisfactory accuracy. The suggested inversion algorithm is tested in numerical experiments for determining elastic parameters of a thinly stratified medium including several anisotropic layers.