Solution of the Inverse Problem of Subsurface Electric Exploration for Horizontally Stratified Medium
Author(s) -
A. L. Karchevsky,
Zhanar Oralbekova,
К.Т. Искаков
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/432121
Subject(s) - generalization , residual , conjugate gradient method , inverse , permittivity , function (biology) , statement (logic) , inverse problem , conductivity , value (mathematics) , mathematics , mathematical analysis , dielectric , computer science , mathematical optimization , algorithm , materials science , physics , statistics , geometry , biology , optoelectronics , quantum mechanics , evolutionary biology , political science , law
In this paper, we offer the generalization of the known technique of the construction of the gradient of the residual functional based on the statement of the conjugate problem for the case when the unknown function is complex valued. The notion of the reference frequency of the medium is introduced. Knowing the value of the reference frequency lets us judge the possibility of simultaneous definition of the dielectric permittivity and conductivity
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