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S.A. Tret’yakov (1994)
Electrodynamics of complex media: chiral, biisotropic and some bianisotropic materials, Radiotekh.Elektron, 39
P.N. Aleksandrov, V.N. Krizsky (2018)
Mathematical modeling of effective elastic parameters, Vestn. Yuzhno-Ural’skogo Gos. Univ.Ser. Mat. Model. Program, 11
V. Bursian, Frau Timorew (1926)
Zur Theorie der optisch aktiven isotropen MedienZeitschrift für Physik, 38
Effective electromagnetic parameters of a capillary electrical conduction system in rocks , Izv
Separation of the electromagnetic field by the positions of sources in magnetotelluric method
(2012)
Izuchenie anizotropii v metode soprotivlenii. Uchebnoe posobie (Study of Anisotropy in Resistivity Methos: A Textbook
(2014)
Sourcewise approximation in three-dimensional inverse problems of electric proaspecting
(1983)
Material'nye uravneniya elektrodinamiki (Constitutive Equations of Electrodynamics)
L. Beilina, M. Klibanov (2012)
Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
P.N. Aleksandrov, A.K. Rybin, O.B. Zabinyakova (2018)
Separation of the electromagnetic field by the positions of sources in magnetotelluric method, Uch. Zap. Kazan. Univ.Ser. Estestv. Nauki, 160
(1953)
Methods of Theoretical Physics, in 2 vols
(2000)
Effective electromagnetic parameters of a capillary electrical conduction system in rocks
—One of the promising modern trends in the development of the theory of solving inverse problems is the approach based on the idea of M.V. Klibanov (Beilina and Klibanov, 2012). In the cited work, the authors considered an inverse problem of identifying the objects with different dielectric properties using ground-penetrating radar method, which led to studying a nonlinear differential equation. This paper develops the idea of this approach leading to a linear matrix first-order partial differential equation. The solution of the linear inverse problem is presented for the case when the calculation formula for the field in the direct problem is the formula for the volumetric integral representation. The algorithm of this solution can be used to reconstruct physical properties of heterogeneous and anisotropic media for various geophysical methods. The results of computational experiments on the development of observation systems that simulate some practical cases are demonstrated.
"Izvestiya, Physics of the Solid Earth" – Springer Journals
Published: Apr 1, 2022
Keywords: linear coefficient inverse problem of geophysics; controlled sources; anisotropic, bianisotropic, elastic media
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