The boundary value problem of magnetoporosity arising in the study of a near-wellbore space

Sh. Kh. Imomnazarov, M. V. Urev

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Acad. Lavrentieva 6, Novosibirsk, 630090, Russia

Abstract: The existence and uniqueness of the generalized solution of the boundary value problem for the system of magnetoporosity equations in the dissipative approximation have been proved. The results of the numerical solution obtained by the finite element method of the test boundary value problem of magnetoporosity in the frequency domain are presented.

Key words: porous medium, magnetic field, conductive fluid, generalized solution, finite element method.

UDC: 519.632

Received: 19.12.2017
Revised: 13.02.2018
Accepted: 05.10.2018

DOI: 10.15372/SJNM20190102

 English version: Numerical Analysis and Applications, 2019, 12:1, 15–25

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