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Matem. Mod., 2017, Volume 29, Number 9, Pages 62–76 (Mi mm3887)  

This article is cited in 1 scientific paper (total in 1 paper)

Modeling of seismic-acoustic fields in axially symmetric absorbing mediums. Problem statement

B. D. Plyushchenkova, V. I. Turchaninova, A. A. Nikitinb

a Keldysh Institute of Applied Mathematics, Russian Academy of Science
b Lomonosov Moscow State University, Faculty of Geology

Abstract: The problem statement of modeling of seismic prospecting in viscoelastic mediums for various emitter types is considered. The modified Biot’s equations describing a propagation of acoustic waves in isotropic porous viscoelastic medium, saturated with a viscous compressible fluid, are proposed. Problem statement of numerical modeling of acoustic logging in a borehole, filled with a compressible fluid, in axially symmetric case for multipole emitters, located on the borehole axis, is also formulated. The new effective method is suggested for the solution of acoustic equations in a viscous fluid for explicit finite-difference schemes. The enough effective conditions of transparency on exterior boundary of calculation region are offered.

Keywords: viscoelasticity, modified Biot’s equations, acoustic logging, seismic prospecting.

Funding Agency
Работа выполнена в соответствии с 2004 COOPERATION AGREEMENT between Shell International E & P Inc and Keldysh Institute of Applied Mathematics, Moscow.


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Received: 14.11.2016

Citation: B. D. Plyushchenkov, V. I. Turchaninov, A. A. Nikitin, “Modeling of seismic-acoustic fields in axially symmetric absorbing mediums. Problem statement”, Matem. Mod., 29:9 (2017), 62–76

Citation in format AMSBIB
\Bibitem{PlyTurNik17}
\by B.~D.~Plyushchenkov, V.~I.~Turchaninov, A.~A.~Nikitin
\paper Modeling of seismic-acoustic fields in axially symmetric absorbing mediums. Problem statement
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 9
\pages 62--76
\mathnet{http://mi.mathnet.ru/mm3887}
\elib{http://elibrary.ru/item.asp?id=29972280}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. B. D. Plyuschenkov, V. I. Turchaninov, A. A. Nikitin, “Modelirovanie seismoakusticheskikh polei v aksialno-simmetrichnykh pogloschayuschikh sredakh. Raznostnaya skhema”, Matem. modelirovanie, 30:4 (2018), 21–42  mathnet  elib
  • Математическое моделирование
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