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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2018 Volume 30, Number 4, Pages 21–42 (Mi mm3955)

This article is cited in 1 paper

Modeling of seismic-acoustic fields in axially symmetric absorbing mediums. Finite-difference scheme

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 finite difference scheme for propagation modeling of the seismoacoustic field in a axial-symmetric absorbing media, excited by a emitter in a borehole fluid (a monopole, a dipole or a quadrupole) at acoustic logging or by a emitter in an elastic medium (a concentrated force, a dipole or a center of expansion) at seismic prospecting is presented. The explicit finite difference scheme approximating the equations of modified Biot’s model describing propagation of acoustic waves into the isotropic porous viscoelastic medium saturated with a viscous fluid is offered.

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

Received: 20.06.2017


 English version:
Mathematical Models and Computer Simulations, 2018, 10:6, 681–694

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