Geodesic
Modeling of seismic-acoustic fields in axially symmetric absorbing mediums. Finite-difference scheme
Matematičeskoe modelirovanie, Tome 30 (2018) no. 4, pp. 21-42

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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. 
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     author = {B. D. Plyushchenkov and V. I. Turchaninov and A. A. Nikitin},
     title = {Modeling of seismic-acoustic fields in axially symmetric absorbing mediums. {Finite-difference} scheme},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {21--42},
     publisher = {mathdoc},
     volume = {30},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_4_a1/}
}
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B. D. Plyushchenkov; V. I. Turchaninov; A. A. Nikitin. Modeling of seismic-acoustic fields in axially symmetric absorbing mediums. Finite-difference scheme. Matematičeskoe modelirovanie, Tome 30 (2018) no. 4, pp. 21-42. http://geodesic.mathdoc.fr/item/MM_2018_30_4_a1/