Geodesic
Modeling of seismic-acoustic fields in axially symmetric absorbing mediums. Problem statement
Matematičeskoe modelirovanie, Tome 29 (2017) no. 9, pp. 62-76

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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. 
@article{MM_2017_29_9_a4,
     author = {B. D. Plyushchenkov and V. I. Turchaninov and A. A. Nikitin},
     title = {Modeling of seismic-acoustic fields in axially symmetric absorbing mediums. {Problem} statement},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {62--76},
     publisher = {mathdoc},
     volume = {29},
     number = {9},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_9_a4/}
}
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B. D. Plyushchenkov; V. I. Turchaninov; A. A. Nikitin. Modeling of seismic-acoustic fields in axially symmetric absorbing mediums. Problem statement. Matematičeskoe modelirovanie, Tome 29 (2017) no. 9, pp. 62-76. http://geodesic.mathdoc.fr/item/MM_2017_29_9_a4/