Geodesic
Problem of acoustic diagnostics of a damaged zone
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 492 (2020), pp. 92-96.

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The problem of seismic wave propagation from a source located in a well is considered. Acoustic equations are used to describe the dynamic behavior of the fluid. The damaged zone is described as a porous fluid-saturated medium by applying the Dorovsky model. The elastic approximation is used to describe the dynamic behavior of the surrounding rock. A unified algorithm based on the grid-characteristic approach with curvilinear grids is proposed for full-wave modeling in the entire computational domain. Its distinctive feature is that the necessary contact conditions on the boundary between media with different rheological properties are stated explicitly. The possibility of acoustic diagnostics of the heterogeneity of the damaged zone is numerically explored.
Keywords: mathematical modeling, grid-characteristic method, seismic survey process, porous media, Dorovsky model, damaged zone, fractured medium. 
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     title = {Problem of acoustic diagnostics of a damaged zone},
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I. B. Petrov; V. I. Golubev; A. V. Shevchenko. Problem of acoustic diagnostics of a damaged zone. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 492 (2020), pp. 92-96. http://geodesic.mathdoc.fr/item/DANMA_2020_492_a19/

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