Geodesic
Numerical solving of the liner two-dimensional dynamic problem in liquid-filled porous media
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 2, pp. 256-261

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In this paper the linear two-dimensional dynamic problem in a liquid-filled porous media is numerically solved. As the foundation we use the V. N. Dorovsky linearized model in which the media is described by three elastic parameters. To solve this problem we use a finite-differences scheme of the second order of accuracy. The PML model is also used in this paper. We present several numerical results for a test media which show the efficiency of this model.
Keywords: porous media, finite-difference schem, staggered grid, PML-model. 
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     title = {Numerical solving of the liner two-dimensional dynamic problem in liquid-filled porous media},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Konstantin E. Sorokin; Kholmatjon Kh. Imomnazarov. Numerical solving of the liner two-dimensional dynamic problem in liquid-filled porous media. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 2, pp. 256-261. http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a11/