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- Publisher
- de Gruyter
- Copyright
- © 2016 Abdumauvlen Berdyshev et al.
- eISSN
- 2299-1093
- DOI
- 10.1515/comp-2016-0018
- Publisher site
- See Article on Publisher Site
Abstract
AbstractThe initial boundary value problem of the dynamicsof fluid saturated porous media, described by threeelastic parameters in the reversible hydrodynamic approximation,is numerically solved. A linear two-dimensionalproblem as dynamic equations of porous media for componentsof velocities, stresses and pore pressure is considered.The equations of motion are based on conservationlaws and are consistent with thermodynamic conditions.In this case, a medium is considered to be ideallyisotropic (in the absence of energy dissipation) and twodimensionalheterogeneous with respect to space. For anumerical solution of the dynamic problem of poroelasticitywe use the Laguerre transform with respect to time andthe finite difference technique with respect to spatial coordinateson the staggered grids with fourth order of accuracy.The description of numerical implementation of thealgorithm offered is presented, and its characteristics areanalyzed. Numerical results of the simulation of seismicwave fields for the test layered models have been obtainedon the multiprocessor computer.
Journal
Open Computer Science – de Gruyter
Published: Jan 1, 2016