The Laguerre spectral method as applied to numerical solution of a two−dimensional linear dynamic seismic problem for porous media
The initial boundary value problem of the dynamics of fluid saturated porous media, described by three elastic parameters in the reversible hydrodynamic approximation, is numerically solved. A linear two-dimensional problem as dynamic equations of porous media for components of velocities, stresses...
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| Published in: | Open computer science Vol. 6; no. 1; pp. 208 - 212 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
De Gruyter Open
01.01.2016
De Gruyter |
| Subjects: | |
| ISSN: | 2299-1093, 2299-1093 |
| Online Access: | Get full text |
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| Summary: | The initial boundary value problem of the dynamics
of fluid saturated porous media, described by three
elastic parameters in the reversible hydrodynamic approximation,
is numerically solved. A linear two-dimensional
problem as dynamic equations of porous media for components
of velocities, stresses and pore pressure is considered.
The equations of motion are based on conservation
laws and are consistent with thermodynamic conditions.
In this case, a medium is considered to be ideally
isotropic (in the absence of energy dissipation) and twodimensional
heterogeneous with respect to space. For a
numerical solution of the dynamic problem of poroelasticity
we use the Laguerre transform with respect to time and
the finite difference technique with respect to spatial coordinates
on the staggered grids with fourth order of accuracy.
The description of numerical implementation of the
algorithm offered is presented, and its characteristics are
analyzed. Numerical results of the simulation of seismic
wave fields for the test layered models have been obtained
on the multiprocessor computer. |
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| ISSN: | 2299-1093 2299-1093 |
| DOI: | 10.1515/comp-2016-0018 |