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Difference-characteristic method for solution of plane and axisymmetric problems of the dynamics of porous media saturated by a fluid. (Russian) Zbl 0534.76097

The basic equations by which the motion of elasto-porous media is described are written as a first-order partial differential system with eight unknown functions: the first time derivatives of the solid and liquid phases displacements, the steam pressure and the strains. Using the ”one-dimensional” systems of equations obtained from the basic system by striking the derivatives along the other directions, difference schemes are constructed and discussed for realization.
Reviewer: V.A.Kostova

MSC:

76S05 Flows in porous media; filtration; seepage
76M99 Basic methods in fluid mechanics
65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs
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