Институт вычислительной математики
и математической геофизики

The International Conference on Computational Mathematics


Numerical solution of differential and integral equations

Method of a difference solution of a two-phase filtration

Pavlov M.N.

Institute of mathematics and information science of YSU (Yakutsk)

In work the mathematical model of joint isothermal movement of two not mixing up contracted liquids (water and petroleum) in elastic - deforms to a porous medium is considered. The indicial equations are obtained from fundamental conservation laws of a mechanics of multiphase mediums. For account of pressure profile the additive difference scheme is created, and for account of a saturation the obvious monotone difference scheme with approximation of a derivative against a stream is created. The outcomes of numerical accounts are discussed.

Note. Abstracts are published in author's edition

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