An algorithm of the explicit type to solve problems of non-isothermal multiphase flows in porous media

A mathematical model of non-isothermal filtration of slightly compressible fluid built by the analogy with quasigasdynamic system of equations as well as an algorithm of the explicit type for its numerical implementation are considered in the paper. Verification is performed by the test problem of two-phase fluid (water-air) infiltration due to the gravity: a good agreement of numerical results with given in the literature results of other authors has been obtained. To investigate an influence of thermal effects on the filtration dynamics computations of three-phase fluid (water-oil-air) flow in a porous medium with a hot water source on the boundary have been fulfilled.