Simulation of non-isothermal multiphase filtration with application of explicit difference schemes

The work is devoted to development of an original mathematical model of filtration constructed by analogy with the quasigasdynamic system of equations and allowing implementation via explicit numerical methods. The model is generalized to the case of multiphase multicomponent fluid and takes into account possible heat sources. Test predictions of three-phase fluid flows in homogeneous porous medium are performed.