The numerical simulation of one-phase and two-phase gas and liquid filtration within fractured porous reservoirs in micro-scale on the level of several reservoir blocks was carried out. The results of obtained calculations permit to establish the unknown earlier peculiarities of filtration flows within fractured porous reservoirs including the character of exchanging flows between reservoir media. It was established that the ail existing present time mathematical models of two-phase filtration do not take into consideration many physical phenomenons taking place on the reservoir porous block boundaries.

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