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A software library for hybrid supercomputers is developed to simulate large-scale processes in the subsurface. The original kinetically based model of multiphase porous media flows and computational algorithm of the explicit type underlie the software. Adequacy of the proposed numerical approach is verified by a number of test cases such as the problem of contaminant infiltration into the soil and the problem of oil recovery at water flooding. On the basis of a priory estimation of the run time the procedure of automatic data partitioning between processing units is created to provide the optimal load distribution. High speedups of GPU computing in comparison with computations on CPUs are achieved.
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