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Inverse coefficient problems of the elastic-plastic regime of fluid filtration in a porous medium are considered. To solve problems with an additional condition in the form of a given filtration rate at a certain point in the reservoir (at the point of location of an oil producing well in real conditions) in the mode of lowering pressure and a given pressure in the mode of pressure recovery, methods of descent, identification and deterministic moments were applied. Initial data for inverse problems are prepared from solving the corresponding direct problems with given coefficients. It is shown that descent methods require a large number of iterations, and the use of the ravine method is proposed to reduce them. The most effective methods for solving this class of problems were identification methods and determinate moments.

INVERSE PROBLEMS OF ELASTIC-PLASTIC FILTRATION OF LIQUID IN HOMOGENEOUS LAYERS.