Method for Determining the Filtration Properties of a Fractured Porous Reservoir by Solving the Inverse Problem using Well Output Measurements
A. L. Karchevskii1, L. A. Nazarova2, L. A. Nazarov2
1Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
2Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630091, Russia
Keywords: dual-porosity model, permeability, pressure, flow rate, inverse problem, fractured porous reservoir
Abstract
A method for the quantitative evaluation of the matrix and fracture permeabilities was developed and algorithmically implemented within the framework of the dual-porosity continuum model describing mass transfer in a fractured porous reservoir. The method involves the solution of the inverse coefficient problem whose input data are the well flow rate characteristics measured in the stop-start operation mode. The algorithm is based on the obtained analytical solution of the direct problem of the evolution of hydrodynamic fields in the near-wellbore space. The results of numerical experiments show that the inverse problem has a unique solution with a moderate level of noise in the input data.
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