517.951 Algorithm for accelerating the computation of filtration parameters in solving the inverse coefficient problem for the diffusivity equation

Maykov D. N. (Udmurt Federal Research Center of the Ural Branch of the Russian Academy of Sciences), Makarov S. S. (Udmurt Federal Research Center of the Ural Branch of the Russian Academy of Sciences)

PRESSURE TRANSIENT ANALYSIS, INVERSE COEFFICIENT PROBLEM, DIFFUSIVITY EQUATION, ACCELERATION ALGORITHM, APPROXIMATION, DIMENSIONLESS PRESSURE


doi: 10.18698/2309-3684-2026-1-8798


This paper presents an algorithm for accelerating the computation of parameters in solving the inverse coefficient problem for the diffusivity equation that describes single-phase isothermal filtration. When solving the inverse coefficient problem to determine the filtration parameters of the "well–reservoir–boundary" system, the main computational load is generated by the numerical operations involved in solving the diffusivity equation. The proposed algorithm is based on applying an approximation of the solution to the diffusivity equation in the form of dimensionless pressure. A numerical study performed for a horizontal well with multi-stage hydraulic fracturing operating under both constant and variable production rates showed that the algorithm markedly reduces the computational complexity of the inverse coefficient problem during hydrodynamic welltest interpretation and substantially shortens computation time.


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