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Journal of Applied Mechanics and Technical Physics

2022 year, number 4

Simulation of Unsteady Fluid Filtration in a Reservoir with a Hydraulic Fracture

I. L. Khabibullin, A. A. Khisamov
Bashkir State University, Ufa, 450076 Russia
Keywords: formation, hydraulic fracture, unsteady filtration, analytical solution, Laplace transform method, pressure distribution, well flow rate

Abstract

The results of simulation of the process of unsteady fluid filtration in a formation penetrated by a well, which is crossed by a vertical hydraulic fracture of finite length, are presented. Using the method of integral Laplace transformations, an analytical solution of the system of equations describing fluid filtration in a formation and a fracture is constructed. Based on the analysis of the obtained solutions, the main characteristic features of the studied filtration process in the system reservoir - fracture.