Approach to the Numerical Study of Wave Processes in a Layered and Fractured Porous Media in a Two-Dimensional Formulation

Amir A. Gubaidullin (), Olga Yu. Boldyreva and Dina N. Dudko
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Amir A. Gubaidullin: Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, 74 Taymyrskaya Str., 625026 Tyumen, Russia
Olga Yu. Boldyreva: Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, 74 Taymyrskaya Str., 625026 Tyumen, Russia
Dina N. Dudko: Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, 74 Taymyrskaya Str., 625026 Tyumen, Russia

Mathematics, 2023, vol. 11, issue 1, 1-13

Abstract: A new approach to the numerical study of arbitrary waveform impulses in a layered porous and fractured-porous medium in a two-dimensional formulation has been developed. Layers can have different characteristics and contain fractures. A computer implementation of the mathematical model based on the finite-difference MacCormack method has been completed. A number of test calculations have been carried out confirming the reliability of the numerical solutions obtained. The possibility of using the proposed approach to solve problems of wave dynamics is shown.

Keywords: fractured porous medium; pores; fractures; MacCormack method; layers; waves (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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