Compression Pulse Propagation in Fractured Porous Medium

The process of propagation of compression pulses in a fractured porous medium has been studied. The study was carried out within the framework of a three-velocity, three-stress mathematical model. The problems are considered in one-dimensional and two-dimensional formulations. The computer implement...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2023-11, Vol.44 (11), p.4987-4993
Main Authors: Gubaidullin, A. A., Boldyreva, O. Yu, Dudko, D. N.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Fractures
Geometry
Mass transfer
Mathematical Logic and Foundations
Mathematical models
Mathematics
Mathematics and Statistics
Porous media
Probability Theory and Stochastic Processes
Pulse propagation
Wave propagation
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Summary:The process of propagation of compression pulses in a fractured porous medium has been studied. The study was carried out within the framework of a three-velocity, three-stress mathematical model. The problems are considered in one-dimensional and two-dimensional formulations. The computer implementation of the model is carried out using the methodology previously developed by the authors. The features of this wave process are revealed. With a low intensity of mass transfer between the systems of pores and fractures, there is a mismatch of pressures in the pores and fractures during wave propagation, and with an increase in intensity, a rapid pressure equalization occurs. Comparison of solutions in one-dimensional and two-dimensional cases showed that their difference is due to the geometry of the process.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223110161