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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| Veröffentlicht in: | Lobachevskii journal of mathematics 2023-11, Vol.44 (11), p.4987-4993 |
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| container_title | Lobachevskii journal of mathematics |
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| creator | Gubaidullin, A. A. Boldyreva, O. Yu Dudko, D. N. |
| description | 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. |
| doi_str_mv | 10.1134/S1995080223110161 |
| format | Article |
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| identifier | ISSN: 1995-0802 |
| ispartof | Lobachevskii journal of mathematics, 2023-11, Vol.44 (11), p.4987-4993 |
| issn | 1995-0802 1818-9962 |
| language | eng |
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| source | SpringerNature Journals |
| 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 |
| title | Compression Pulse Propagation in Fractured Porous Medium |
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