The Filtration Consolidation of an Elastic Porous Medium with Discontinuous Initial Conditions
The problem of finding the initial conditions of consolidation for an elastic medium is solved in a general way; the Laplace equation is obtained for the water pressure. The problem of filtration consolidation for an infinite porous tube with circular symmetry is solved taking into account the found...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2016-06-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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| Online Access: | http://kpfu.ru/portal/docs/F1688164881/158_2_phys_mat_9.pdf |
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| _version_ | 1850180871801274368 |
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| author | F.M. Kadyrov A.V. Kosterin |
| author_facet | F.M. Kadyrov A.V. Kosterin |
| author_sort | F.M. Kadyrov |
| collection | DOAJ |
| description | The problem of finding the initial conditions of consolidation for an elastic medium is solved in a general way; the Laplace equation is obtained for the water pressure. The problem of filtration consolidation for an infinite porous tube with circular symmetry is solved taking into account the found initial conditions: a solution for the pressure is described by the diffusion equation. If there is no ``hole'' at the origin of coordinates, then the water pressure becomes infinitely large. |
| format | Article |
| id | doaj-art-2ae5cd092b564102a79614eb0ff4e098 |
| institution | OA Journals |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2016-06-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-2ae5cd092b564102a79614eb0ff4e0982025-08-20T02:18:01ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982016-06-011582262275The Filtration Consolidation of an Elastic Porous Medium with Discontinuous Initial ConditionsF.M. Kadyrov0A.V. Kosterin1Kazan Federal University, Kazan, 420008 RussiaKazan Federal University, Kazan, 420008 RussiaThe problem of finding the initial conditions of consolidation for an elastic medium is solved in a general way; the Laplace equation is obtained for the water pressure. The problem of filtration consolidation for an infinite porous tube with circular symmetry is solved taking into account the found initial conditions: a solution for the pressure is described by the diffusion equation. If there is no ``hole'' at the origin of coordinates, then the water pressure becomes infinitely large.http://kpfu.ru/portal/docs/F1688164881/158_2_phys_mat_9.pdftheory of filtration consolidationinitial conditionselastic porous mediumloadpressure |
| spellingShingle | F.M. Kadyrov A.V. Kosterin The Filtration Consolidation of an Elastic Porous Medium with Discontinuous Initial Conditions Учёные записки Казанского университета: Серия Физико-математические науки theory of filtration consolidation initial conditions elastic porous medium load pressure |
| title | The Filtration Consolidation of an Elastic Porous Medium with Discontinuous Initial Conditions |
| title_full | The Filtration Consolidation of an Elastic Porous Medium with Discontinuous Initial Conditions |
| title_fullStr | The Filtration Consolidation of an Elastic Porous Medium with Discontinuous Initial Conditions |
| title_full_unstemmed | The Filtration Consolidation of an Elastic Porous Medium with Discontinuous Initial Conditions |
| title_short | The Filtration Consolidation of an Elastic Porous Medium with Discontinuous Initial Conditions |
| title_sort | filtration consolidation of an elastic porous medium with discontinuous initial conditions |
| topic | theory of filtration consolidation initial conditions elastic porous medium load pressure |
| url | http://kpfu.ru/portal/docs/F1688164881/158_2_phys_mat_9.pdf |
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