| Article |
|---|
| Article name |
Applied Filtration Model of Compressible Fluid to a Well in a Porous Medium |
| Authors |
Tolpaev V.A. Doctor of Physics and Ma-thematics, Professor, v.a.tolpaev@mail.ruBondarenko M.A. Junior Researcher, Postgraduate Student, TolpaevVA@scnipigaz.ruZaharov V.V. Candidate of Physics and Mathematics,Associate Professor,, vvzakharov@mail.ruKravtsov A.M. Candidate of Physics and Mathematics, alex_k@bk.ruPetrosyants M.T. Junior Research, Postgraduate Student,, musheg901@mail.ru |
| Bibliographic description |
Tolpayev V. A., Bondarenko M. A., Zaharov V. V., Kravtsov A. M., Petrosyants M. T. Applied Filtration Model of Compressible Fluid to a Well in a Porous Medium // Scholarly Notes of Transbaikal State University. 2019. Vol. 14, No. 3. PP. 12-23. DOI: 10.21209/2308- 8761-2019-14-3-12-23. |
| Section |
PROBLEMS OF MATHEMATICAL PHYSICS. ANALYTICAL METHODS |
| UDK |
622 |
| DOI |
10.21209/2308-8761-2019-14-3-12-23 |
| Article type |
|
| Annotation |
A filtration law with kinematic correction for compressible fluid filtered in a porous medium is proposed. In the approximation of a plane wave, asymptotic solutions of the filtration equations were obtained in a closed form according to the Darcy law and according to the amended law with a kinematic correction. The illustrations are presented with graphs of the distribution of pressure and density of the flow of elastic energy in a stream of compressible fluid. The calculated estimates of the size of the filtration area are given for a practical example.
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| Key words |
fluid filtration, filtration law, elastic energy density, flat radial flow |
| Article information |
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| References |
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3. Uizem Dzh. Linejnye i nelinejnye volny. M.: Mir, 1977. 624 s.
4. Basniev K. S., Kochina I. N., Maksimov V.M. Podzemnaya gidromekhanika. M.: Nedra, 1993. 416 s.
5. Zarembo L. K., Krasil’nikov V. A. Vvedenie v nelinejnuyu akustiku. M.: Nauka, 1981. 519 s.
6. Bondarenko M. A., Kravcov A. M., Prijmenko S. A. Obobshcheniya polinomov Bershtejna v nelinejnyh modelyah processov fil’tracii prirodnogo gaza // Vuzovskaya nauka - Severo-Kavkazskomu regionu: materialy XIV Nauchno-tekhnicheskoj konferencii. Stavropol’: SevKavGTU, 2010. S. 153. |
| Full article | Applied Filtration Model of Compressible Fluid to a Well in a Porous Medium |
