| 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 |
|
| DOI |
10.21209/2308-8761-2019-14-3-12-23 |
| UDK |
622 |
| 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.
|
| Key words |
fluid filtration, filtration law, elastic energy density, flat radial flow |
| Article information |
|
| References |
1. Barenblatt G. I., Entov V. M., Ryzhik V. M. Dvizhenie zhidkostej i gazov v prirodnyh plastah. M.: Nedra, 1984. 211 s.
2. Porshakov B. P., Romanov B. A. Osnovy termodinamiki i teplotekhniki. M.: Nedra, 1988. 300 s.
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 |
