| Article |
|---|
| Article name |
The Method of Average Weighted Potential in Practical Problems of Oil and Gas Industry |
| Authors |
Tolpaev V.A. Doctor of Physics and Ma-thematics, Professor, v.a.tolpaev@mail.ruKravtsov A.M. Candidate of Physics and Mathematics, alex_k@bk.ru |
| Bibliographic description |
|
| Section |
Scientific Research |
| UDK |
338.45:530 |
| DOI |
|
| Article type |
|
| Annotation |
TThe possibility of substitution for solving boundary value problems for the Laplace equation with mixed boundary conditions of the Dirichlet and Neumann boundary on some problems in which area along the border with Dirichlet and Neumann conditions are set with uncertain parameters. These uncertain parameters are chosen that the initially set Dirichlet conditions were carried out in the arithmetic mean approximation, which is the essence of the method of weighted average potentials (WAP). It was made the estimations of the accuracy of calculation of seepage flow method WAP. The possibility of substitution for solving boundary value problems for the Laplace equation with mixed boundary conditions of the Dirichlet and Neumann boundary on some problems in which area along the border with Dirichlet and Neumann conditions are set with uncertain parameters. These uncertain parameters are chosen that the initially set Dirichlet conditions were carried out in the arithmetic mean approximation, which is the essence of the method of weighted average potentials (WAP). It was made the estimations of the accuracy of calculation of seepage flow method WAP.
|
| Key words |
Darcy’s law, Laplace equation, boundary value problem, imperfect well, the pressure coefficient of dynamic viscosity, flow rate. |
| Article information |
|
| References |
1. Basniev К. S., Dmitriev N. М., Rozenberg G. D. Neftegazovaya gidromekhanika. Moskva-Izhevsk: Institut komp’yutcrnykh issledovanii, 2005. 544 s.
2. Tolpaev V. A., Petukhov A. A., Zakharov V. V. Matematicheskie modeli raboty skvazhinnykh fil’trov // Izvestiya vuzov. Severo-Kavkazskii region. Estestvennye nauki. 2004. № 3. S. 45-48.
3. Tolpaev V. A., Shakhnabatova L.B., Krymin L. G. Ob approksimatsii v elektrotekhnicheskikh raschetakh melkosloichatykh sred anizotropnymi // Izvestiya vuzov. Elektromekhanika. 1985. № 11. S. 23 32.
4. Evdokimova V. A., Kochina I. N. Sbornik zadach po podzemnoi gidravlike. M.: Al’yans, 2007. 168 s.
5. Iossel’ Yu. Ya., Kochanov E. S., Strunskii M. G. Raschet elektricheskoi emkosti. L.: Energoizdat. Leningr. otdelenie, 1981. 288 s.
6. Masket M. Techenie odnorodnykh zhidkostei v poristoi srede. M.; Izhevsk: Institut komp’yuternykh issledovanii, 2004. 640 s. |
| Full article | The Method of Average Weighted Potential in Practical Problems of Oil and Gas Industry |
