«Automation and Informatization of the fuel and energy complex»

Mathematical models for planning gas fields development when operating wells with constant bottomhole pressure or with constant depression

UDC: 622.279.23
DOI: -

Authors:

¹ Gazprom VNIIGAZ Stavropol, Stavropol, Russia

Keywords: gas, well, permeability, porosity, gas reservoir depletion equation, inflow equation, reservoir pressure, bottomhole pressure, depression, flow rate, predicted flow rate

Annotation:

The problems of scientific design of gas and gas condensate fields’ development have been addressed since the 1990s. The development of mathematical models for optimal planning of gas field operation is a pressing issue. The authors of the article describe mathematical models for planning gas fields’ development when wells operate in a constant bottomhole pressure or constant depression mode. The efficiency improvement of a gas field development requires modeling the operation of each well in accordance with the operating mode established for it. Therefore, the main objective of the authors of the article is to derive the main equations for calculating the dynamic parameters characterizing the operation of the field as a whole based on the differential equation for gas deposit depletion. Namely, it includes assessment of the initial volume of gas reserves contained in the formation; reduction of average formation pressure during gas production from the field; assessment of the total volume of gas produced from the gas deposit; assessment of the rate of gas production decline.

Bibliography:

1. Shchelkachev V.N., Lapuk B.B. Podzemnaya gidravlika. – M.-Izhevsk: NITs "Regulyarnaya i khaoticheskaya dinamika", 2001. – 736 s.
2. Lapuk B.B. Teoreticheskie osnovy razrabotki mestorozhdeniy prirodnykh gazov. – M.-Izhevsk: In-t komp'yuter. issled., 2002. – 296 s.
3. Korotaev Yu.P., Zakirov S.N. Teoriya i proektirovanie razrabotki gazovykh i gazokondensatnykh mestorozhdeniy: ucheb. dlya vuzov. – M.: Nedra, 1981. – 294 s.
4. Margulov R.D., Khachaturov V.R., Fedoseev A.V. Sistemnyy analiz v perspektivnom planirovanii dobychi gaza. – M.: Nedra, 1992. – 287 s.
5. Solomatin A.N., Skiba A.K. Imitatsionnaya sistema dlya prognozirovaniya razvitiya gazodobyvayushchikh kompaniy. – M.: Vychisl. tsentr im. A.A. Dorodnitsyna RAN, 2003. – 28 s.
6. Khachaturov V.R. Matematicheskie metody regional'nogo programmirovaniya. – M.: Nauka, 1989. – 304 s.
7. Metodika pol'zovaniya sistemoy dolgosrochnogo planirovaniya dobychi gaza dlya gazodobyvayushchego regiona s primeneniem matematicheskikh metodov i EVM. – M.: VNIIEgazprom, 1987. – 148 s.
8. Solomatin A.N. Nekotorye optimizatsionnye zadachi strategicheskogo upravleniya kompaniyami. – M.: Vychisl. tsentr im. A.A. Dorodnitsyna RAN, 2006. – 38 s.
9. Kryukov V.A., Skiba A.K., Fedoseev A.V. Zadachi optimal'nogo upravleniya razrabotkoy gazokondensatnogo mestorozhdeniya. – M.: VTs AN SSSR, 1990. – 39 s.
10. Basniev K.S., Dmitriev N.M., Rozenberg G.D. Neftegazovaya gidromekhanika: ucheb. posobie dlya vuzov. – M.-Izhevsk: In-t komp'yuter. issled., 2005. – 544 s.
11. Garnaev A.Yu. Microsoft Excel 2002: razrabotka prilozheniy. – SPb.: BKhV-Peterburg, 2004. – 768 s.
12. Tolpaev V.A., Akhmedov K.S. Postroenie matematicheskikh modeley pritoka gaza k skvazhinam po nakoplennym geologo-promyslovym dannym // Neftepromyslovoe delo. – 2023. – № 3(651). – S. 31–39. – DOI: 10.33285/0207-2351-2023-3(651)-31-39
13. Tolpaev V.A., Akhmedov K.S. Dolgosrochnoe prognozirovanie raboty skvazhin gazokondensatnykh mestorozhdeniy metodami kubicheskoy splayn-approksimatsii // Neftepromyslovoe delo. – 2024. – № 9(669). – S. 10–22.