New Green’s Function Method for Solving Underground Oil Seepage Problems

Author:

Li Linkai1,Kang Hao2,Gong Wangting3,Zhou Xinyu45,Fang Pengwei45,Wang Zaizhou2,Zhang Chunxiang2,Qu Yongjie6

Affiliation:

1. 1 Petroleum Engineering School , Southwest Petroleum University , Chengdu , China ;

2. 2 Polytechnic Institute, College of Engineering , Hebei Normal University , Shijiazhuang , China ;

3. 3 School of Environment and Architecture , University of Shanghai for Science and Technology , Shanghai , China

4. 4 State Key Laboratory of Enhanced Oil Recovery , CNPC, Beijing, 100083 , China ;

5. 5 Research Institute of Petroleum Exploration and Development , CNPC, Beijing 100083 , China ;

6. 6 Hebei Normal University , Shijiazhuang , China

Abstract

Abstract Compared with the variables separation method and integral-transform method, Green’s function method is much more applicable and thus of great practical significance. Based on the general steps of Green’s function method, a new method is originally raised to get Green’s function in oil and gas flow problems through underground formations. After that, the transient pressure solution is get for flow in a spherical reservoir by using this method. This case enlarged the application of Greenʼs method function, and this work can also be a good foundation for the solution of more and more complicated flow problems in oil and gas reservoirs.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Reference28 articles.

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3. Lu, J., Zhao, S., Han, Y., et al. (2013). Key issues in the great-leap-forward development of natural gas industry and the exploitation of giant gas fields in China. Natural Gas Industry, 33(5), 13-18.

4. Li, S., Guo, S., Chen, Y., et al. (2020). Advances and recommendations for multi-field characteristics and coupling seepage in natural gas hydrate development. Chinese Journal of Theoretical and Applied Mechanics, 52(3), 828-842.

5. Zhang, L., Liu, R., Leng, Y., et al. (2020). Seepage mechanism and development characteristics of high and ultra-high pressure carbonate gas reservoirs: A case study from the M Block of the Amu Darya Basin. Natural Gas Industry, 40(3), 92-98.

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