Article
New Green’s Function Method for Solving Underground Oil Seepage Problems
Authors
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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.
Keywords
Point source function, transient flow, Dirac function, Green’s function, spherical flow, 46N40
Citation
Li, L., Kang, H., Gong, W., Zhou, X., Fang, P., Wang, Z., Zhang, C., & Qu, Y. (2023). New green’s function method for solving underground oil seepage problems. Applied Mathematics and Nonlinear Sciences, 8(1), 2241–2250. https://doi.org/10.2478/amns.2023.1.00408
L. Li, H. Kang, W. Gong, X. Zhou, P. Fang, Z. Wang, C. Zhang and Y. Qu, “New green’s function method for solving underground oil seepage problems,” Applied Mathematics and Nonlinear Sciences, vol. 8, no. 1, pp. 2241–2250, 2023, doi: 10.2478/amns.2023.1.00408.
Li L, Kang H, Gong W, Zhou X, Fang P, Wang Z, Zhang C, Qu Y. New green’s function method for solving underground oil seepage problems. Applied Mathematics and Nonlinear Sciences. 2023;8(1):2241–2250. doi:10.2478/amns.2023.1.00408.
Li, L., Kang, H., Gong, W., Zhou, X., Fang, P., Wang, Z., Zhang, C. and Qu, Y. (2023), ‘New green’s function method for solving underground oil seepage problems’, Applied Mathematics and Nonlinear Sciences, 8(1), pp. 2241–2250. Available at: https://doi.org/10.2478/amns.2023.1.00408.
Li, Linkai, et al. “New Green’s Function Method for Solving Underground Oil Seepage Problems.” Applied Mathematics and Nonlinear Sciences, vol. 8, no. 1, 2023, pp. 2241–2250. https://doi.org/10.2478/amns.2023.1.00408.
Li, Linkai, Hao Kang, Wangting Gong, Xinyu Zhou, Pengwei Fang, Zaizhou Wang, Chunxiang Zhang, and Yongjie Qu. “New Green’s Function Method for Solving Underground Oil Seepage Problems.” Applied Mathematics and Nonlinear Sciences 8, no. 1 (2023): 2241–2250. https://doi.org/10.2478/amns.2023.1.00408.
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Published by: Engineering Journals
