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American Journal of Applied Mathematics and Statistics. 2015, 3(2), 80-85
DOI: 10.12691/AJAMS-3-2-7
Original Research

The Similar Structure Method for Solving the Radial Seepage Model of Fractal Composite Reservoir with Double-porosity

Wen-wen Xia1, Shun-chu Li1, and Dong-dong Gui2

1Institute of Applied Mathematics of XiHua University, Chengdu, China

2Beijing Dongrunke Petroleum Technology Co.,Ltd., Beijing, China

Pub. Date: April 19, 2015
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Cite this paper

Wen-wen Xia, Shun-chu Li and Dong-dong Gui. The Similar Structure Method for Solving the Radial Seepage Model of Fractal Composite Reservoir with Double-porosity. American Journal of Applied Mathematics and Statistics. 2015; 3(2):80-85. doi: 10.12691/AJAMS-3-2-7

Abstract

This paper introduces the fractal theory into composite reservoir with double-porosity, and establishes the radial seepage model of fractal composite reservoir with double-porosity. Based on the similar structure theory of solutions for the boundary value problem of differential equation, the similar structure expression of solutions can be obtained in Laplace space. The similar structure theory of solution which avoids the complex calculation is used to solve the model, meanwhile, the similar structure expression of solution reflects the influence of different parameters for the bottom pressure.

Keywords

radial seepage, composite reservoir with double-porosity, laplace transformation, similarity kernel function, similar structure

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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