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Research on the numerical simulation of triple-porosity singular permeability model |
Received:June 02, 2007 |
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DOI:10.7511/jslx20094009 |
KeyWord:triple-porosity singular permeability nonlinearity quadratic gradient term finite difference numerical simulation. |
Author | Institution |
同登科 |
中国石油大学 华东,东营 |
薛莉莉 |
中国石油大学 华东,东营 |
廉培庆 |
中国石油大学 华东,东营 |
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Abstract: |
In this paper, all terms in nonlinear partial differential equation are retained and the quadratic-gradient term is not neglected. Triple-porosity singular permeability model consisting of matrix, fractures and vugs is built. The difference schemes of triple porosity model are obtained by finite difference method in a constant rate production in an infinitely large system, finite closed system and constant-pressure production in an finite closed system. The numerical solutions of equations are obtained by Broyden method which is used to solve nonlinear partial differential equations. This paper discusses the changing rule of pressure when triple porosity parameters change, and the paper also considered the effects of skin and wellbore storage on the changing pressure curves. The plots of typical pressure curves are given. |
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