Numerical investigation of a coupled moving boundary model of radial flow in low-permeable stress-sensitive reservoir with threshold pressure gradient

被引:8
|
作者
Liu, Wen-Chao [1 ]
Liu, Yue-Wu [1 ]
Niu, Cong-Cong [1 ]
Han, Guo-Feng [1 ]
Wan, Yi-Zhao [1 ]
机构
[1] Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
基金
中国博士后科学基金; 中国国家自然科学基金;
关键词
threshold pressure gradient; stress-sensitive effect; wellbore storage; skin effect; LONG POROUS-MEDIA; WELL TEST MODEL;
D O I
10.1088/1674-1056/25/2/024701
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The threshold pressure gradient and formation stress-sensitive effect as the two prominent physical phenomena in the development of a low-permeable reservoir are both considered here for building a new coupled moving boundary model of radial flow in porous medium. Moreover, the wellbore storage and skin effect are both incorporated into the inner boundary conditions in the model. It is known that the new coupled moving boundary model has strong nonlinearity. A coordinate transformation based fully implicit finite difference method is adopted to obtain its numerical solutions. The involved coordinate transformation can equivalently transform the dynamic flow region for the moving boundary model into a fixed region as a unit circle, which is very convenient for the model computation by the finite difference method on fixed spatial grids. By comparing the numerical solution obtained from other different numerical method in the existing literature, its validity can be verified. Eventually, the effects of permeability modulus, threshold pressure gradient, wellbore storage coefficient, and skin factor on the transient wellbore pressure, the derivative, and the formation pressure distribution are analyzed respectively.
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页数:9
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