The Transient Elliptic Flow of Power-Law Fluid in Fractal Porous Media

SONG Fu-quan; LIU Ci-qun

Volume 23 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(8): 778-782

SONG Fu-quan, LIU Ci-qun. The Transient Elliptic Flow of Power-Law Fluid in Fractal Porous Media[J]. Applied Mathematics and Mechanics, 2002, 23(8): 778-782.

Citation:

SONG Fu-quan, LIU Ci-qun. The Transient Elliptic Flow of Power-Law Fluid in Fractal Porous Media[J]. Applied Mathematics and Mechanics, 2002, 23(8): 778-782.

Citation:

SONG Fu-quan, LIU Ci-qun. The Transient Elliptic Flow of Power-Law Fluid in Fractal Porous Media[J]. Applied Mathematics and Mechanics, 2002, 23(8): 778-782.

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The Transient Elliptic Flow of Power-Law Fluid in Fractal Porous Media

SONG Fu-quan¹,
LIU Ci-qun²

1.
Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China;
2.
Institute of Porous Flow and Fluid Mechanics, Academia Sinica, Langfang, Hebei 065007, P.R.China

Received Date: 2001-06-12
Rev Recd Date: 2002-03-22
Publish Date: 2002-08-15

Abstract

Abstract

The steady oil production and pressure distribution formulae of vertically fractured well for power-law non-Newtonian fluid were derived on the basis of the elliptic flow model in fractal reservoirs.The corresponding transient flow in fractal reservoirs was studied by numerical differentiation method:the influence of fractal index to transient pressure of vertically fractured well was analyzed. Finally the approximate analytical solution of transient flow was given by average mass conservation law.The study shows that using elliptic flow method to analyze the flow of vertically fractured well is a simple method.
- fractal media,
- vertically fractured well,
- transient flow,
- power-law fluid

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References(4)

References

[1]	刘慈群. 分形油藏非牛顿流体渗流压力动态[J]. 试采技术,1996,17(1):9-12.
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