Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (8): 875-880.

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THE TRANSIENT ELLIPTIC FLOW OF POWER-LAW FLUID IN FRACTAL POROUS MEDIA

宋付权1, 刘慈群2   

  1. 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
  • 收稿日期:2001-06-12 修回日期:2002-03-22 出版日期:2002-08-18 发布日期:2002-08-18

THE TRANSIENT ELLIPTIC FLOW OF POWER-LAW FLUID IN FRACTAL POROUS MEDIA

SONG Fu-quan1, LIU Ci-qun 2   

  1. 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:2001-06-12 Revised:2002-03-22 Online:2002-08-18 Published:2002-08-18

摘要: 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.

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.

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