Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (12): 1367-1376.

• 论文 • 上一篇    下一篇

GENERALIZED FLOW ANALYSIS OF NON-NEWTONIAN VISCO-ELASTIC FLUID FLOW THROUGH FRACTAL RESERVOIR

同登科1, 陈钦雷2   

  1. 1. Petroleum University(East of China), Dongying 257062, P. R. China;
    2. Petroleum University(Beijing), Beijing 102249, P. R. China
  • 收稿日期:1998-04-20 修回日期:1999-04-21 出版日期:1999-12-18 发布日期:1999-12-18

GENERALIZED FLOW ANALYSIS OF NON-NEWTONIAN VISCO-ELASTIC FLUID FLOW THROUGH FRACTAL RESERVOIR

Tong Dengke1, Chen Qinlei2   

  1. 1. Petroleum University(East of China), Dongying 257062, P. R. China;
    2. Petroleum University(Beijing), Beijing 102249, P. R. China
  • Received:1998-04-20 Revised:1999-04-21 Online:1999-12-18 Published:1999-12-18

摘要: In this paper,fractal geometry theory is used to combine with the seepage flow mechanics to establish the relaxation models of non-Newtonian visco- elastic fluid flow in fractal reservoirs.A method to scale the fractal properties of a fractal reservoir by the double parameters (df,ds) and to describe the generalized flow characteristics of visco-elastic fluid by four parameters (df,dstp) are presented.Exact solutions and asymptotic solutions have been obtained by usin g th e Laplace-Weber and Laplace-orthogonal transforms with both infinite and finite reservoirs.The pressure transient behavior of non-Newtonian visco-elastic fluid flow through a fractal reservoir are studied by using the numerical Laplace transform inversion and asymptotic solutions.The law of pressure change for various fractal parameters is obtained.

Abstract: In this paper,fractal geometry theory is used to combine with the seepage flow mechanics to establish the relaxation models of non-Newtonian visco- elastic fluid flow in fractal reservoirs.A method to scale the fractal properties of a fractal reservoir by the double parameters (df,ds) and to describe the generalized flow characteristics of visco-elastic fluid by four parameters (df,dstp) are presented.Exact solutions and asymptotic solutions have been obtained by usin g th e Laplace-Weber and Laplace-orthogonal transforms with both infinite and finite reservoirs.The pressure transient behavior of non-Newtonian visco-elastic fluid flow through a fractal reservoir are studied by using the numerical Laplace transform inversion and asymptotic solutions.The law of pressure change for various fractal parameters is obtained.

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