Tong Dengke, Chen Qinlei. Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1267-1274.
Citation: Tong Dengke, Chen Qinlei. Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1267-1274.

Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir

  • Received Date: 1998-04-20
  • Rev Recd Date: 1999-04-21
  • Publish Date: 1999-12-15
  • 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 fluids flow in fractal reservoirs.A method to scale the fractal properties of a fractal reservoir by a double parameters(df,ds)and to describe the generalized flow characteristics of visco-elastic fluid by four parameters(df,dsvp) are presented.Exact solutions and asymptotic solutions have been obtained by using Laplace-Weber and Laplace-orthogonal transforms with both infinite and finite reservoirs.The pressure transient behavior of non-Newtonian visco-elastic fluids 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 parameter is obtained.
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