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The Flow Problem of Fluids Flow in a Fractal Reservoir with Double Porosity

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Abstract

The effective radius of oil well is introduced in the inner boundary in the problem of fluids flow through fractal reservoir with double porosity, and thus a new model is established. Taking the wellbore storage and steady-state skin effect into consideration, the exact solutions of the pressure distribution of fluids flow in fractal reservoirs with double porosity are given for the cases of an infinite outer boundary, a finite closed outer boundary and a bounded domain with the constant pressure outer boundary conditions. The pressure behavior of fractal reservoir with double porosity is analyzed by using a numerical inversion of the Laplace transform solution. The pressure responses of changing various parameters are discussed.

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Authors and Affiliations

  1. Department of Applied Mathematics, Petroleum University (East of China), Dongying, 257061, P R China

    Deng-ke Tong

  2. Institute of Mathematical Science, Dalian University of Technology, Dalian, 116024, P R China

    Hong-qing Zhang

Authors
  1. Deng-ke Tong
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  2. Hong-qing Zhang
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Tong, Dk., Zhang, Hq. The Flow Problem of Fluids Flow in a Fractal Reservoir with Double Porosity. Applied Mathematics and Mechanics 22, 1118–1126 (2001). https://doi.org/10.1023/A:1016332913867

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  • DOI: https://doi.org/10.1023/A:1016332913867

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