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The exact analytical solutions to the new model of reservoir filtration problem

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Abstract

The present study has obtained the new model of the reservoir filtration problem by taking into account the effect of wellbore storage and skin and by making use of the coupled equations of doubled porous media filtration and consequently has got, through various forms of limits, the exact analytical solutions of the three common reservoirs (fissure, homogeneous and the two-layered) pressure distribution under the conditions of three boundaries, i.e., infinite boundary, sealed finite boundary and the finite boundary at constant pressures.

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Authors and Affiliations

  1. Daqing Petroleum Institute, Anda, Helongjiang

    Li Xiao-ping & Zhao Zi-gang

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  1. Li Xiao-ping
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  2. Zhao Zi-gang
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Communicated by Chien Wei-zang

First received April 6, 1987.

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Xiao-ping, L., Zi-gang, Z. The exact analytical solutions to the new model of reservoir filtration problem. Appl Math Mech 14, 615–626 (1993). https://doi.org/10.1007/BF02455382

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  • DOI: https://doi.org/10.1007/BF02455382

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