The Flow Problem of Fluids Flow in a Fractal Reservoir with Double Porosity |
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Authors: | Deng-ke Tong Hong-qing Zhang |
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Affiliation: | 1. Department of Applied Mathematics, Petroleum University East of China, Dongying 257061, P R China 2. Institute of Mathematical Science, Dalian University of Technology,Dalian 116024, P R China |
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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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Keywords: | fractal double porous media seepage well test analysis |
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