Large-scale averaging analysis of multiphase flow in fractured reservoirs |
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Authors: | Zhangxin Chen |
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Institution: | (1) Department of Mathematics and the Institute for Scientific Computation, Texas A&M University, College Station, 77843, TX, USA;(2) Present address: Department of Mathematics, Southern Methodist University, Box 156, 75275-0156 Dallas, TX, USA |
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Abstract: | The method of large-scale averaging is applied to derive and analyze a dual-porosity model of multiphase flow in naturally fractured reservoirs. The dual-porosity model contains the usual equations based on Darcy's law, and the coupling terms representing the fluid transfer between the matrix and the fractures. Both quasisteady and transient closure schemes are considered to obtain and analyze the fracture and matrix permeability tensors and the fluid transfer terms. The techniques developed here are not restricted to regular geometric fractures. Computational work aimed at showing the implications of the theory behind the derivation of the present dual-porosity model is also described. In particular, comparisons among the dual-porosity model, the single porosity model, and other dual-porosity models are presented through numerical experiments. |
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Keywords: | 35K60 35K65 76S05 76T05 |
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