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摘要
In this paper, we discuss a model describing the global behavior of the two-phase incompressible flow in fractured porous media. The fractured medium is regarded as a porous medium consisting of two superimposed continua, a connected fracture system, which is assumed to be thin of order epsilon delta, where delta being the relative fracture thickness, and an epsilon-periodic system of disjoint matrix blocks. We derive the global behavior of the fractured medium by passing to the limit as epsilon -> 0, taking into account that the permeability of the blocks is proportional to (epsilon delta)(2), while the permeability of the fractures is of order one and obtain the corresponding global delta-model, i. e. the homogenized model with the coefficients depending on the small parameter delta. In the delta-model, we linearize the cell problem in the matrix block and then by letting delta -> 0, we obtain the macroscopic model which does not depend on epsilon and delta, and is fully homogenized in the sense that all the coefficients are calculated in terms of given data and do not depend on the additional coupling or cell problems.
- 出版日期2016
