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In this work, we consider an unstructured Generalized Multiscale Finite Element Method (GMsFEM) for solution of the filtration problem in a fractured media. The basic idea is that coarse grid blocks are formed as sets of fine grid triangular cells and, thus, can be of an almost arbitrary polygonal shape. In this approach, when constructing the fine grid, the faces of coarse blocks are not considered. Discrete fractured model is used to describe a flows in a fractured media.

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