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Algebraic multiscale method for flow in heterogeneous porous media with embedded discrete fractures (F-AMS). (arXiv:1705.05784v1 [math.NA])
来源于:arXiv
This paper introduces an Algebraic MultiScale method for simulation of flow
in heterogeneous porous media with embedded discrete Fractures (F-AMS). First,
multiscale coarse grids are independently constructed for both porous matrix
and fracture networks. Then, a map between coarse- and fine-scale is obtained
by algebraically computing basis functions with local support. In order to
extend the localization assumption to the fractured media, four types of basis
functions are investigated: (1) Decoupled-AMS, in which the two media are
completely decoupled, (2) Frac-AMS and (3) Rock-AMS, which take into account
only one-way transmissibilities, and (4) Coupled-AMS, in which the matrix and
fracture interpolators are fully coupled. In order to ensure scalability, the
F-AMS framework permits full flexibility in terms of the resolution of the
fracture coarse grids. Numerical results are presented for two- and
three-dimensional heterogeneous test cases. During these experiments, the
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