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- W4295997366 abstract "Our goal of this paper is to develop a new upscaling method for multicontinua flow problems in fractured porous media. We consider a system of equations that describes flow phenomena with multiple flow variables defined on both matrix and fractures. To construct our upscaled model, we will apply the nonlocal multicontinua (NLMC) upscaling technique. The upscaled coefficients are obtained by using some multiscale basis functions, which are solutions of local problems defined on oversampled regions. For each continuum within a target coarse element, we will solve a local problem defined on an oversampling region obtained by extending the target element by few coarse grid layers, with a set of constraints which enforce the local solution to have mean value one on the chosen continuum and zero mean otherwise. The resulting multiscale basis functions have been shown to have good approximation properties. To illustrate the idea of our approach, we will consider a dual continua background model consisting of discrete fractures in two space dimensions, that is, we consider a system with three continua. We will present several numerical examples, and they show that our method is able to capture the interaction between matrix continua and discrete fractures on the coarse grid efficiently." @default.
- W4295997366 created "2022-09-16" @default.
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- W4295997366 date "2018-07-15" @default.
- W4295997366 modified "2023-09-30" @default.
- W4295997366 title "Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media" @default.
- W4295997366 doi "https://doi.org/10.48550/arxiv.1807.05656" @default.
- W4295997366 hasPublicationYear "2018" @default.
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