Upscaled Lattice Boltzmann Method for Simulations of Flows in Heterogeneous Porous Media
KAUST DepartmentNumerical Porous Media SRI Center (NumPor)
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AbstractAn upscaled Lattice Boltzmann Method (LBM) for flow simulations in heterogeneous porous media at the Darcy scale is proposed in this paper. In the Darcy-scale simulations, the Shan-Chen force model is used to simplify the algorithm. The proposed upscaled LBM uses coarser grids to represent the average effects of the fine-grid simulations. In the upscaled LBM, each coarse grid represents a subdomain of the fine-grid discretization and the effective permeability with the reduced-order models is proposed as we coarsen the grid. The effective permeability is computed using solutions of local problems (e.g., by performing local LBM simulations on the fine grids using the original permeability distribution) and used on the coarse grids in the upscaled simulations. The upscaled LBM that can reduce the computational cost of existing LBM and transfer the information between different scales is implemented. The results of coarse-grid, reduced-order, simulations agree very well with averaged results obtained using a fine grid.
CitationLi J, Brown D (2017) Upscaled Lattice Boltzmann Method for Simulations of Flows in Heterogeneous Porous Media. Geofluids 2017: 1–12. Available: http://dx.doi.org/10.1155/2017/1740693.
SponsorsThe authors would like to acknowledge Victor Calo for his helpful discussion on the physical implications of the models. Also, they would like to thank Oleg Iliev for his helpful insights on the upscaling of porous media and validation of the computational results.
PublisherHindawi Publishing Corporation
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