Upscaled Lattice Boltzmann Method for simulations of flows in heterogeneous porous media

Jun, Li and Brown, D.L. (2017) Upscaled Lattice Boltzmann Method for simulations of flows in heterogeneous porous media. Geofluids, 2017 . 1740693/1-1740693/12. ISSN 1468-8123

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Abstract

An 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.

Item Type: Article
Keywords: Lattice Boltzmann, Upscaling
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1155/2017/1740693
Depositing User: Brown, Donald
Date Deposited: 23 Mar 2017 09:04
Last Modified: 13 Oct 2017 01:25
URI: http://eprints.nottingham.ac.uk/id/eprint/41461

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