Numerical study of non-uniqueness of the factors influencing relative permeability in heterogeneous porous media by lattice Boltzmann method

2013 ◽  
Vol 42 ◽  
pp. 23-32 ◽  
Author(s):  
Zhi Dou ◽  
Zhi-Fang Zhou
Keyword(s):  
Porous Media ◽  
Lattice Boltzmann Method ◽  
Relative Permeability ◽  
Lattice Boltzmann ◽  
Numerical Study ◽  
Heterogeneous Porous Media ◽  
Factors Influencing ◽  
Boltzmann Method

scholarly journals Upscaled Lattice Boltzmann Method for Simulations of Flows in Heterogeneous Porous Media

Geofluids ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Jun Li ◽  
Donald Brown
Keyword(s):  
Porous Media ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Effective Permeability ◽  
Heterogeneous Porous Media ◽  
Coarse Grid ◽  
Force Model ◽  
Fine Grid ◽  
Reduced Order ◽  
Boltzmann Method

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.

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