Lattice Boltzmann modelling permeability

The steady-state flow numerical experiment was primarily designed to evaluate the phasic relative permeability relations. The numerical experiment is devised within the two-phase lattice Boltzmann modeling framework for the reconstructed CL microstructure, generated using the stochastic reconstruction technique described earlier. Briefly, in the steady-state flow experiment two immiscible fluids are allowed to flow simultaneously until equilibrium is attained and the corresponding saturations, fluid flow rates and pressure gradients can be directly measured and correlated using Darcy s law, defined below. 

Nabovati A, Llewellin E W and Sousa ACM (2009), A general model for the permeability of fibrous porous media based on fluid flow simulations using the lattice Boltzmann method . Comp PartAiAppl Sci Manuf, 40(6-7), 860-869. 

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