Abstract
The combination of the lattice Boltzmann Shan-Chen pseudo-potential method for multiphase fluids (Shan and Chen 1993 Phys. Rev. E 47 1815) and a grey or partial bounce back lattice Boltzmann algorithm for effective media (Walsh et al 2009 Comput. Geosci. 35 1186), is demonstrated for application to liquid-vapour fluid dynamics in porous media with porosity spanning a very wide range of length scales. Liquid / vapour distributions in cellular like structures with cell walls of reduced permeability are seen to follow expectation