A mini-review on the Fractal-Monte Carlo method and its applications in porous media

Porous media widely exist in nature such as soil, rocks, sandstones, oil/gas//water reservoirs, biological tissue and organics, etc., and in many sciences and engineering applications. Since microstructures of porous media are extremely complicated, this makes very difficult to predict the transport properties such as thermal conductivities and permeabilities of porous media by analytical solutions. Usually, numerical simulations such as control volume method, molecular dynamics and Lattice Boltzmann method etc. are often applied. However, results by numerical simulations are often correlated as empiric expressions, which usually contain one or more empiric constants. Please download the full abstract below