Invasion percolation was first proposed as a theoretical model for the flow of two immiscible, incompressible fluids through porous media. The model leads to both global and local predictions as to the final state of such a flow, which can be studied experimentally. Nondestructive measurement techniques which reveal detailed spatial information (without destroying the sample)such as tomography for three-dimensional systemstypically involve a resolution length that is large compared with the smallest relevant length scales of the medium. Monte Carlo methods are described which are designed to enable one to use computer simulations of invasion percolation in order to analyze the spatially smeared data which one is likely to encounter in such an experiment. Special attention is drawn to those experimental tests which would shed light on the validity of the model.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics