Scaling of Lognormally Distributed Permeability

Effective permeability or large scale limit of lognormaily distributed permeability is calculated in this paper for different kinds of anisotropy. The effect of auisotropy both in the permeability tensor as weli as in spatial correlation structure seems to be important. A method is used to estimate the upscaled permeabilities based on Darcy’s law, and most of the results are calculated in two dimensions. The results show that a rule of thumb may be constructed for calculating the large scale limit or effective permeability without having to simulate the upscaled permeability.