Upscaling of Permeability Based on Wavelet Representation
Magne S. Espedal, Ove Sævareid · 1994
The purpose of this paper is to suggest a framework for analysis of multi-scale permeability distributions. We consider the process of de termining effective representation of the permeability at different length scales. The starting point is the discretizatioii of the pressure-velocity equations using a modified mixed finite element formulation. The discrete pressure and velocity are then subjected to a multiresolution analysis based on the well-known Haar system. The relationship to Additive Schwarz Domain decomposition method is pointed out. Numerical ex periments are an integrated part of the investigations.