Conditioning Permeability Fields to Pressure Data

Abstract

Generating realizations of the permeability field drawn from a probability density function conditioned on inaccurate pressure or saturation data is difficult, even if the unconditional realizations are Gaussian random fields, because the problem is highly nonlinear. Inefficient methods that generate large numbers of rejected images, such as simulated annealing, must be ruled out as impractical because of the repeated need for reservoir flow simulation.