Comparison of the lognormal and beta distribution functions to describe the uncertainty in permeability

The lognormal distribution and the beta distribution are both fit to the historic data provided by Jan Law in 1944 that was used to generalize the statement that the uncertainty in the permeability follows a lognormal distribution. The lognormal distribution and the beta distribution are also fit to an extensive permeability data set taken from regions within the Dakota Sandstone that have been shown to represent a single hydrostratigraphic unit. The results of this curve fitting exercise indicate that the beta distribution is a viable alternative to the lognormal distribution to characterize the uncertainty in permeability.