Ga. Fenton et Dv. Griffiths, STATISTICS OF BLOCK CONDUCTIVITY THROUGH A SIMPLE BOUNDED STOCHASTIC MEDIUM, Water resources research, 29(6), 1993, pp. 1825-1830
A Monte Carlo approach is employed to estimate the distribution of an
equivalent conductivity measure, the block conductivity, which charact
erizes the total flow rate through a two-dimensional bounded domain an
d which is itself a random variable. Chi-square goodness-of-fit tests
indicate that the lognormal distribution is an appropriate choice for
the block conductivity distribution. For square domains, the mean and
variance of the block conductivity are seen to be closely approximated
using the statistics of local averages of log conductivity.