T. Harter et Tcj. Yeh, CONDITIONAL STOCHASTIC-ANALYSIS OF SOLUTE TRANSPORT IN HETEROGENEOUS,VARIABLY SATURATED SOILS, Water resources research, 32(6), 1996, pp. 1597-1609
A method is developed for the conditional (Monte Carlo) simulation of
steady state flow and transient transport from point sources in variab
ly saturated porous media. It combines the geostatistical method, a li
nearized approximation of the soil water tension perturbation solution
, and a finite element numerical model. The method is used to investig
ate the usefulness of conditional simulation for predicting solute tra
nsport under a variety of sampling network designs applied to a number
of hypothetical soils. Saturated hydraulic conductivity data yield th
e largest reduction of conditional uncertainty in relatively wet soils
with mild heterogeneities. In highly heterogeneous soils or under dry
conditions, soil water tension data by themselves, taken at a samplin
g density of one to two correlation scales along the expected mean tra
vel path, can greatly reduce prediction uncertainty about solute conce
ntration. Parameter uncertainty about statistical properties of the in
dependent random variables becomes less important as the number of con
ditioning data increases. However, even with a very high number of sam
pling data, uncertainty of predicted concentration levels remains sign
ificant.