Unsaturated flow in heterogeneous soils with spatially distributed uncertain hydraulic parameters

Uncertain soil properties are often modeled as random fields. This renders the unsaturated flow equations stochastic. Determining statistics of pressure head statistics, (psi), around the ensemble mean pressure head, <(alpha)(alpha)being a random variable. We generalize this approach by allowing (alpha)(x). Using two-dimensional infiltration into a heterogeneous soil with uncertain hydraulic parameters as an example, we demonstrate that our predictions of the mean pressure head and its variance remain accurate for moderately variable (alpha).