A framework is provided for scaling and scale issues in hydrology. The first section gives
some basic definitions. This is important as researchers do not seem to have agreed on the …

Parameter identification is an essential step in constructing a groundwater model. The
process of recognizing model parameter values by conditioning on observed data of the …

We consider the numerical solution of elliptic partial differential equations with random
coefficients. Such problems arise, for example, in uncertainty quantification for groundwater …

Engineers and applied geophysicists routinely encounter interpolation and estimation
problems when analysing data from field observations. Introduction to Geostatistics presents …

In the mid-seventies, a new area of research has emerged in subsurface hydrology, namely
sto chastic modeling of flow and transport. This development has been motivated by the …

The spatial variability of hydraulic conductivity at the site of a long‐term tracer test performed
in the Borden aquifer was examined in great detail by conducting permeability …

This article is concerned with predicting for Gaussian random fields in a way that
appropriately deals with uncertainty in the covariance function. To this end, we analyze the …

Stochastic Subsurface Hydrogeology is the study of subsurface, geological heterogeneity,
and its effects on flow and transport process, using probabilistic and geostatistical concepts …

Research on stochastic analysis of subsurface flow has developed rapidly in the last
decade, but applications of this approach have been very limited. The purpose of this paper …

Numerical models that solve governing equations for subsurface fluid flow and transport are
commonly applied to analyze quantitatively the effects of heterogeneity. These models …