R. Allan Freeze

TL;DR: In this paper, the effects of stochastic parameter distributions on predicted hydraulic heads are analyzed with the aid of a set of Monte Carlo solutions to the pertinent boundary value problems, and the results show that the standard deviations of the input hydrogeologic parameters, particularly σy and σc, are important index properties; changes in their values lead to different responses for even when the means μy, μc, and μn are fixed.

TL;DR: In this article, the authors investigated the steady-state flow in regional groundwater basins using digital computer solutions of appropriately designed mathematical models and provided a theoretical basis for the following properties of regional flow systems: (1) groundwater discharge will tend to be concentrated in major valleys; (2) recharge areas are invariably larger than discharge areas; (3) in hummocky terrain, numerous sub-basins are superposed on the regional system; (4) buried aquifers tend to concentrate flow toward the principal discharge area, and need not outcrop to produce artesian

TL;DR: In this article, a three-dimensional finite difference model was developed for the treatment of saturated-unsaturated transient flow in small nonhomogeneous, anisotropic geologic basins.

TL;DR: In this article, a stochastic analysis of two-dimensional steady state groundwater flow in a bounded domain is carried out by using Monte Carlo techniques, where the flow domain is divided into a set of square blocks and a nearest-neighbor process model is used to generate a multilateral spatial dependence between hydraulic conductivity values in the block system both statistically isotropic and statistically anisotropic autocorrelation functions are considered.

TL;DR: In this paper, runoff simulation for rainfall events on hypothetical upstream source areas, carried out with a deterministic mathematical model that couples channel flow and saturated-unsaturated subsurface flow, provides theoretical support for the runoff-generating mechanisms observed in the field by Ragan and Dunne.