Percolation theory and its application to groundwater hydrology
- 1 April 1993
- journal article
- Published by American Geophysical Union (AGU) in Water Resources Research
- Vol. 29 (4) , 775-794
- https://doi.org/10.1029/92wr02707
Abstract
The theory of percolation, originally proposed over 30 years ago to describe flow phenomena in porous media, has undergone enormous development in recent years, primarily in the field of physics. The principal advantage of percolation theory is that it provides universal laws which determine the geometrical and physical properties of the system. This survey discusses developments and results in percolation theory to date, and identifies aspects relevant to problems in groundwater hydrology. The methods of percolation theory are discussed, previous applications of the theory to hydrological problems are reviewed, and future directions for study are suggested.This publication has 101 references indexed in Scilit:
- Percolation theory approach to transport phenomena in porous mediaTransport in Porous Media, 1992
- Percolation networks and fluid transport in the crustGeophysical Research Letters, 1991
- Solute transport in fracture channel and parallel plate modelsGeophysical Research Letters, 1991
- Fluid percolation in bond-site size-correlated three-dimensional networksTransport in Porous Media, 1990
- The influence of grid discretization on the percolation probability within discrete random fieldsJournal of Hydrology, 1990
- Diffusion in disordered mediaAdvances in Physics, 1987
- The microgeometry and transport properties of sedimentary rockAdvances in Physics, 1987
- Water penetration through fractured rocks: Test of a tridimensional percolation descriptionMathematical Geology, 1985
- Percolation and fracturePhysics of the Earth and Planetary Interiors, 1982
- Molecular Size Distribution in Three Dimensional Polymers. I. Gelation1Journal of the American Chemical Society, 1941