Abstract
The effects of low- or zero-conductivity inclusions on flow through two- and three-dimensional domains are represented using an analogy to percolation theory. Mapping functions are derived from renormalization group models as a solution to the percolation analogy. These functions relate the extent to which a domain is obstructed to the probability that the domain is conductive and to the bulk conductivity of the domain. Stochastic methods are used to define a relation between the proportion of a domain which is isolated from flow and the proportion which is obstructed. A description of the influence of the scale of the obstructions, relative to that of the domain, is inherent in the formulation. -from Authors
Original language | English (US) |
---|---|
Pages (from-to) | 2085-2093 |
Number of pages | 9 |
Journal | Journal of Geophysical Research |
Volume | 97 |
Issue number | B2 |
DOIs | |
State | Published - 1992 |
All Science Journal Classification (ASJC) codes
- Geophysics
- Forestry
- Oceanography
- Aquatic Science
- Ecology
- Water Science and Technology
- Soil Science
- Geochemistry and Petrology
- Earth-Surface Processes
- Atmospheric Science
- Earth and Planetary Sciences (miscellaneous)
- Space and Planetary Science
- Palaeontology