Permeability of Orthotropic Porous Mediums
- 1 August 1968
- journal article
- Published by American Geophysical Union (AGU) in Water Resources Research
- Vol. 4 (4) , 801-808
- https://doi.org/10.1029/wr004i004p00801
Abstract
The mathematical definition of permeability for orthotropic porous mediums is developed from the assumption that orthotropic porous mediums (i.e., porous mediums that possess three mutually perpendicular planes of structural symmetry) obey Darcy's Law in the three directions normal to the planes of symmetry. This assumption is shown to lead to the conclusion that permeability obeys the transformation law definitive of second‐order tensors; and that consequently a permeability quadric, the Mohr circle representation of transformation of permeability components and permeability invariants, can be defined.Keywords
This publication has 6 references indexed in Scilit:
- Theoretical analysis of regional groundwater flow: 2. Effect of water‐table configuration and subsurface permeability variationWater Resources Research, 1967
- DARCY'S COEFFICIENT OF PERMEABILITY AS SYMMETRIC TENSOR OF SECOND RANKInternational Association of Scientific Hydrology. Bulletin, 1965
- Variation of the permeability tensor ellipsoid in homogeneous anisotropic soilsWater Resources Research, 1965
- Extending Darcy's concept of ground-water motionProfessional Paper, 1964
- The Physics of Flow Through Porous Media (3rd Edition)Published by University of Toronto Press Inc. (UTPress) ,1957
- Vector and Tensor AnalysisAmerican Journal of Physics, 1950