It is established that the unilateral Hele-Shaw problem for flows in a channel when there is bulk anisotropy and Saffman-Taylor boundary conditions on the free boundary can be reduced to the isotropic case using a linear non-orthogonal coordinate transformation. Correspondingly, any exact solution o
Groundwater flow in anisotropic aquifers reduced to the isotropic case
โ Scribed by Valerio Faraoni
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 90 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0885-6087
- DOI
- 10.1002/hyp.1415
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โฆ Synopsis
Abstract
By applying the technique of conformal transformation of the metric, widely used in general relativity and cosmology, the analysis of groundwater flow in an anisotropic aquifer (in which the hydraulic conductivity is a tensor) is reduced to the case of an isotropic one. This reduction is achieved for a particular conformal factor of the transformation. Examples of application of this technique are given. Copyright ยฉ 2004 John Wiley & Sons, Ltd.
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