From Fourier to Darcy, from Carslaw to Theis: the analogies between the subsurface behaviour of water and heat


Submitted: 12 October 2012
Accepted: 14 March 2016
Published: 30 December 2012
Abstract Views: 1196
PDF: 1216
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The analogy between the behaviour of groundwater in an aquifer and the conductive behaviour of heat in an aestifer is almost perfect. The development of groundwater flow theory has consistently drawn upon thermal analogues to find mathematical solutions: Darcy's Law is analogous to Fourier's. Charles Theis drew on Horatio Scott Carslaw's heat conduction equations to develop his analysis of radial groundwater flow. Ogata and Banks refer to Carslaw and Jaeger's work on heat diffusion to solve the longitudinal dispersion of solutes in flowing groundwater. The hydrogeologist is thus admirably equipped with the necessary conceptual models, mathematical tools and computer codes to become a practising thermogeologist


Banks, D. (2012). From Fourier to Darcy, from Carslaw to Theis: the analogies between the subsurface behaviour of water and heat. Acque Sotterranee - Italian Journal of Groundwater, 1(3). https://doi.org/10.7343/as-013-12-0025

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