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

Banks, D. (2012) From Fourier to Darcy, from Carslaw to Theis: the analogies between the subsurface behaviour of water and heat. Acqua Sotterranee, 1(3), pp. 9-19. (doi: 10.7343/AS-013-12-0025)

Abstract

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Banks, Mr David
• Authors: Banks, D.
• Subjects: Q Science > QE Geology; T Technology > TD Environmental technology. Sanitary engineering
• College/School: College of Science and Engineering > School of Engineering > Systems Power and Energy
• Journal Name: Acqua Sotterranee
• ISSN: 1828-454X