An analytical solution for estimating percolation rate by fitting temperature profiles in the Vadose Zone

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We present a simple analytical solution for one dimensional steady heat transfer with convection and conduction through a multi-layer system such as a vadose zone. We assume that each layer is homogeneous and has a constant thermal diffusivity. The mass/heat flow direction is perpendicular to the layers, and the mass flow rate is a constant. The analytical solution presented in this study also assumes constant known temperatures at the two boundaries of the system. Although the analytical solution gives the temperature as a function of a few parameters, we focus on the inverse application to estimate the percolation rate to ... continued below

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Shan, Chao & Bodvarsson, Gudmundur March 11, 2003.

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We present a simple analytical solution for one dimensional steady heat transfer with convection and conduction through a multi-layer system such as a vadose zone. We assume that each layer is homogeneous and has a constant thermal diffusivity. The mass/heat flow direction is perpendicular to the layers, and the mass flow rate is a constant. The analytical solution presented in this study also assumes constant known temperatures at the two boundaries of the system. Although the analytical solution gives the temperature as a function of a few parameters, we focus on the inverse application to estimate the percolation rate to high degree of accuracy (e.g., to mm/y). In some other cases the solution may also be helpful in characterizing potential lateral flow along layer divides.

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  • Journal Name: Journal of Containment Hydrology; Journal Volume: 68; Journal Issue: 1-2; Other Information: Journal Publication Date: January 2004

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  • Report No.: LBNL--52351
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 821650
  • Archival Resource Key: ark:/67531/metadc781425

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Office of Scientific & Technical Information Technical Reports

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  • March 11, 2003

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  • Dec. 3, 2015, 9:30 a.m.

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  • March 23, 2018, 4:03 p.m.

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Shan, Chao & Bodvarsson, Gudmundur. An analytical solution for estimating percolation rate by fitting temperature profiles in the Vadose Zone, article, March 11, 2003; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc781425/: accessed August 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.