Analytical Solution for Vapor Flow to a Horizontal Well in Unsaturated Soils

Ming Fa Tsou, Chiu Shia Fen, Hund-Der Yeh, Min Der Lin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We developed new solutions for soil vapor extraction from a finite horizontal well in unsaturated zones by Fourier and Laplace transforms. These solutions may be applied for problems with or without laterally impervious bounds and for covered, uncovered, or leaking ground surface conditions. However, the solution for the problems with laterally impervious bounds is expressed in series form. To attain good accuracy, the required number of terms for the series solution may depend on the ratio of width and depth of the problem domain. Further, with the dimensionless permeability, kD (the ratio of permeability for the leakage layer and that for the unsaturated zone) and dimensionless depth, fD (the ratio of the leakage layer depth and the unsaturated soil depth), we may find lower and upper limit values of the ratio of kD and fD for the problems representing covered and uncovered surface condition, respectively.

Original languageEnglish
Title of host publicationWorld Environmental and Water Resources Congress 2014
Subtitle of host publicationWater Without Borders - Proceedings of the 2014 World Environmental and Water Resources Congress
EditorsWayne C. Huber, Wayne C. Huber
PublisherAmerican Society of Civil Engineers (ASCE)
Pages302-311
Number of pages10
ISBN (Electronic)9780784413548
DOIs
StatePublished - 1 Jan 2014
EventWorld Environmental and Water Resources Congress 2014: Water Without Borders - Portland, United States
Duration: 1 Jun 20145 Jun 2014

Publication series

NameWorld Environmental and Water Resources Congress 2014: Water Without Borders - Proceedings of the 2014 World Environmental and Water Resources Congress

Conference

ConferenceWorld Environmental and Water Resources Congress 2014: Water Without Borders
CountryUnited States
CityPortland
Period1/06/145/06/14

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  • Cite this

    Tsou, M. F., Fen, C. S., Yeh, H-D., & Lin, M. D. (2014). Analytical Solution for Vapor Flow to a Horizontal Well in Unsaturated Soils. In W. C. Huber, & W. C. Huber (Eds.), World Environmental and Water Resources Congress 2014: Water Without Borders - Proceedings of the 2014 World Environmental and Water Resources Congress (pp. 302-311). (World Environmental and Water Resources Congress 2014: Water Without Borders - Proceedings of the 2014 World Environmental and Water Resources Congress). American Society of Civil Engineers (ASCE). https://doi.org/10.1061/9780784413548.033