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A semi-analytical model for the simulation of solute transport in a network of fractures having random orientations

1999; Wiley; Volume: 23; Issue: 4 Linguagem: Inglês

10.1002/(sici)1096-9853(19990410)23

1096-9853

Kent Novakowski, J. D. Bogan,

Soil and Unsaturated Flow

International Journal for Numerical and Analytical Methods in GeomechanicsVolume 23, Issue 4 p. 317-333 Research Article A semi-analytical model for the simulation of solute transport in a network of fractures having random orientations K. S. Novakowski, Corresponding Author K. S. Novakowski National Water Research Institute, 867 Lakeshore Road, P.O. Box 5050, Burlington, Ontario, Canada L7R 4ABNational Water Research Institute, 867 Lakeshore Road, P.O. Box 5050, Burlington, Ontario, Canada L7R 4ABSearch for more papers by this authorJ. D. Bogan, J. D. Bogan National Water Research Institute, 867 Lakeshore Road, P.O. Box 5050, Burlington, Ontario, Canada L7R 4AB Formerly with the Civil Engineering Department, University of New BrunswickSearch for more papers by this author K. S. Novakowski, Corresponding Author K. S. Novakowski National Water Research Institute, 867 Lakeshore Road, P.O. Box 5050, Burlington, Ontario, Canada L7R 4ABNational Water Research Institute, 867 Lakeshore Road, P.O. Box 5050, Burlington, Ontario, Canada L7R 4ABSearch for more papers by this authorJ. D. Bogan, J. D. Bogan National Water Research Institute, 867 Lakeshore Road, P.O. Box 5050, Burlington, Ontario, Canada L7R 4AB Formerly with the Civil Engineering Department, University of New BrunswickSearch for more papers by this author First published: 09 April 1999 https://doi.org/10.1002/(SICI)1096-9853(19990410)23:4 3.0.CO;2-HCitations: 10 AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract A semi-analytical model is developed which accounts for solute transport through a multi-dimensional network of fractures having random orientations and sparse distribution. Transport processes including hydrodynamic dispersion, matrix diffusion, retardation, decay and solute transfer at fracture intersections, are considered. The model is derived by application of the Laplace transform to the governing transport equation for each fracture element. The resulting ordinary differential equations are linked using robust descriptions of mass conservation at the fracture intersections. Solute concentrations are determined by numerically inverting the transformed equations in a sequential fashion. The model is verified using a formal mass balance and through comparison to existing solutions for solute transport in fractured media. To illustrate the use of the model, solute transport in a hypothetical network domain was simulated based on fracture conditions measured at a real field setting in a granitic rock. Copyright © 1999 John Wiley & Sons, Ltd. Citing Literature Volume23, Issue410 April 1999Pages 317-333 RelatedInformation