NDLI: Extension of the Henry semi-analytical solution for saltwater intrusion in stratified domains

Content Provider	Springer Nature Link
Author	Younes, Anis Fahs, Marwan
Copyright Year	2015
Abstract	The Henry semi-analytical solution is developed for stratified aquifers with exponential and Gaussian permeability–depth relationships and small dispersion. The semi-analytical solution is sought by expanding the stream function and the concentration in an infinite Fourier series truncated at given orders. Due to the heterogeneity, the semi-analytical solution contains additional terms and quickly becomes impractical because of the high truncation orders required to yield stable results. An appropriate evaluation of the most expensive term, involving fairly complex summations, is proposed to render the computation of the semi-analytical solution affordable. Three configurations with the same transmissivity as that for the homogeneous Henry problem are investigated. The first configuration considers an exponential decay of the permeability (k) with depth. The second and third configurations consider an exponential increase and a Gaussian high-low-high distribution of k with depth, respectively. The three configurations are also investigated numerically using an accurate numerical code based on the method of lines and advanced spatial discretization schemes. An excellent agreement is obtained between the semi-analytical and the numerical solutions for all test cases. The results show that the amount of saltwater intrusion is strongly dependent on the heterogeneity. Further, the heterogeneous Henry problem is found to be more suitable for benchmarking density-driven numerical codes because the numerical solution is more sensitive to the grid size than for the homogeneous problem.
Starting Page	1207
Ending Page	1217
Page Count	11
File Format	PDF
ISSN	14200597
Journal	Computational Geosciences
Volume Number	19
Issue Number	6
e-ISSN	15731499
Language	English
Publisher	Springer International Publishing
Publisher Date	2015-10-07
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Semi-analytical solution Seawater intrusion Henry problem Stratified porous media Fourier series Earth Sciences Geotechnical Engineering & Applied Earth Sciences Hydrogeology Mathematical Modeling and Industrial Mathematics Soil Science & Conservation
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

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