Premium
Approximation of Salt‐Water Interface Fluctuation in an Unconfined Coastal Aquifer
Author(s) -
Gupta A. Das
Publication year - 1985
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.1985.tb01958.x
Subject(s) - interface (matter) , laplace transform , boundary (topology) , upstream (networking) , boundary value problem , aquifer , mechanics , flow (mathematics) , lag , series (stratigraphy) , geology , mathematical analysis , mathematics , groundwater , geotechnical engineering , computer science , physics , bubble , computer network , paleontology , maximum bubble pressure method
A combination of an analytical model for the free‐surface fluctuation and a numerical model for the interface fluctuation has been formulated for transient characteristics of salt‐water interface considering four different boundary conditions in the form of exciting functions imposed on the upstream source of fresh‐water supply. The one‐dimensional analytical model has been solved using Laplace transform, and the theory of residues and the results are expressed in terms of an infinite series and an error function. The numerical model gives the fluctuation of the interface for the known free‐surface profile; the interface location at the upstream boundary is specified on the condition that any fluctuation in the water table causes a net flow component in the vertical direction at that section. In comparison with laboratory tests, the method appears to be a reasonable approximation of the fluctuating phenomena for practical applications, except for consideration of time lag for interface response which needs further investigation.