Abstract
A rigorous, closed form solution for the hydraulic head, sharp interface shape, and position in a confined aquifer bordered on one side by a static interface with intruded sea water and on another side by a constant head boundary is obtained in terms of the Dupuit-Forcheheimer model. Linear and nonlinear differential equations governing the hydraulic head variation with the horizontal coordinate contain a sink term, which is assumed to have a constant strength over the unintruded part of the catchment and linearly decreasing strength through the section overlying the interface. Solutions of the two equations are conjugated. For the length of the freshwater zone a quartic is obtained and solved. An explicit solvability condition is presented. The interface equation includes the commanding freshwater head, seawater level, density contrast between saline and fresh water, aquifer thickness and conductivity, and intensity of smeared losses, which model abstraction from the aquifer.
| Original language | English |
|---|---|
| Article number | W06501 |
| Journal | Water Resources Research |
| Volume | 42 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jun 2006 |
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ASJC Scopus subject areas
- Environmental Science(all)
- Environmental Chemistry
- Aquatic Science
- Water Science and Technology
Cite this
Sharp interface, one-dimensional seawater intrusion into a confined aquifer with controlled pumping : Analytical solution. / Kacimov, A. R.; Sherif, M. M.
In: Water Resources Research, Vol. 42, No. 6, W06501, 06.2006.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Sharp interface, one-dimensional seawater intrusion into a confined aquifer with controlled pumping
T2 - Analytical solution
AU - Kacimov, A. R.
AU - Sherif, M. M.
PY - 2006/6
Y1 - 2006/6
N2 - A rigorous, closed form solution for the hydraulic head, sharp interface shape, and position in a confined aquifer bordered on one side by a static interface with intruded sea water and on another side by a constant head boundary is obtained in terms of the Dupuit-Forcheheimer model. Linear and nonlinear differential equations governing the hydraulic head variation with the horizontal coordinate contain a sink term, which is assumed to have a constant strength over the unintruded part of the catchment and linearly decreasing strength through the section overlying the interface. Solutions of the two equations are conjugated. For the length of the freshwater zone a quartic is obtained and solved. An explicit solvability condition is presented. The interface equation includes the commanding freshwater head, seawater level, density contrast between saline and fresh water, aquifer thickness and conductivity, and intensity of smeared losses, which model abstraction from the aquifer.
AB - A rigorous, closed form solution for the hydraulic head, sharp interface shape, and position in a confined aquifer bordered on one side by a static interface with intruded sea water and on another side by a constant head boundary is obtained in terms of the Dupuit-Forcheheimer model. Linear and nonlinear differential equations governing the hydraulic head variation with the horizontal coordinate contain a sink term, which is assumed to have a constant strength over the unintruded part of the catchment and linearly decreasing strength through the section overlying the interface. Solutions of the two equations are conjugated. For the length of the freshwater zone a quartic is obtained and solved. An explicit solvability condition is presented. The interface equation includes the commanding freshwater head, seawater level, density contrast between saline and fresh water, aquifer thickness and conductivity, and intensity of smeared losses, which model abstraction from the aquifer.
UR - http://www.scopus.com/inward/record.url?scp=33746607213&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33746607213&partnerID=8YFLogxK
U2 - 10.1029/2005WR004551
DO - 10.1029/2005WR004551
M3 - Article
VL - 42
JO - Water Resources Research
JF - Water Resources Research
SN - 0043-1397
IS - 6
M1 - W06501
ER -