Sharp interface, one-dimensional seawater intrusion into a confined aquifer with controlled pumping

Analytical solution

A. R. Kacimov, M. M. Sherif

Research output: Contribution to journalArticle

16 Citations (Scopus)

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 languageEnglish
Article numberW06501
JournalWater Resources Research
Volume42
Issue number6
DOIs
Publication statusPublished - Jun 2006

Fingerprint

Salt water intrusion
saltwater intrusion
confined aquifer
Aquifers
aquifers
pumping
seawater
hydraulic head
fluid mechanics
Hydraulics
Water
aquifer
Seawater
saline water
Catchments
Differential equations
conductivity
catchment
water

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 journalArticle

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