Dynamic-spatial management of coastal aquifers

Iddo Kan*, Arie Leizarowitz, Yacov Tsur

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We analyze the management of a coastal aquifer under seawater intrusion (SWI) using distributed control methods. The aquifer's state is taken as the water head elevation (vis-à-vis sea level, say), which varies with time and in space since extraction, natural recharge and lateral water flows vary with time and in space. The water head, in turn, induces a temporalspatial SWI process, which changes the volume of fresh water in the aquifer. Under reasonable conditions we show that the optimal state converges to a steady-state process that is constant in time. We characterize the optimal steady-state process in terms of a standard control problem (in space) and offer a tractable algorithm to solve for it.

Original languageAmerican English
Pages (from-to)29-41
Number of pages13
JournalOptimal Control Applications and Methods
Volume31
Issue number1
DOIs
StatePublished - Jan 2010

Keywords

  • Distributed control
  • Groundwater
  • Optimal exploitation
  • Seawater intrusion

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