In this chapter, a saltwater intrusion model in view to study the dynamics of the interface between the saltwater and the freshwater in a coastal aquifer is established. This dynamic is caused by an injection of saltwater and a freshwater pumping through a well located in a given position. From the flow model in each phase, we defined an appropriate hypothesis to obtain our global model based only on the height of the interface. To control the dynamic of the interface due to the freshwater pumping rate, we find an optimality system, which helps a better and long use of the freshwater pumping wells. An internal control is used. The optimal control obtained is not a constant but a function that depends on time and space.

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Mathematical Control of the Saltwater Intrusion in Coastal Aquifers

  • Mody Lo,
  • Daouda Sangare

摘要

In this chapter, a saltwater intrusion model in view to study the dynamics of the interface between the saltwater and the freshwater in a coastal aquifer is established. This dynamic is caused by an injection of saltwater and a freshwater pumping through a well located in a given position. From the flow model in each phase, we defined an appropriate hypothesis to obtain our global model based only on the height of the interface. To control the dynamic of the interface due to the freshwater pumping rate, we find an optimality system, which helps a better and long use of the freshwater pumping wells. An internal control is used. The optimal control obtained is not a constant but a function that depends on time and space.