Analytical stochastic solutions of saltwater/freshwater interface in coastal aquifers

Abstract

Three analyitcal solutions of saltwater intrusion under uncertain hydrologic, hydrogeologic, and pumping conditions are presented. These solutions extends the existing deterministic, sharp interface solutions to stochastic ones. The randomness is represented in terms of statistical measures of mean, standard deviation and covariance. The analysis is based on perturbation using Taylor series expansion. Simulations based on probability distribution are conducted for verification.