Analytical stochastic solutions of saltwater/freshwater interface in coastal aquifers

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