Spectral approach to seawater intrusion in heterogeneous coastal aquifers

C.-M. Chang, H.-D. Yeh
2010 Hydrology and Earth System Sciences Discussions  
This work presents a two-dimensional horizontal plane model of seawater intrusion into a heterogeneous coastal unconfined aquifer under the spatially random recharge condition from a stochastic point of view. The stochastic response of the coastal unconfined aquifer is attributed to uncertainties related to the heterogeneity of aquifer properties and spatial variability of the recharge. Based on the sharp-interface assumption, analytical expressions for the variances of the seawater-freshwater
more » ... eawater-freshwater interface elevation and specific discharge in the longitudinal and transverse directions are developed using the perturbation approximation and spectral Fourier-Stieltjes nonstationary representations. We focus on the study of the impact of the heterogeneity of aquifer properties and recharge on these results. Mathematical formulation of the problem We consider the steady state flow of groundwater in a heterogeneous unconfined coastal aquifer under the spatially random recharge condition. A stochastic frame of reference is adopted to account for the spatial variability of the log Published by Copernicus Publications on behalf of the European Geosciences Union.
doi:10.5194/hessd-7-621-2010 fatcat:3m2tpho6wfdjrihu4prmvbugwi