Abstract
Abstract. 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 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.
Highlights
Coastal aquifers constitute an important source for freshwater supply, especially in arid and semi-arid zones (Bear, 1999)
Many coastal aquifers are nowadays facing the threat of seawater intrusion
The assessment of the extent of seawater intrusion is essential for the planning and management of groundwater resources in coastal aquifers
Summary
Coastal aquifers constitute an important source for freshwater supply, especially in arid and semi-arid zones (Bear, 1999). The assessment of the extent of seawater intrusion is essential for the planning and management of groundwater resources in coastal aquifers. The present study attempts to quantify the uncertainty of predication of the seawater-freshwater interface taking into account heterogeneity and parameter uncertainty. To the best of our knowledge, the closed-form expressions developed by the application of the nonstationary spectral approach for quantifying the uncertainty of predication of the seawater-freshwater interface with consideration of heterogeneity and parameter uncertainty have never before been presented. It is hoped that the present results serve as estimates of the uncertainty of prediction of saltwater intrusion in helping the planning and management of the coastal groundwater resources
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