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

Read more

Summary

Introduction

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

Mathematical formulation of the problem
Stochastic equations
Spectral solutions of the perturbation equations
Variance of interface elevation
Variance of specific discharge
Closed-form solutions
First two moments of interface fluctuations
Conclusions

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.