Uncertainty analyses of seawater intrusion : numerical and stochastic approaches
Résumé
We consider immiscible saltwater-freshwater flow in heterogeneous coastal aquifers subject to seawater intrusion (sharp interface approach). We focus on the numerical modelling of the saltwater wedge, taking into account the variability and uncertainty due to highly heterogeneous random permeabilities. In this work, we focus on plane flow problems, with vertically integrated permeabilities, without hydrologic sink/source terms. We use a continuation method to obtain solutions for highly variable aquifers. The long term goal is to analyse the resulting uncertainty of the salt wedge penetration inland by various methods, such as spatial sampling; Monte-Carlo simulation; analytical perturbation methods. In this paper, we present statistical results (moments) obtained by spatial sampling of large single replicate numerical simulations based on the statistical homogeneity of the salt wedge in the seashore direction. The variables of interest are the random interface elevation (Zsalt(x,y)), and the penetration length of the salt wedge toe (Xsalt(x,y)).
Mots clés
Seawater intrusion
Saltwate
Coastal aquifers
Porous media
Random media
Uncertainty
Hydrogeology
Numerical modelling
Perturbation methods
Upscaling
Seawater intrusion saltwater coastal aquifers porous media random media uncertainty hydrogeology numerical modelling perturbation methods upscaling
Seawater intrusion
saltwater
coastal aquifers
porous media
random media
uncertainty
hydrogeology
numerical modelling
perturbation methods
upscaling
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