The continuation method and other procedures

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Unformatted text preview: etration length of the salt wedge toe (Xsalt(x,y)). Key words Seawater intrusion; saltwater; coastal aquifers; porous media; random media; uncertainty; hydrogeology; numerical modelling; perturbation methods; upscaling. 1 INTRODUCTION Seawater intrusion is a well known problem occurring in coastal aquifers. This phenomenon can take the form of a seawater wedge extending inland below freshwater. Here we focus on the effects of permeability heterogeneity on the extent of the seawater wedge in a phreatic coastal aquifer. Seawater intrusion is analysed using 2D plane flow Dupuit-Boussinesq approximation, combined to a sharp interface approach (Ghyben-Herzberg). Aquifer heterogeneity is represented via a 2D random field permeability (vertically integrated). The simulations are conducted for mildly to highly heterogeneous random fields, with natural log-permeability standard deviation (σlnK) ranging from 1.0 to 4.0. This paper focuses on the need for numerical accuracy in the case of highly heterogeneous...
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