Efficient 3D inversions using the Richards equation
نویسندگان
چکیده
منابع مشابه
A numerical method for efficient 3D inversions using Richards equation
Fluid flow in the vadose zone is governed by Richards equation; it is parameterized by hydraulic conductivity, which is a nonlinear function of pressure head. Investigations in the vadose zone typically require characterizing distributed hydraulic properties. Saturation or pressure head data may include direct measurements made from boreholes. Increasingly, proxy measurements from hydrogeophysi...
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0309-1708/$ see front matter 2008 Elsevier Ltd. A doi:10.1016/j.advwatres.2008.11.009 * Corresponding author. E-mail address: [email protected] (P. Dost This paper concerns efficient uncertainty quantification techniques in inverse problems for Richards’ equation which use coarse-scale simulation models. We consider the problem of determining saturated hydraulic conductivity fields condi...
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The Richards equation is widely used as a model for the flow of water in unsaturated soils. For modelling one-dimensional flow in a homogeneous soil, this equation can be cast in the form of a specific nonlinear partial differential equation with a time derivative and one spatial derivative. This paper is a survey of recent progress in the pure mathematical analysis of this last equation. The e...
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We consider the Richards equation on a domain that is decomposed into nonoverlapping layers, i.e., the decomposition has no cross points. We assume that the saturation and permeability functions are space-independent on each subdomain. Kirchhoff transformation of each subdomain problem separately then leads to a set of semi-linear equations, which can each be solved efficiently using monotone m...
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ژورنال
عنوان ژورنال: Computers & Geosciences
سال: 2018
ISSN: 0098-3004
DOI: 10.1016/j.cageo.2018.04.006