An analytical solution for transient radial flow through unsaturated fractured porous media
نویسندگان
چکیده
منابع مشابه
An analytical solution for transient radial flow through unsaturated fractured porous media
[1] This paper presents analytical solutions for one-dimensional radial transient flow through a horizontal, unsaturated fractured rock formation. In these solutions, unsaturated flow through fractured media is described by a linearized Richards’ equation, while fracture-matrix interaction is handled using the dual-continuum concept. Although linearizing Richards’ equation requires a specially ...
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In this paper we use a double-porosity/double-permeability approach to study transient, saturated flow in heterogeneous, fractured porous media. The spatial variabilities in both the fracture and matrix continua motivate us to treat some of the fracture and matrix medium properties as stochastic processes. Hence flow through heterogeneous, fractured porous media is also amenable to stochastic a...
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In this study we determine constitutive relations (relations between saturation, hydraulic conductivity and pressure head) for unsaturated fractured rocks using a computational procedure that mimics the laboratory technique of measurement. Isotropic three-dimensional rock samples with random vertical and horizontal fractures are computationally constructed. Each fracture is conceptualized as a ...
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[1] This paper presents an approximate analytical solution for non-Darcy flow of a slightly compressible fluid through a fractured reservoir. The analytical solution is obtained using the traditional Warren-Root solution superposed on a dimensionless non-Darcy flow coefficient. The model formulation incorporates the Forchheimer equation into the Warren-Root model for describing non-Darcy flow t...
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Effects of soil heterogeneity have been the focus of both field and theoretical research for the past decade (e.g., Hills et al., 1991; Hopmans et al., 1988; Mantoglou and Gelhar, 1987; McCord et al., 1991, Russo, 1991; Ünlü et al., 1990; Wierenga et al., 1991; Yeh et al., 1985a,b; Yeh et al., 1986). Analytical models are essential tools for investigating the effect of heterogeneity on flow and...
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ژورنال
عنوان ژورنال: Water Resources Research
سال: 2005
ISSN: 0043-1397
DOI: 10.1029/2004wr003107