A Generalized Solution to Infiltration

Warrick, A. W.; Lomen, D. O.; Yates, Scott R.

doi:10.2136/sssaj1985.03615995004900010006x

Cited by 77 publications

(40 citation statements)

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“…The first example validates the proposed method with respect to the semianalytical solution derived by Warrick et al [37], where the onedimensional infiltration problem in homogeneous media was considered. As shown in Figure 5, a vertical fracture with a constant aperture of 1.11 mm is modeled with 1 m height, and an initial pressure head of −8 m is assigned to the whole fracture domain.…”

Section: One-dimensional Infiltration Problemssupporting

confidence: 56%

“…The calculated results agree well with the theoretical data, indicating that the proposed method on the basis of PVI formulations can reasonably represent the variably saturated flow through the fractures. Readers may refer to Warrick et al [37] for more details about the analytical solution for the one-dimensional infiltration problems in homogeneous media. (Figure 6(b)).…”

Section: One-dimensional Infiltration Problemsmentioning

confidence: 99%

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The Parabolic Variational Inequalities for Variably Saturated Water Flow in Heterogeneous Fracture Networks

et al. 2018

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Fractures are ubiquitous in geological formations and have a substantial influence on water seepage flow in unsaturated fractured rocks. While the matrix permeability is small enough to be ignored during the partially saturated flow process, water seepage in heterogeneous fracture systems may occur in a non-volume-average manner as distinguished from a macroscale continuum model. This paper presents a systematic numerical method which aims to provide a better understanding of the effect of fracture distribution on the water seepage behavior in such media. Based on the partial differential equation (PDE) formulations with a Signorini-type complementary condition on the variably saturated water flow in heterogeneous fracture networks, the equivalent parabolic variational inequality (PVI) formulations are proposed and the related numerical algorithm in the context of the finite element scheme is established. With the application to the continuum porous media, the results of the numerical simulation for onedimensional infiltration fracture are compared to the analytical solutions and good agreements are obtained. From the application to intricate fracture systems, it is found that water seepage flow can move rapidly along preferential pathways in a nonuniform fashion and the variably saturated seepage behavior is intimately related to the geometrical characteristics orientation of fractures.

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Section: One-dimensional Infiltration Problemssupporting

confidence: 56%

Section: One-dimensional Infiltration Problemsmentioning

confidence: 99%

The Parabolic Variational Inequalities for Variably Saturated Water Flow in Heterogeneous Fracture Networks

et al. 2018

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“…The time expansion approach was also applied by Warrick et al [1985] to develop a generalized solution of equation (7).…”

Section: Empirical Expressionsmentioning

confidence: 99%

Infiltration into soils: Conceptual approaches and solutions

Assouline

2013

Water Resources Research

222

115

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[1] Infiltration is a key process in aspects of hydrology, agricultural and civil engineering, irrigation design, and soil and water conservation. It is complex, depending on soil and rainfall properties and initial and boundary conditions within the flow domain. During the last century, a great deal of effort has been invested to understand the physics of infiltration and to develop quantitative predictors of infiltration dynamics. Jean-Yves Parlange and Wilfried Brutsaert have made seminal contributions, especially in the area of infiltration theory and related analytical solutions to the flow equations. This review retraces the landmark discoveries and the evolution of the conceptual approaches and the mathematical solutions applied to the problem of infiltration into porous media, highlighting the pivotal contributions of Parlange and Brutsaert. A historical retrospective of physical models of infiltration is followed by the presentation of mathematical methods leading to analytical solutions of the flow equations. This review then addresses the time compression approximation developed to estimate infiltration at the transition between preponding and postponding conditions. Finally, the effects of special conditions, such as the presence of air and heterogeneity in soil properties, on infiltration are considered.

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“…For this analysis, soil heterogeneity was described by Miller and Miller (1956) similar-media scaling theory. The VG conductivity function was assumed, Loveland sand was considered as a reference soil, and a set of similar soils were generated using the following relationship between VG parameters of each soil with those of the reference soil (Warrick et al, 1985):…”

Section: Estimation Of Effective Unsaturated Hydraulic Conductivity Omentioning

confidence: 99%

Column-scale unsaturated hydraulic conductivity estimates in coarse-textured homogeneous and layered soils derived under steady-state evaporation from a water table

Sadeghi

Tuller

Gohardoust

et al. 2014

Journal of Hydrology

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Effective hydraulic properties s u m m a r y Steady-state evaporation from a water table has been extensively studied for both homogeneous and layered porous media. For layered media it is of interest to find an equivalent homogeneous medium and define ''effective'' hydraulic properties. In this paper a new solution for steady-state evaporation from coarse-textured porous media is presented. Based on this solution, the evaporation rate represents a macroscopic (column-scale) measure of unsaturated hydraulic conductivity at the pressure head equal to the maximum extent of the hydraulically connected region above the water table. The presented approach offers an alternative method for determination of unsaturated hydraulic conductivity of homogeneous coarse-textured soils and a new solution for prediction of the effective unsaturated hydraulic conductivity of layered coarse-textured soils. The solution was evaluated with both experimental data and numerical simulations. Comparison with experimental data and numerical results for hypothetically layered soil profiles demonstrate the applicability of the proposed approach for coarse-textured soils.

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A Generalized Solution to Infiltration

Cited by 77 publications

References 0 publications

The Parabolic Variational Inequalities for Variably Saturated Water Flow in Heterogeneous Fracture Networks

The Parabolic Variational Inequalities for Variably Saturated Water Flow in Heterogeneous Fracture Networks

Infiltration into soils: Conceptual approaches and solutions

Column-scale unsaturated hydraulic conductivity estimates in coarse-textured homogeneous and layered soils derived under steady-state evaporation from a water table

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