Techniques for Making Finite Elements Competitve in Modeling Flow in Variably Saturated Porous Media

Huyakorn, Peter S.; Thomas, Stephen; Thompson, BM

doi:10.1029/wr020i008p01099

Cited by 184 publications

(101 citation statements)

References 11 publications

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“…Different weighing techniques were proposed to compute intermodal hydraulic conductivity to improve the accuracy of finite difference schemes [Haverkamp and Vauclin, 1979;Warrick, 1991;Zaidel and Russo, 1992;Miller et al, 1998;Brunone et al, 2003]. Alternatively, finite element models were developed, but they also suffered from similar performance problems [Cooley, 1983;Huyakorn et al, 1984;Allen and Murphy, 1986;Kool and van Genuchten, 1991;Simunek et al, 2008].…”

Section: Numerical Solutions Of the Infiltration Equationmentioning

confidence: 99%

Infiltration into soils: Conceptual approaches and solutions

Assouline

2013

Water Resources Research

197

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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Section: Numerical Solutions Of the Infiltration Equationmentioning

confidence: 99%

Infiltration into soils: Conceptual approaches and solutions

Assouline

2013

Water Resources Research

197

115

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“…The volumetric moisture content based equation (Warrick, Islas & Lomen 1991 (1) and (2) contains Darcy's velocity, q z , which is given by (the negative sign means downward flow) (Huyakorn et al 1984 …”

Section: Infiltration and Redistribution Systemmentioning

confidence: 99%

Simulation of Water and Contaminant Transport Through Vadose Zone - Redistribution System

Bunsri¹,

Sivakumar²,

Hagare³

2011

Hydraulic Conductivity - Issues, Determination and Applications

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“…The finite-element approximation technique applied to the flow equations for the fracture domain uses the 3D Galerkin finite-element method (Huyakorn and Pinder, 1983;Huyakorn and Thomas, 1984;Panday et al, 1993). The standard Galerkin approximation technique is used for the one-dimensional matrix flow.…”

Section: -1mentioning

confidence: 99%

Update to Assessment of Direct Disposal in Unsaturated Tuff of Spent Nuclear Fuel and High-Level Waste Owned by U.S. Department of Energy

Wheatley¹,

Rechard²

1998

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The overall purpose of this study is to provide information and ,@dance to the Office of Environmental Management of the U.S. Department of Energy (DOE) about the level of characterization necessary to dispose of DOE-owned spent nuclear fuel (SNF). The disposd option modeled was codisposal of DOE SNF with defense high-level waste (DHLN). A specific goal was to demonstrate the influence of DOE SNF, expected to be minor, in a predominately commercial repository using modeling conditions similar to those currently assumed by the Yucca Mountain Project (YMP). A performance assessment (PA) was chosen as the method of analysis. The performance metric for this analysis (referred to as the 1997 PA) was dose to an individual; the time period of interest was 100,000 yr. Results indicated that cumulative releases of "Tc and 237Np (primary contributors to human dose) fiom commercial SNF exceed those of DOE SNF both on a per MTHM and per package basis. Thus, if commercial SNF can meet regulatory performance criteria for dose to an individual, then the DOE SM; can also meet the criteria. This result is due in large part to lower burnup of the DOE SNF (less time for irradiation) and to the DOE SNF's small percentage of the total activity (1.5%) and mass (3.8%) of waste in the potential repository. Consistent-with the analyses performed for the YMP, the 1997 PA assumed all cladding as failed, which also contributed to the relatively poor performance of commercial SNF compared to DOE SNF.September 30, 1998 i .. PrefaceThis study, the 1997 performance assessment (1997 PA), evaluates whether spent nuclear fuel (SNF) owned by the Office of Environmental Management of the U. S. Department of Energy (DOE) performs noticeably better (or worse) than commercial SNF, and identifies important parameters that influence this performance after disposal. The latter results, in particular, are intended to help define appropriate requirements for waste characterization with regard to DOE-owned SNF being accepted for disposal. The study is part of a broader DOE program, the National Spent Nuclear Fuel Program, for developing a safe, cost-effective technical strategy for the interim management and ultimate disposition of the foreign and domestic spent nuclear fuel under the DOE'S jurisdiction. The DOE-owned SNF is currently stored at three primary sites (Idaho National Engineering and Environmental Laboratory [INEEL], the Hanford reservation, and the Savannah River plant) and several secondary DOE sites. The SNF originated in experimental, defense, and foreign reactors. Organization of ReportThis report is a detailed account of the analysis design and results. The introductory chapter describes the analysis goals and approach, highlights some of the analysis decisions made during the assessment, and sets the stage for the data and concepts that are presented in later chapters. Chapter 2 provides information on the performance measures and assumptions made with regard to modeling style.The remaining chapters cover the tasks of performance...

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Techniques for Making Finite Elements Competitve in Modeling Flow in Variably Saturated Porous Media

Cited by 184 publications

References 11 publications

Infiltration into soils: Conceptual approaches and solutions

Infiltration into soils: Conceptual approaches and solutions

Simulation of Water and Contaminant Transport Through Vadose Zone - Redistribution System

Update to Assessment of Direct Disposal in Unsaturated Tuff of Spent Nuclear Fuel and High-Level Waste Owned by U.S. Department of Energy

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