Progress in unsaturated flow and transport modeling

This paper reviews recent progress in modeling water flow and solute transport in the unsaturated (vadose) zone. Much progress has been attained in the analytical and numerical description of vadose zone transfer processes. A variety of deterministic models are currently available for describing and predicting these processes. The most popular ones continue to be the classical Richards equation for unsaturated flow and the Fickian-based convection-dispersion equation for solute transport. While deterministic solutions of these equations remain useful tools in research and management, their practical utility for predicting actual field water and solute concentration is increasingly being questioned. Problems caused by preferential flow through soil macropores and by spatial and temporal variability in soil hydraulic properties have caused some disillusionment with the classical models. A number of alternative deterministic and stochastic formulations have been proposed to specifically deal with preferential flow and/or spatial variability. Those models have greatly increased our understanding of field scale transport processes, and have in some cases led to better practical tools for management purposes.

[1]  Randall J. Charbeneau,et al.  Kinematic Models for Soil Moisture and Solute Transport , 1984 .

[2]  William A. Jury,et al.  A Transfer Function Model of Solute Transport Through Soil: 2. Illustrative Applications , 1986 .

[3]  R. Wagenet Principles of Salt Movement in Soils , 1983 .

[4]  George F. Pinder,et al.  On the Simulation of Nonaqueous Phase Organic Compounds in the Subsurface , 1986 .

[5]  Jack C. Parker,et al.  Determining transport parameters from laboratory and field tracer experiments , 1984 .

[6]  Steven M. Gorelick,et al.  A Statistical Methodology for Estimating Transport Parameters: Theory and Applications to One‐Dimensional Advectivec‐Dispersive Systems , 1986 .

[7]  J. W. Mercer,et al.  An efficient finite element technique for modeling transport in fractured porous media: 1. Single species transport , 1983 .

[8]  J. Rubin,et al.  Transport of reacting solutes in porous media: Relation between mathematical nature of problem formulation and chemical nature of reactions , 1983 .

[9]  H. Morel‐Seytoux,et al.  A Two-Phase Numerical Model for Prediction of Infiltration: Case of an Impervious Bottom , 1985 .

[10]  Malcolm R. Davidson Numerical calculation of saturated-unsaturated infiltration in a cracked soil , 1985 .

[11]  P. Jardine,et al.  Effects of Heterogeneous Adsorption Behavior on Ion Transport , 1986 .

[12]  D. R. Nielsen,et al.  Water flow and solute transport processes in the unsaturated zone , 1986 .

[13]  George F. Pinder,et al.  A Multiphase Approach to the Modeling of Porous Media Contamination by Organic Compounds: 1. Equation Development , 1985 .

[14]  R. E. White,et al.  The Influence of Macropores on the Transport of Dissolved and Suspended Matter Through Soil , 1985 .

[15]  W. F. Spencer,et al.  Behavior assessment model for trace organics in soil. II: Chemical classification and parameter sensitivity , 1984 .

[16]  Anders Rasmuson,et al.  Chemical transport in a fissured rock: Verification of a numerical model , 1982 .

[17]  Gedeon Dagan,et al.  Unsaturated flow in spatially variable fields: 2. Application of water flow models to various fields , 1983 .

[18]  Peter F. Germann,et al.  Kinematic Wave Approach to Infiltration and Drainage into and from Soil Macropores , 1985 .

[19]  A. Rasmuson Migration of Radionuclides in Fissured Rock: Analytical Solutions for the Case of Constant Source Strength , 1984 .

[20]  Asymptotic Behavior of Infiltration in Soils Containing Cracks or Holes , 1985 .

[21]  J. W. Biggar,et al.  Modeling tritium and chloride 36 transport through an aggregated oxisol , 1983 .

[22]  E. E. Miller,et al.  Physical Theory for Capillary Flow Phenomena , 1956 .

[23]  J. Philip Steady Infiltration From Buried Discs and Other Sources , 1986 .

[24]  G. A. Matzkanin,et al.  Surface Soil Water Content Measurement Using Pulsed Nuclear Magnetic Resonance Techniques , 1985 .

[25]  J. W. Biggar,et al.  On the Equivalence of Two Conceptual Models for Describing Ion Exchange During Transport Through an Aggregated Oxisol , 1984 .

[26]  Hubert J. Morel-Seytoux,et al.  A Two‐Phase Numerical Model for Prediction of Infiltration: Applications to a Semi‐Infinite Soil Column , 1985 .

[27]  A. Gutjahr,et al.  Stochastic Analysis of Unsaturated Flow in Heterogeneous Soils: 2. Statistically Anisotropic Media With Variable α , 1985 .

[28]  Allan L. Gutjahr,et al.  Stochastic Analysis of Unsaturated Flow in Heterogeneous Soils: 3. Observations and Applications , 1985 .

[29]  Gedeon Dagan,et al.  Unsaturated flow in spatially variable fields: 3. Solute transport models and their application to two fields , 1983 .

[30]  Keith Beven,et al.  Kinematic Wave Approximation to Infiltration Into Soils With Sorbing Macropores , 1985 .

[31]  Vedat Batu Two‐Dimensional Dispersion from Strip Sources , 1983 .

[32]  D. R. Nielsen,et al.  Soil Solute Concentration Distributions for Spatially Varying Pore Water Velocities and Apparent Diffusion Coefficients 1 , 1982 .

[33]  P. Huyakorn,et al.  Techniques for Making Finite Elements Competitve in Modeling Flow in Variably Saturated Porous Media , 1984 .

[34]  Transport of organic contaminants in groundwater. , 1985, Environmental science & technology.

[35]  M. Th. van Genuchten,et al.  Convective-dispersive transport of solutes involved in sequential first-order decay reactions , 1985 .

[36]  J. Philip Steady Infiltration from Circular Cylindrical Cavities , 1984 .

[37]  Charles R. Faust,et al.  Transport of Immiscible Fluids Within and Below the Unsaturated Zone: A Numerical Model , 1985 .

[38]  J. R. Jensen POTASSIUM DYNAMICS IN SOIL DURING, STEADY FLOW , 1984 .

[39]  R. E. Jessup,et al.  EXPERIMENTAL AND THEORETICAL ASPECTS OF SOLUTE DIFFUSION IN SPHERICAL AND NONSPHERICAL AGGREGATES , 1982 .

[40]  E. Sudicky,et al.  An Advection‐Diffusion Concept for Solute Transport in Heterogeneous Unconsolidated Geological Deposits , 1984 .

[41]  J. S. Remer,et al.  Nonequilibrium and equilibrium sorption with a linear sorption isotherm during mass transport through an infinite porous medium: Some analytical solutions , 1984 .

[42]  D. R. Nielsen,et al.  Analyzing field-measured soil-water properties , 1983 .

[43]  Keith Beven,et al.  On the Variation of Infiltration Into a Homogeneous Soil Matrix Containing a Population of Macropores , 1986 .

[44]  Tom Addiscott,et al.  Concepts of solute leaching in soils: a review of modelling approaches , 1985 .

[45]  Vedat Batu Time‐dependent, linearized two‐dimensional infiltration and evaporation from nonuniform and nonperiodic strip sources , 1982 .

[46]  Jiftah Ben-Asher,et al.  Infiltration and Water Extraction from Trickle Irrigation Source: The Effective Hemisphere Model1 , 1986 .

[47]  R. Wagenet,et al.  Basic Concepts of Modeling Pesticide Fate in the Crop Root Zone , 1985, Weed science.

[48]  Laj R. Ahuja,et al.  Scaling soil water properties and infiltration modeling , 1984 .

[49]  T. N. Narasimhan,et al.  Hydrology and geochemistry of the uranium mill tailings pile at Riverton, Wyoming. Part II. History matching. [Mathematical simulation of the observed fluid potentials within the tailings, and the observed distribution of various chemical species within and around the mill tailings] , 1985 .

[50]  C. Miller,et al.  Simulation of Solute Transport in a Chemically Reactive Heterogeneous System' Model Development and Application , 1983 .

[51]  D. S. Ward,et al.  Finite Element Matrix and Mass Balance Computational Schemes for Transport in Variably Saturated Porous Media , 1985 .

[52]  Allen M. Shapiro,et al.  Stochastic analysis of one‐dimensional steady state unsaturated flow: A Comparison of Monte Carlo and Perturbation Methods , 1983 .

[53]  J. Barker,et al.  Block-geometry functions characterizing transport in densely fissured media , 1985 .

[54]  R. E. White,et al.  Leaching of Herbicides Through Undisturbed Cores of a Structured Clay Soil , 1986 .

[55]  W. F. Spencer,et al.  Behavior Assessment Model for Trace Organics in Soil: I. Model Description , 2003 .

[56]  C. Voss,et al.  SUTRA (Saturated-Unsaturated Transport). A Finite-Element Simulation Model for Saturated-Unsaturated, Fluid-Density-Dependent Ground-Water Flow with Energy Transport or Chemically-Reactive Single-Species Solute Transport. , 1984 .

[57]  G. Topp,et al.  Measurement of Soil Water Content using Time‐domain Reflectrometry (TDR): A Field Evaluation , 1985 .

[58]  Piotr Maloszewski,et al.  On the theory of tracer experiments in fissured rocks with a porous matrix , 1985 .

[59]  Mark N. Goltz,et al.  Interpreting organic solute transport data from a field experiment using physical nonequilibrium models , 1986 .

[60]  J. Loch,et al.  Transport of Cationic Solutes in Sorbing Porous Media , 1984 .

[61]  P. Milly,et al.  A mass-conservative procedure for time-stepping in models of unsaturated flow , 1985 .

[62]  A. C. Chang,et al.  Monte-Carlo Simulation of Noninteracting Solute Transport in a Spatially Heterogeneous Soil1 , 1985 .

[63]  A. Peck Field Variability of Soil Physical Properties , 1983 .

[64]  Jack C. Parker,et al.  Determining Soil Hydraulic Properties from One-step Outflow Experiments by Parameter Estimation: I. Theory and Numerical Studies1 , 1985 .

[65]  T. N. Narasimhan,et al.  Hydrologic Mechanisms Governing Fluid Flow in a Partially Saturated, Fractured, Porous Medium , 1985 .

[66]  M. V. Genuchten,et al.  Flux-Averaged and Volume-Averaged Concentrations in Continuum Approaches to Solute Transport , 1984 .

[67]  A. Valocchi,et al.  Constraints on the Validity of Equilibrium and First-Order Kinetic Transport Models in Structured Soils , 1986 .

[68]  M. T. van Genuchten,et al.  Some Exact Solutions for Solute Transport Through Soils Containing Large Cylindrical Macropores , 1984 .

[69]  J. Parker Analysis of Solute Transport in Column Tracer Studies 1 , 1984 .

[70]  G. Dagan Solute transport in heterogeneous porous formations , 1984, Journal of Fluid Mechanics.

[71]  J. H. Dane,et al.  In-Situ Determination of Soil Hydraulic Properties during Drainage1 , 1983 .

[72]  Allan L. Gutjahr,et al.  Stochastic analysis of macrodispersion in a stratified aquifer , 1979 .

[73]  William A. Jury,et al.  A Transfer Function Model of Solute Transport Through Soil: 1. Fundamental Concepts , 1986 .

[74]  P. J. Wierenga,et al.  Solute Transfer Through Columns of Glass Beads , 1984 .

[75]  L. Boersma,et al.  SORPTION PROCESSES IN SOILS AS INFLUENCED BY PORE WATER VELOCITY: 1. THEORY , 1983 .

[76]  George F. Pinder,et al.  A Multiphase Approach to the Modeling of Porous Media Contamination by Organic Compounds: 2. Numerical Simulation , 1985 .

[77]  Anders Rasmuson,et al.  An approach to modelling radionuclide migration in a medium with strongly varying velocity and block sizes along the flow path , 1984 .

[78]  C. Axness,et al.  Three‐dimensional stochastic analysis of macrodispersion in aquifers , 1983 .

[79]  S. Dreiss A NUMERICAL TECHNIQUE FOR MODELING TRANSIENT FLOW OF WATER TO A SOIL WATER SAMPLER , 1986 .

[80]  William A. Jury,et al.  Field calibration and validation of solute transport models for the unsaturated zone , 1985 .

[81]  S. Dasberg,et al.  Time domain reflectometry field measurements of soil water content and electrical conductivity , 1985 .

[82]  William A. Jury,et al.  Inspectional analysis in the theory of water flow through unsaturated soil , 1985 .

[83]  J. Rubin,et al.  Dispersion‐affected transport of reacting solutes in saturated porous media: Galerkin Method applied to equilibrium‐controlled exchange in unidirectional steady water flow , 1973 .

[84]  Roger E. Smith Approximate Soil Water Movement by Kinematic Characteristics1 , 1983 .

[85]  A. Jennings,et al.  Finite Element Analysis of Multicomponent Contaminant Transport Including Precipitation-Dissolution Reactions , 1984 .

[86]  H. D. Schulz,et al.  A combined mixing Cell/Analytical model to describe two-dimensional reactive solute transport for unidirectional groundwater flow , 1983 .

[87]  Robert L. Street,et al.  A Groundwater Mass Transport and Equilibrium Chemistry Model for Multicomponent Systems , 1985 .

[88]  William A. Jury,et al.  A Transfer Function Model of Solute Transport Through Soil: 3. The Convection‐Dispersion Equation , 1986 .

[89]  Allan L. Gutjahr,et al.  Stochastic Analysis of Unsaturated Flow in Heterogeneous Soils: 1. Statistically Isotropic Media , 1985 .

[90]  E. Sudicky,et al.  Matrix Diffusion Effects on Contaminant Migration from an Injection Well in Fractured Sandstone , 1984 .

[91]  Hannes Flühler,et al.  An experimental study of solute transport in a stony field soil , 1987 .

[92]  J. Skopp Analysis of Time-dependent Chemical Processes in Soils 1 , 1986 .

[93]  William A. Jury,et al.  Simulation of solute transport using a transfer function model , 1982 .

[94]  Albert J. Valocchi,et al.  Validity of the local equilibrium assumption for modeling sorbing solute transport through homogeneous soils , 1985 .

[95]  William A. Jury,et al.  Fundamental Problems in the Stochastic Convection‐Dispersion Model of Solute Transport in Aquifers and Field Soils , 1986 .

[96]  M. Vauclin,et al.  Flux‐Concentration Relation‐Based Solution of Constant‐Flux Infiltration Equation: I. Infiltration into Nonuniform Initial Moisture Profiles , 1984 .

[97]  R. L. Cooley Some new procedures for numerical solution of variably saturated flow problems , 1983 .

[98]  G. Weir Steady Infiltration From Large Shallow Ponds , 1986 .

[99]  K. Beven,et al.  Macropores and water flow in soils , 1982 .

[100]  A. W. Warrick,et al.  A Generalized Solution to Infiltration1 , 1985 .

[101]  A. Valocchi Describing the Transport of Ion‐Exchanging Contaminants Using an Effective Kd Approach , 1984 .

[102]  D. R. Nielsen,et al.  Scale Factors in Soil Science1 , 1984 .

[103]  Gedeon Dagan,et al.  Unsaturated flow in spatially variable fields: 1. Derivation of models of infiltration and redistribution , 1983 .