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2011 | OriginalPaper | Buchkapitel

2. Water Movement and Solute Transport in Unsaturated Porous Media

verfasst von : Vyacheslav G. Rumynin

Erschienen in: Subsurface Solute Transport Models and Case Histories

Verlag: Springer Netherlands

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Abstract

The unsaturated zone, also termed the vadose zone, is the portion of the subsurface above the groundwater table. It contains air as well as water in the pores. This zone is also high in organic matter and clay, which promotes sorption, biological degradation and transformation of contaminants. In industrial or agricultural areas, where the ground surface is contaminated by hazardouswastes or fertilizers and pesticides, the unsaturated zone may be thought of as a buffer zone, which provides protection to the underlying aquifers. Unsaturated zone is often regarded as a filter removing undesirable substances before they affect aquifers, and the hydrogeologic properties of unsaturated zone are the most important factor for groundwater deterioration induced by surface contamination (Stephens 1996; Selker et al. 1999).

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Vorheriges Kapitel Advection and Dispersion of Dissolved Species in Aquifers

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Averjanov SF (1950) About permeability of subsurface soils in case of incomplete saturation. Engineering Collection Vol VII. As quoted by PY Polubarinova-Kochina in The theory of groundwater movement (1962). Princeton University Press, Princeton, pp 19--21

[Barry and Sander(1991)]{ch02:Barry1991} Barry DA, Sander GC (1991) Exact solution for water infiltration with an arbitrary surface flux or nonlinear solute adsorption. Water Resour Res 27:2667--2680

[Barry et al.(1993)]{ch02:Barry1993} Barry DA, Parlange J-Y, Sander GC et al (1993) A class of exact solutions for Richards\prime equation. J Hydrol 142:29--46

[Barry et al.(2005)]{ch02:Barry2005} Barry DA, Parlange J-Y, Li L et al (2005) Green--Ampt approximations. Adv Water Resour 28:1003--1009

[Bear and Cheng(2010)]{ch02:Bear2010} Bear J, Cheng AH-D (2010) Modeling groundwater flow and contaminant transport. Springer, Dordrecht/Heidelberg/London/New York

[Broadbridge(1990)]{ch02:Broadbridge1990} Broadbridge P (1990) Solution of nonlinear adsorption model of mixed saturated-unsaturated flow. Water Resour Res 26:2435--2443

[Broadbridge and White(1988)]{ch02:Broadbridge1988} Broadbridge P, White I (1988) Constant rate rainfall infiltration: A versatile nonlinear model. 1. Analytic solution, Water Resour Res 24:145--154

[Brooks and Corey(1964)]{ch02:Brooks1964} Brooks RH, Corey AT (1964) Hydraulic properties of porous media. Colo State Univ Fort Collins Hydrol Pap 3:27

[Bruce and Klute(1956)]{ch02:Bruce1956} Bruce RR, Klute A (1956) The measurement of sol-water diffusivity. Soil Sci Soc Am Proc 20:458--562

[Brutsaert(1967)]{ch02:Brutsaert1967} Brutsaert W (1967) Some methods of calculating unsaturated permeability. Trans ASAE 10:400--404

[Brutsaert(1968)]{ch02:Brutsaert1968} Brutsaert W (1968) The permeability of a porous medium determined from certain probability laws for pore size distribution. Water Resour Res 4:425--434

[Brutsaert(1976)]{ch02:Brutsaert1976} Brutsaert W (1976) The concise formulation of diffusive sorption of water in dry soil. Water Resour Res 12:1118--1124

[Chahinian et al.(2005)]{ch02:Chahinian2005} Chahinian N, Moussa R, Andrieux P et al (2005) Comparison of infiltration models to simulate flood events at the field scale. J Hydrol 306:191--214

[Corey(1977)]{ch02:Corey1977} Corey A (1977) Mechanics of heterogeneous fluids in porous media. Water Resources, Fort Collins

[Corey(1994)]{ch02:Corey1994} Corey AT (1994) Mechanics of immiscible fluids in porous media. Water Resources, Highlands Ranch

[Gandola et al.(2001)]{ch02:Gandola2001} Gandola F, Sander GC, Braddock RD (2001) One dimensional transient water and solute transport in soils. In: Ghassemi F, Post D, Sivapalan M, Vertessy R (eds) MODSIM, natural systems (Part one) vol 1, MSSANZ, Canberra

[Gardner(1958)]{ch02:Gardner1958} Gardner WR (1958) Some steady state solutions of unsaturated moisture flow equations with application to evaporation from a water table. Soil Sci 85:228--232

[Gelhar(1993)]{ch02:Gelhar1993} Gelhar LW (1993) Stochastic subsurface hydrology. Prentice-Hall, Englewood Clift

[Green and Ampt(1911)]{ch02:Green1911} Green WH, Ampt CA (1911) Studies on soil physics: 1 flow of air and water through soils. J Agr Sci 4:1--24

[Hassanizadeh et al.(2002)]{ch02:Hassanizadeh2002} Hassanizadeh SM, Celia MA, Dahle HK (2002) Dynamic effect in the capillary pressure-saturation relationship and its impacts on unsaturated flow. Vadoze Zone J1:38--57

[Haverkamp et al.(1994)]{ch02:Haverkamp1994} Haverkamp R, Ross PJ, Smetten KRJ et al (1994) Three-dimensional analysis of infiltration from the disk infiltrometer. 2 Physically based infiltration equation. Water Resour Res 30:2931--2935

[Ho(2001)]{ch02:Ho2001} Ho CK (2001) A semianalytical solution for steady infiltration in unsaturated fractured rock. Water Resour Res 37:2285--2289

[Kao and Hunt(1996)]{ch02:Kao1996} Kao CS, Hunt JR (1996) Prediction of wetting front movement during one-dimensional infiltration into soil. Water Resour Res 32:55--64

[Koo and Suh(2001)]{ch02:Koo2001} Koo M-H, Suh M-C (2001) Geotechnical and hydrogeological approaches towards conservation of Muryong Royal Tomb in Korea. Environ Geol 41:470--479

[Lagan(2001)]{ch02:Lagan2001} Lagan JD (2001) Transport modeling in hydro-chemical systems. Interdisciplinary applied mathematics. Springer, New-York

[Lassabat\`{e}re et al.(2006)]{ch02:Lassabatere2006} Lassabat\`{e}re L, Angulo-Jaramillo R, Soria Ugalde JM et al (2006) Beerkan estimation of soil transfer parameters through infiltration experiments -- BEST. Soil Sci Soc Am J 70:521--532

[Leong and Rahardjo(1997)]{ch02:Leong1997} Leong EC, Rahardjo H (1997) Permeability functions for unsaturated soils. J Geotech Geoenviron Eng 123:1118--1126

[Lessoff and Indelman(2004)]{ch02:Lessoff2004} Lessoff SC, Indelman P (2004) Analytical model of solute transport by unsteady unsaturated gravitational infiltration. J Contam Hydrol 72:85--107

[Liu et al.(2002)]{ch02:Liu2002} Liu HH, Bodvarsson GS, Finsterle S (2002) A note on unsaturated flow in two-dimensional fracture networks. Water Resour Res 38:1176--1184

[Mualem(1976)]{ch02:Mualem1976} Mualem Y (1976) A new model for predicating the hydraulic conductivity of unsaturated porous media. Water Resour Res 12:513--522

[Nachabe et al.(1995)]{ch02:Nachabe1995} Nachabe MH, Islas AL, Illangasekare TH (1995) Analytical solutions for water flow and solute transport in the unsaturated zone. Ground Water 33(2):304--310

[Narasimhan(2005)]{ch02:Narasimhan2005} Narasimhan TN (2005) Buckingham, 1907: an appreciation. Vadose Zone J 4:434--441

[Neuman(1976)]{ch02:Neuman1976} Neuman ShP (1976) Wetting front pressure head in the infiltration model of Green and Ampt. Water Resour Res 12:564--566.

[Neuman(2005)]{ch02:Neuman2005} Neuman ShP (2005) Trends, prospects and challenges in quantifying flow and transport through fractured rocks. Hydrogeol J 13:124--147

[Ng and Menzies(2007)]{ch02:Ng2007} Ng CWW, Menzies B (2007) Advanced unsaturated soil mechanics and engineering. Taylor {&} Francis, London

[Nielsen(1991)]{ch02:Nielsen1991} Nielsen DM (1991) Practical handbook of ground-water monitoring. Lewis Publishers, Chelsea

[Nielsen et al.(1986)]{ch02:Nielsen1986} Nielsen DR, van Genuchten MTh, Biggar JW (1986) Water flow and solute transport processes in the unsaturated zone. Water Resour Res 22(9):89--108

[Padilla et al.(1999)]{ch02:Padilla1999} Padilla IY, Yeh T-CJ, Coonklin H (1999) The effect of water content on solute transport in unsaturated porous media. Water Resour Res 35:3303--3313

[Parlange(1971a)]{ch02:Parlange1971a} Parlange J-Y (1971a) Theory of water movement in soils: 1 one-dimensional absorption. Soil Sci 111:134--137

[Parlange(1971b)]{ch02:Parlange1971b} Parlange J-Y (1971b) Theory of water movement in soils: 2 one-dimensional infiltration. Soil Sci 111:170--174

[Parlange(1980)]{ch02:Parlange1980} Parlange J-Y (1980) Water transport in soil. Annu Rev Fluid Mech 12: 77--102

[Parlange et al.(1985)]{ch02:Parlange1985} Parlange J-Y, Haverkamp R, Touma J (1985) Infiltration under ponded conditions. Part 1 optimal analytical solution and comparison with experimental observations. Soil Sci 139:305--311

[Parlange et al.(1992)]{ch02:Parlange1992} Parlange J-Y, Barry DA, Haverkamp R (1992) Comment on “A simple approximate solution for horizontal infiltration in a Brook--Corey medium” by R.W. Zimmerma and G.S. Bodvarsson. Transp Porous Media 9:297--301

[Parlange et al.(1997)]{ch02:Parlange1997} Parlange J-Y, Barry DA, Parlange MB (1997) New approximate analytical technique to solve Richards equation for arbitrary surface boundary conditions. Water Resour Res 33:903--906

[Parlange et al.(1999)]{ch02:Parlange1999} Parlange J-Y, Hogarth WL, Barry DA (1999) Analytical approximation to the solution of Richards\prime equation with application to infiltration, ponding, and time compression approximation. Adv Water Resour 23:187--194

[Parlange et al.(2002)]{ch02:Parlange2002} Parlange J-Y, Barry DA, Haverkamp R (2002) Explicite infiltration equations and the Lambert W-function. Adv Water Resour 25:1119--1124

[Pease and Stormont(1996)]{ch02:Pease1996} Pease RE, Stormont JC (1996) Increasing the diversion length of capillary barriers. In: Proceedings of the HSRC/WERC joint conference of the environment, May 1996, Kansas State University, Manhattan

[Philip(1957a)]{ch02:Philip1957a} Philip JR (1957a) The theory of infiltration: 1 the infiltration equation and its solution. Soil Sci 83:345--357

[Philip(1957b)]{ch02:Philip1957b} Philip JR (1957b) The theory of infiltration: 4 sorptivity and algebraic infiltration equations. Soil Sci 8:257--264

[Philip(1957c)]{ch02:Philip1957c} Philip JR (1957c) The theory of infiltration: 2 the profile at infinity. Soil Sci 83:435--448

[Philip(1987)]{ch02:Philip1987} Philip JR (1987) The infiltration joining problem. Water Resour Res 23:2239--2245

[Polyanin et al.(2005)]{ch02:Polyanin2005} Polyanin AD, Zaitsev VF, Zhurov AI (2005) Methods of solving nonlinear equations of the mathematical physics and mechanics. Fizmatlit, Moscow

[Pruess(1999)]{ch02:Pruess1999} Pruess K (1999) A mechanistic model for water seepage through thick unsaturated zones of fractured rocks of low permeability. Water Resour Res 35:1039--1052

[Raats and Genuchten(2006)]{ch02:Raats2006} Raats PAC, van Genuchten MTh (2006) Milestone in soil physics. Soil Sci. 171:S21--S28

[Ravi and Williams(1998)]{ch02:Ravi1998} Ravi V, Williams JR (1998) Estimation of infiltration rate in the vadose zone: compilation of simple mathematical models. Report EPA/600/R-97/128a, vol 1. Environmental Protection Agency, Washington, DC

[Richards(1931)]{ch02:Richards1931} Richards LA (1931) Capilary conduction of liquids through porous mediums. Physics 1:318--333

[Ross and Parlange(1994)]{ch02:Ross1994} Ross PJ, Parlange JY (1994) Comparing exact and numerical solutions of Richards equation for one-dimensional infiltration and drainage. Soil Sci 157:341--344

[Salvucci(1996)]{ch02:Salvucci1996} Salvucci GD (1996) Series solution for Richards equation under concentration boundary conditions and uniform initial conditions. Water Resour Res 32:2401--2407

[Salvucci and Entekhabi(1994)]{ch02:Salvucci1994} Salvucci GD, Entekhabi D (1994) Explicit expression for Green-Ampt (delta function diffusivity) infiltration rate and cumulative storage. Water Resour Res 30:2661--2663

[Selker et al.(1999)]{ch02:Selker1999} Selker JS, Keller CK, McCord JT (1999) Vadose zone processes. CRC Press LLC, Boca Raton

[Singh(1997)]{ch02:Singh1997} Singh VP (1997) Kinematic wave modeling in water resources: environmental hydrology. Wiley, New York

[Smiles et al.(1978)]{ch02:Smiles1978} Smiles DE, Philip JR, Knight LH et al (1978) Hydrodynamic dispersion during absorption of water by soil. Soil Sci. Soc Am 42:229--234

[Stephens(1996)]{ch02:Stephens1996} Stephens DB (1996) Vadose zone hydrology. Lewis Publishers, New York

[Van Dam et al.(2004)]{ch02:VanDam2004} Van Dam JC, De Rooij GH, Heinen M, Stagnitti F (2004) Concepts and dimensionality in modeling unsaturated water flow and solute transport. In: Feddes RA, de Rooij GH, van Dam JC (eds) Unsaturated-zone Modeling: progress, challenges and applications. Kluwer, Wageningen, pp 1--36

[Van Genuchten(1980)]{ch02:VanGenuchten1980} Van Genuchten MTh (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44:892--898.

[Van Genuchten and Nielsen(1985)]{ch02:VanGenuchten1985} Van Genuchten MTh, Nielsen DR (1985) On describing and predicting the hydraulic properties of unsaturated soil. Ann Geophys 3:615--628

[Vanderborght et al.(2000a)]{ch02:Vanderborght2000a} Vanderborght J, Timmerman A, Feyen J (2000a) Solute transport for steady-state and transient flow in soils with and without macropores. Soil Sci Soc Am J 64:1305--1317

[Vanderborght et al.(2000b)]{ch02:Vanderborght2000b} Vanderborght J, Jacques D, Feyen J (2000b) Deriving transport parameter from transient flow leaching experiments by approximate steady-state flow convection-dispersion models. Soil Sci Soc Am J 64:1317--1327

[Vanderborght et al.(2005)]{ch02:Vanderborght2005} Vanderborght J, Kasteel R, Herbst M et al (2005) A set of analytical benchmarks to test numerical models of flow and transport in soils. Vadose Zone J 4:206--221

[Wang et al.(2003)]{ch02:Wang2003} Wang Q, Horton R, Shao M (2003) Algebraic model for one-dimensional infiltration and soil water distribution. Soil Sci 168:671--676

[Wang et al.(2006)]{ch02:Wang2006} Wang Q-J, Zhang J-H, Jun F (2006) An analytical method for relationship between hydraulic diffusivity and soil sorptivity. Pedosphere 16:444--450

[Wang et al.(2009)]{ch02:Wang2009} Wang Q-J, Horton R, Fan J (2009) An analytical solution for one-dimensional water infiltration and redistribution in unsaturated soil. Pedosphere 19:104--110

[Weight(2008)]{ch02:Weight2008} Weight WD (2008) Hydrogeology field manual, 2nd edn. McGraw-Hill, New York

[Williams et al.(1998)]{ch02:Williams1998} Williams JR, Ouyang Y et al (1998) Estimation of infiltration rate in the vadose zone: application of selected mathematical models. Report EPA/600/R-97/128d, vol 2. Environmental Protection Agency, Washington, DC

[Wilson and Gelhar(1981)]{ch02:Wilson1981} Wilson JL, Gelhar LW (1981) Analysis of longitudinal dispersion in unsaturated flow. The analytical method. Water Resour Res 17:122--130

[Wiltshire and El-Kafri(2004)]{ch02:Wiltshire2004} Wiltshire R, El-Kafri M (2004) Non-classical and potential symmetry analysis of Richard’s equation for moisture flow in soil. J Phys A Math Gen 37:823--839

[Witelski(1998)]{ch02:Witelski1998} Witelski TP (1998) Horizontal infiltration into wet soil. Water Resour Res 34:1859--1863

[Witelski(2005)]{ch02:Witelski2005} Witelski TP (2005) Motion of wetting front moving into partially pre-wet soil. Adv Water Resour 28:1133--1141

[Youngs(1957)]{ch02:Youngs1957} Youngs EG (1957) Moisture profiles during vertical infiltration. Soil Sci 84:283--287

[Zhang et al.(2004)]{ch02:Zhang2004} Zhang O, Volker RE, Lockington DA (2004) Numerical investigation of seawater intrusion at Gooburrum, Bundaberg, Queensland, Australia. Hydrogeol J 12:674--687

[Zlotnik et al.(2007)]{ch02:Zlotnik2007} Zlotnik VA, Wang T, Nieber JL (2007) Verification of numerical solutions of the Richards equation using a traveling wave solution. Adv Water Resour 30:1973--1980

Titel: Water Movement and Solute Transport in Unsaturated Porous Media
verfasst von: Vyacheslav G. Rumynin
Verlag: Springer Netherlands
Buch: Subsurface Solute Transport Models and Case Histories
Print ISBN: 978-94-007-1305-5

Electronic ISBN: 978-94-007-1306-2

Copyright-Jahr: 2011
DOI: https://doi.org/10.1007/978-94-007-1306-2_2