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Rainfall infiltration-induced groundwater table rise in an unsaturated porous medium

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Abstract

Increased rainfall associated with climate change is becoming a common occurrence and can lead to a variety of geoenvironmental hazards. Infiltration during rainfall and deformations of a soil mass are coupled, and the water table can easily experience a rise during these events. A study of the coupling process is important to increase our knowledge concerning the impact of a water level rise on the environment. Based on the theory of seepage and flow in porous media, the theory of elasticity and the soil–water characteristic curve, a two-dimensional hydro-mechanical model for an unsaturated porous medium is developed and incorporated in the COMSOL Multiphysics® software. The numerical procedure is capable of considering the influences of the soil–water characteristic curve. The effects of varying the boundary conditions on the coupled unsaturated infiltration and deformation equations are investigated. The examples demonstrate that the coupling effects significantly influence the position of the groundwater levels. The rate of change in the water table is closely related to the coupled infiltration and deformation in an unsaturated porous medium.

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References

  • Alonso EE, Gens A, Delahaye CH (2003) Influence of rainfall on the deformation and stability of a slope in overconsolidated clays: a case study. Hydrogeol J 11:174–192

    Article  Google Scholar 

  • Basha HA (1999) Multidimensional linearized nonsteady infiltration with prescribed boundary conditions at the soil surface. Water Resour Res 35(1):75–83

    Article  Google Scholar 

  • Basha HA (2000) Multidimensional linearized nonsteady infiltration toward a shallow water table. Water Resour Res 36:2567–2573

    Article  Google Scholar 

  • Basha HA, Selvadurai APS (1998) Heat-induced moisture transport in the vicinity of a spherical heat source. Int J Numer Anal Methods 22(12):969–981

    Article  Google Scholar 

  • Bettess P (1977) Infinite elements. Int J Numer Methods Eng 11(1):53–64

    Article  Google Scholar 

  • Chen JM, Tan YC, Chen CH, Parlange JY (2001) Analytical solutions for linearized Richards equation with arbitrary time-dependent surface fluxes. Water Resour Res 37(4):1091–1093

    Article  Google Scholar 

  • Cho SE, Lee SR (2001) Instability of unsaturated soil slopes due to infiltration. Comput Geotech 28:185–208

    Article  Google Scholar 

  • Dakshanamurthy V, Fredlund DG, Rahardjo H (1984) Coupled three-dimensional consolidation theory of unsaturated porous media. In: Proceedings of the international conference on expansive soils, pp 99–103. Adelaide, Australia

  • Davis RO, Selvadurai APS (1996) Elasticity and geomechanics. Cambridge University Press, Cambridge

    Google Scholar 

  • Davis RO, Selvadurai APS (2002) Plasticity and geomechanics. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Desai CS, Siriwardane HJ (1984) Constitutive laws for engineering materials with emphasis on geologic materials. Prentice-Hall, London

    Google Scholar 

  • Ehlers W, Graf T, Ammann M (2004) Deformation and localization analysis of partially saturated soil. Comput Method Appl Mech 193:2885–2910

    Article  Google Scholar 

  • Garcia E, Oka F, Kimoto S (2011) Numerical analysis of a one-dimensional infiltration problem in unsaturated soil by a seepage-deformation coupled method. Int J Numer Anal Methods 35(5):544–568

    Article  Google Scholar 

  • Gardner WR (1958) Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table. Soil Sci 85:228–232

    Article  Google Scholar 

  • Griffiths DV, Lu N (2005) Unsaturated slope stability analysis with steady infiltration or evaporation using elasto-plastic finite elements. Int J Numer Anal Methods 29:249–267

    Article  Google Scholar 

  • Huang RQ, Wu LZ (2012) Analytical solutions to 1-D horizontal and vertical water infiltration in saturated/unsaturated soils considering time-varying rainfall. Comput Geotech 39:66–72

    Article  Google Scholar 

  • Ichikawa Y, Selvadurai APS (2012) Transport phenomena in porous media: aspects of micro/macro behaviour. Springer, Berlin [Japanese Ed. 2015]

    Book  Google Scholar 

  • Kangro R, Nicolaides R (2000) Far field boundary conditions for Black-Scholes equations. SIAM J Numer Anal 38(4):1357–1368

    Article  Google Scholar 

  • Kim JM (2000) A fully coupled finite element analysis of water table fluctuation and land deformation in partially saturated soils due to surface loading. Int J Numer Methods Eng 49:1101–1119

    Article  Google Scholar 

  • Lu N, Godt JW, Wu DT (2010) A closed-form equation for effective stress in unsaturated soil. Water Resour Res. doi:10.1029/2009WR008646

    Google Scholar 

  • Mansuco C, Jommi C, D’Onza F (eds) (2012) Unsaturated soils: research and applications, vol 1, 2. Springer, Berlin

    Google Scholar 

  • Mualem Y (1976) A new model for predicting the conductivity of unsaturated porous media. Water Resour Res 12:513–522

    Article  Google Scholar 

  • Najari M, Selvadurai APS (2014) Thermo-hydro-mechanical response of granite to temperature changes. Environ Earth Sci 72(1):189–198

    Article  Google Scholar 

  • Oka F, Kimoto S, Takada N (2010) A seepage-deformation coupled analysis of an unsaturated river embankment using a multiphase elasto-viscoplastic theory. Soils Found 50(4):483–494

    Article  Google Scholar 

  • Ozisik M (1989) Boundary value problems of heat conduction. Dover, New York

    Google Scholar 

  • Pietruszczak S (2010) Fundamentals of plasticity in geomechanics. CRC Press, Boca Raton

    Google Scholar 

  • Schnellmann R, Busslinger M, Schneider HR, Rahardjo H (2010) Effect of rising water table in an unsaturated slope. Eng Geol 114:71–83

    Article  Google Scholar 

  • Schofield AN, Wroth P (1968) Critical state soil mechanics. McGraw-Hill, New York

    Google Scholar 

  • Selvadurai APS (2000a) Partial differential equations in mechanics, vol 1., The Biharmonic equation, Poisson’s equationSpringer, Berlin

    Book  Google Scholar 

  • Selvadurai APS (2000b) Partial differential equations in mechanics, vol 2., Fundamentals, Laplace’s equation, diffusion equation and wave equationSpringer, Berlin

    Book  Google Scholar 

  • Selvadurai APS (2003) Intake shape factors for entry points in porous media with transversely isotropic hydraulic conductivity. Int J Geomech 3:152–159

    Article  Google Scholar 

  • Selvadurai APS (2004) Fluid intake cavities in stratified porous media. J Porous Media 7:1–17

    Article  Google Scholar 

  • Selvadurai APS (2007) The analytical method in geomechanics. Appl Mech Rev 60:87–106

    Article  Google Scholar 

  • Selvadurai APS (2010) On the hydraulic intake shape factor for a circular opening located at an impervious boundary: influence of inclined stratification. Int J Numer Anal Methods Geomech 35:639–651

    Article  Google Scholar 

  • Selvadurai APS (2014) A mixed boundary value problem in potential theory for a bi-material porous region: an application in the environmental geosciences. Math Mech Complex Syst. doi:10.2140/memocs.2014.2.109

    Google Scholar 

  • Selvadurai APS, Carnaffan P (1997) A transient pressure pulse technique for the measurement of permeability of a cement grout. Can J Civil Eng 24:489–502

    Article  Google Scholar 

  • Selvadurai APS, Głowacki A (2008) Evolution of permeability hysteresis of Indiana limestone during isotropic compression. Ground Water 46:113–119

    Google Scholar 

  • Selvadurai APS, Gopal KR (1988) Consolidation settlement of interacting structural foundations. In: Swoboda G (ed) Proceedings of the 6th international conference on numerical methods in geomechanics, vol 1, pp 665–674. Innsbruck, Austria, A.A. Balkema, The Netherlands

  • Selvadurai APS, Jenner L (2012) Radial flow permeability testing of an argillaceous limestone. Ground Water 51:100–107

    Article  Google Scholar 

  • Selvadurai APS, Najari M (2013) On the interpretation of hydraulic pulse tests on rock specimens. Adv Water Resour 53:139–149

    Article  Google Scholar 

  • Selvadurai PA, Selvadurai APS (2007) On cavity flow permeability testing of a sandstone. Ground Water 45:93–97

    Article  Google Scholar 

  • Selvadurai APS, Selvadurai PA (2010) Surface permeability tests: experiments and modelling for estimating effective permeability. Proc R Soc A-Math Phys 466:2819–2846

    Article  Google Scholar 

  • Selvadurai PA, Selvadurai APS (2014) On the effective permeability of a heterogeneous porous medium: the role of the geometric mean. Philos Mag 94(20):2318–2338. doi:10.1080/14786435.2014.913111

    Article  Google Scholar 

  • Selvadurai APS, Suvorov AP (2012) Boundary heating of poroelastic and poro-elastoplastic spheres. Proc R Soc A-Math Phys 468:2779–2806. doi:10.1098/rspa.2012.0035

    Article  Google Scholar 

  • Selvadurai APS, Suvorov AP (2014) Thermo-poromechanics of a fluid filled cavity in a fluid-saturated geomaterial. Proc R Soc A-Math Phys 470:1471–2946. doi:10.1098/rspa.2013.0634

    Article  Google Scholar 

  • Selvadurai APS, Boulon MJ, Nguyen TS (2005) The permeability of an intact granite. Pure Appl Geophys 162:373–407

    Article  Google Scholar 

  • Selvadurai APS, Letendre A, Hekimi B (2011) Axial flow hydraulic pulse testing of an argillaceous limestone. Environ Earth Sci 64(8):2047–2058

    Article  Google Scholar 

  • Selvadurai APS, Suvorov AP, Selvadurai PA (2014) Thermo-hydro-mechanical processes in fractured rock formations during glacial advance. Geosci Model Dev Discuss 7:7352–7394

    Article  Google Scholar 

  • Srivastava R, Yeh TCJ (1991) Analytical solutions for one-dimensional, transient infiltration toward the water table in homogeneous and layered soils. Water Resour Res 27:753–762

    Article  Google Scholar 

  • Tsai TL, Wang JK (2011) Examination of influences of rainfall patterns on shallow landslides due to dissipation of matric suction. Environ Earth Sci 63:65–75

    Article  Google Scholar 

  • van Gaalen JF, Kruse S, Lafrenz WB, Burroughs SM (2013) Predicting water table response to rainfall events, central Florida. Ground Water 51(3):350–362

    Google Scholar 

  • van Genuchten MY (1980) A closed form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44:892–898

    Article  Google Scholar 

  • Wu LZ, Zhang LM (2009) Analytical solution to 1D coupled water infiltration and deformation in unsaturated soils. Int J Numer Anal Methods Geomech 33(6):773–790

    Article  Google Scholar 

  • Wu LZ, Zhang LM, Huang RQ (2012a) Analytical solution to 1D coupled water infiltration and deformation in two-layer unsaturated soils. Int J Numer Anal Methods 36:798–816

    Article  Google Scholar 

  • Wu LZ, Huang RQ, Xu Q (2012b) Incorporating hysteresis in one-dimensional seepage modeling in unsaturated soils. KSCE J Civ Eng 16(1):69–77

    Article  Google Scholar 

  • Wu LZ, Selvadurai APS, Huang RQ (2013) Two-dimensional coupled hydromechanical modeling of water infiltration into a transversely isotropic unsaturated soil region. Vadose Zone J. doi:10.2136/vzj2013.04.0072

    Google Scholar 

  • Yang YB, Hung HH (2001) A 2.5D finite/infinite element approach for modelling visco-elastic bodies subjected to moving loads. Int J Numer Methods Eng 51(11):1317–1336

    Article  Google Scholar 

  • Zhan LT, Ng CWW (2004) Analytical analysis of rainfall infiltration mechanism in unsaturated soils. Int J Geomech 4:273–284

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to express their thanks to M.E. Bin’e Li of CDUT for performing some of the calculations associated with this work. We thank the Basic Research Program of China (No. 2013CB733202), NSERC, the National Natural Science Foundation of China (Nos. 41172280, 41272005), Excellent Youth Foundation of Sichuan Scientific Committee (No. 2012JQ0007). The first author would also like to thank the Environmental Geomechanics Research Group of the Department of Civil Engineering and Applied Mechanics, McGill University, for the hospitality during a research visit. The first author thanks the Innovative Team of the Chengdu University of Technology. The authors are grateful to the substantial constructive comments made by the reviewers.

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Correspondence to L. Z. Wu.

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Wu, L.Z., Selvadurai, A.P.S. Rainfall infiltration-induced groundwater table rise in an unsaturated porous medium. Environ Earth Sci 75, 135 (2016). https://doi.org/10.1007/s12665-015-4890-9

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