Direct measurement method and prediction formula for permeability coefficient of unsaturated soils

SHAO Long-tan; WEN Tian-de; GUO Xiao-xia

doi:10.11779/CJGE201905002

Volume 41 Issue 5

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Chinese Journal of Geotechnical Engineering > 2019 > 41(5): 806-812. > DOI: 10.11779/CJGE201905002

SHAO Long-tan, WEN Tian-de, GUO Xiao-xia. Direct measurement method and prediction formula for permeability coefficient of unsaturated soils[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(5): 806-812. DOI: 10.11779/CJGE201905002

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Direct measurement method and prediction formula for permeability coefficient of unsaturated soils

1. Department of Engineering Mechanics, Dalian University of Technology, Dalian 116085, China;
2. State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian 116085, China

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Received Date: July 08, 2018
Published Date: May 24, 2019

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Abstract

Various measurement methods and prediction models for the permeability coefficient of unsaturated soils are summarized. A method for measuring the permeability coefficient and a prediction model are proposed. This measurement method, based on the multistep outflow method, can measure the soil-water characteristic curve and the water content of the soil samples in real time. In this method, the increment of gas pressure potential is divided into two parts: one part overcomes the osmotic resistance and drives pore water, the other balances the surface tension of hydrostatic equilibrium conditions and converts it into matrix potential, then, the permeability coefficient can be obtained by the Darcy's law. On the other hand, the predicted model is derived based on the equilibrium equation of the water phase. Only one parameter is required, and this parameter can be more easily obtained by using the permeability tests on saturated soils with different porosity values. A number of test results in the literatures are employed to validate the proposed measurement method and predicted model, and they indicates good agreement with the experimental data.
- unsaturated soil,
- permeability coefficient,
- multistep outflow method

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[1]	ABUHEJLEH A N, ZNIDARCIC D, ILLANGASEKARE T H.Permeability determination for unsaturated soils[C]// Unsaturated Soils, ASCE. 1993: 163-174.
[2]	VEREECKEN H, KAISER R, DUST M, et al.Evaluation of the multistep outflow method for the determination, of unsaturated hydraulic properties of soils[J]. Soil Science, 1997, 162(9): 618-631.
[3]	BENSON C H, GRIBB M M.Measuring unsaturated hydraulic conductivity in the laboratory and field[J]. Geotechnical Special Publication, 1997, 68: 113-168.
[4]	MEERDINK J S, BENSON C H, KHIRE M V.Unsaturated hydraulic conductivity of two compacted barrier soils[J]. Journal of Geotechnical Engineering, 1996, 122(7): 565-576.
[5]	RAIMBAULT G.Diffusivite et conductivite hydrauliques de materiaux ou sols non satures en eau-mesure en laboratoire[J]. Bull Liaison Lab Ponts Chauss, 1986, 145: 61-68.
[6]	ELZEFTAWY A, MANSELL R S.Hydraulic conductivity calculations for unsaturated steady-state and transient-state flow in sand[J]. Soil Science Society of America Journal, 1975, 39(4): 599-603.
[7]	KLUTE A.The determination of the hydraulic conductivity and diffusivity of unsaturated soils1[J]. Soil Science, 1992, 113(4): 264-276.
[8]	GARDNER W R.Calculation of capillary conductivity from pressure plate outflow data[J]. Soil Science Society of America Journal, 1956, 20(3): 317-320.
[9]	MCCARTNEY J S, VILLAR L, ZORNBERG J G.Estimation of the hydraulic conductivity function of an unsaturated clay using an infiltration column test[C]// Proceedings of 6th Brazilian Conference on Unsaturated Soils (NSAT), UFBA. Salvador, 1981:1-8.
[10]	OLSON R, DANIEL D.Measurement of the hydraulic conductivity of fine grained soils[R]// Permeability and groundwater contaminant transport (ASTM STP 746). West Conshohoken: ASTM, 1981.
[11]	WATSON K.An instantaneous profile method for determining the hydraulic conductivity of unsaturated porous materials[J]. Water Resources Research, 1966, 2(4): 709-715.
[12]	MILLER E E, ELRICK D E.Dynamic determination of capillary conductivity extended for non-negligible membrane impedance1[J]. Soil Science Society of America Journal, 1958, 22(6): 483-486.
[13]	RIJTERNA P E.Calculation of capillary conductivity from pressure plate outflow data with nonnegligible membrane impedance. Institute for Land and Water Management[J]. Netherlands Journal of Agricultural Science, 1959, 7: 209-215.
[14]	KUNZE R J, KIRKHAM D.Simplified accounting for membrane impedance in capillary conductivity determinations[J]. Soil Science Society of America Journal, 1962, 26(5): 421-426.
[15]	DAM J C V, STRICKER J N M, DROOGERS P. Inverse method to determine soil hydraulic functions from multistep outflow experiments[J]. Soil Science Society of America Journal, 1994, 58(3): 647-652.
[16]	CRESCIMANNO G, IOVINO M.Parameter estimation by inverse method based on one-step and multi-step outflow experiments[J]. Geoderma, 1995, 68(4): 257-277.
[17]	HWANG S, POWERS S E.Using a multi-step outflow technique to estimate unsaturated hydraulic conductivity function for quartz sands with variable interfacial properties[C]// Presented at the annual AGU conference. San Francisco, 2001.
[18]	FIGUERAS J, GRIBB M M, MCNAMARA J P.Design of a new automated multi-step outflow test apparatus[C]// Presented at the AGU Fall Meeting. San Francisco, 2006.
[19]	PARKS J M, STEWART M A, MCCARTNEY J S.Validation of a centrifuge permeameter for investigation of transient infiltration and drainage flow processes in unsaturated soils[J]. ASTM Geotechnical Testing Journal, 2012, 35(1): 182-192.
[20]	BREITMEYER R J, BENSON C H.Measurement of unsaturated hydraulic properties of municipal solid waste[J]. Geotechnical Special Publication, 2011, 211: 1433-1442.
[21]	MINASNY B, HOPMANS J W, HARTER T, et al.Neural networks prediction of soil hydraulic functions for alluvial soils using multistep outflow data[J]. Soil Science Society of America Journal, 2004, 68(2): 417-429.
[22]	VEREECKEN H, MAES J, FEYEN J.Estimating unsaturated hydraulic conductivity from easily measured soil properties[J]. Soil Science, 1990, 149(1): 1-12.
[23]	MUALEM Y, DAGAN G.Hydraulic conductivity of soils: Unified approach to the statistical models[J]. Soil Science Society of America Journal, 1978, 42(3): 392-395.
[24]	FREDLUND D G, XING A.Equations for the soil-water characteristic curve[J]. Canadian Geotechnical Journal, 1994, 31(4): 521-532.
[25]	LEONG E C, RAHARDJO H.Permeability functions for unsaturated soils[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1997, 123(12): 1118-1126.
[26]	CAI G, ZHOU A, SHENG D.Permeability function for unsaturated soils with different initial densities[J]. Canadian Geotechnical Journal, 2014, 51(12): 1456-1467.
[27]	AHUJA L R, GREEN R E, CHONG S K, NIELSEN D R.A simplified functions approach for determining soil hydraulic conductivities and water characteristics in situ[J]. Water Resources Research, 1980, 16(5): 947-953.
[28]	PHILIP J R.Linearized unsteady multidimensional infiltration[J]. Water Resources Research, 1986, 22(12): 1717-1727.
[29]	DANE J H, KLUTE A.Salt effects on the hydraulic properties of a swelling soil[J]. Soil Science Society of America Journal, 1977, 41(6): 1043-1049.
[30]	GILLHAM R W, KLUTE A, HEERMANN D F.Hydraulic properties of a porous medium: measurement and empirical representation[J]. Soil Science Society of America Journal, 1976, 40(2): 203-207.
[31]	DAVIDSON J M, STONE L R, NIELSEN D R, et al.Field measurement and use of soil-water properties[J]. Water Resources Research, 1969, 5(6): 1312-1321.
[32]	BROOKS R H, COREY A T.Hydraulic properties of porous media[R]. Fort Collins: Colorado State University, 1964: 24-37.
[33]	CHILDS E C, COLLIS-GEORGE N.The permeability of porous materials[J]. Proceedings of the Royal Society of London Ser A, 1950, 201(1066): 392-405.
[34]	VAN GENUCHTEN M T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils[J]. Soil Science Society of America Journal, 1980, 44(5): 892-898.
[35]	AGUS S S, LEONG E C, SCHANZ T.Assessment of statistical models for indirect determination of permeability functions from soil-water characteristic curves[J]. Géotechnique, 2003, 53(2): 279-282.
[36]	MUALEM Y.A new model for predicting the hydraulic conductivity of unsaturated porous media[J]. Water Resources Research, 1976, 12(3): 513-522.
[37]	NÜTZMANN G, THIELE M, MACIEJEWSKI S, et al. Inverse modelling techniques for determining hydraulic properties of coarse-textured porous media by transient outflow methods[J]. Advances in Water Resources, 1998, 22(3): 273-284.
[38]	CHEN J, HOPMANS J W, GRISMER M E.Parameter estimation of two-fluid capillary pressure-saturation and permeability functions[J]. Advances in Water Resources, 1999, 22(5): 479-493.
[39]	CRESCIMANNO G, GAROFALO P.Application and evaluation of the swap model for simulating water and solute transport in a cracking clay soil[J]. Soil Science Society of America Journal, 2006, 70(5): 1943-1954.
[40]	GNATOWSKI T, SZATYLOWICZ J, BRANDYK T.Hydraulic properties of fen peat soils in Poland[J]. Geoderma, 2010, 154(3): 188-195.
[41]	MBOH C M, HUISMAN J A, VAN G N, et al.Coupled hydrogeophysical inversion of elecrical resitances and inflow measurements for topsoil hydraulic properties under constant head infiltration[J]. Near Surface Geophysics, 2012, 10(5): 1-14.
[42]	LAZRANG T, KACEM M, SGHAIER J, et al.A determination of unsaturated hydraulic properties using drainage gravity test and particle swarm optimization algorithm[J]. Journal of Porous Media, 2013, 16(16): 1025-1034.
[43]	RAHIMI A, RAHARDJO H, LEONG E C.Effect of range of soil-water characteristic curve measurements on estimation of permeability function[J]. Engineering Geology, 2015, 185: 96-104.
[44]	WEN T D, SHAO L T, GUO X X.A new setup to measure hydraulic properties of unsaturated soils[C]// Proceedings of China-Europe Conference on Geotechnical Engineering, Vienna, 2018: 1644-1648.
[45]	SHAO L, WEN T, GUO X, et al.A method for directly measuring the hydraulic conductivity of unsaturated soil[J]. Geotechnical Testing Journal, 2017, 40(6): 907-916.
[46]	WEN T, SHAO L, GUO X.Rapidly determining the unsaturated permeability by transient two-steps outflow experiment[C]// GeoShanghai International Conference. Shanghai, 2018: 228-235.
[47]	WEN T D, SHAO L T, GUO X X.Permeability function for unsaturated soil[J]. European Journal of Environmental and Civil Engineering, 2018. (doi:10.oi:10.1080/19648189.2018. 1515666)
[48]	邵龙潭. 土力学研究与探索——土力学理论新体系5讲[M]. 北京: 科学出版社, 2012. (SHAO Long-tan.Research and exploration of soil mechanics-5 lectures in the new system of soil mechanics theory[M]. Beijing: Science Press, 2012. (in Chinese))
[49]	SHAO L, GUO X, LIU S, et al.Effective stress and equilibrium equation for soil mechanics[M]. London: CRC Press, 2017.
[50]	LALIBERTE G E, COREY A T, BROOKS R H.Properties of unsaturated porous media, (Hydrology Paper No 17)[R]. Fort Collins: Colorado State University, 1966.

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