Capillary rise method for the measurement of the contact angle of soils

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• 作者：Zhen Liu ; Xiong Yu ; Lin Wan
• 关键词：Capillary rise method ; Contact angle ; Lucas–Washburn equation ; Soil water characteristic curve
• 刊名：Acta Geotechnica
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：11
• 期：1
• 页码：21-35
• 全文大小：1,040 KB
• 参考文献：1.Abu-Zreig M, Rudra RP, Dickinson WT (2003) Effect of application of surfactants on hydraulic properties of soils. Biosyst Eng 84(3):363–372CrossRef
  2.Adamson AW (1990) Physical chemistry of surfaces, 5th edn. Wiley, New York
  3.Anderson MA, Hung AYC, Mills D, Scott MS (1995) Factors the affecting the surface tension of soil solutions and solutions of humic acids. Soil Sci 160:111–116CrossRef
  4.Arya LM, Paris JF (1981) A physicoempirical model to predict soil moisture characteristics from particle-size distribution and bulk density data. Soil Sci Soc Am J 45:1023–1030CrossRef
  5.Bachmann J, van der Ploeg RR (2002) A review on recent developments in soil water retention theory: interfacial tension and temperature effects. J Plant Nutr Soil Sci 165(4):468–478CrossRef
  6.Bachmann J, Horton R, van der Ploeg RR, Woche SK (2000) Modified sessile drop method for assessing initial soil–water contact angle of sandy soil. Soil Sci Soc Am J 64:564–567CrossRef
  7.Bachmann J, Woche SK, Goebel M-O, Kirkham MB, Horton R (2004) Extended methodology for determining wetting properties of porous media. Water Resour Res 39(12):1353
  8.Barry DA, Parlange J-Y, Li L, Prommer H, Cunningham CJ, Stagnitti F (2000) Analytical approximations for real values of the Lambert W-function. Math Comput Simul 53:95–103CrossRef MathSciNet
  9.Bikerman JJ (1950) Surface roughness and contact angle. J Phys Chem 54:653–658CrossRef
  10.Czachor H (2006) Modelling the effect of pore structure and wetting angles on capillary rise in soils having different wettabilities. J Hydrol 328:604–613CrossRef
  11.Czachor H (2007) Applicability of the Washburn theory for determining the wetting angle of soils. Hydrol Process 21(17):2239–2247
  12.De Jonge LW, Jacobsen OH, Moldrup P (1999) Soil water repellency: effects of water content, temperature, and particle size. Soil Sci Soc Am J 63:437–442CrossRef
  13.Dekker LW, Ritsema CJ (2000) Wetting patterns and moisture variability in water repellent Dutch soils. J Hydrol 231:148–164CrossRef
  14.Doerr SH, Shakesby RA, Walsh RPD (2000) Soil water repellency: its causes, characteristics and hydro-geomorphological significance. Earth Sci Rev 51:33–65CrossRef
  15.Drelich J, Miller JD (1994) The effect of solid surface heterogeneity and roughness on the contact angle/drop (bubble) size relationship. J Colloid Interface Sci 164:252–259CrossRef
  16.Ducarior J, Lamy I (1995) Evidence of trace metal association with soil organic matter using particle size fractionation after physical dispersion treatment. Analyst 120:741–745CrossRef
  17.Dullien FAL, El-Sayed MS, Batra VK (1977) Rate of capillary rise in porous media with nonuniform pores. J Colloid Sci 60:497–506CrossRef
  18.Fredlund DG, Xing A (1994) Equations for the soil-water characteristic curve. Can Geotech J 31(4):521–532. doi:10.​1139/​t94-061 CrossRef
  19.Fries N, Dreyer M (2008) An analytic solution of capillary rise restrained by gravity. J Colloid Interface Sci 320:259–263CrossRef
  20.Fries N, Dreyer M (2008) The transition from inertial to viscous flow in capillary rise. J Colloid Interface Sci 327:125–128CrossRef
  21.Friess BR, Hoorfar M (2010) Measurement of internal wettability of gas diffusion porous media of proton exchange membrane fuel cells. J Power Sources 195:4736–4742CrossRef
  22.Geobel M-O, Bachmann J, Woche SK, Fischer WR, Horton R (2004) Water potential and aggregate size effects on contact angle and surface energy. Soil Sci Soc Am J 68:383–393CrossRef
  23.Grant SA, Bachmann J (2002) Effect of temperature on capillary pressure. Geophys Monogr 129:199–212
  24.Grant SA, Salehzadeh A (1996) Calculation of temperature effects on wetting coefficients of porous solids and their capillary pressure functions. Water Resour Res 32(2):261–270CrossRef
  25.Grundke K (2002) Wetting, spreading and penetration. In: Holmberg K (ed) Handbook of applied surface and colloid chemistry. Wiley, London
  26.Gurau V, Mann JA (2010) Technique for characterization of the wettability properties of gas diffusion media for proton exchange membrane fuel cells. J Colloid Interface Sci 350(2):577–580CrossRef
  27.Hamraoui A, Nylander T (2002) Analytical approach for the Lucas–Washburn equation. J Colloid Interface Sci 250:415–421CrossRef
  28.King PM (1981) Comparison of methods for measuring severity of water repellence of sandy soils and assessment of some factors that affect its measurement. Aust J Soil Res 19:275–285CrossRef
  29.Kruss Tensiometer 100 Instruction Manual V020715, Kruss Gmbh, Hamburg, 2001
  30.Kubiak KJ, Wilson MCT, Mathia TG, Carval PH (2010) Wettability versus roughness of engineering surfaces. Wear 271(3–4):523–528
  31.Letey J (1969) Measurement of contact angle, water drop penetration time, and critical surface tension. In: DeBano LF, Letey J (eds) Proceedings of symposium on water–repellent soils. University of California, Riverside, pp 43–47
  32.Letey J, Osborn J, Pelishek RE (1962) Measurement of liquid solid contact angles in soil and sand. Soil Sci 93:149–153CrossRef
  33.Levine S, Lowndes J, Watson EJ, Neale G (1980) A theory of capillary rise of a liquid in a vertical cylindrical tube and in a parallel-plate channel Washburn equation modified to account for the meniscus with slippage at the contact line. J Colloid Interface Sci 73(1):136–151CrossRef
  34.Likos WJ, Lu N (2004) Hysteresis of capillary stress in unsaturated granular soil. J Eng Mech 130(6):646–655CrossRef
  35.Liu Z, Yu X, Wan L (2013) Influence of contact angle on soil–water characteristic curve with modified capillary rise method. Transp Res Rec J Transp Res Board 2349(1):32–40CrossRef
  36.Lu N, Likos WJ (2004) Unsaturated soil mechanics. Wiley, New York
  37.Lu N, Likos WJ (2004) Rate of capillary rise. J Geotech Geoenviron Eng 130:464
  38.Lucas R (1918) Rate of capillary ascension of liquids. Kolloid Z 23:15CrossRef
  39.Medici E, Allen J (2011) Scaling percolation in thin porous layers. Phys Fluids 23(12):122107CrossRef
  40.McGhie DA, Posner AM (1980) Water repellence of a heavy-textured Western Australian surface soil. Aust J Soil Res 18:309–323CrossRef
  41.Michel J-C, Riviere L-M, Bellon-Fontaine M-N (2001) Measurement of the wettability of organic materials in relation to water content by the capillary rise method. Eur J Soil Sci 52:459–467CrossRef
  42.Morrow NR (1970) Physics and thermodynamics of capillary. Ind Eng Chem 62(6):32–56CrossRef
  43.Niggemann J (1970) Versuchezur Messung der Benetzungsfa higke von Torf. Torfnachrichten 20:14–18
  44.Oades JM (1988) The retention of organic matter in soils. Biogeochemistry 5(1):35–70CrossRef
  45.Popescu MN, Ralston J, Sedev R (2008) Capillary rise with velocity-dependent dynamic contact angle. Langmuir 24:12710–12716CrossRef
  46.Quere D (2008) Wetting and roughness. Annu Rev Mater Res 38:71–99CrossRef
  47.Ramirez-Flores J, Woche SK, Bachmann J, Goebel M-O, Hallett PD (2008) Comparing capillary rise contact angles of soil aggregates and homogenized soil. Geoderma 146:336–343CrossRef
  48.Ramon-Torregrosa PJ, Rodriguez-Valverde MA, Amirfazli A, Cabrerizo-Vilchez MA (2008) Factors affecting the measurement of roughness factor of surfaces and its implications for wetting studies. Colloids Surf A Physicochem Eng Asp 323:83–93CrossRef
  49.Reeker R (1954) Die Benetzungsfa higkeit von Torfmull. Torfnachrichten 7:15–16
  50.Ryan BJ, Poduska KM (2008) Roughness effects on contact angle measurements. Am J Phys 76(11):1074–1077CrossRef
  51. Schoelkopf J, Gane PAC, Ridgway CJ, Matthews CP (2002) Practical observation of deviation from Lucas–Washburn scaling in porous media. Colloids Surf A Physicochem Eng Asp 206(1–3):445–454
  52.Siebold A, Nardin M, Schultz J, Walliser A, Oppliger M (2000) Effect of dynamic contact angle on capillary rise phenomena. Colloids Surf A 161:81–87CrossRef
  53.Siebold A, Walliser A, Nardin M, Oppliger M, Schultz J (1997) Capillary rise for thermodynamic characterization of solid particle surface. J Colloid Interface Sci 186:60–70CrossRef
  54.Stange M, Dreyer ME, Rath HJ (2003) Capillary driven flow in circular cylindrical tubes. Phys Fluids 15(9):2587–2601CrossRef
  55.Tamai Y, Aratani K (1972) Experimental study of the relation between contact angle and surface roughness. J Phys Chem 76(22):3267–3271CrossRef
  56.Terzaghi K (1943) Theoretical soil mechanics. Wiley, New YorkCrossRef
  57.Tuller M, Or D, Dudley LM (1999) Adsorption and capillary condensation in porous media: liquid retention and interfacial configurations in angular pores. Water Resour Res 35(7):1949–1964CrossRef
  58.Vorvort RW, Cattle SR (2003) Linking hydraulic conductivity and tortuosity parameters to pore space geometry and pore-size distribution. J Hydrol 272:36–49CrossRef
  59.Washburn EW (1921) The dynamics of capillary flow. Phys Rev XVII 3:273–283CrossRef
  60.Wenzel RN (1936) Resistance of solid surfaces to wetting by water. Ind Eng Chem 28(8):988–994CrossRef
  61.Xue HT, Fang ZN, Yang Y, Huang JP, Zhou LW (2006) Contact angle determined by spontaneous dynamic capillary rises with hydrostatic effects: experiment and theory. Chem Phys Lett 432:326–330CrossRef
  62.Zhmud BV, Tiberg F, Hallstensson K (2000) Dynamics of capillary rise. J Colloid Interface Sci 22(8):263–269CrossRef
  
• 作者单位：Zhen Liu (1)
  Xiong Yu (2)
  Lin Wan (3)
  
  1. Department of Civil Engineering and Environmental Engineering, Michigan Technological University, 1400 Townsend Drive, Dillman 201F, Houghton, MI, 49931, USA
  2. Department of Civil Engineering, Case Western Reserve University, 10900 Euclid Avenue, Bingham 206, Cleveland, OH, 44106-7201, USA
  3. Department of Civil Engineering, Case Western Reserve University, 10900 Euclid Avenue, Bingham 259, Cleveland, OH, 44106-7201, USA
  
• 刊物类别：Engineering
• 刊物主题：Continuum Mechanics and Mechanics of Materials
  Geotechnical Engineering
  Soil Science and Conservation
  Granular Media
  Structural Mechanics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1861-1133

文摘

The contact angle quantitatively describes the contact on the liquid–solid interface and is thus critical to many physical processes involving interactions between soils and water. However, the role of the contact angle in soils is far from being adequately recognized. This paper reports a comprehensive study on the application of the capillary rise method (CRM) to measure the contact angles of soils. The deviations of analytical solutions to various forms of the Lucas–Washburn equation were presented to offer a detailed study on the theoretical basis for applying CRM to soils, which is absent in existing studies. The disadvantages of the conventional CRM investigations were demonstrated with experiments. Based on a comparative study, a modified CRM was proposed based on the analytical solution to one form of the Lucas–Washburn equation. This modified CRM exhibited a reliable performance on numerous unsieved and sieved (different average particle sizes) specimens made of a subgrade soil and a silicon dioxide sand. Procedures for the specimen preparation were designed and strictly followed, and innovative apparatuses for the preparation, transport, and accommodation of soil specimens were fabricated to ensure repeatability. For the modified CRM, experimental results for unsieved specimens exhibited good repeatability, while for sieved soils, clear trends were observed in the variations of the contact angle with particle size. Contact angles much greater than zero were observed for all of the tested soil specimens. The results indicate that the assumption of perfect wettability, which is adopted in many existing geotechnical studies involving the contact angle, is unrealistic. Keywords Capillary rise method Contact angle Lucas–Washburn equation Soil water characteristic curve