Skip to main content
Log in

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

  • Research Paper
  • Published:
Acta Geotechnica Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Abu-Zreig M, Rudra RP, Dickinson WT (2003) Effect of application of surfactants on hydraulic properties of soils. Biosyst Eng 84(3):363–372

    Article  Google Scholar 

  2. Adamson AW (1990) Physical chemistry of surfaces, 5th edn. Wiley, New York

    Google Scholar 

  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 160:111–116

    Article  Google Scholar 

  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 45:1023–1030

    Article  Google Scholar 

  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):468–478

    Article  Google Scholar 

  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 64:564–567

    Article  Google Scholar 

  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

    Google Scholar 

  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 53:95–103

    Article  MathSciNet  Google Scholar 

  9. Bikerman JJ (1950) Surface roughness and contact angle. J Phys Chem 54:653–658

    Article  Google Scholar 

  10. Czachor H (2006) Modelling the effect of pore structure and wetting angles on capillary rise in soils having different wettabilities. J Hydrol 328:604–613

    Article  Google Scholar 

  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 63:437–442

    Article  Google Scholar 

  13. Dekker LW, Ritsema CJ (2000) Wetting patterns and moisture variability in water repellent Dutch soils. J Hydrol 231:148–164

    Article  Google Scholar 

  14. Doerr SH, Shakesby RA, Walsh RPD (2000) Soil water repellency: its causes, characteristics and hydro-geomorphological significance. Earth Sci Rev 51:33–65

    Article  Google Scholar 

  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 164:252–259

    Article  Google Scholar 

  16. Ducarior J, Lamy I (1995) Evidence of trace metal association with soil organic matter using particle size fractionation after physical dispersion treatment. Analyst 120:741–745

    Article  Google Scholar 

  17. Dullien FAL, El-Sayed MS, Batra VK (1977) Rate of capillary rise in porous media with nonuniform pores. J Colloid Sci 60:497–506

    Article  Google Scholar 

  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

    Article  Google Scholar 

  19. Fries N, Dreyer M (2008) An analytic solution of capillary rise restrained by gravity. J Colloid Interface Sci 320:259–263

    Article  Google Scholar 

  20. Fries N, Dreyer M (2008) The transition from inertial to viscous flow in capillary rise. J Colloid Interface Sci 327:125–128

    Article  Google Scholar 

  21. Friess BR, Hoorfar M (2010) Measurement of internal wettability of gas diffusion porous media of proton exchange membrane fuel cells. J Power Sources 195:4736–4742

    Article  Google Scholar 

  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 68:383–393

    Article  Google Scholar 

  23. Grant SA, Bachmann J (2002) Effect of temperature on capillary pressure. Geophys Monogr 129:199–212

    Google Scholar 

  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):261–270

    Article  Google Scholar 

  25. Grundke K (2002) Wetting, spreading and penetration. In: Holmberg K (ed) Handbook of applied surface and colloid chemistry. Wiley, London

    Google Scholar 

  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):577–580

    Article  Google Scholar 

  27. Hamraoui A, Nylander T (2002) Analytical approach for the Lucas–Washburn equation. J Colloid Interface Sci 250:415–421

    Article  Google Scholar 

  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 19:275–285

    Article  Google Scholar 

  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

    Google Scholar 

  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

    Google Scholar 

  32. Letey J, Osborn J, Pelishek RE (1962) Measurement of liquid solid contact angles in soil and sand. Soil Sci 93:149–153

    Article  Google Scholar 

  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):136–151

    Article  Google Scholar 

  34. Likos WJ, Lu N (2004) Hysteresis of capillary stress in unsaturated granular soil. J Eng Mech 130(6):646–655

    Article  Google Scholar 

  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):32–40

    Article  Google Scholar 

  36. Lu N, Likos WJ (2004) Unsaturated soil mechanics. Wiley, New York

    Google Scholar 

  37. Lu N, Likos WJ (2004) Rate of capillary rise. J Geotech Geoenviron Eng 130:464

    Google Scholar 

  38. Lucas R (1918) Rate of capillary ascension of liquids. Kolloid Z 23:15

    Article  Google Scholar 

  39. Medici E, Allen J (2011) Scaling percolation in thin porous layers. Phys Fluids 23(12):122107

    Article  Google Scholar 

  40. McGhie DA, Posner AM (1980) Water repellence of a heavy-textured Western Australian surface soil. Aust J Soil Res 18:309–323

    Article  Google Scholar 

  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 52:459–467

    Article  Google Scholar 

  42. Morrow NR (1970) Physics and thermodynamics of capillary. Ind Eng Chem 62(6):32–56

    Article  Google Scholar 

  43. Niggemann J (1970) Versuchezur Messung der Benetzungsfa higke von Torf. Torfnachrichten 20:14–18

    Google Scholar 

  44. Oades JM (1988) The retention of organic matter in soils. Biogeochemistry 5(1):35–70

    Article  Google Scholar 

  45. Popescu MN, Ralston J, Sedev R (2008) Capillary rise with velocity-dependent dynamic contact angle. Langmuir 24:12710–12716

    Article  Google Scholar 

  46. Quere D (2008) Wetting and roughness. Annu Rev Mater Res 38:71–99

    Article  Google Scholar 

  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 146:336–343

    Article  Google Scholar 

  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 323:83–93

    Article  Google Scholar 

  49. Reeker R (1954) Die Benetzungsfa higkeit von Torfmull. Torfnachrichten 7:15–16

    Google Scholar 

  50. Ryan BJ, Poduska KM (2008) Roughness effects on contact angle measurements. Am J Phys 76(11):1074–1077

    Article  Google Scholar 

  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 161:81–87

    Article  Google Scholar 

  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 186:60–70

    Article  Google Scholar 

  54. Stange M, Dreyer ME, Rath HJ (2003) Capillary driven flow in circular cylindrical tubes. Phys Fluids 15(9):2587–2601

    Article  Google Scholar 

  55. Tamai Y, Aratani K (1972) Experimental study of the relation between contact angle and surface roughness. J Phys Chem 76(22):3267–3271

    Article  Google Scholar 

  56. Terzaghi K (1943) Theoretical soil mechanics. Wiley, New York

    Book  Google Scholar 

  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):1949–1964

    Article  Google Scholar 

  58. Vorvort RW, Cattle SR (2003) Linking hydraulic conductivity and tortuosity parameters to pore space geometry and pore-size distribution. J Hydrol 272:36–49

    Article  Google Scholar 

  59. Washburn EW (1921) The dynamics of capillary flow. Phys Rev XVII 3:273–283

    Article  Google Scholar 

  60. Wenzel RN (1936) Resistance of solid surfaces to wetting by water. Ind Eng Chem 28(8):988–994

    Article  Google Scholar 

  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 432:326–330

    Article  Google Scholar 

  62. Zhmud BV, Tiberg F, Hallstensson K (2000) Dynamics of capillary rise. J Colloid Interface Sci 22(8):263–269

    Article  Google Scholar 

Download references

Acknowledgments

The authors acknowledge Dr. Adin Mann in the Department of Chemical Engineering at Case Western Reserve University for the inspiring discussions on contact angle measurements with the CRM and the access to the surface engineering instruments. We also thank Dr. Vladimir Gurau for the laboratory orientation and for sharing MATLAB code for data processing.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiong Yu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, Z., Yu, X. & Wan, L. Capillary rise method for the measurement of the contact angle of soils. Acta Geotech. 11, 21–35 (2016). https://doi.org/10.1007/s11440-014-0352-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11440-014-0352-x

Keywords

Navigation