Shrinkage curve and its role in estimating unsaturated shear strength and permeability functions for a weathered soil

An Tran Thi Phuong; Delwyn G.  Fredlund; Thien Do Quang

doi:10.15625/2615-9783/24406

Author affiliations

Authors

Thi Phuong An Tran University of Sciences, Hue University, Hue City, Vietnam
Delwyn G. Fredlund University of Saskatchewan, Saskatoon, Saskatchewan, Canada
Do Quang Thien University of Sciences, Hue University, Hue City, Vietnam

DOI:

https://doi.org/10.15625/2615-9783/24406

Keywords:

Shrinkage curve, shrinkage limit, soil-water characteristic curve, unsaturated soil functions

Abstract

The soil shrinkage curve (SC) and the shrinkage limit are important for assessing the impact of volume change as soil dries. The SC is used to calculate the degree of saturation from the soil-water characteristic curve (S-SWCC) and is subsequently used to estimate other unsaturated soil property functions, such as shear strength and hydraulic conductivity. The present research aims are to: (1) identify the most appropriate parameters for the estimation for the SC without conducting a SC test, (2) investigate the effect of the initial compaction degree, characterized by void ratio and dry density, on the SC, and (3) emphasize the role of SC as it relates to the unsaturated shear strength and permeability functions. To achieve these objectives, the SC and SWCC tests were conducted on a weathered soil sample collected from a natural landslide slope along Route 74 connecting A Luoi and Nam Dong in Hue, Vietnam. The findings show that the SC can be predicted using empirical equations, thereby negating the need for direct SC testing. Unsaturated soil functions can be estimated from the SC and S-SWCC.

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References

ASTM-D2487, 2025. Standard Practice for Classification of Soils for Engineering Purposes (Unified Soil Classification System). ASTM International West Conshohocken, PA.

ASTM-D4318, 2017. Standard Test Methods for Liquid Limit, Plastic Limit, and Plasticity Index of Soils. ASTM International West Conshohocken, PA.

ASTM-D6836, 2016. Standard test methods for determination of the soil water characteristic curve for desorption using a hanging column, pressure extractor, chilled mirror hygrometer, and/or centrifuge. ASTM International West Conshohocken, PA.

ASTM-D6913, 2009. Standard Test Methods for Particle-Size Distribution (Gradation) of Soils Using Sieve Analysis. ASTM International West Conshohocken, PA.

Bao C.G., Gong B.-W., Zhan L.-T., 1998. Properties of unsaturated soils and slope stability of expansive soils. In Proceedings of the Second International Conference on Unsaturated Soils-UNSAT98, Beijing, China, 1, 71–98.

Brooks R.H., Corey A.T., 1964. Hydraulic Properties of Porus Media. Colorado State University Hydrology Paper, 3, 27.

Casagrande A., 1932. Research on the Atterberg limits of soils. Public roads, 13(8), 121–136.

Dao M.D., Vu C.M., Hoang H.Y., Nguyen T.L., Do M.D., 2023. Analysis of landslide kinematics integrating weather and geotechnical monitoring data at Tan Son slow moving landslide in Ha Giang province. Vietnam Journal of Earth Sciences, 45(2), 131–146. https://doi.org/10.15625/2615-9783/18204.

Fredlund D.G., 2019. Determination of unsaturated soil property functions for engineering practice. In 17th African Regional Conference on Soil Mechanics and Geotechnical Engineering, Cape Town South Africa.

Fredlund D.G., Xing A., 1994. Equations for the soil-water characteristic curve. Canadian Geotechnical Journal, 31(4), 521–532. Doi: 10.1139/t94-061.

Fredlund D.G., Rahardjo H., Fredlund M.D., 2012. Unsaturated Soil Mechanics in Engineering Practice. John Wiley & Sons.

Fredlund D.G., Vanapalli S.K., Xing A., Pufahl D.E., 1995. Predicting the shear strength function for unsaturated soils using the soil-water characteristic curve. In Proceedings of the first international conference on Unsaturated soils. UNSAT'95. Paris. France, 6-8 September 1995, 1, 63–69.

Fredlund D.G., Xing A., Huang S., 1994. Predicting the permeability function for unsaturated soils using the soil-water characteristic curve. Canadian Geotechnical Journal, 31(4), 533–546. https://doi.org/10.1139/t94-062.

Fredlund M.D., 2000. The role of unsaturated soil property functions in the practice of unsaturated soil mechanics. University of Saskatchewan. https://hdl.handle.net/10388/etd-10212004-002824.

Fredlund M.D., Wilson G.W., Fredlund D.G., 2002. Representation and estimation of the shrinkage curve. In Proc., 3rd Int. Conf. on Unsaturated Soils, UNSAT, 145–149.

Gardner W.R., 1958. Mathematics of isothermal water conduction in unsaturated soils. Highway research board special report, 40, 78–87.

Giráldez J.V., Sposito G., Delgado C., 1983. A general soil volume change equation: I. The two‐parameter model. Soil Science Society

of America Journal, 47(3), 419–422. https://doi.org/10.2136/sssaj1983.03615995004700030005x.

GSCT, 2022. GCTS Operating Instructions for SWC-050, Version 1.2, Tempe, Arizona, USA.

Haines W.B., 1923. The volume-changes associated with variations of water content in soil. The Journal of Agricultural Science, 13(3), 296–310. https://doi.org/10.1017/S0021859600003580.

Hai-Bang Ly, Hoang-Long Nguyen, Viet-Hung Phan, Vincent Monchiet, 2024. Hybrid approach for permeability prediction in porous media: combining FFT simulations with machine learning. Vietnam Journal of Earth Sciences, 46(4), 515–532. https://doi.org/10.15625/2615-9783/21133.

Holtz R.D., Kovacs W.D., Sheahan T.C., 1981. An introduction to geotechnical engineering. Englewood Cliffs, NJ: Prentice-hall, vol. 733.

Khalili N., Khabbaz M.H., 1998. A unique relationship for χ for the determination of the shear strength of unsaturated soils. Géotechnique, 48(5), 681–687. Doi: 10.1680/geot.1998.48.5.681.

Leong E., Wijaya M., 2015. Universal soil shrinkage curve equation. Geoderma, 237–238, 78–87. https://doi.org/10.1016/j.geoderma.2014.08.012.

Peng X., Horn R., 2007. Anisotropic shrinkage and swelling of some organic and inorganic soils. European Journal of Soil Science, 58(1), 98–107. https://doi.org/10.1111/j.1365-2389.2006.00808.x.

Pham V.T., Luong L.H., Tran T.N., Nguyen Q.P., Phan T.T., Dinh T.Q., Dao M.D., Nguyen C.L., Nguyen H.C., 2023. Mechanism and numerical simulation of a rapid deep-seated landslide in Van Hoi reservoir, Vietnam. Vietnam Journal of Earth Sciences, 45(3), 357–373. https://doi.org/10.15625/2615-9783/18539.

Salih A.G., 2012. Review on granitic residual soils' geotechnical properties. Electronic Journal of Geotechnical Engineering, 17(3), 2645–2658.

Tariq A.U.R., Durnford D.S., 1993. Analytical volume change model for swelling clay soils. Soil science society of America journal, 57(5), 1183–1187. https://doi.org/10.2136/sssaj1993.03615995005700050003x.

Tran T.P.A., Chang I., Tran N.T., Cho G.-C., 2023a. Numerical modelling of slope stabilization with xathan gum-treated soil. Vietnam Journal of Earth Sciences, 45(1), 98–110. https://doi.org/10.15625/2615-9783/17924.

Tran T.P.A., Fredlund D.G., Nhan T.T., 2023c. Use of SWC-050 for Measuring Soil-Water Characteristic Curves. In International Conference on Geotechnics for Sustainable Infrastructure Development. Singapore: Springer Nature Singapore, 2425–2433.

Tran T.P.A., Fredlund D.G., Vanapalli S., 2023b. Anchor Conditions for Estimated Unsaturated Shear Strength Functions. Canadian Geotechnical Journal, 60(12), 1938–1953. https://doi.org/10.1139/cgj-2022-0255.

van Genuchten M.T., 1980. A closed‐form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal, 44(5), 892–898. https://doi.org/10.2136/sssaj1980.03615995004400050002x.

Vanapalli S.K., 2009. Shear strength of unsaturated soils and its applications in geotechnical engineering practice. In Keynote Address. Proc. 4th Asia-Pacific Conf. on Unsaturated Soils. New Castle, Australia, 579–598.

Vanapalli S.K., Oh W.-T., 2021. Analytical and numerical methods for prediction of the bearing capacity of shallow foundations in unsaturated soils. Soils and Rocks, 44. https://doi.org/10.28927/SR.2021.066521.

Vanapalli S.K., Fredlund D.G., Pufahl D.E., Clifton A.W., 1996. Model for the prediction of shear strength with respect to soil suction. Canadian Geotechnical Journal, 33(3), 379–392. Doi: 10.1139/t96-060.

Wijaya M., Leong E.C., 2016. Estimation of soil shrinkage curve. In Unsaturated Soil Mechanics - from Theory to Practice. Edited by E. Chen et al. Taylor & Francis Group, London, 785–789.

Wong J.M., Elwood D., Fredlund D.G., 2019. Use of a three-dimensional scanner for shrinkage curve tests. Canadian Geotechnical Journal, 56(4), 526–535. https://doi.org/10.1139/cgj-2017-0700.

Zhang L.L., Fredlund D.G., Fredlund M.D., Wilson G.W., 2014. Modeling the unsaturated soil zone in slope stability analysis. Canadian Geotechnical Journal, 51(12), 1384–1398. https://doi.org/10.1139/cgj-2013-0394.