Technical Papers
Nov 9, 2020

Direct Application of the Soil–Water Characteristic Curve to Estimate the Shear Modulus of Unsaturated Soils

Publication: International Journal of Geomechanics
Volume 21, Issue 1

Abstract

The small-strain shear modulus of soils is a key parameter in the design of geotechnical systems and analysis of the soil–structure response to earth and earth-supported infrastructure. However, the small-strain shear modulus is not unique to a specific soil type. The small-strain shear modulus is a complex function of the state conditions (e.g., void ratio, suction) and stress states (e.g., in situ stresses, preconsolidation stresses). For unsaturated soils, the variations of the state conditions at a given stress state are captured by the soil–water characteristic curve (SWCC). This paper presents a general method to predict the small-strain shear modulus of unsaturated soils based on an inverse relationship between the small-strain shear modulus and the SWCC. Both vary with matric suction, but the two do not exactly mirror each other. Thus, the original SWCC was modified to improve the alignment with the small-strain shear modulus. In addition, a change in the void ratio induced by changing the net normal stress led to a change in the SWCC. Therefore, the modified SWCC was further adjusted for net normal stresses different from the original net normal stress. Finally, a small-strain shear modulus prediction equation was developed in accordance with the modified SWCC. The proposed equation consisted of several fitting parameters that were estimated from the modified SWCC. The developed prediction models were shown to be applicable to the numerous case studies for various net normal stresses and over a large range of matric suctions.

Get full access to this article

View all available purchase options and get full access to this article.

References

Alonso, E. E., A. Gens, and A. Josa. 1990. “A constitutive model for partially saturated soils.” Géotechnique 40 (3): 405–430. https://doi.org/10.1680/geot.1990.40.3.405.
Benson, C., I. Chiang, T. Chalermyanont, and A. Sawangsuriya. 2014. “Estimating van Genuchten parameters α and n for clean sands from particle size distribution data.” In Soil Behavior Fundamentals to Innovations in Geotechnical Engineering, Geotechnical Special Publication 233, edited by M. Iskander, J. E. Garlanger, and M. H. Hussein, 410–427. Reston, VA: ASCE.
Chang, C. S., Y. Deng, and Z. Yang. 2017. “Modeling of minimum void ratio for granular soil with effect of particle size distribution.” J. Eng. Mech. 143 (9): 04017060. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001270.
Dong, Y., and N. Lu. 2016a. “Dependencies of shear wave velocity and shear modulus of soil on saturation.” J. Eng. Mech. 142 (11): 04016083. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001147.
Dong, Y., and N. Lu. 2016b. “Correlation between small-strain shear modulus and suction stress in capillary regime under zero total stress conditions.” J. Geotech. Geoenviron. Eng. 142 (11): 04016056. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001531.
Dong, Y., N. Lu, and J. S. McCartney. 2016. “Unified model for small-strain shear modulus of variably saturated soil.” J. Geotech. Geoenviron. Eng. 142 (9): 04016039. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001506.
Dong, Y., N. Lu, and J. S. McCartney. 2018. “Scaling shear modulus from small to finite strain for unsaturated soils.” J. Geotech. Geoenviron. Eng. 144 (2): 04017110. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001819.
Fredlund, D. G., and S. L. Houston. 2013. “Interpretation of soil–water characteristic curves when volume change occurs as soil suction is changed.” In Proc., 1st Pan-American Conf. on Unsaturated Soils, UNSAT 2013, Advances in Unsaturated Soils, edited by B. Caicedo, 15–31. Boca Raton, FL: Taylor & Francis.
Gallipoli, D., S. J. Wheeler, and M. Karstunen. 2003. “Modelling the variation of degree of saturation in a deformable unsaturated soil.” Géotechnique 53 (1): 105–112. https://doi.org/10.1680/geot.2003.53.1.105.
Han, Z., and S. K. Vanapalli. 2016. “Stiffness and shear strength of unsaturated soils in relation to soil-water characteristic curve.” Géotechnique 66 (8): 627–647. https://doi.org/10.1680/jgeot.15.P.104.
Hillel, D. 1998. Environmental soil physics: Fundamentals, applications, and environmental considerations. San Diego: Academic Press.
Hippley, B. T. 2003. “Elastic stiffness of unsaturated soil.” Doctoral dissertation, Dept. of Civil Engineering, Univ. of Kentucky.
Hoyos, L. R., E. A. Suescún-Florez, and A. J. Puppala. 2015. “Stiffness of intermediate unsaturated soil from simultaneous suction-controlled resonant column and bender element testing.” Eng. Geol. 188: 10–28. https://doi.org/10.1016/j.enggeo.2015.01.014.
Khosravi, A., M. Ghayoomi, J. McCartney, and H. Y. Ko. 2010. “Impact of effective stress on the dynamic shear modulus of unsaturated sand.” In GeoFlorida, Geotechnical Special Publication 199, edited by D. O. Fratta, A. J. Puppala, and B. Muhunthan, 410–419. Reston, VA: ASCE.
Khosravi, A., and J. S. McCartney. 2012. “Impact of hydraulic hysteresis on the small-strain shear modulus of low plasticity soils.” J. Geotech. Geoenviron. Eng. 138 (11): 1326–1333. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000713.
Khosravi, A., M. Rahimi, A. Gheibi, and M. Mahdi Shahrabi. 2018a. “Impact of plastic compression on the small strain shear modulus of unsaturated silts.” Int. J. Geomech. 18 (2): 04017138. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001031.
Khosravi, A., S. Salam, J. S. McCartney, and A. Dadashi. 2016. “Suction-induced hardening effects on the shear modulus of unsaturated silt.” Int. J. Geomech. 16 (6): D4016007. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000614.
Khosravi, A., P. Shahbazan, and A. Pak. 2018b. “Impact of hydraulic hysteresis on the small strain shear modulus of unsaturated sand.” Soils Found. 58 (2): 344–354. https://doi.org/10.1016/j.sandf.2018.02.018.
Lee, S. H., W. S. Seo, and D. S. Kim. 2007. “Evaluation of modulus of unsaturated compacted soils in various matric suctions using modified volumetric pressure plate extractor.” In Proc., 60th Canadian Geotechnical Conf., 21–24. Canada: The Canadian Geotechnical Society.
Lu, N. 2016. “Generalized soil water retention equation for adsorption and capillarity.” J Geotech Geoenviron. Eng. 142 (10): 04016051. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001524.
Lu, N., and M. Kaya. 2014. “Power law for elastic moduli of unsaturated soil.” J. Geotech. Geoenviron. Eng. 140 (1): 46–56. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000990.
Lu, N., and M. Khorshidi. 2015. “Mechanisms for soil-water retention and hysteresis at high suction range.” J. Geotech. Geoenviron. Eng. 141 (8): 04015032. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001325.
Lu, N., and W. Likos. 2004. Unsaturated soil mechanics. New York: Wiley.
Mancuso, C., R. Vassallo, and A. d’Onofrio. 2002. “Small strain behavior of a silty sand in controlled-suction resonant column torsional shear tests.” Can. Geotech. J. 39 (1): 22–31. https://doi.org/10.1139/t01-076.
Morales, L., E. E. Romero Morales, C. Jommi, E. Garzón, and A. Giménez. 2015. “Ageing effects on the small-strain stiffness of a bio-treated compacted soil.” Géotech. Lett. 5 (3): 217–223. https://doi.org/10.1680/jgele.15.00044.
Ng, C. W. W., J. Xu, and S. Y. Yung. 2009. “Effects of wetting-drying and stress ratio on anisotropic stiffness of an unsaturated soil at very small strains.” Can. Geotech. J. 46 (9): 1062–1076. https://doi.org/10.1139/T09-043.
Ng, C. W. W., and S. Y. Yung. 2008. “Determination of the anisotropic shear stiffness of an unsaturated decomposed soil.” Géotechnique 58 (1): 23–35. https://doi.org/10.1680/geot.2008.58.1.23.
Ng, C. W. W., and C. Zhou. 2014. “Cyclic behaviour of an unsaturated silt at various suctions and temperatures.” Géotechnique 64 (9): 709–720. https://doi.org/10.1680/geot.14.P.015.
Ngoc, T. P., B. Fatahi, and H. Khabbaz. 2019. “Impacts of drying–wetting and loading-unloading cycles on small strain shear modulus of unsaturated soils.” Int. J. Geomech. 19 (8): 04019090. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001463.
Oh, W. T., and S. K. Vanapalli. 2014. “Semi-empirical model for estimating the small-strain shear modulus of unsaturated non-plastic sandy soils.” Geotech. Geol. Eng. 32 (2): 259–271. https://doi.org/10.1007/s10706-013-9708-5.
Picornell, M., and S. Nazarian. 1998. “Effect of soil suction on the low strain shear modulus of soils.” In Proc., 2nd Int. Conf. on Unsaturated Soil, 102–107. Beijing, China: China Civil Engineering Society (CCES).
Rong, W., and J. S. McCartney. 2017. “Modeling the seismic compression of unsaturated sands.” In Proc., 2nd Pan-American Conf. on Unsaturated Soils, 584–594. Reston, VA: ASCE.
Sawangsuriya, A., T. B. Edil, and P. J. Bosscher. 2009. “Modulus–suction–moisture relationship for compacted soils in post compaction state.” J. Geotech. Geoenviron. Eng. 135 (10): 1390–1403. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000108.
Schnellmann, R., H. Rahardjo, and H. R. Schneider. 2015. “Controlling parameter for unsaturated soil property functions: Validated on the unsaturated shear strength.” Can. Geotech. J. 52 (3): 374–381. https://doi.org/10.1139/cgj-2013-0278.
Sivakumar, V., J. Kodikara, R. O’hagan, D. Hughes, P. Cairns, and J. D. McKinley. 2013. “Effects of confining pressure and water content on performance of unsaturated compacted clay under repeated loading.” Géotechnique 63 (8): 628–640. https://doi.org/10.1680/geot.10.P.103.
Takkabutr, P. 2006. “Experimental investigations on small-strain stiffness properties of partially saturated soils via resonant column and bender element testing.” Doctoral dissertation, Dept. of Civil and Environmental Engineering, Univ. of Texas.
Tuller, M., D. Or, and L. M. Dudley. 1999. “Adsorption and capillary condensation in porous media: Liquid retention and interfacial configurations in angular pores.” Water Resour. Res. 35 (7): 1949–1964. https://doi.org/10.1029/1999WR900098.
Vanapalli, S. K., and D. G. Fredlund. 2000. “Comparison of different procedures to predict unsaturated soil shear strength.” In Proc., Sessions of Geo-Denver, Advances in Unsaturated Geotechnics, Geotechnical Special Publication 99, edited by C. D. Shackelford, S. L. Houston, and N.-Y. Chang, 195–209. Reston, VA: ASCE.
van Genuchten, M. T. 1980. “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J. 44 (5): 892–898. https://doi.org/10.2136/sssaj1980.03615995004400050002x.
Xu, J., and C. Zhou. 2016. “A simple model for the hysteretic elastic shear modulus of unsaturated soils.” J. Zhejiang Univ. Sci. A 17 (7): 589–596. https://doi.org/10.1631/jzus.A1600300.
Yang, X., and X. You. 2013. “Estimating parameters of van Genuchten model for soil–water retention curve by intelligent algorithms.” Appl. Math. Inf. Sci. 7 (5): 1977–1983. https://doi.org/10.12785/amis/070537.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 21Issue 1January 2021

History

Received: Apr 9, 2020
Accepted: Aug 21, 2020
Published online: Nov 9, 2020
Published in print: Jan 1, 2021
Discussion open until: Apr 9, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Graduate Research Assistant, Dept. of Civil Engineering, Univ. of Kentucky, 161 Raymond Bldg., Lexington, KY 40506. ORCID: https://orcid.org/0000-0002-2454-3670. Email: [email protected]
Hardin-Drnevich-Huang Associate Professor, Dept. of Civil Engineering, Univ. of Kentucky, Lexington, KY 40506 (corresponding author). ORCID: https://orcid.org/0000-0003-2350-2241. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share