Variation of Small-Strain Shear Modulus of Unsaturated Silt under Successive Cycles of Drying and Wetting
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 146, Issue 7
Abstract
A new framework is developed to extend an existing small-strain shear modulus model to determine of unsaturated silty soils along different paths of the soil water retention curve (SWRC) including the scanning loops. The suitability of the proposed framework is validated against experimental results of a series of bender-element tests performed in this study and data reported in literature. Measured values of showed a slight hysteresis in the measurements along the scanning curves of the SWRC, with lower values along the wetting scanning paths. However, results indicated that the value of was recovered once the main drying path was reached. Results of this study also indicated that behavior of the silty specimen along the scanning curves was stress dependent. The model was observed to follow the experimental data along different paths of the SWRC including scanning curves.
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Data Availability Statement
All data generated or used during the study including the small-strain shear modulus data, void ratio measurements, and SWRCs are available from the corresponding author by request.
References
Angela, D., and V. Daniel. 1999. “Design and analysis of experiments.” In Chapter 3: Design with one source of variation, 33–66. New York: Springer.
Cabarkapa, Z., T. Cuccovillo, and M. Gunn. 1999. “Some aspects of the pre-failure behavior of unsaturated soil.” In Vol. 1 of Proc., 2nd Int. Conf. on Pre-Failure Behavior of Geomaterials, 159–165. Rotterdam, Netherlands: A.A.Balkema.
Clayton, C. R. I., M. Theron, and A. I. Best. 2004. “The measurement of vertical shear-wave velocity using side-mounted bender elements in the triaxial apparatus.” Géotechnique 54 (7): 495–498.
Dong, Y., and N. Lu. 2016. “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.
Fereshtehnejad, E., and A. Shafieezadeh. 2017. “A randomized point-based value iteration POMDP enhanced with a counting process technique for optimal management of multi-state multi-element systems.” Struct. Saf. 65 (Mar): 113–125. https://doi.org/10.1016/j.strusafe.2017.01.003.
Fleureau, J. M., S. Hadiwardoyo, and A. G. Correia. 2003. “Generalized effective stress analysis of strength and small strains behavior of a silty sand, from dry to saturated state.” Soils Found. 43 (4): 21–33. https://doi.org/10.3208/sandf.43.4_21.
Hardin, B. O. 1978. “The nature of stress-strain behavior for soils.” In Vol. 1 of Proc., ASCE Geotechnical Engineering Division Specialty Conf., Earthquake Engineering and Soil Dynamics. Reston, VA: ASCE.
Heitor, A., B. Indraratna, and C. Rujikiatkamjorn. 2014. “Aspects related to the small strain shear modulus behavior of compacted soils subjected to wetting and drying.” In Proc., Geo-Congress Technical Papers: Geo-characterization and Modeling for Sustainability, 1433–1442. Reston, VA: ASCE.
Heitor, A., B. Indraratna, and C. Rujikiatkamjorn. 2015. “The role of compaction energy on the small strain properties of a compacted silty sand subjected to drying-wetting cycles.” Géotechnique 65 (9): 717–727. https://doi.org/10.1680/geot.14.P.053.
Hoyos, L. R., E. A. Suescun, and A. J. Puppala. 2011. “Small-strain stiffness of unsaturated soils using a suction-controlled resonant column device with bender elements.” In Proc., Geo-Frontiers 2011: Advances in Geotechnical Engineering, 4313–4322. Reston, VA: ASCE.
Inci, G., N. Yesiller, and T. Kagawa. 2003. “Experimental investigation of dynamic response of compacted clayey soils.” Geotech. Test. J. 26 (2): 125–141.
Khosravi, A. 2011. “Small strain shear modulus of unsaturated, compacted soils during hydraulic hysteresis.” Ph.D. dissertation, Civil Engineering Dept., Univ. of Colorado Boulder.
Khosravi, A., and J. S. McCartney. 2011. “Resonant column test for unsaturated soils with suction–saturation control.” Geotech. Test. J. 34 (6): 730–739.
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. Ghayoomi, J. McCartney, and H. Y. Ko. 2010. “Impact of effective stress on the dynamic shear modulus of unsaturated sand.” In Proc., Geo-Florida 2010: Advances in Analysis, Modeling and Design, 410–419. Reston, VA: ASCE.
Khosravi, A., A. Gheibi, and M. Rahimi. 2016a. “Impact of void ratio and state parameters on the small strain shear modulus of unsaturated soils.” Jpn. Geotech. Soc. Spec. Publ. 2 (4): 241–246. https://doi.org/10.3208/jgssp.IRN-03.
Khosravi, A., M. Rahimi, A. Gheibi, and M. Mahdi Shahrabi. 2017. “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., M. Rahimi, P. Shahbazan, A. Pak, and A. Gheibi. 2016b. “Characterizing the variation of small strain shear modulus for silt and sand during hydraulic hysteresis.” In Vol. 9 of Proc., E3S Web of Conf., 14018. London: EDP Sciences.
Khosravi, A., S. Salam, J. S. McCartney, and A. Dadashi. 2016c. “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. 2018. “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.
Kim, D. S., W. S. Seo, and M. J. Kim. 2003. “Deformation characteristics of soils with variations of capillary pressure and water content.” Soils Found. 43 (4): 71–79. https://doi.org/10.3208/sandf.43.4_71.
Kumar, J., and B. N. Madhusudhan. 2012. “Dynamic properties of sand from dry to fully saturated states.” Géotechnique 62 (1): 45–54. https://doi.org/10.1680/geot.10.P.042.
Ladd, R. S. 1978. “Preparing test specimens using undercompaction.” Geotech. Test. J. 1 (1): 16–23.
Land, C. S. 1968. “Calculation of imbibition relative permeability for two-and three-phase flow from rock properties.” Soc. Pet. Eng. J. 8 (02): 149–156. https://doi.org/10.2118/1942-PA.
Lee, J. S., and J. C. Santamarina. 2005. “Bender elements: Performance and signal interpretation.” J. Geotech. Geoenviron. Eng. 131 (9): 1063–1070. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:9(1063).
Macari, E. J., J. K. Parker, and N. C. Costes. 1997. “Measurement of volume changes in triaxial tests using digital imaging techniques.” Geotech. Test. J. 20 (1): 103–109. https://doi.org/10.1520/GTJ11424J.
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.
Marinho, F. A. M., R. J. Chandler, and M. S. Crilly. 1995. “Stiffness measurements on an unsaturated high plasticity clay using bender elements.” In Vol. 2 of Proc., 1st Int. Conf. Unsaturated Soils. Rotterdam, Netherlands: A.A. Balkema.
Mendoza, C. E., J. E. Colmenares, and V. E. Merchan. 2005. “Stiffness of an unsaturated compacted clayey soil at very small strains.” In Proc., Int. Symp. on Advanced Experimental Unsaturated Soil Mechanics, 199–204. Rotterdam, Netherlands: A.A. Balkema.
Ng, C. W., and Y. W. Pang. 2000. “Experimental investigations of the soil-water characteristics of a volcanic soil.” Can. Geotech. J. 37 (6): 1252–1264. https://doi.org/10.1139/t00-056.
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.
Ogino, T., T. Kawaguchi, S. Yamashita, and S. Kawajiri. 2015. “Measurement deviations for shear wave velocity of bender element test using time domain, cross-correlation, and frequency domain approaches” Soils Found. 55 (2): 329–342. https://doi.org/10.1016/j.sandf.2015.02.009.
Oh, W. T., and S. K. Vanapalli. 2009. “A simple model for predicting the shear modulus of unsaturated sandy soils.” In Proc., 4th Asia-Pacific Conf. on Unsaturated Soils, 1–6. Rotterdam, Netherlands: A.A. Balkema.
Parker, J. C., and R. J. Lenhard. 1987. “A model for hysteretic constitutive relations governing multiphase flow: 1. Saturation-pressure relations.” Water Resour. Res. 23 (12): 2187–2196. https://doi.org/10.1029/WR023i012p02187.
Qian, X., D. H. Gray, and R. D. Woods. 1991. “Resonant column tests on partially saturated sands.” Geotech. Test. J. 14 (3): 266–275. https://doi.org/10.1520/GTJ10571J.
Sawangsuriya, A., T. B. Edil, and P. J. Bosscher. 2009. “Modulus-suction-moisture relationship for compacted soils in postcompaction state.” J. Geotech. Geoenviron. Eng. 135 (10): 1390–1403. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000108.
Sawangsuriya, A., T. B. Edil, P. J. Bosscher, and X. Wang. 2006. “Small-strain stiffness behavior of unsaturated compacted subgrade.” In Proc., 4th Int. Conf. on Unsaturated Soils 2006, 1121–1132. Reston, VA: ASCE.
Tamagnini, R. 2004. “An extended Cam-clay model for unsaturated soils with hydraulic hysteresis.” Géotechnique 54 (3): 223–228. https://doi.org/10.1680/geot.2004.54.3.223.
Van Genuchten, M. T. 1980. “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils 1.” Soil Sci. Soc. Am. J. 44 (5): 892–898. https://doi.org/10.2136/sssaj1980.03615995004400050002x.
Vassallo, R., C. Mancuso, and F. Vinale. 2007. “Effects of net stress and suction history on the small strain stiffness of a compacted clayey silt.” Can. Geotech. J. 44 (4): 447–462. https://doi.org/10.1139/t06-129.
Wheeler, S. J., R. S. Sharma, and M. S. R. Buisson. 2003. “Coupling of hydraulic hysteresis and stress–strain behavior in unsaturated soils.” Géotechnique 53 (1): 41–54. https://doi.org/10.1680/geot.2003.53.1.41.
Wong, K. S., D. Mašín, and C. W. W. Ng. 2014. “Modelling of shear stiffness of unsaturated fine grained soils at very small strains.” Comput. Geotech. 56: 28–39. https://doi.org/10.1016/j.compgeo.2013.10.005.
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©2020 American Society of Civil Engineers.
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Received: May 8, 2019
Accepted: Jan 24, 2020
Published online: Apr 25, 2020
Published in print: Jul 1, 2020
Discussion open until: Sep 25, 2020
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