Technical Papers
Apr 14, 2020

Practical Estimation of Compression Behavior of Clayey/Silty Sands Using Equivalent Void-Ratio Concept

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 146, Issue 6

Abstract

Clayey/silty sands are widespread as naturally sedimentary soils such as marine deposits in estuaries and offshore locations. They belong to a unique class of gap-graded soils featuring a deficiency of certain range of particle sizes and behave differently from those containing pure sand aggregates. The fines improve the stiffness of host sands, which reduces the postconstruction settlement and arching effect of foundations and dams. In this study, a simple yet effective compression model is proposed for clayey/silty sands using the equivalent void-ratio concept. A structure parameter is incorporated into the model to denote the contribution of fines on the effective force chains of gap-graded mixtures. The structure parameter is affected by the particle-size distribution and basic features of sand aggregates. It can be approximated by a constant value, which represents a combination effect of the influence factors. The limit (inactive) void ratio of clayey/silty sands decreases linearly with the increase of fine content and the structure parameter. The proposed model contains only three model parameters, all of which have clear physical meanings and can be readily calibrated based on two conventional compression tests. Simulations using the newly proposed model revealed that it is versatile to capture key features of gap-graded mixtures, including the effect of initial void ratio, interaggregate void ratio, and fine content. The performance of the proposed model is verified with tests data for six clayey sands and five silty sands (or sandy gravel). The differences between the test data and model predictions for both clayey sands and gap-graded granular mixtures are marginally small. The model can be practically useful for predicting the deformation of clayey/silty sands.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or code generated or used during the study are available in a repository or online in accordance with funder data retention policies:
Some or all data, models, or code generated or used during the study are available from the corresponding author by request: Simulations of the proposed model, data in Figs. 25.

Acknowledgments

This study was partially supported by the National Natural Science Foundation of China (Grant Nos. 51679207 and 51908193) and the Research Grants Council of Hong Kong (RGC/GRF Grant Nos. 16210017, 16207319, and 16201419; TBRS Grant No. T22-603/15N; and CRF Grant No. C6012-15G). The first author appreciates the funding support from VPRG Office of HKUST for his Research Assistant Professor (RAP) position.

References

Cabalar, A. F. 2010. “Applications of the oedometer, triaxial and resonant column tests to the study of micaceous sands.” Eng. Geol. 112 (1–4): 21–28. https://doi.org/10.1016/j.enggeo.2010.01.004.
Cabalar, A. F., and R. A. Hasan. 2013. “Compressional behaviour of various size/shape sand-clay mixtures with different pore fluids.” Eng. Geol. 164 (Sep): 36–49. https://doi.org/10.1016/j.enggeo.2013.06.011.
Carrera, A., M. R. Coop, and R. Lancellotta. 2011. “Influence of grading on the mechanical behaviour of Stava tailings.” Géotechnique 61 (11): 935. https://doi.org/10.1680/geot.9.P.009.
Chandler, R. J. 2000. “The Third Glossop Lecture: Clay sediments in depositional basins: The geotechnical cycle.” Q. J. Eng. Geol. Hydrogeol. 33 (1): 7–39. https://doi.org/10.1144/qjegh.33.1.7.
Chang, C. S., M. Meidani, and Y. Deng. 2017. “A compression model for sand-silt mixtures based on the concept of active and inactive voids.” Acta Geotech. 12 (6): 1301–1317. https://doi.org/10.1007/s11440-017-0598-1.
Chang, C. S., and Z. Y. Yin. 2011. “Micromechanical modeling for behavior of silty sand with influence of fine content.” Int. J. Solids Struct. 48 (19): 2655–2667. https://doi.org/10.1016/j.ijsolstr.2011.05.014.
Chen, W. B., K. Liu, W. Q. Feng, L. Borana, and J. H. Yin. 2020. “Influence of matric suction on nonlinear time-dependent compression behavior of a granular fill material.” Acta Geotech. 15 (3): 615–633. https://doi.org/10.1007/s11440-018-00761-y.
Choo, H., and S. E. Burns. 2015. “Shear wave velocity of granular mixtures of silica particles as a function of finer fraction, size ratios and void ratios.” Granular Matter 17 (5): 567–578. https://doi.org/10.1007/s10035-015-0580-2.
Chu, C., Z. Wu, Y. Deng, Y. Chen, and Q. Wang. 2017. “Intrinsic compression behavior of remolded sand-clay mixture.” Can. Geotech. J. 54 (7): 926–932. https://doi.org/10.1139/cgj-2016-0453.
Cui, Y. F., X. J. Zhou, and C. X. Guo. 2017. “Experimental study on the moving characteristics of fine grains in wide grading unconsolidated soil under heavy rainfall.” J. Mt. Sci. 14 (3): 417–431. https://doi.org/10.1007/s11629-016-4303-x.
Dash, H. K., T. G. Sitharam, and B. A. Baudet. 2010. “Influence of non-plastic fines on the response of a silty sand to cyclic loading.” Soils Found. 50 (5): 695–704. https://doi.org/10.3208/sandf.50.695.
Deng, Y., Z. Wu, Y. Cui, S. Liu, and Q. Wang. 2017. “Sand fraction effect on hydro-mechanical behavior of sand-clay mixture.” Appl. Clay Sci. 135 (Jan): 355–361. https://doi.org/10.1016/j.clay.2016.10.017.
Ford, C. J. 1985. “The behaviour of clayey sands with low clay contents.” M.Sc. thesis, Dept. of Civil Engineering, Univ. of London.
Georgiannou, V. N. 1988. “The behaviour of clayey sands under monotonic and cyclic loading.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of London.
Georgiannou, V. N., J. B. Burland, and D. W. Hight. 1990. “The undrained behaviour of clayey sands in triaxial compression and extension.” Géotechnique 40 (3): 431–449. https://doi.org/10.1680/geot.1990.40.3.431.
Goudarzy, M., D. König, and T. Schanz. 2016. “Small strain stiffness of granular materials containing fines.” Soils Found. 56 (5): 756–764. https://doi.org/10.1016/j.sandf.2016.08.002.
Guo, C., and Y. Cui. 2020. “Pore structure characteristics of debris flow source material in the Wenchuan earthquake area.” Eng. Geol. 267: 105499. https://doi.org/10.1016/j.enggeo.2020.105499.
Gutierrez, M. 2005. “Mixture theory characterization and modeling of soil mixtures.” In Geomechanics: Testing, modeling, and simulation, 600–616. Reston, VA: ASCE.
Ham, T. G., Y. Nakata, R. P. Orense, and M. Hyodo. 2010. “Influence of gravel on the compression characteristics of decomposed granite soil.” J. Geotech. Geoenviron. Eng. 136 (11): 1574–1577. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000370.
Hardin, B. O., and W. L. Black. 1966. “Sand stiffness under various triaxial stresses.” J. Soil Mech. Found. Div. 92 (2): 27–42.
Jiang, N. J., K. Soga, and M. Kuo. 2016. “Microbially induced carbonate precipitation for seepage-induced internal erosion control in sand-clay mixtures.” J. Geotech. Geoenviron. Eng. 143 (3): 04016100. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001559.
Kuerbis, R., D. Negussey, and Y. P. Vaid. 1988. “Effect of gradation and fines content on the undrained response of sand.” In Hydraulic fill structures, 330–345. Reston, VA: ASCE.
Lashkari, A. 2014. “Recommendations for extension and re-calibration of an existing sand constitutive model taking into account varying non-plastic fines content.” Soil Dyn. Earthquake Eng. 61 (Jun): 212–238. https://doi.org/10.1016/j.soildyn.2014.02.012.
Meidani, M., C. S. Chang, and Y. Deng. 2017. “On active and inactive voids and a compression model for granular soils.” Eng. Geol. 222 (May): 156–167. https://doi.org/10.1016/j.enggeo.2017.03.006.
Mitchell, J. K. 1976. Fundamental of soil behaviour. New York: Wiley.
Monkul, M. M., and G. Ozden. 2007. “Compressional behavior of clayey sand and transition fines content.” Eng. Geol. 89 (3): 195–205. https://doi.org/10.1016/j.enggeo.2006.10.001.
Mun, W., M. C. Balci, F. Valente, and J. S. McCartney. 2018. “Shearing and compression behavior of compacted sand-clay mixtures.” In Proc., 7th Int. Conf. on Unsaturated Soils. Hong Kong: Hong Kong Geotechnical Society.
Nagaraj, T. S., F. J. Griffiths, R. C. Joshi, A. Vatsala, and B. R. S. Murthy. 1990. “Change in pore-size distribution due to consolidation of clays-discussion.” Géotechnique 40 (2): 303–309.
Ni, Q., T. S. Tan, G. R. Dasari, and D. W. Hight. 2004. “Contribution of fines to the compressive strength of mixed soils.” Géotechnique 54 (9): 561–569. https://doi.org/10.1680/geot.2004.54.9.561.
Pandian, N. S., T. S. Nagaraj, and P. N. Raju. 1995. “Permeability and compressibility behavior of bentonite-sand/soil mixes.” Geotech. Test. J. 18 (1): 86–93. https://doi.org/10.1520/GTJ10124J.
Park, J., and J. C. Santamarina. 2017. “Revised soil classification system for coarse-fine mixtures.” J. Geotech. Geoenviron. Eng. 143 (8): 04017039. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001705.
Peng, D., Q. Xu, F. Liu, Y. He, S. Zhang, X. Qi, K. Zhao, and X. Zhang. 2018. “Distribution and failure modes of the landslides in Heitai terrace, China.” Eng. Geol. 236: 97–110. https://doi.org/10.1016/j.enggeo.2017.09.016.
Peters, J. F., and E. S. Berney IV. 2010. “Percolation threshold of sand-clay binary mixtures.” J. Geotech. Geoenviron. Eng. 136 (2): 310–318. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000211.
Polito, C. P. 1999. “The effects of non-plastic and plastic fines on the liquefaction of sandy soils.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Virginia Tech.
Rahman, M. M., M. R. L. S. Cubrinovski, and S. R. Lo. 2012. “Initial shear modulus of sandy soils and equivalent granular void ratio.” Geomech. Geoeng. 7 (3): 219–226. https://doi.org/10.1080/17486025.2011.616935.
Rahman, M. M., S. C. Lo, and Y. F. Dafalias. 2014. “Modelling the static liquefaction of sand with low-plasticity fines.” Géotechnique 64 (11): 881–894. https://doi.org/10.1680/geot.14.P.079.
Rahman, M. M., S. R. Lo, and C. T. Gnanendran. 2008. “On equivalent granular void ratio and steady state behaviour of loose sand with fines.” Can. Geotech. J. 45 (10): 1439–1456. https://doi.org/10.1139/T08-064.
Ruggeri, P., D. Segato, V. M. E. Fruzzetti, and G. Scarpelli. 2016. “Evaluating the shear strength of a natural heterogeneous soil using reconstituted mixtures.” Géotechnique 66 (11): 941–946. https://doi.org/10.1680/jgeot.15.P.022.
Salgado, R., P. Bandini, and A. Karim. 2000. “Shear strength and stiffness of silty sand.” J. Geotech. Geoenviron. Eng. 126 (5): 451–462. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:5(451).
Shi, X. S., I. Herle, and D. Muir Wood. 2018. “A consolidation model for lumpy composite soils in open-pit mining.” Géotechnique 68 (3): 189–204. https://doi.org/10.1680/jgeot.16.P.054.
Shi, X. S., J. Nie, J. Zhao, and Y. Gao. 2020. “A homogenization equation for the small strain stiffness of gap-graded granular materials.” Comput. Geotech. 121: 103440. https://doi.org/10.1016/j.compgeo.2020.103440.
Shi, X. S., and J. Yin. 2017. “Experimental and theoretical investigation on the compression behavior of sand-marine clay mixtures within homogenization framework.” Comput. Geotech. 90 (Oct): 14–26. https://doi.org/10.1016/j.compgeo.2017.05.015.
Shi, X. S., and J. Yin. 2018. “Estimation of hydraulic conductivity of saturated sand–marine clay mixtures with a homogenization approach.” Int. J. Geomech. 18 (7): 04018082. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001190.
Shi, X. S., J. Yin, and J. Zhao. 2019a. “Elastic visco-plastic model for binary sand-clay mixtures with applications to one-dimensional finite strain consolidation analysis.” J. Eng. Mech. 145 (8): 04019059. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001623.
Shi, X. S., J. Zhao, J. Yin, and Z. Yu. 2019b. “An elastoplastic model for gap-graded soils based on homogenization theory.” Int. J. Solids Struct. 163 (May): 1–14. https://doi.org/10.1016/j.ijsolstr.2018.12.017.
Shipton, B., and M. R. Coop. 2012. “On the compression behaviour of reconstituted soils.” Soils Found. 52 (4): 668–681. https://doi.org/10.1016/j.sandf.2012.07.008.
Simpson, D. C., and T. M. Evans. 2015. “Behavioral thresholds in mixtures of sand and kaolinite clay.” J. Geotech. Geoenviron. Eng. 142 (2): 04015073. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001391.
Sivapullaiah, P. V., A. Sridharan, and V. K. Stalin. 2000. “Hydraulic conductivity of bentonite-sand mixtures.” Can. Geotech. J. 37 (2): 406–413. https://doi.org/10.1139/t99-120.
Tandon, G. P., and G. J. Weng. 1988. “A theory of particle-reinforced plasticity.” J. Appl. Mech. 55 (1): 126–135. https://doi.org/10.1115/1.3173618.
Thevanayagam, S., and G. R. Martin. 2002. “Liquefaction in silty soils-screening and remediation issues.” Soil Dyn. Earthquake Eng. 22 (9–12): 1035–1042. https://doi.org/10.1016/S0267-7261(02)00128-8.
Thevanayagam, S., and S. Mohan. 2000. “Intergranular state variables and stress–strain behaviour of silty sands.” Géotechnique 50 (1): 1–23. https://doi.org/10.1680/geot.2000.50.1.1.
Thevanayagam, S., T. Shenthan, S. Mohan, and J. Liang. 2002. “Undrained fragility of clean sands, silty sands, and sandy silts.” J. Geotech. Geoenviron. Eng. 128 (10): 849–859. https://doi.org/10.1061/(ASCE)1090-0241(2002)128:10(849).
Ueda, T., T. Matsushima, and Y. Yamada. 2011. “Effect of particle size ratio and volume fraction on shear strength of binary granular mixture.” Granular Matter 13 (6): 731–742. https://doi.org/10.1007/s10035-011-0292-1.
Vallejo, L. E., and R. Mawby. 2000. “Porosity influence on the shear strength of granular material-clay mixtures.” Eng. Geol. 58 (2): 125–136. https://doi.org/10.1016/S0013-7952(00)00051-X.
Watabe, Y., K. Yamada, and K. Saitoh. 2011. “Hydraulic conductivity and compressibility of mixtures of Nagoya clay with sand or bentonite.” Géotechnique 61 (3): 211–219. https://doi.org/10.1680/geot.8.P.087.
Wichtmann, T., M. N. Hernández, and T. Triantafyllidis. 2015. “On the influence of a non-cohesive fines content on small strain stiffness, modulus degradation and damping of quartz sand.” Soil Dyn. Earthquake Eng. 69 (Feb): 103–114. https://doi.org/10.1016/j.soildyn.2014.10.017.
Wu, Z., Y. Deng, Y. Cui, Y. Chen, Q. Wang, and Q. Feng. 2019. “Investigations on secondary compression behaviours of artificial soft sand-clay mixtures.” Soils Found. 59 (2): 326–336. https://doi.org/10.1016/j.sandf.2018.11.008.
Yang, J., and X. Liu. 2016. “Shear wave velocity and stiffness of sand: The role of non-plastic fines.” Géotechnique 66 (6): 500–514. https://doi.org/10.1680/jgeot.15.P.205.
Yang, J., X. Liu, M. M. Rahman, R. Lo, M. Goudarzy, and T. Schanz. 2018. “Shear wave velocity and stiffness of sand: The role of non-plastic fines.” Géotechnique 68 (10): 931–934. https://doi.org/10.1680/jgeot.16.D.006.
Yang, S. L. 2004. “Characterization of the properties of sand-silt mixtures.” Ph.D. thesis, Dept. of Civil and Transport Engineering, Norwegian Univ. of Science and Technology.
Yang, Z. Y., and J. L. Juo. 2001. “Interpretation of sieve analysis data using the box-counting method for gravelly cobbles.” Can. Geotech. J. 38 (6): 1201–1212. https://doi.org/10.1139/t01-052.
Yin, J. H. 1999. “Properties and behavior of Hong Kong marine deposits with different clay contents.” Can. Geotech. J. 36 (6): 1085–1095. https://doi.org/10.1139/t99-068.
Yin, Z. Y., H. W. Huang, and P. Y. Hicher. 2016. “Elastoplastic modeling of sand-silt mixtures.” Soils Found. 56 (3): 520–532. https://doi.org/10.1016/j.sandf.2016.04.017.
Yin, Z. Y., J. Zhao, and P. Y. Hicher. 2014. “A micromechanics-based model for sand-silt mixtures.” Int. J. Solids Struct. 51 (6): 1350–1363. https://doi.org/10.1016/j.ijsolstr.2013.12.027.
Zhao, M. H., X. J. Zou, and P. X. Zou. 2007. “Disintegration characteristics of red sandstone and its filling methods for highway roadbed and embankment.” J. Mater. Civ. Eng. 19 (5): 404–410. https://doi.org/10.1061/(ASCE)0899-1561(2007)19:5(404).
Zhao, S., T. M. Evans, and X. Zhou. 2018. “Effects of curvature-related DEM contact model on the macro-and micro-mechanical behaviours of granular soils.” Géotechnique 68 (12): 1085–1098. https://doi.org/10.1680/jgeot.17.P.158.
Zhou, W., K. Xu, G. Ma, L. Yang, and X. Chang. 2016. “Effects of particle size ratio on the macro- and microscopic behaviors of binary mixtures at the maximum packing efficiency state.” Granular Matter 18 (4): 81. https://doi.org/10.1007/s10035-016-0678-1.
Zhou, Z., H. Yang, X. Wang, and B. Liu. 2017. “Model development and experimental verification for permeability coefficient of soil-rock mixture.” Int. J. Geomech. 17 (4): 04016106. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000768.
Zlatović, S., and K. Ishihara. 1995. “On the influence of nonplastic fines on residual strength.” In Vol. 95 of Proc., 1st Int. Conf. on Earthquake Geotechnical Engineering, 239–244. Rotterdam, Netherlands: A.A Balkema.
Zuo, L., and B. A. Baudet. 2015. “Determination of the transitional fines content of sand-non-plastic fines mixtures.” Soils Found. 55 (1): 213–219. https://doi.org/10.1016/j.sandf.2014.12.017.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 146Issue 6June 2020

History

Received: Aug 13, 2019
Accepted: Jan 20, 2020
Published online: Apr 14, 2020
Published in print: Jun 1, 2020
Discussion open until: Sep 14, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Professor, Key Lab of Ministry of Education for Geomechanics and Embankment Engineering, Hohai Univ., Nanjing 210098, China; Research Assistant Professor, Dept. of Civil and Environmental Engineering, Hong Kong Univ. of Science and Technology, Hong Kong (corresponding author). ORCID: https://orcid.org/0000-0002-6148-1720. Email: [email protected]; [email protected]
Jidong Zhao [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Hong Kong Univ. of Science and Technology, Hong Kong. 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