Technical Papers
Mar 14, 2024

Thermomechanical Behavior of Energy Piles with Different Roughness Values in Unsaturated Soil

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 150, Issue 5

Abstract

Energy piles are often partially or fully embedded in unsaturated soils, particularly in arid and semiarid regions; however, suction effects on their thermomechanical behavior have not been fully understood. In this study, a series of physical modeling tests were carried out to investigate the behavior of energy piles in unsaturated soils. The soil used for testing is completely decomposed granite, which is a type of clayey sand sampled from Hong Kong. Five constant-temperature pile load tests and three constant-load heating and cooling tests were conducted under different conditions of pile surface roughness and initial soil suction. It is observed that the ultimate capacity of the energy pile (Qult) increases as the initial suction increases from 0 to 90 kPa, the pile roughness increases from 0.05 to 1, and the temperature increases from 10°C to 21°C. Moreover, the effects of roughness are more significant in unsaturated conditions than in saturated states. A suction increment can increase both shaft and toe resistance, while temperature and roughness mainly affect the shaft resistance. During cyclic heating and cooling, suction and roughness increment reduces the irreversible pile head settlement due to the increment of shaft resistance. Furthermore, the irreversible pile head settlement is greatly affected by vertical load. When the working load is relatively small (smaller than 0.5Qult in this study), the settlement increases with the number of thermal cycles but at a decreasing rate for both saturated and unsaturated conditions, and finally reaches a stable state. When the working load is relatively high (0.7Qult in this study), the response of the pile does not reach a stable state in saturated conditions even after five thermal cycles. These observations should be treated with caution because they may be specific and only applicable to the case of no overburden pressure. Exercising caution is crucial when interpreting these observations, particularly at a quantitative level, because they may be limited to the test soil and the low stress level utilized in the physical model tests.

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Data Availability Statement

All data, models, and code generated or used during the study appear in the published paper.

Acknowledgments

The Shenzhen Science and Technology Innovation Commission supports this work through research grant 2022N040. The authors also thank the HKSAR Research Grants Council (RGC) for providing financial support through the grants 15200120 and the RGC Direct Allocation Grant P0038211. The third author acknowledges the financial support from the Fifth Round (2023) of the ASPIRE League Partnership Seed Fund, and the AcRF regular Tier 1 Grant (Project No. RG69/23) from the Ministry of Education, Singapore.

References

Agar, J. G., N. R. Morgenstern, and J. D. Scott. 1986. “Thermal expansion and pore pressure generation in oil sands.” Can. Geotech. J. 23 (3): 327–333. https://doi.org/10.1139/t86-046.
Akrouch, G. A., M. Sánchez, and J.-L. Briaud. 2014. “Thermomechanical behavior of energy piles in high plasticity clays.” Acta Geotech. 9 (3): 399–412. https://doi.org/10.1007/s11440-014-0312-5.
Al-Khazaali, M., and S. K. Vanapalli. 2019. “Experimental investigation of single model pile and pile group behavior in saturated and unsaturated sand.” J. Geotech. Geoenviron. Eng. 145 (12): 04019112. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002176.
Amatya, B. L., K. Soga, P. J. Bourne-Webb, T. Amis, and L. Laloui. 2012. “Thermomechanical behaviour of energy piles.” Géotechnique 62 (6): 503–519. https://doi.org/10.1680/geot.10.P.116.
ASTM. 2017. Standard practice for classification of soils for engineering purposes (unified soil classification system). ASTM D2487. West Conshohocken, PA: ASTM.
Bentil, O. T., and C. Zhou. 2022. “Effects of temperature and thermal cycles on the elastic shear modulus of saturated clay.” J. Geotech. Geoenviron. Eng. 148 (7): 06022006. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002822.
Borana, L., J. H. Yin, D. N. Singh, and S. K. Shukla. 2016. “Interface behavior from suction-controlled direct shear test on completely decomposed granitic soil and steel surfaces.” Int. J. Geomech. 16 (6): D4016008. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000658.
Borana, L., J.-H. Yin, D. N. Singh, S. K. Shukla, and F. Tong. 2018. “Direct shear testing study of the interface behavior between steel plate and compacted completely decomposed granite under different vertical stresses and suctions.” J. Eng. Mech. 144 (1): 04017148. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001352.
Bourne-Webb, P. J., B. Amatya, and K. Soga. 2013. “A framework for understanding energy pile behaviour.” Proc. Inst. Civ. Eng. Geotech. Eng. 166 (2): 170–177. https://doi.org/10.1680/geng.10.00098.
Bourne-Webb, P. J., B. Amatya, K. Soga, T. Amis, C. Davidson, and P. Payne. 2009. “Energy pile test at Lambeth College, London: Geotechnical and thermodynamic aspects of pile response to heat cycles.” Géotechnique 59 (3): 237–248. https://doi.org/10.1680/geot.2009.59.3.237.
Brand, E. W., and H. Phillipson. 1985. Sampling and testing of residual soils—A review of international practice. Hong Kong: Scorpion Press.
CEN (European Committee for Standardization). 2004. Eurocode 7: Geotechnical design—Part 1: General rules. EN1997-1. Brussels, Belgium: CEN.
Chen, X., J. Zhang, Y. Xiao, and J. Li. 2015. “Effect of roughness on shear behavior of red clay–concrete interface in large-scale direct shear tests.” Can. Geotech. J. 52 (8): 1122–1135. https://doi.org/10.1139/cgj-2014-0399.
Chiu, C. F., and C. W. W. Ng. 2003. “A state-dependent elasto-plastic model for saturated and unsaturated soils.” Géotechnique 53 (9): 809–829. https://doi.org/10.1680/geot.2003.53.9.809.
Cui, S. Q. 2023. “Thermomechanical behaviour of energy piles in unsaturated silt.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Hong Kong Polytechnic Univ.
Cui, S.-Q., C. Zhou, J.-Q. Liu, and D. B. Akinniyi. 2023. “Stress effects on thermal conductivity of soils and heat transfer efficiency of energy piles in the saturated and unsaturated soils.” Comput. Geotech. 160 (Aug): 105549. https://doi.org/10.1016/j.compgeo.2023.105549.
Cui, S.-Q., C. Zhou, and J.-H. Zhang. 2022. “Experimental investigations on the state-dependent thermal conductivity of sand-rubber mixtures.” J. Mater. Civ. Eng. 34 (3): 04021492. https://doi.org/10.1061/(ASCE)MT.1943-5533.0004133.
Day, R. W. 2010. Foundation engineering handbook: Design and construction with the 2009 international building code. New York: McGraw-Hill.
DeJong, J. T., J. D. Frost, and P. E. Cargill. 2001. “Effect of surface texturing on CPT friction sleeve measurements.” J. Geotech. Geoenviron. Eng. 127 (2): 158–168. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:2(158).
Faizal, M., A. Bouazza, C. Haberfield, and J. S. McCartney. 2018. “Axial and radial thermal responses of a field-scale energy pile under monotonic and cyclic temperature changes.” J. Geotech. Geoenviron. Eng. 144 (10): 04018072. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001952.
Faizal, M., A. Bouazza, and J. S. McCartney. 2021. “Thermohydraulic responses of unsaturated sand around a model energy pile.” J. Geotech. Geoenviron. Eng. 147 (10): 04021105. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002640.
Faizal, M., A. Bouazza, J. S. McCartney, and C. Haberfield. 2019. “Effects of cyclic temperature variations on thermal response of an energy pile under a residential building.” J. Geotech. Geoenviron. Eng. 145 (10): 04019066. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002147.
Fioravante, V. 2002. “On the shaft friction modelling of non-displacement piles in sand.” Soils Found. 42 (2): 23–33. https://doi.org/10.3208/sandf.42.2_23.
Foundation-Code. 2017. Code of practice for foundations 2017. Hong Kong: Government of SAR Hong Kong.
Fredlund, D. G. 2006. “Unsaturated soil mechanics in engineering practice.” J. Geotech. Geoenviron. Eng. 132 (3): 286–321. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:3(286).
Goode, J. C., and J. S. McCartney. 2015. “Centrifuge modeling of end-restraint effects in energy foundations.” J. Geotech. Geoenviron. Eng. 141 (8): 04015034. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001333.
Gui, M., M. Bolton, J. Garnier, J. Corte, G. Bagge, J. Laue, and R. Renzi. 1998. “Guidelines for cone penetration tests in sand.” In Proc., Centrifuge, 155–160. Rotterdam, Netherlands: A.A. Balkema.
Guo, Y., A. Golchin, M. A. Hicks, S. Liu, G. Zhang, and P. J. Vardon. 2023. “Experimental investigation of soil–structure interface behaviour under monotonic and cyclic thermal loading.” Acta Geotech. 18 (Jan): 3585–3608. https://doi.org/10.1007/s11440-022-01781-5.
Hamid, T. B., and G. A. Miller. 2009. “Shear strength of unsaturated soil interfaces.” Can. Geotech. J. 46 (5): 595–606. https://doi.org/10.1139/T09-002.
Hashemi, A., M. Sutman, and H. Abuel-Naga. 2023a. “Thermomechanical response of kaolin clay–concrete interface in the context of energy geostructures.” Can. Geotech. J. 60 (3): 380–396. https://doi.org/10.1139/cgj-2022-0172.
Hashemi, A., M. Sutman, and G. M. Medero. 2023b. “A review on the thermo-hydro-mechanical response of soil–structure interface for energy geostructures applications.” Geomech. Energy Environ. 33 (Sep): 100439. https://doi.org/10.1016/j.gete.2023.100439.
Hossain, M. A., and J.-H. Yin. 2010. “Behavior of a compacted completely decomposed granite soil from suction controlled direct shear tests.” J. Geotech. Geoenviron. Eng. 136 (1): 189–198. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000189.
Hossain, M. A., and J.-H. Yin. 2012. “Influence of grouting pressure on the behavior of an unsaturated soil-cement interface.” J. Geotech. Geoenviron. Eng. 138 (2): 193–202. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000585.
International Code Council. 2014. 2015 IBC international building code. Country Club Hills, IL: International Code Council.
Knellwolf, C., H. Peron, and L. Laloui. 2011. “Geotechnical analysis of heat exchanger piles.” J. Geotech. Geoenviron. Eng. 137 (10): 890–902. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000513.
Kong, G., J. Fang, X. Huang, H. Liu, and H. Abuel-Naga. 2021. “Thermal induced horizontal earth pressure changes of pipe energy piles under multiple heating cycles.” Geomech. Energy Environ. 26 (Aug): 100228. https://doi.org/10.1016/j.gete.2020.100228.
Kong, G., J. Fang, Z. Lv, and Q. Yang. 2023. “Effects of pile and soil properties on thermally induced mechanical responses of energy piles.” Comput. Geotech. 154 (Feb): 105176. https://doi.org/10.1016/j.compgeo.2022.105176.
Kwok, C. Y., and M. D. Bolton. 2010. “DEM simulations of thermally activated creep in soils.” Géotechnique 60 (6): 425–433. https://doi.org/10.1680/geot.2010.60.6.425.
Ladd, R. S. 1978. “Preparing test specimens using undercompaction.” Geotech. Test. J. 1 (1): 16–23. https://doi.org/10.1520/GTJ10364J.
Laloui, L., M. Nuth, and L. Vulliet. 2006. “Experimental and numerical investigations of the behaviour of a heat exchanger pile.” Int. J. Numer. Anal. Methods Geomech. 30 (8): 763–781. https://doi.org/10.1002/nag.499.
Laloui, L., and M. Sutman. 2021. “Experimental investigation of energy piles: From laboratory to field testing.” Geomech. Energy Environ. 27 (Sep): 100214. https://doi.org/10.1016/j.gete.2020.100214.
Le Kouby, A., J. Canou, and J. Dupla. 2004. “Behaviour of model piles subjected to cyclic axial loading.” In Cyclic behaviour of soils and liquefaction phenomena, 159–166. Leiden, Netherlands: A. A. Balkema.
Li, X., and X. Li. 2023. “A soil freezing-thawing model based on thermodynamics.” Cold Reg. Sci. Technol. 211 (Feb): 103867. https://doi.org/10.1016/j.coldregions.2023.103867.
Lin, S., D. Tan, Y. Leung, J. Yin, I. Li, H. Sze, L. Lo, H. Kan, C. Wong, and Y. Chan. 2023. “Fibre optic monitoring of a twin-circular shaft excavation: Developments of circumferential forces and bending moments in diaphragm wall.” J. Geotech. Geoenviron. Eng. 149 (12): 04023117. https://doi.org/10.1061/JGGEFK.GTENG-11211.
Liu, H.-L., C.-L. Wang, G.-Q. Kong, and A. Bouazza. 2019. “Ultimate bearing capacity of energy piles in dry and saturated sand.” Acta Geotech. 14 (3): 869–879. https://doi.org/10.1007/s11440-018-0661-6.
Lu, N., and Y. Dong. 2015. “Closed-form equation for thermal conductivity of unsaturated soils at room temperature.” J. Geotech. Geoenviron. Eng. 141 (6): 04015016. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001295.
Ma, Q., C. W. W. Ng, D. Mašín, and C. Zhou. 2017. “An approach for modelling volume change of fine-grained soil subjected to thermal cycles.” Can. Geotech. J. 54 (6): 896–901. https://doi.org/10.1139/cgj-2016-0459.
Maghsoodi, S., O. Cuisinier, and F. Masrouri. 2020. “Thermal effects on mechanical behaviour of soil–structure interface.” Can. Geotech. J. 57 (1): 32–47. https://doi.org/10.1139/cgj-2018-0583.
Mendes, J., and O. Buzzi. 2013. “New insight into cavitation mechanisms in high-capacity tensiometers based on high-speed photography.” Can. Geotech. J. 50 (5): 550–556. https://doi.org/10.1139/cgj-2012-0393.
Murphy, K. D., J. S. McCartney, and K. S. Henry. 2015. “Evaluation of thermomechanical and thermal behavior of full-scale energy foundations.” Acta Geotech. 10 (2): 179–195. https://doi.org/10.1007/s11440-013-0298-4.
Ng, C. W. W., Q. Y. Mu, and C. Zhou. 2019. “Effects of specimen preparation method on the volume change of clay under cyclic thermal loads.” Géotechnique 69 (2): 146–150. https://doi.org/10.1680/jgeot.16.P.293.
Ng, C. W. W., C. Shi, A. Gunawan, L. Laloui, and H. L. Liu. 2015. “Centrifuge modelling of heating effects on energy pile performance in saturated sand.” Can. Geotech. J. 52 (8): 1045–1057. https://doi.org/10.1139/cgj-2014-0301.
Ng, C. W. W., X. Zhao, S. Zhang, J. Ni, and C. Zhou. 2022. “An elasto-plastic numerical analysis of THM responses of floating energy pile foundations subjected to asymmetrical thermal cycles.” Géotechnique 1–20. https://doi.org/10.1680/jgeot.22.00055.
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.
Ng, C. W. W., C. Zhou, and C. F. Chiu. 2020. “Constitutive modelling of state-dependent behaviour of unsaturated soils: An overview.” Acta Geotech. 15 (10): 2705–2725. https://doi.org/10.1007/s11440-020-01014-7.
Olgun, C. G., T. Y. Ozudogru, S. L. Abdelaziz, and A. Senol. 2014. “Long-term performance of heat exchanger piles.” Acta Geotech. 10 (5): 553–569. https://doi.org/10.1007/s11440-014-0334-z.
O’Neill, M. W. 2001. “Side resistance in piles and drilled shafts.” J. Geotech. Geoenviron. Eng. 127 (1): 3–16. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:1(3).
Poulos, H. G. 1989. “Pile behaviour—Theory and application.” Géotechnique 39 (3): 365–415. https://doi.org/10.1680/geot.1989.39.3.365.
Ravera, E., M. Sutman, and L. Laloui. 2021. “Cyclic thermomechanical response of fine-grained soil−concrete interface for energy piles applications.” Can. Geotech. J. 58 (8): 1216–1230. https://doi.org/10.1139/cgj-2020-0437.
Stewart, M. A., and J. S. McCartney. 2014. “Centrifuge modeling of soil-structure interaction in energy foundations.” J. Geotech. Geoenviron. Eng. 140 (4): 4013044. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001061.
Sutman, M., T. Brettmann, and C. G. Olgun. 2019. “Full-scale in-situ tests on energy piles: Head and base-restraining effects on the structural behaviour of three energy piles.” Geomech. Energy Environ. 18 (Feb): 56–68. https://doi.org/10.1016/j.gete.2018.08.002.
Tehrani, F. S., F. Han, R. Salgado, M. Prezzi, R. D. Tovar, and A. G. Castro. 2016. “Effect of surface roughness on the shaft resistance of non-displacement piles embedded in sand.” Géotechnique 66 (5): 386–400. https://doi.org/10.1680/jgeot.15.P.007.
Thota, S. K., F. Vahedifard, and J. S. McCartney. 2021. “A temperature-dependent model for ultimate bearing capacity of energy piles in unsaturated fine-grained soils.” J. Geotech. Geoenviron. Eng. 147 (11): 04021132. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002676.
Tovar-Valencia, R. D., A. Galvis-Castro, R. Salgado, and M. Prezzi. 2018. “Effect of surface roughness on the shaft resistance of displacement model piles in sand.” J. Geotech. Geoenviron. Eng. 144 (3): 04017120. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001828.
Uesugi, M., and H. Kishida. 1986. “Frictional resistance at yield between dry sand and mild steel.” Soils Found. 26 (4): 139–149. https://doi.org/10.3208/sandf1972.26.4_139.
Wang, B., A. Bouazza, R. M. Singh, C. Haberfield, D. Barry-Macaulay, and S. Baycan. 2015. “Posttemperature effects on shaft capacity of a full-scale geothermal energy pile.” J. Geotech. Geoenviron. Eng. 141 (4): 04014125. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001266.
Wu, J., H. Liu, P. Yang, B. Tang, and G. Wei. 2020. “Quantitative strain measurement and crack opening estimate in concrete structures based on OFDR technology.” Opt. Fiber Technol. 60 (Mar): 102354. https://doi.org/10.1016/j.yofte.2020.102354.
Yang, Z. X., R. J. Jardine, B. T. Zhu, P. Foray, and C. H. C. Tsuha. 2010. “Sand grain crushing and interface shearing during displacement pile installation in sand.” Géotechnique 60 (6): 469–482. https://doi.org/10.1680/geot.2010.60.6.469.
Yavari, N., A. M. Tang, J.-M. Pereira, and G. Hassen. 2014. “Experimental study on the mechanical behaviour of a heat exchanger pile using physical modeling.” Acta Geotech. 9 (3): 385–398. https://doi.org/10.1007/s11440-014-0310-7.
Yavari, N., A. M. Tang, J.-M. Pereira, and G. Hassen. 2016a. “Effect of temperature on the shear strength of soils and the soil–structure interface.” Can. Geotech. J. 53 (7): 1186–1194. https://doi.org/10.1139/cgj-2015-0355.
Yavari, N., A. M. Tang, J.-M. Pereira, and G. Hassen. 2016b. “Mechanical behaviour of a small-scale energy pile in saturated clay.” Géotechnique 66 (11): 878–887. https://doi.org/10.1680/jgeot.15.T.026.
You, S., X. Cheng, H. Guo, and Z. Yao. 2016. “Experimental study on structural response of CFG energy piles.” Appl. Therm. Eng. 96 (Aug): 640–651. https://doi.org/10.1016/j.applthermaleng.2015.11.127.
Zhang, N., X. Yu, A. Pradhan, and A. J. Puppala. 2015. “Thermal conductivity of quartz sands by thermo-time domain reflectometry probe and model prediction.” J. Mater. Civ. Eng. 27 (12): 4015059. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001332.
Zhao, H. F., L. M. Zhang, and D. G. Fredlund. 2013. “Bimodal shear-strength behavior of unsaturated coarse-grained soils.” J. Geotech. Geoenviron. Eng. 139 (12): 2070–2081. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000937.
Zhou, C., P. Tai, and J. H. Yin. 2020. “A bounding surface model for saturated and unsaturated soil-structure interfaces.” Int. J. Numer. Anal. Methods Geomech. 44 (18): 2412–2429. https://doi.org/10.1002/nag.3123.
Zhou, Y., G. Kong, and J. Li. 2023. “Performance of a belled pile influenced by pile head freedom response to a cooling–heating cycle.” J. Geotech. Geoenviron. Eng. 149 (2): 04022133. https://doi.org/10.1061/JGGEFK.GTENG-10407.

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Journal of Geotechnical and Geoenvironmental Engineering
Volume 150Issue 5May 2024

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Received: Mar 6, 2023
Accepted: Dec 27, 2023
Published online: Mar 14, 2024
Published in print: May 1, 2024
Discussion open until: Aug 14, 2024

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Postdoctoral Fellow, Dept. of Civil and Environmental Engineering, Hong Kong Polytechnic Univ., Hung Hom, Hong Kong. ORCID: https://orcid.org/0000-0002-3884-903X. Email: [email protected]
Tsui Tack Kong Young Scholar in Civil Engineering and Associate Professor, Dept. of Civil and Environmental Engineering, Hong Kong Polytechnic Univ., Hung Hom, Hong Kong; Associate Professor, Shenzhen Research Institute, Hong Kong Polytechnic Univ., Shenzhen 518000, China (corresponding author). ORCID: https://orcid.org/0000-0002-9443-6707. Email: [email protected]
Assistant Professor, School of Civil and Environmental Engineering, Nanyang Technological Univ., Singapore 639798. Email: [email protected]
Associate Professor, Dept. of Construction Engineering, Shenzhen Polytechnic Univ., Shenzhen 518000, China. Email: [email protected]

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