Abstract
The penetration of a membrane in undrained triaxial tests varies with the effective confining pressure, and for coarse-grained soils, deeper penetration leads to the phenomenon of local “drainage” during the liquefaction process, resulting in overly conservative results. In this paper, instrument compensation technology is used to replenish water to the specimen in real time, to solve the influence of membrane compliance in the undrained process and to realize a “true undrained test.” Through compensated and uncompensated tests under different confining pressures, relative densities and consolidation ratios, combined with the principles of dissipated energy and pore pressure increments, the correction coefficient of the coarse-grained soil membrane during the liquefaction process is studied. The results show that the correction coefficient is not a fixed value but changes with the effective confining pressure in real time. In the early stage of the liquefaction test, that is, when the effective confining pressure is high, the correction coefficient can be treated as a constant, but with the continuous increase in pore pressure, the correction coefficient decreases. The normalization effect under different working conditions is more consistent. Finally, combined with the existing pore pressure increment model, a membrane correction coefficient that changes in real time with the effective confining pressure is introduced. Compared with the existing theory, this correction method has a more accurate fitting effect in the later stage of the liquefaction test. The research results provide a good reference for the influence of coarse-grained soil membrane compliance in the liquefaction process.
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References
Azeiteiro RJN, Coelho PALF, Taborda DMG et al (2017) Energy-based evaluation of liquefaction potential under non-uniform cyclic loading. Soil Dyn Earthq Eng 92:650–665. https://doi.org/10.1016/j.soildyn.2016.11.005
Banerjee NG (1979) Cyclic behavior of dense coarse-grained materials in relation to the seismic stability of dams. UCB/EERC-79/13
Baziar MH, Sharafi H (2011) Assessment of silty sand liquefaction potential using hollow torsional tests—an energy approach. Soil Dyn Earthq Eng 31(7):857–865. https://doi.org/10.1016/j.soildyn.2010.12.014
Berrill JB, Davis RO (1985) Energy dissipation and seismic liquefaction of sands: revised model. Soils Found 25(2):106–118. https://doi.org/10.3208/sandf1972.25.2_106
Dief HM, Figueroa JL (2007) Liquefaction assessment by the unit energy concept through centrifuge and torsional shear tests. Can Geotech J 44(11):1286–1297. https://doi.org/10.1139/T07-059
Doygun O, Brandes HG (2020) High strain damping for sands from load-controlled cyclic tests: correlation between stored strain energy and pore water pressure. Soil Dyn Earthq Eng 134(11):106134. https://doi.org/10.1016/j.soildyn.2020.106134
Enyue Ji, Jungao Z, Qinglong W, Mingjie J (2018) Embedding test of membrane in coarse-grained soil. Chin J Geotech Eng 40(02):346–352 (In Chinese)
Enyue Ji, Zhu Jungao Yu, Ting JW (2018) Analytical solution and experimental verification of membrane embedding. Geotech Mech 39(08):2780–2786 (In Chinese)
Evans MD, Seed HB (1987) Undrained cyclic triaxial testing of gravels: the effect of membrane compliance. College of Engineering, University of California
Evans MD, Zhou S (1995) Liquefaction behavior of sand-gravel composites. J Geotech Eng 121(3):287–298. https://doi.org/10.1061/(ASCE)0733-9410(1995)121:3(287)
Figueroa JL, Saada AS, Liang L et al (1994) Evaluation of soil liquefaction by energy principles. J Geotech Eng 120(9):1554–1569. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:9(1554)
Green RA (2001) Energy-based evaluation and remediation of liquefiable soils. Ph.D. thesis, department of civil engineering, Virginia polytechnic institute and state university, Blacksburg, Va
Green RA, Mitchell JK, Polito CP (2000) An energy-based pore pressure generation model for cohesionless soils. In: Proceedings of the John Booker memorial symposium—developments in theoretical geomechanics, 16–17 November 2000. Balkema, Rotterdam, the Netherlands, pp 383–390
Haeri S, Shakeri M (2010) Effects of membrane compliance on pore water pressure generation in gravelly sands under cyclic loading. Geotech Test J 33(5):375–384
Hong-jin W (1983) Experimental study on the influence of membrane compliance on bulk deformation and pore water pressure in triaxial test. In: Selected papers of the 4th soil mechanics and foundation engineering academic conference of China civil engineering society, Beijing. (In Chinese)
Huida L (2020) Research on the key issues of liquefaction resistance and triaxial test of gravel soil. Institution of engineering mechanics, China earthquake administration (In Chinese)
Huida L, Xiaoming Y, Luan W, Yunlong W (2020) A new method for calculating the embedded amount of membrane in wide-graded gravel soil. Chin J Rock Mech Eng 39(04):804–816 (In Chinese)
Ishihara K (1993) Liquefaction and flow failure during earthquakes. Geotechnique 43(3):351–451. https://doi.org/10.1680/geot.1993.43.3.351
Jafarian Y (2015) Laboratory study on cyclic behaviour and pore water pressure generation of Boushehr calcareous sand. Modares Civ Eng J 15(3):37–50
Jafarian Y, Towhata I, Baziar MH et al (2012) Strain energy based evaluation of liquefaction and residual pore water pressure in sands using cyclic torsional shear experiments. Soil Dyn Earthq Eng 35:13–28. https://doi.org/10.1016/j.soildyn.2011.11.006
Ji X, Kong X, Zou D et al (2021) Measurement of membrane penetration in triaxial specimen through digital image correlation. Acta Geotech 16:1–19. https://doi.org/10.1007/s11440-020-00998-6
Jiaer WU, Kammerer AM, Riemer MF et al (2004) Laboratory study of liquefaction triggering criteria. In: 13th world conference on earthquake engineering, Vancouver, BC, Canada, Paper (2580)
Jing-xing Z, Ke-ji Z, Hong-jin W (1986) The membrane effect and its alignment methods in dynamic triaxial test. J Hydraul Eng 5:11–18 (In Chinese)
Kiekbusch M, Schuppener B (1977) Membrane penetration and its effect on pore pressures. J Geotech Eng Div 103(11):1267–1279. https://doi.org/10.1061/AJGEB6.0000519
Kokusho T (2013) Liquefaction potential evaluations: energy-based method versus stress-based method. Can Geotech J 50(10):1088–1099. https://doi.org/10.1139/cgj-2012-0456
Kokusho T (2017) Liquefaction potential evaluations by energy-based method and stress-based method for various ground motions: supplement. Soil Dyn Earthq Eng 95:40–47. https://doi.org/10.1016/j.soildyn.2017.01.033
Lade PV, Hernandez SB (1977) Membrane penetration effects in undrained tests. J Geotech Eng Div 103(2):109–125. https://doi.org/10.1061/AJGEB6.0000377
Law KT, Cao YL, He GN (1990) An energy approach for assessing seismic liquefaction potential. Can Geotech J 27(3):320–329. https://doi.org/10.1139/t90-043
Lirer S, Mele L (2019) On the apparent viscosity of granular soils during liquefaction tests. Bull Earthq Eng 17:5809–5824. https://doi.org/10.1007/s10518-019-00706-0
Liu J, Kong X, Ning F et al (2019) A simple measurement of membrane penetration in gravel triaxial tests based on eliminating soil skeleton plastic deformation with cyclic confining pressure loading. Geotech Test J 42(4):880–896
Longtan S, Yizhen S, Zhupin W, Yonglu L (2006) Application of digital image measurement technology in geotechnical triaxial test. Rock Soil Mech 01:29–34 (In Chinese)
Martin GR, Seed HB, Finn WDL (1978) Effects of system compliance on liquefaction tests. J Geotech Eng Div 104(4):463–479. https://doi.org/10.1061/AJGEB6.0000614
Mele L (2022) An experimental study on the apparent viscosity of sandy soils: from liquefaction triggering to pseudo-plastic behaviour of liquefied sands. Acta Geotech 17(2):463–481. https://doi.org/10.1007/s11440-021-01261-2
Mele L, Flora A (2019) On the prediction of liquefaction resistance of unsaturated sands. Soil Dyn Earthq Eng 125:105689. https://doi.org/10.1016/j.soildyn.2019.05.028
Mele L, Lirer S, Flora A, Ponzo A, Cammarota A (2022) The prediction of pore pressure build-up by an energy-based model calibrated from the results of in-situ tests. In: Conference on performance-based design in earthquake. Geotechnical engineering. Springer, Cham, pp 1622–1629. https://doi.org/10.1007/978-3-031-11898-2_143
Mele L, Lirer S, Flora A (2023) A simple procedure to calibrate a pore pressure energy-based model from in situ tests. Acta Geotech 18(3):1569–1591. https://doi.org/10.1007/s11440-022-01650-1
Nemat-Nasser S, Shokooh A (1979) A unified approach to densification and liquefaction of cohesionless sand in cyclic shearing. Can Geotech J 16(4):659–678. https://doi.org/10.1139/t79-076
Ni X, Ye B, Cheng Z et al (2020) Evaluation of the effects of initial deviatoric stress and cyclic stress amplitude on liquefaction potential of loose and medium-dense sands: an energy-based method. Soil Dyn Earthq Eng 136:106236. https://doi.org/10.1016/j.soildyn.2020.106236
Noor MJM, Nyuin JD, Derahman A (2012) A graphical method for membrane penetration in triaxial tests on granular soils. J Inst Eng Malays 73(1):23–30
Polito C, Green RA, Dillon E et al (2013) Effect of load shape on relationship between dissipated energy and residual excess pore pressure generation in cyclic triaxial tests. Can Geotech J 50(11):1118–1128. https://doi.org/10.1139/cgj-2012-0379
Porcino DD, Tomasello G, Farzalizadeh R (2022) Pore-pressure generation of sands subjected to cyclic simple shear loading: an energy approach. In: Conference on performance-based design in earthquake. Geotechnical engineering. Springer, Cham, pp 1674–1682. https://doi.org/10.1007/978-3-031-11898-2_149
Raju VS (1980) Undrained triaxial tests to assess liquefaction potential of sands-effect of membrane penetration. In: Proceedings of international symposium on soil under cyclic and transient loading, pp 483–494
Ramana KV, Raju VS (1981) Constant-volume triaxial tests to study the effects of membrane penetration. Geotechn Test J 4(3):117–122
Seed HB, Martin PP, Lysmer J (1976) Pore-water pressure changes during soil liquefaction. J Geotech Eng Div 102(4):323–346. https://doi.org/10.1061/AJGEB6.0000258
Sivathayalan S, Vaid YP (1998) Truly undrained response of granular soils with no membrane-penetration effects. Can Geotech J 35(5):730–739. https://doi.org/10.1139/t98-048
SL 237-001-1999, Specification of soil test, China water conservancy and hydropower, Beijing, China. www.chinesestandard.net
Tokimatsu K, Nakamura K (1986) A liquefaction test without membrane penetration effects. Soils Found 26(4):127–138. https://doi.org/10.3208/sandf1972.26.4_127
Tokimatsu K, Nakamura K (1987) A simplified correction for membrane compliance in liquefaction tests. Soils Found 27(4):111–122. https://doi.org/10.3208/sandf1972.27.4_111
Yalin C, Guangne He, Gao L (1987) An energy analysis method for the degree of vibrational pore water pressure increasing in soil. J Dalian Inst Technol 03:83–89 (In Chinese)
Yizhen S, Longtan S, Zhupian W, Qingming W (2006) Study on membrane embedding of gravel soil specimen based on digital image measurement system. Chin J Rock Mech Eng 03:618–622 (In Chinese)
Zhang J, Ji X, Kong X et al (2023) Method for measuring the membrane penetration of triaxial specimens based on an external circular array of laser displacement sensors. Measurement 217:112905. https://doi.org/10.1016/j.measurement.2023.112905
Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Nos. 52192674, U1965206, U2240211).
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Zhang, J., Ji, X., Zou, D. et al. Study on the energy-based pore pressure model of coarse-grained soils by eliminating membrane compliance. Acta Geotech. 18, 6505–6528 (2023). https://doi.org/10.1007/s11440-023-02059-0
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DOI: https://doi.org/10.1007/s11440-023-02059-0