Abstract
For evaluation of the seismic stability of submarine slopes, traditional deterministic methods may not reflect the actual situation due to the uncertainties in input values such as seismic acceleration, soil properties, and hydraulic conditions. In this study, probabilistic analyses were conducted based on the use of an enhanced Newmark method to evaluate the seismic stability of submarine slopes. In the probabilistic workflow, the infinite slope model was used, whereby the spatially varied strengths of marine sediments were simulated by non-stationary random fields discretized by the Karhunen-Loève expansion. The positions of the potential slip surfaces were searched automatically, rather than being predefined as in the traditional limit equilibrium method. Artificial earthquake accelerations, exhibiting the same spectral characteristics, were simulated as the input ground motions in the probabilistic analysis. The pore water pressure generation and dissipation models were incorporated into the enhanced Newmark method when calculating the permanent displacements of the submarine slopes. Monte Carlo simulations were conducted for statistical characterization of the slope displacements and their failure probabilities. The results of the analysis indicate the superiority of the probabilistic framework and demonstrate the significant effects of pore water pressure and the spatial variability of the soil strength on the displacements and failure probabilities of submarine slopes.
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References
Andersen KH (2009) Bearing capacity under cyclic loading -offshore, along the coast, and on land. The 21st Bjerrum Lecture presented in Oslo, 23 November 2007. Can Geotech J 46:513–535. https://doi.org/10.1139/T09-003
Arulanandan K, Scott RF (1993) Verification of numerical procedures for the analysis of soil liquefaction problems. In: International Conference on the Verification of Numerical Procedures for the Analysis of Soil Liquefaction Problems (1993: Davis, Calif.). AA Balkema
Arulmoli K, Muraleetharan KK, Hossain MM, Fruth LS (1992) VELACS laboratory testing program, soil data report. The Earth Technology Corporation, Irvine
Biondi G, Cascone E, Maugeri M, Motta E (2000) Seismic response of saturated cohesionless slopes. Soil Dyn Earthq Eng 20:209–215. https://doi.org/10.1016/S0267-7261(00)00051-8
Biondi G, Di Filippo G, Maugeri M (2007) Effect of earthquake induced pore-water pressure in clay slopes. In: In: Proc., 4th Int. Conf. on Earthquake Geotechnical Engineering. Springer, Dordrecht
Bray JD, Travasarou T (2007) Simplified procedure for estimating earthquake-iInduced deviatoric slope displacements. J Geotech Geoenviron Eng 133:381–392. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:4(381)
Cao Z, Wang Y (2013) Bayesian approach for probabilistic site characterization using cone penetration tests. J Geotech Geoenviron Eng 139:267–276. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000765
Chang CJ, Chen WF, Yao JTP (1984) Seismic displacements in slopes by limit analysis. J Geotech Eng 110:860–874. https://doi.org/10.1061/(ASCE)0733-9410(1984)110:7(860)
Chiaradonna A, Tropeano G, D’Onofrio A, Silvestri F (2018) Development of a simplified model for pore water pressure build-up induced by cyclic loading. Bull Earthq Eng 16:3627–3652. https://doi.org/10.1007/s10518-018-0354-4
Ching J, Phoon K-K (2019) Impact of autocorrelation function model on the probability of failure. J Eng Mech 145:04018123. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001549
Ching J, Phoon KK, Li DQ (2016) Robust estimation of correlation coefficients among soil parameters under the multivariate normal framework. Struct Saf 63:21–32. https://doi.org/10.1016/j.strusafe.2016.07.002
Cho SE (2010) Probabilistic assessment of slope stability that considers the spatial variability of soil properties. J Geotech Geoenviron Eng 136:975–984. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000309
Dahl KR, Boulanger RW, Dejong JT, Driller MW (2010) Effects of sample disturbance and consolidation procedures on cyclic strengths of intermediate soils. Int Conf Recent Adv Geotech Earthq Eng Soil Dyn 2:1–21
Du W, Wang G (2014) Fully probabilistic seismic displacement analysis of spatially distributed slopes using spatially correlated vector intensity measures. Earthq Eng Struct Dyn 43:661–679. https://doi.org/10.1002/eqe.2365
Du W, Wang G (2016) A one-step Newmark displacement model for probabilistic seismic slope displacement hazard analysis. Eng Geol 205:12–23. https://doi.org/10.1016/j.enggeo.2016.02.011
Elgamal A, Zeghal M, Taboada V, Dobry R (1996) Analysis of site liquefaction and lateral spreading using centrifuge testing records. Soils Found 36:111–121. https://doi.org/10.3208/sandf.36.2_111
Fell R (1994) Landslide risk assessment and acceptable risk. Can Geotech J 31:261–272. https://doi.org/10.1139/t94-031
Fenton GA, Griffiths DV (2003) Bearing-capacity prediction of spatially random c - ø soils. Can Geotech J 40:54–65. https://doi.org/10.1139/t02-086
Ghiocel DM, Ghanem RG (2002) Stochastic finite-element analysis of seismic soil–structure interaction. J Eng Mech 128:66–77. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:1(66)
Gong W, Juang CH, Martin JR (2017) A new framework for probabilistic analysis of the performance of a supported excavation in clay considering spatial variability. Géotechnique 67:546–552. https://doi.org/10.1680/jgeot.15.P.268
Griffiths D, Huang J, Fenton G (2015) Probabilistic slope stability analysis using the random finite element method (RFEM). Geotech Saf Risk V Fifth Int Symp Geotech Saf Risk 2015:704–709. https://doi.org/10.3233/978-1-61499-580-7-704
Guo Y, Kareem A (2016) System identification through nonstationary data using time-frequency blind source separation. J Sound Vib 371:110–131. https://doi.org/10.1016/j.jsv.2016.02.011
Guo X-S, Zheng D-F, Nian T-K, Lv L-T (2019) Large-scale seafloor stability evaluation of the northern continental slope of South China Sea. Mar Georesources Geotechnol 0:1–14. https://doi.org/10.1080/1064119X.2019.1632996
Hance JJ (2003) Development of a database and assessment of seafloor slope stability based on published literature. University of Texas, Master of Science in Engineering
Hu Y, Zhao T, Wang Y et al (2019) Direct simulation of two-dimensional isotropic or anisotropic random field from sparse measurement using Bayesian compressive sampling. Stoch Env Res Risk A 33:1477–1496. https://doi.org/10.1007/s00477-019-01718-7
Huang SP, Quek ST, Phoon KK (2001) Convergence study of the truncated Karhunen-Loeve expansion for simulation of stochastic processes. Int J Numer Methods Eng 52:1029–1043. https://doi.org/10.1002/nme.255
Hyodo M, Hyde AFL, Yamamoto Y, Fujii T (1999) Cyclic shear strength of undisturbed and remoulded marine clays. Soils Found 39:45–58
Ji J, Zhang W, Zhang F et al (2020) Reliability analysis on permanent displacement of earth slopes using the simplified bishop method. Comput Geotech 117:103286. https://doi.org/10.1016/j.compgeo.2019.103286
Jiang SH, Huang J (2018) Modeling of non-stationary random field of undrained shear strength of soil for slope reliability analysis. Soils Found 58:185–198. https://doi.org/10.1016/j.sandf.2017.11.006
Jiang SH, Li DQ, Cao ZJ et al (2015) Efficient system reliability analysis of slope stability in spatially variable soils using Monte Carlo simulation. J Geotech Geoenviron Eng 141:1–13. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001227
Jibson RW, Harp EL, Michael JA (2000) A method for producing digital probabilistic seismic landslide hazard maps. Eng Geol 58:271–289. https://doi.org/10.1016/S0013-7952(00)00039-9
Juang CH, Jhi YY, Lee DH (1998) Stability analysis of existing slopes considering uncertainty. Eng Geol 49:111–122. https://doi.org/10.1016/S0013-7952(97)00078-1
Juang CH, Chen CJ, Jiang T (2001) Probabilistic framework for liquefaction potential by shear wave velocity. J Geotech Geoenviron Eng 127:670–678. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:8(670)
Keaveny JM, Nadim F, Lacasse S (1990) Autocorrelation functions for offshore geotechnical data. In: Structural Safety and Reliability. ASCE, pp. 263–270
Khashila M, Hussien MN, Karray M, Chekired M (2018) Use of pore pressure build-up as damage metric in computation of equivalent number of uniform strain cycles. Can Geotech J 55:538–550. https://doi.org/10.1139/cgj-2017-0231
Ko MJ, Son SW, Kim JM (2017) Relative density and stress-dependent failure criteria of marine silty sand subjected to cyclic loading. J Korean Geotech Soc 33:79–91. https://doi.org/10.7843/kgs.2017.33.1.79
Lacasse S, Nadim F (1996) Uncertainties in characterizing soil properties. Uncertain Geol Environ Theory to Pract 49–75
Lacasse S, Nadim F, Vanneste M, et al (2013) Case studies of offshore slope stability. Geotech Spec Publ 2379–2418
Leynaud D, Mienert J, Nadim F (2004) Slope stability assessment of the Helland Hansen area offshore the mid-Norwegian margin. Mar Geol 213:457–480. https://doi.org/10.1016/j.margeo.2004.10.019
Li LL, Dan HB, Wang LZ (2011) Undrained behavior of natural marine clay under cyclic loading. Ocean Eng 38:1792–1805. https://doi.org/10.1016/j.oceaneng.2011.09.004
Li DQ, Qi XH, Phoon KK et al (2014) Effect of spatially variable shear strength parameters with linearly increasing mean trend on reliability of infinite slopes. Struct Saf 49:45–55. https://doi.org/10.1016/j.strusafe.2013.08.005
Li D-Q, Wang M-X, Du W (2020) Influence of spatial variability of soil strength parameters on probabilistic seismic slope displacement hazard analysis. Eng Geol 276:105744. https://doi.org/10.1016/j.enggeo.2020.105744
Liang J, Chaudhuri SR, Shinozuka M (2007) Simulation of nonstationary stochastic processes by spectral representation. J Eng Mech 133:616–627. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:6(616)
Liu Y, Lee FH, Quek ST et al (2015) Effect of spatial variation of strength and modulus on the lateral compression response of cement-admixed clay slab. Geotechnique 65:851–865. https://doi.org/10.1680/geot.14.P.254
Lloret-Cabot M, Fenton GA, Hicks MA (2014) On the estimation of scale of fluctuation in geostatistics. Georisk 8:129–140. https://doi.org/10.1080/17499518.2013.871189
Locat J, Lee HJ (2002) Submarine landslides: advances and challenges. Can Geotech J 39:193–212. https://doi.org/10.1139/t01-089
Lü Q, Chen P, Kim B et al (2019) Probabilistic assessment of seismic stability of a rock slope by combining the simulation of stochastic ground motion with permanent displacement analysis. Eng Geol 260:105210. https://doi.org/10.1016/j.enggeo.2019.105210
Lumb P (1970) Safety factors and the probability distribution of soil strength. Can Geotech J 7:225–242
Lunne T, Berre T, Andersen KH et al (2006) Effects of sample disturbance and consolidation procedures on measured shear strength of soft marine Norwegian clays. Can Geotech J 43:726–750. https://doi.org/10.1139/T06-040
Nadim F (2012) Risk assessment for earthquake-induced submarine slides. In: Submarine Mass Movements and Their Consequences - 5th International Symposium. pp 15–27
Nadim F, Kvalstad TJ (2007) Risk assessment and management for Offshore Geohazards. In: First International Symposium on Geotechnical Safety & Risk. Shanghai, China, pp 159–174
Newmark NM (1965) Effects of earthquakes on dams and embankments. Geotechnique 15:139–160. https://doi.org/10.1680/geot.1965.15.2.139
Oguz EA, Huvaj N, Griffiths DV (2019) Vertical spatial correlation length based on standard penetration tests. Mar Georesour Geotechnol 37:45–56. https://doi.org/10.1080/1064119X.2018.1443180
Pang R, Xu B, Kong X et al (2018) Seismic performance evaluation of high CFRD slopes subjected to near-fault ground motions based on generalized probability density evolution method. Eng Geol 246:391–401. https://doi.org/10.1016/j.enggeo.2018.09.004
Pang R, Xu B, Zhang X et al (2019) Seismic performance investigation of high CFRDs subjected to mainshock-aftershock sequences. Soil Dyn Earthq Eng 116:82–85. https://doi.org/10.1016/j.soildyn.2018.09.049
Phoon KK, Kulhawy FH (1999a) Evaluation of geotechnical property variability. Can Geotech J 36:625–639. https://doi.org/10.1139/t99-039
Phoon KK, Kulhawy FH (1999b) Characterization of geotechnical variability. Can Geotech J 36:612–624. https://doi.org/10.1139/t99-038
Phoon KK, Quek ST, Huang H (2004) Simulation of non-Gaussian processes using fractile correlation. Probab Eng Mech 19:287–292. https://doi.org/10.1016/j.probengmech.2003.09.001
Popescu R, Prevost JH (1995) Comparison between VELACS numerical “class A” predictions and centrifuge experimental soil test results. Soil Dyn Earthq Eng 14:79–92. https://doi.org/10.1016/0267-7261(94)00038-I
Rodríguez-Ochoa R, Nadim F, Cepeda JM et al (2015) Hazard analysis of seismic submarine slope instability. Georisk 9:128–147. https://doi.org/10.1080/17499518.2015.1051546
Rofooei FR, Mobarake A, Ahmadi G (2001) Generation of artificial earthquake records with a nonstationary Kanai-Tajimi model. Eng Struct 23:827–837. https://doi.org/10.1016/S0141-0296(00)00093-6
Ryu TG, Kim JM (2015) Stress-dependent failure criteria for marine silty sand subject to cyclic loading. J Korean Geotech Soc 31:15–23. https://doi.org/10.7843/kgs.2015.31.11.15
Seed HB, Idriss IM, Makdisi F, Banerjee N (1975) Representation of irregular stress time histories by equivalent uniform stress series in liquefaction analyses
Son SW, Ko MJ, Kim JM (2017) Cyclic shear behavior characteristics of marine silty sand. J Mar Sci Technol 25:784–790. https://doi.org/10.6119/JMST-017-1226-20
Tropeano G, Chiaradonna A, D’Onofrio A, Silvestri F (2019) A numerical model for non-linear coupled analysis of the seismic response of liquefiable soils. Comput Geotech 105:211–227. https://doi.org/10.1016/j.compgeo.2018.09.008
U.S. Army Corps of Engineers. (1997). Engineering and design introduction to probability and reliability methods for use in geotechnical engineering. Engr. Tech. Letter No. 1110–2-547, Department of the Army, Washington, D.C.
Wang Y, Cao Z, Au SK (2011) Practical reliability analysis of slope stability by advanced Monte Carlo simulations in a spreadsheet. Can Geotech J 48:162–172. https://doi.org/10.1139/T10-044
Whitman RV (1984) Evaluating calculated risk in geotechnical engineering. J Geotech Eng 110:143–188. https://doi.org/10.1061/(ASCE)0733-9410(1984)110:2(143)
Yan S-W, Zhu H-X, Liu R (2009) Numerical studies and statistic analyses of correlation distances of soil properties in Tianjin Port. Yantu Lixue/Rock Soil Mech 30:2179–2185. https://doi.org/10.16285/j.rsm.2009.07.022
Yang S, Nadim F, Forsberg CF (2007) Probability study on submarine slope stability. In: Lykousis V, Sakellariou D, Locat J (eds) Advances in Natural and Technological Hazards Research. Springer, pp. 161–170
Zangeneh N, Popescu R (2003) Displacement analysis of submarine slopes using enhanced Newmark method. In: In submarine mass movements and their consequences. Springer, Dordrecht, pp 193–202
Zhang LL, Cheng Y, Li JH et al (2016) Wave-induced oscillatory response in a randomly heterogeneous porous seabed. Ocean Eng 111:116–127. https://doi.org/10.1016/j.oceaneng.2015.10.016
Zhu D, Griffiths DV, Huang J, Fenton GA (2017) Probabilistic stability analyses of undrained slopes with linearly increasing mean strength. Géotechnique 67:733–746. https://doi.org/10.1680/jgeot.16.P.223
Zhu B, Pei H, Yang Q (2018) Probability analysis of submarine landslides based on the response surface method: a case study from the South China Sea. Appl Ocean Res 78:167–179. https://doi.org/10.1016/j.apor.2018.06.018
Zhu B, Pei H, Yang Q (2019a) An intelligent response surface method for analyzing slope reliability based on Gaussian process regression. Int J Numer Anal Methods Geomech 43:2431–2448. https://doi.org/10.1002/nag.2988
Zhu B, Pei H, Yang Q (2019b) Reliability analysis of submarine slope considering the spatial variability of the sediment strength using random fields. Appl Ocean Res 86:340–350. https://doi.org/10.1016/j.apor.2019.03.011
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This work was supported by the National Natural Science Foundation of China [No. 51639002, No. 51890912].
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Yang, Q., Zhu, B. & Hiraishi, T. Probabilistic evaluation of the seismic stability of infinite submarine slopes integrating the enhanced Newmark method and random field. Bull Eng Geol Environ 80, 2025–2043 (2021). https://doi.org/10.1007/s10064-020-02058-5
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DOI: https://doi.org/10.1007/s10064-020-02058-5