Technical Papers
Jan 4, 2024

Investigation of Seismic Amplification on Soil–Structure Interaction Problems Based on a 3D DRM-RFEM Framework

Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 10, Issue 1

Abstract

The spatial variability of soil properties is pervasive, and can affect the propagation of seismic waves and the dynamic responses of soil–structure interaction (SSI) systems. This uncertainty is likely to increase the damage state of a structure and its risk of collapse. Additionally, conducting multiscale simulations efficiently in the presence of uncertainties is a pressing concern that must be addressed. In this work, a 3D probabilistic analysis framework for an SSI system considering site effects and spatial variability of soil property (i.e., elastic modulus, E) has been proposed. This framework is based on the random finite element method (RFEM) and domain reduction method (DRM). A multiscale model of a five-story reinforced concrete (RC) frame structure was developed on an ideal 3D slope to verify the effectiveness of the proposed framework. The dynamic responses of the structure were analyzed, and the peak floor acceleration (PFA) and peak interstory drift ratio (PSDR) were selected to estimate the damage state of structures. It was found that the proposed method significantly improves computational efficiency approximately 20 times compared with the direct method. In the regional models, with the increase of the coefficient of variation (COV) of E, the energy of seismic waves becomes more concentrated at the crest and the response spectrum value of medium and long periods increases. In the local SSI model, the soil variability increases the mean value of PSDR, resulting in a more severe damage state compared to the results from the deterministic analysis. Consequently, this study provides some suggestions for engineering practice, and the importance of probabilistic analysis considering spatially variable soils in the SSI problem is highlighted.

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Data Availability Statement

All data and models that support the findings of this study are available from the corresponding author upon reasonable request.

References

Alam, M. I., and D. Kim. 2014. “Spatially varying ground motion effects on seismic response of adjacent structures considering soil-structure interaction.” Adv. Struct. Eng. 17 (1): 131–142. https://doi.org/10.1260/1369-4332.17.1.131.
Anand, V., and S. S. Kumar. 2018. “Seismic soil-structure interaction: A state-of-the-art review.” Structures 16 (Nov): 317–326. https://doi.org/10.1016/j.istruc.2018.10.009.
Arboleda-Monsalve, L. G., J. A. Mercado, V. Terzic, and K. R. Mackie. 2020. “Soil-structure interaction effects on seismic performance and earthquake-induced losses in tall buildings.” J. Geotech. Geoenviron. Eng. 146 (5): 04020028. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002248.
Asimaki, D., and M. Kami. 2018. “On the complexity of seismic waves trapped in irregular topographies.” Soil Dyn. Earthquake Eng. 114 (Nov): 424–437. https://doi.org/10.1016/j.soildyn.2018.07.020.
Assimaki, D., G. Gazetas, and E. Kausel. 2005. “Effects of local soil conditions on the topographic aggravation of seismic motion: Parametric investigation and recorded field evidence from the 1999 Athens earthquake.” Bull. Seismol. Soc. Am. 95 (3): 1059–1089. https://doi.org/10.1785/0120040055.
Assimaki, D., and S. Jeong. 2013. “Ground-motion observations at Hotel Montana during the M 7.0 2010 Haiti earthquake: Topography or soil amplification?” Bull. Seismol. Soc. Am. 103 (5): 2577–2590. https://doi.org/10.1785/0120120242.
Bi, K. M., H. Hong, and N. Chouw. 2010. “Required separation distance between decks and at abutments of a bridge crossing a canyon site to avoid seismic pounding.” Earthquake Eng. Struct. Dyn. 39 (3): 303–323. https://doi.org/10.1002/eqe.943.
Bi, K. M., H. Hong, and N. Chouw. 2011. “Influence of ground motion spatial variation, site condition and SSI on the required separation distances of bridge structures to avoid seismic pounding.” Earthquake Eng. Struct. Dyn. 40 (9): 1027–1043. https://doi.org/10.1002/eqe.1076.
Bielak, J., L. Kostas, H. Yoshiaki, and Y. Chiaki. 2003. “Domain reduction method for three-dimensional earthquake modeling in localized regions, Part I: Theory.” Bull. Seismol. Soc. Am. 93 (2): 817–824. https://doi.org/10.1785/0120010251.
Ding, Y., G. X. Wang, and F. J. Yang. 2020. “Parametric investigation on the effect of near-surface soil properties on the topographic amplification of ground motions.” Eng. Geol. 273 (Aug): 105687. https://doi.org/10.1016/j.enggeo.2020.105687.
Du, W. Q., and T. C. Pan. 2016. “Site response analyses using downhole arrays at various seismic hazard levels of Singapore.” Earthquake Eng. Struct. Dyn. 90 (Nov): 169–182. https://doi.org/10.1016/j.soildyn.2016.08.033.
FEMA. 2003. Multi-hazard loss estimation methodology: Earthquake model. Washington, DC: FEMA.
Feng, K. W., D. R. Huang, G. Wang, F. Jin, and Z. W. Chen. 2022. “Physics-based large-deformation analysis of coseismic landslides: A multiscale 3D SEM-MPM framework with application to the Hongshiyan landslide.” Eng. Geol. 297 (Feb): 106487. https://doi.org/10.1016/j.enggeo.2021.106487.
Forcellini, D. 2021. “Analytical fragility curves of shallow-founded structures subjected to soil-structure interaction (SSI) effects.” Earthquake Eng. Struct. Dyn. 141 (Feb): 106487. https://doi.org/10.1016/j.soildyn.2020.106487.
Guzel, Y., M. Rouainia, and G. Elia. 2020. “Effect of soil variability on nonlinear site response predictions: Application to the Lotung site.” Comput. Geotech. 121 (May): 103444. https://doi.org/10.1016/j.compgeo.2020.103444.
Hamidia, M., S. Nima, and N. Maryam. 2021. “Soil-structure interaction effects on the seismic collapse capacity of steel moment-resisting frame buildings.” Structures 32 (Aug): 1331–1345. https://doi.org/10.1016/j.istruc.2021.03.068.
Hu, H. Q., and Y. Huang. 2019. “PDEM-based stochastic seismic response analysis of sites with spatially variable soil properties.” Soil Dyn. Earthquake Eng. 125 (Oct): 105736. https://doi.org/10.1016/j.soildyn.2019.105736.
Huang, D. R., P. G. Sun, F. Jin, and C. Y. Du. 2021a. “Topographic amplification of ground motions incorporating uncertainty in subsurface soils with extensive geological borehole data.” Soil Dyn. Earthquake Eng. 141 (Feb): 106441. https://doi.org/10.1016/j.soildyn.2020.106441.
Huang, D. R., G. Wang, C. Y. Du, and F. Jin. 2021b. “Seismic amplification of soil ground with spatially varying shear wave velocity using 2D spectral element method.” J. Earthquake Eng. 25 (14): 2834–2849. https://doi.org/10.1080/13632469.2019.1654946.
Huang, H. W., L. Xiao, D. M. Zhang, and J. Zhang. 2017. “Influence of spatial variability of soil Young’s modulus on tunnel convergence in soft soils.” Eng. Geol. 228 (Oct): 357–370. https://doi.org/10.1016/j.enggeo.2017.09.011.
Isbiliroglu, Y., R. Taborda, and J. Bielak. 2015. “Coupled soil-structure interaction effects of building clusters during earthquakes.” Earthquake Spectra 31 (1): 463–500. https://doi.org/10.1193/102412EQS315M.
Jeremić, B., G. Z. Jie, M. Preisig, and N. Tafazzoli. 2009. “Time domain simulation of soil-foundation-structure interaction in non-uniform soils.” Earthquake Eng. Struct. Dyn. 38 (5): 699–718. https://doi.org/10.1002/eqe.896.
Kuhlmeyer, R. L., and J. Lysmer. 1973. “Finite element method accuracy for wave propagation problems.” J. Soil Mech. Found. Div. 99 (5): 421–427. https://doi.org/10.1061/JSFEAQ.0001885.
Li, D. Q., S. H. Jiang, Z. J. Cao, W. Zhou, C. B. Zhou, and L. M. Zhang. 2015. “A multiple response-surface method for slope reliability analysis considering spatial variability of soil properties.” Eng. Geol. 187 (Mar): 60–72. https://doi.org/10.1016/j.enggeo.2014.12.003.
Li, D. Q., M. X. Wang, and W. Q. Du. 2020. “Influence of spatial variability of soil strength parameters on probabilistic seismic slope displacement hazard analysis.” Eng. Geol. 276 (Oct): 105744. https://doi.org/10.1016/j.enggeo.2020.105744.
Li, D. Q., T. Xiao, L. M. Zhang, and Z. J. Cao. 2019. “Stepwise covariance matrix decomposition for efficient simulation of multivariate large-scale three-dimensional random fields.” Appl. Math. Modell. 68 (Apr): 169–181. https://doi.org/10.1016/j.apm.2018.11.011.
Loukakis, K., and J. Bielak. 1994. “Layering and damping effects on seismic response of sedimentary valleys to oblique excitation.” In Proc., 2nd Int. Conf. on Earthquake Resistant Construction and Design, 15–17. London: Routledge.
Luo, Y. H., X. M. Fan, R. Q. Huang, Y. S. Wang, A. P. Yunus, and H. B. Havenith. 2020. “Topographic and near-surface stratigraphic amplification of the seismic response of a mountain slope revealed by field monitoring and numerical simulations.” Eng. Geol. 271 (Jun): 105607. https://doi.org/10.1016/j.enggeo.2020.105607.
Mirzaie, F., M. Mahsuli, and M. A. Ghannad. 2017. “Probabilistic analysis of soil-structure interaction effects on the seismic performance of structures.” Earthquake Eng. Struct. Dyn. 46 (4): 641–660. https://doi.org/10.1002/eqe.2807.
Moghaddasi, M., M. Cubrinovski, J. G. Chase, S. Pampanin, and A. Carr. 2011. “Probabilistic evaluation of soil-foundation-structure interaction effects on seismic structural response.” Earthquake Eng. Struct. Dyn. 40 (2): 135–154. https://doi.org/10.1002/eqe.1011.
MOHURD (Ministry of Housing and Urban-Rural Development). 2010a. Code for design of concrete structures. GB50010-2010. Beijing: MOHURD.
MOHURD (Ministry of Housing and Urban-Rural Development). 2010b. Code for seismic design of buildings. GB50011-2010. Beijing: MOHURD.
Ng, C. W. W., C. X. Qu, R. W. M. Cheung, H. W. Guo, J. J. Ni, Y. B. Chen, and S. Zhang. 2021. “Risk assessment of soil slope failure considering copula-based rotated anisotropy random fields.” Comput. Geotech. 136 (Aug): 104252. https://doi.org/10.1016/j.compgeo.2021.104252.
Ng, C. W. W., C. X. Qu, J. J. Ni, and H. W. Guo. 2022. “Three-dimensional reliability analysis of unsaturated soil slope considering permeability rotated anisotropy random fields.” Comput. Geotech. 151 (Nov): 104944. https://doi.org/10.1016/j.compgeo.2022.104944.
Qu, C. X., G. Wang, K. W. Feng, and Z. D. Xia. 2021. “Large deformation analysis of slope failure using material point method with cross-correlated random fields.” J. Zhejiang Univ. Sci. A. 22 (11): 856–869. https://doi.org/10.1631/jzus.A2100196.
Song, J., Y. Gao, and T. Feng. 2020. “Influence of interactions between topographic and soil layer amplification on seismic response of sliding mass and slope displacement.” Soil Dyn. Earthquake Eng. 129 (Feb): 105901. https://doi.org/10.1016/j.soildyn.2019.105901.
Stafford, P. J., B. D. Zurek, M. Ntinalexis, and J. J. Bommer. 2019. “Extensions to the Groningen ground-motion model for seismic risk calculations: Component-to-component variability and spatial correlation.” Bull. Earthquake Eng. 17 (Sep): 4417–4439. https://doi.org/10.1007/s10518-018-0425-6.
Sun, Q., X. Guo, and D. Dias. 2020. “Evaluation of the seismic site response in randomized velocity profiles using a statistical model with Monte Carlo simulations.” Comput. Geotech. 120 (Apr): 103442. https://doi.org/10.1016/j.compgeo.2020.103442.
Wang, F., and K. Sett. 2016. “Time-domain stochastic finite element simulation of uncertain seismic wave propagation through uncertain heterogeneous solids.” Soil Dyn. Earthquake Eng. 88 (Sep): 369–385. https://doi.org/10.1016/j.soildyn.2016.07.011.
Wang, F. B., and K. Sett. 2019. “Time domain stochastic finite element simulation towards probabilistic seismic soil-structure interaction analysis.” Soil Dyn. Earthquake Eng. 116 (Jan): 460–475. https://doi.org/10.1016/j.soildyn.2018.10.021.
Wang, M. X., D. Q. Li, and W. Q. Du. 2021. “Probabilistic seismic displacement hazard assessment of earth slopes incorporating spatially random soil parameters.” J. Geotech. Geoenviron. Eng. 147 (11): 04021119. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002671.
Xiao, T., D. Q. Li, Z. J. Cao, S. K. Au, and K. K. Phoon. 2016. “Three-dimensional slope reliability and risk assessment using auxiliary random finite element method.” Comput. Geotech. 79 (Oct): 146–158. https://doi.org/10.1016/j.compgeo.2016.05.024.
Xie, Y. Z., and D. Reginald. 2019. “Sensitivity of seismic demands and fragility estimates of a typical California highway bridge to uncertainties in its soil-structure interaction modeling.” Eng. Struct. 189 (Jun): 605–617. https://doi.org/10.1016/j.engstruct.2019.03.115.
Yoshimura, C., J. Bielak, L. Kostas, H. Yoshiaki, and F. Antonio. 2003. “Domain reduction method for three-dimensional earthquake modeling in localized regions, Part II: Verification and applications.” Bull. Seismol. Soc. Am. 93 (2): 825–841. https://doi.org/10.1785/0120010252.
Zhang, L., J. T. Wang, Y. J. Xu, C. H. He, and C. H. Zhang. 2020. “A procedure for 3D seismic simulation from rupture to structures by coupling SEM and FEM.” Bull. Seismol. Soc. Am. 110 (3): 1134–1148. https://doi.org/10.1785/0120190289.
Zhang, W. Y., D. Restrepo, J. G. F. Crempien, B. Erkmen, R. Taborda, and A. Kurtulus. 2021. “A computational workflow for rupture-to-structural-response simulation and its application to Istanbul.” Earthquake Eng. Struct. Dyn. 50 (1): 177–196. https://doi.org/10.1002/eqe.3377.
Zhang, X. F., and H. Far. 2022. “Effects of dynamic soil-structure interaction on seismic behaviour of high-rise buildings.” Bull. Earthquake Eng. 20 (7): 3443–3467. https://doi.org/10.1007/s10518-021-01176-z.
Zhang, Z., J. A. Fleurisson, and F. Pellet. 2018. “The effects of slope topography on acceleration amplification and interaction between slope topography and seismic input motion.” Soil Dyn. Earthquake Eng. 113 (Oct): 420–431. https://doi.org/10.1016/j.soildyn.2018.06.019.
Zhang, Z. Y., H. Y. Wei, and X. Qin. 2017. “Experimental study on damping characteristics of soil-structure interaction system based on shaking table test.” Soil Dyn. Earthquake Eng. 98 (Jul): 183–190. https://doi.org/10.1016/j.soildyn.2017.04.002.
Zhuang, H. Y., J. S. Fu, X. Yu, S. Chen, and X. H. Cai. 2019. “Earthquake responses of a base-isolated structure on a multi-layered soft soil foundation by using shaking table tests.” Eng. Struct. 179 (Jan): 79–91. https://doi.org/10.1016/j.engstruct.2018.10.060.

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Go to ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 10Issue 1March 2024

History

Received: Jul 11, 2023
Accepted: Oct 19, 2023
Published online: Jan 4, 2024
Published in print: Mar 1, 2024
Discussion open until: Jun 4, 2024

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Hongjie Fang
Ph.D. Student, State Key Laboratory of Water Resources Engineering and Management, Wuhan Univ., Wuhan 430072, China; Ph.D. Student, School of Water Resources and Hydropower Engineering, Wuhan Univ., Wuhan 430072, China.
Zhichao Lai, A.M.ASCE
Professor, College of Civil Engineering, Fuzhou Univ., Fuzhou 350108, China.
Ph.D. Candidate, Dept. of Civil and Environmental Engineering, Hong Kong Univ. of Science and Technology, Hong Kong SAR 999077, China (corresponding author). ORCID: https://orcid.org/0000-0003-2717-4812. Email: [email protected]

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