Seismic Response of Embankment Dams with Asphalt–Concrete Cores Based on the Three-Dimensional Time-Domain Inversion of Ground Motions
Publication: International Journal of Geomechanics
Volume 24, Issue 3
Abstract
In this paper, the three-dimensional time-domain inversion of ground motions and its application are performed. The relationship between the incident wave time series and design ground motions is established, and the oblique incident wave time history is inverted. Subsequently, the free field is constructed based on the three-dimensional inversion of ground motions as an accurate solution. The errors based on the one- and two-dimensional inversions relative to the three-dimensional inversion are analyzed, and the errors with the incident angles, site sizes, and material parameters are revealed. Finally, the seismic responses of a canyon and an embankment dam with asphalt–concrete core are studied. The results show that the three-dimensional inversion of ground motions considers the oblique incidence angles, and the constructed three-dimensional nonuniform ground motions are more comprehensive. With regard to the core wall, the acceleration amplification effect obtained based on the three-dimensional inversion is the most significant, and the tensile failure area is the largest. Compared with the three-dimensional inversion, the tensile stress based on the two- and one-dimensional inversions is reduced by 57.1% and 20%, respectively. Therefore, the influence of the three-dimensional inversion on the seismic responses should be considered during the seismic designing of dams near faults.
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Data Availability Statement
Some data and models that support the findings of this study are available from the corresponding author upon reasonable request, including the numerical verification of the wave input model and the numerical calculation data of the embankment dam with an asphalt–concrete core.
Acknowledgments
This work is supported by the Key Program of the National Natural Science Foundation of China (No. 52039008), the Natural Science Basic Research Program of Shaanxi Province (No. 2022JM-276), the Open Research Fund Program of State Key Laboratory of Eco-hydraulics in Northwest Arid Region, Xi’an University of Technology (No. 2022KFKT-9), and the Talents Introduction Project of Xihua University (No. Z222071).
References
Cen, W. J., X. H. Du, D. J. Li, and L. N. Yuan. 2018. “Oblique incidence of seismic wave reflecting two components of design ground motion.” Shock Vib. 2018: 4127031. https://doi.org/10.1155/2018/4127031.
Chen, H., D. Liu, and L. Qi. 2018. “Spatial estimation of material parameters and refined finite-element analysis of rockfill dam based on construction digitization.” Int. J. Geomech. 18 (10): 04018119. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001232.
Chen, H. Q. 2006. “Discussion on seismic input mechanism at dam site.” [In Chinese.] J. Hydraul. Eng. 37 (12): 1417–1423.
Chen, H. Q., S. Z. Hou, and J. Wang. 1990. “Earthquake input and free-field motion response of arch dams.” [In Chinese.] Earthquake Eng. Eng. Vibr. 10 (2): 53–64.
Chen, H.-Q., D.-Y. Li, and S.-S. Guo. 2014. “Damage–rupture process of concrete dams under strong earthquakes.” Int. J. Struct. Stab. Dyn. 14 (7): 1450021. https://doi.org/10.1142/S0219455414500217.
Chen, Q. J., and T. Liu. 2010. “Comparison of two methods of ground motion inversion and discussion on question of frequency cut-off.” [In Chinese.] Chin. Q. Mech. 31 (3): 388–394.
Chopra, A. K. 2012. “Earthquake analysis of arch dams: Factors to be considered.” J. Struct. Eng. 138 (2): 205–214. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000431.
Du, X., and M. Zhao. 2010. “A local time-domain transmitting boundary for simulating cylindrical elastic wave propagation in infinite media.” Soil Dyn. Earthquake Eng. 30 (10): 937–946. https://doi.org/10.1016/j.soildyn.2010.04.004.
Du, X. L., M. Zhao, and J. T. Wang. 2006. “A stress artificial boundary in FEA for near-field wave problem.” [In Chinese.] Chin. J. Theor. App. Mech. 38 (1): 49–56.
Feldgun, V. R., Y. S. Karinski, D. Z. Yankelevsky, and A. V. Kochetkov. 2016. “A new analytical approach to reconstruct the acceleration time history at the bedrock base from the free surface signal records.” Soil Dyn. Earthquake Eng. 85: 19–30. https://doi.org/10.1016/j.soildyn.2016.03.003.
Gao, Y., Q. Gu, Z. Qiu, and J. Wang. 2016. “Seismic response sensitivity analysis of coupled dam–reservoir–foundation systems.” J. Eng. Mech. 142 (10): 04016070. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001124.
Ghahari, S. F., F. Abazarsa, C. Jeong, A. Kurtulus, and E. Taciroglu. 2018. “Blind identification of site effects and bedrock motion from surface response signals.” Soil Dyn. Earthquake Eng. 107: 322–331. https://doi.org/10.1016/j.soildyn.2018.01.045.
He, W. P., K. Xiong, and X. C. Lu. 2019. “Influence of deterministic spatial variation of motions on seismic response of gravity dam.” [In Chinese.] J. Hydraul. Eng. 50 (8): 913–924. https://doi.org/10.13243/j.cnki.slxb.20190127.
Huang, J.-Q., X.-L. Du, L. Jin, and M. Zhao. 2016. “Impact of incident angles of P waves on the dynamic responses of long lined tunnels.” Earthquake Eng. Struct. Dyn. 45 (15): 2435–2454. https://doi.org/10.1002/eqe.2772.
Huang, J. Q., M. Zhao, and X. L. Du. 2017. “Non-linear seismic responses of tunnels within normal fault ground under obliquely incident P waves.” Tunnelling Underground Space Technol. 61: 26–39. https://doi.org/10.1016/j.tust.2016.09.006.
Jeong, C., and S. E. Esmaeilzadeh. 2018. “Seismic input motion identification in a heterogeneous halfspace.” J. Eng. Mech. 144 (8): 04018070. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001495.
Jin, A.-Y., J.-W. Pan, J.-T. Wang, and C. Zhang. 2019. “Effect of foundation models on seismic response of arch dams.” Eng. Struct. 188: 578–590. https://doi.org/10.1016/j.engstruct.2019.03.048.
Jin, X., and Z. P. Liao. 1994. “Statistical research on S-wave incident angle.” [In Chinese.] Earthquake Res. China 8 (1): 121–131.
Ju, S. H. 2013. “A deconvolution scheme for determination of seismic loads in finite-element analyses.” Bull. Seismol. Soc. Am. 103 (1): 258–267. https://doi.org/10.1785/0120120034.
Liang, J., A. Zhang, Y. He, and P. Zhang. 2019. “2D nonlinear inversion of bedrock motion from the surface motion of a layered half-space.” Eng. Anal. Boundary Elem. 106: 149–159. https://doi.org/10.1016/j.enganabound.2019.05.009.
Liu, J., H. Tan, X. Bao, D. Wang, and S. Li. 2019. “Seismic wave input method for three-dimensional soil–structure dynamic interaction analysis based on the substructure of artificial boundaries.” Earthquake Eng. Eng. Vibr. 18: 747–758. https://doi.org/10.1007/s11803-019-0534-5.
Løkke, A., and A. K. Chopra. 2018. “Direct finite element method for nonlinear earthquake analysis of 3-dimensional semi-unbounded dam–water–foundation rock systems.” Earthquake Eng. Struct. Dyn. 47 (5): 1309–1328. https://doi.org/ 10.1002/eqe.3019.
Maeso, O., J. J. Aznárez, and J. Domínguez. 2002. “Effects of space distribution of excitation on seismic response of arch dams.” J. Eng. Mech. 128: 759–768. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:7(759).
Ning, Z. Y., Y. H. Liu, and W. B. Wang. 2021. “Compressive behavior of hydraulic asphalt concrete under different temperatures and strain rates.” J. Mater. Civ. Eng. 33 (4): 04021013. https://doi.org/10.1061/(ASCE)MT.1943-5533.0003594.
Pan, X. D., T. L. Dong, Y. Q. Cai, and C. J. Xu. 2006. “Study on stationary earthquake motion input at bedrock under nonlinear layered soils.” [In Chinese.] J. Vib. Eng. 19 (2): 246–251.
Song, Z., F. Wang, Y. Li, and Y. Liu. 2019. “Nonlinear seismic responses of the powerhouse of a hydropower station under near-fault plane P-wave oblique incidence.” Eng. Struct. 199: 109613. https://doi.org/10.1016/j.engstruct.2019.109613.
Sun, B., M. Deng, S. Zhang, W. Cui, C. Wang, L. Yu, and K. Cao. 2020a. “Inelastic dynamic analysis and damage assessment of a hydraulic arched tunnel under near-fault SV waves with arbitrary incoming angles.” Tunnelling Underground Space Technol. 104: 103523. https://doi.org/10.1016/j.tust.2020.103523.
Sun, B., M. Deng, S. Zhang, C. Wang, and M. Du. 2022. “Seismic performance assessment of high asphalt concrete core rockfill dam considering shorter duration and longer duration.” Structures 39: 1204–1214. https://doi.org/10.1016/j.istruc.2022.03.040.
Sun, B., S. Zhang, W. Cui, M. Deng, and C. Wang. 2020b. “Nonlinear dynamic response and damage analysis of hydraulic arched tunnels subjected to P waves with arbitrary incoming angles.” Comput. Geotech. 118: 103358. https://doi.org/10.1016/j.compgeo.2019.103358.
Takahiro, S., K. Kiyohara, Y. Sono, D. Kinosita, T. Masao, R. Tamura, C. Yoshimura, and T. Ugata. 2000. “Estimation of earthquake motion incident angle at rock site.” In Proc., 12th World Conf. on Earthquake Engineering, 0956. Auckland, New Zealand: International Association for Earthquake Engineering (IAEE).
Wang, F., Z. Song, Y. Liu, and C. Li. 2023. “Response characteristics and tensile failure evaluation of asphalt concrete core wall under spatial oblique incidence of P-wave.” Eng. Struct. 276: 115340. https://doi.org/10.1016/j.engstruct.2022.115340.
Wang, F., Z. Song, Y. Liu, B. Luo, and W. Zhang. 2021. “Construction of the spatially varying ground motion field of a bedrock-overburden layer site and its influence on the seismic response of earth-rock dams.” Arabian J. Geosci. 14 (18): 1–20. https://doi.org/10.1007/s12517-021-08295-6.
Wang, J.-T., D.-D. Lv, F. Jin, and C.-H. Zhang. 2013. “Earthquake damage analysis of arch dams considering dam–water–foundation interaction.” Soil Dyn. Earthquake Eng. 49: 64–74. https://doi.org/10.1016/j.soildyn.2013.02.006.
Wang, J.-T., C.-H. Zhang, and F. Jin. 2012. “Nonlinear earthquake analysis of high arch dam–water–foundation rock systems.” Earthquake Eng. Struct. Dyn. 41 (7): 1157–1176. https://doi.org/10.1002/eqe.1178.
Yao, Y., R. Wang, T. Liu, and J.-M. Zhang. 2019. “Seismic response of high concrete face rockfill dams subjected to non-uniform input motion.” Acta Geotech. 14 (1): 83–100. https://doi.org/10.1007/s11440-018-0632-y.
Zhang, J., M. Li, S. Han, and G. Deng. 2021. “Estimation of seismic wave incident angle using vibration response data and stacking ensemble algorithm.” Comput. Geotech. 137: 104255. https://doi.org/10.1016/j.compgeo.2021.104255.
Zhuang, H., J. Ren, Y. Miao, L. Jing, E. Yao, and C. Xu. 2021. “Seismic performance levels of a large underground subway station in different soil foundations.” J. Earthquake Eng. 25: 2808–2833. https://doi.org/10.1080/13632469.2019.1651423.
Zou, D., H. Han, J. Liu, D. Yang, and X. Kong. 2017. “Seismic failure analysis for a high concrete face rockfill dam subjected to near-fault pulse-like ground motions.” Soil Dyn. Earthquake Eng. 98: 235–243. https://doi.org/ 10.1016/j.soildyn.2017.03.031.
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Published In
International Journal of Geomechanics
Volume 24 • Issue 3 • March 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Apr 27, 2023
Accepted: Sep 22, 2023
Published online: Jan 12, 2024
Published in print: Mar 1, 2024
Discussion open until: Jun 12, 2024
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