Real-Time Seismic Damage Assessment of Various Bridge Types Using a Nonlinear Three-Stage Least Squares Approach
Publication: Journal of Infrastructure Systems
Volume 26, Issue 3
Abstract
In the event of a strong earthquake, the motorway administrator will likely have to interrupt network operations to inspect potentially damaged bridges. Although continuing operation without inspection may be dangerous for motorway users, unnecessary interruption may have adverse consequences, especially with respect to rescue operations. This calls for development and implementation of a RApid REsponse (RARE) system, which will facilitate rationalized decisions. Such system requires real-time assessment of the seismic damage of motorway infrastructure, including which bridges are arguably the most vulnerable. This study addresses the issue by combining nonlinear finite element (FE) simulations with advanced econometric modeling. Based on a published simplified modeling approach and classification schemes, simplified FE models of characteristic bridge categories are developed, accounting for key structural components (pier, deck, abutment bearings, abutment stoppers) and soil-structure interaction. Employing the three-stage least squares (3SLS) approach, the data from the FE analyses are used to develop a relationship among the seismic damage (using the maximum and residual drift ratio, and the ratio of maximum ductility demand over ductility capacity as damage indices) of the bridge and the statistically significant intensity measures. The proposed 3SLS approach accounts for (1) both simultaneous equation bias and cross-equation contemporaneous correlation of the disturbances (error terms) caused by shared unobserved effects across the damage indices; (2) endogeneity among the damage indices with the use of instrumental variables; and (3) unobserved heterogeneity and panel effects, through the use of fixed effects. The 3SLS approach is compared to a traditional ordinary least squares (OLS) regression, and the comparison depicts the superiority of 3SLS in terms of explanatory power and forecasting accuracy.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
References
Agalianos, A., L. Sakellariadis, and I. Anastasopoulos. 2017. “Simplified method for the assessment of the seismic response of motorway bridges: Longitudinal direction—Accounting for abutment stoppers.” Bull. Earthquake Eng. 15 (10): 4133–4162. https://doi.org/10.1007/s10518-017-0127-5.
Aktan, A. E., D. N. Farhey, D. L. Brown, V. Dalal, A. J. Helmicki, V. J. Hunt, and S. J. Shelley. 1996. “Condition assessment for bridge management.” J. Infrastruct. Syst. 2 (3): 108–117. https://doi.org/10.1061/(ASCE)1076-0342(1996)2:3(108).
Alessandri, A., R. Giannini, and F. Paolacci. 2013. “Aftershock risk assessment and the decision to open traffic on bridges.” Earthquake Eng. Struct. Dyn. 42 (15), 2255–2275. https://doi.org/10.1002/eqe.2324.
Anastasopoulos, I., P. C. Anastasopoulos, A. Agalianos, and L. Sakellariadis. 2015a. “Simple method for real-time seismic damage assessment of bridges.” Soil Dyn. Earthquake Eng. 78 (Nov): 201–212. https://doi.org/10.1016/j.soildyn.2015.07.005.
Anastasopoulos, I., P. C. Anastasopoulos, L. Sakellariadis, A. Agalianos, R. Kourkoulis, F. Gelagoti, and G. Gazetas. 2018. “Development of RApid Response (RARE) system for motorway bridges: Overview and pilot application to Attiki Odos motorway.” Int. J. Geoeng. Case Histories 4 (4), 306–326. https://doi.org/10.4417/IJGCH-04-04-06.
Anastasopoulos, I., L. Sakellariadis, and A. Agalianos. 2015b. “Seismic analysis of motorway bridges accounting for key structural components and nonlinear soil–structure interaction.” Soil Dyn. Earthquake Eng. 78 (Nov): 127–141. https://doi.org/10.1016/j.soildyn.2015.06.016.
Anastasopoulos, P. C., S. Labi, B. G. McCullouch, M. G. Karlaftis, and F. Moavenzadeh. 2010. “Influence of highway project characteristics on contract type selection: Empirical assessment.” J. Infrastruct. Syst. 16 (4): 323–333. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000035.
Anastasopoulos, P. C., and F. L. Mannering. 2014. “Analysis of pavement overlay and replacement performance using random parameters hazard-based duration models.” J. Infrastruct. Syst. 21 (1): 04014024. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000208.
Anastasopoulos, P. C., F. L. Mannering, and J. E. Haddock. 2012. “Random parameters seemingly unrelated equations approach to the postrehabilitation performance of pavements.” J. Infrastruct. Syst. 18 (3): 176–182. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000096.
Androutselis, T. 2015. “Seismic damage assessment of representative motorway bridges: A three-stage least squares approach.” M.Sc. thesis, Dept. of Civil, Structural and Environmental Engineering, Univ. at Buffalo, State Univ. of New York.
Anwaar, A., P. C. Anastasopoulos, G. Ong, S. Labi, and M. Islam. 2012. “Factors affecting highway safety, health care services, and motorization: An exploratory empirical analysis using aggregate data.” J. Transp. Saf. Secur. 4 (2): 94–115. https://doi.org/10.1080/19439962.2011.619372.
Bensi, M., A. Der Kiureghian, and D. Straub. 2009. “A Bayesian network framework for post-earthquake infrastructure system performance assessment.” In Proc., Technical Council on Lifeline Eartquake Engineering, Conf. (TCLEE). Reston, VA: ASCE.
Bhargava, A., P. C. Anastasopoulos, S. Labi, K. C. Sinha, and F. L. Mannering. 2010. “Three-stage least-squares analysis of time and cost overruns in construction contracts.” J. Constr. Eng. Manage. 136 (11): 1207–1218. https://doi.org/10.1061/(ASCE)CO.1943-7862.0000225.
Codermatz, R., R. Nicolich, and D. Slejko. 2003. “Seismic risk assessments and GIS technology: Applications to infrastructures in the Friuli-Venezia Giulia region (NE Italy).” Earthquake Eng. Struct. Dyn. 32 (11): 1677–1690. https://doi.org/10.1002/eqe.294.
Dong, Y., and D. Frangopol. 2014. “Risk and resilience assessment of bridges under mainshock and aftershocks incorporating uncertainties.” Eng. Struct. 83 (Jan), 198–208. https://doi.org/10.1016/j.engstruct.2014.10.050.
Eker, U., S. Ahmed, G. Fountas, and P. C. Anastasopoulos. 2019. “An exploratory investigation of public perceptions towards safety and security from the future use of flying cars in the United States.” Anal. Methods Acc. Res. 23 (Sep): 100103. https://doi.org/10.1016/j.amar.2019.100103.
Eker, U., G. Fountas, P. C. Anastasopoulos, and S. Still. 2020. “An exploratory investigation of public perceptions towards key benefits and concerns from the future use of flying cars.” Travel Behav. Soc. 19 (Apr): 54–66. https://doi.org/10.1016/j.tbs.2019.07.003.
Erdik, M., Y. Fahjan, O. Ozel, H. Alcık, A. Mert, and M. Gul. 2003. “Istanbul earthquake rapid response and early warning system.” Bull. Earthquake Eng. 1 (1): 157–163. https://doi.org/10.1023/A:1024813612271.
Erdik, M., K. Sesetyan, M. B. Demircioglu, U. Hancilar, and C. Zulfikar. 2011. “Rapid earthquake loss assessment after damaging earthquakes.” Soil Dyn. Earthquake Eng. 31 (2): 247–266. https://doi.org/10.1016/j.soildyn.2010.03.009.
Fountas, G., and P. C. Anastasopoulos. 2017. “A random thresholds random parameters hierarchical ordered probit analysis of highway accident injury-severities.” Anal. Methods Acc. Res. 15 (Sep): 1–16. https://doi.org/10.1016/j.amar.2017.03.002.
Fountas, G., and P. C. Anastasopoulos. 2018. “Analysis of accident injury-severity outcomes: The zero-inflated hierarchical ordered probit model with correlated disturbances.” Anal. Methods Acc. Res. 20 (Dec): 30–45. https://doi.org/10.1016/j.amar.2018.09.002.
Fountas, G., P. C. Anastasopoulos, and M. Abdel-Aty. 2018a. “Analysis of accident injury-severities using a correlated random parameters ordered probit approach with time variant covariates.” Anal. Methods Acc. Res. 18 (Jun): 57–68. https://doi.org/10.1016/j.amar.2018.04.003.
Fountas, G., P. C. Anastasopoulos, and F. Mannering. 2018b. “Analysis of vehicle accident-injury severities: A comparison of segment- versus accident-based latent-class ordered probit models with class-probability functions.” Anal. Methods Acc. Res. 18 (Jun): 15–32. https://doi.org/10.1016/j.amar.2018.03.003.
Fountas, G., S. S. Pantangi, K. F. Hulme, and P. C. Anastasopoulos. 2019. “The effects of driver fatigue, gender, and distracted driving on perceived and observed aggressive driving behavior: A correlated grouped random parameters bivariate probit approach.” Anal. Methods Acc. Res. 22 (Jun): 100091. https://doi.org/10.1016/j.amar.2019.100091.
Fountas, G., M. T. Sarwar, P. C. Anastasopoulos, A. Blatt, and K. Majka. 2018c. “Analysis of stationary and dynamic factors affecting highway accident occurrence: A dynamic correlated random parameters binary logit approach.” Accid. Anal. Prev. 113 (Apr): 330–340. https://doi.org/10.1016/j.aap.2017.05.018.
Francini, M., S. Artese, S. Gaudio, A. Palermo, and M. F. Viapiana. 2018. “To support urban emergency planning: A GIS instrument for the choice of optimal routes based on seismic hazards.” Int. J. Disaster Risk Reduct. 31 (Oct): 121–134. https://doi.org/10.1016/j.ijdrr.2018.04.020.
Garini, E., and G. Gazetas. 2013. “Damage potential of near-fault records: Sliding displacement against conventional ‘Intensity Measures’.” Bull. Earthquake Eng. 11 (2): 455–480. https://doi.org/10.1007/s10518-012-9397-0.
Ghobarah, A. 2004. “On drift limits associated with different damage levels.” In Vol. 28 of Performance-Based Seismic Design Concepts and Implementation: Proc., Int. Workshop, 321–332. Berkeley, CA: Univ. of California.
Guo, Y., J. Wang, S. Peeta, and P. C. Anastasopoulos. 2018. “Impacts of internal migration, household registration system, and family planning policy on travel mode choice in China.” Travel Behav. Soc. 13 (Jul): 128–143. https://doi.org/10.1016/j.tbs.2018.07.003.
Hsu, Y. T., and S. Peeta. 2014. “Risk-based spatial zone determination problem for stage-based evacuation operations.” Transp. Res. Part C: Emerg. Technol. 41 (Apr): 73–89. https://doi.org/10.1016/j.trc.2014.01.013.
Jordan, G., P. C. Anastasopoulos, S. Peeta, S. Somenahali, and P. Rogerson. 2019. “Identifying elderly travel time disparities using a correlated grouped random parameters hazard-based duration approach.” Res. Transp. Bus. Manage. 30 (Mar): 100369. https://doi.org/10.1016/j.rtbm.2019.100369.
Kalafatas, G., and S. Peeta. 2009. “Planning for evacuation: Insights from an efficient network design model.” J. Infrastruct. Syst. 15 (1): 21–30. https://doi.org/10.1061/(ASCE)1076-0342(2009)15:1(21).
Kleiner, Y., and B. Rajani. 2002. “Forecasting variations and trends in water-main breaks.” J. Infrastruct. Syst. 8 (4): 122–131. https://doi.org/10.1061/(ASCE)1076-0342(2002)8:4(122).
Koutsourelakis, S., J. H. Prévost, and G. Deodatis. 2002. “Risk assessment of an interacting structure–soil system due to liquefaction.” Earthquake Eng. Struct. Dyn. 31 (4): 851–879. https://doi.org/10.1002/eqe.125.
Kwon, O., and A. Elnashai. 2010. “Fragility analysis of a highway over-crossing bridge with consideration of soil–structure interactions.” Struct. Insfrastruct. Eng. 6 (1–2): 159–178. https://doi.org/10.1080/15732470802663870.
Loggins, R. A., and W. A. Wallace. 2015. “Rapid assessment of hurricane damage and disruption to interdependent civil infrastructure systems.” J. Infrastruct. Syst. 21 (4): 04015005. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000249.
Nahidi, S., G. Fountas, S. Sarvani, M. T. Sarwar, and P. C. Anastasopoulos. 2017. “Project discrepancies in roadway construction and preservation: A statistical analysis of public-private partnership contract types in the US.” Front. Built Environ. 3 (Mar): 15. https://doi.org/10.3389/fbuil.2017.00015.
Nazarian, E., T. Taylor, T. Weifeng, and F. Ansari. 2018. “Machine-learning-based approach for post event assessment of damage in a turn-of-the-century building structure.” J. Civ. Struct. Health Monit. 8 (2): 237–251. https://doi.org/10.1007/s13349-018-0275-6.
Nikoo, N., M. Babaei, and A. S. Mohaymany. 2018. “Emergency transportation network design problem: Identification and evaluation of disaster response routes.” Int. J. Disaster Risk Reduct. 27 (Mar): 7–20. https://doi.org/10.1016/j.ijdrr.2017.07.003.
Nuttli, O. W. 1979. The relation of sustained maximum ground acceleration and velocity to earthquake intensity and magnitude. Vicksburg, MS: US Army Engineer Water-Ways Experiment Station.
Padgett, J., B. Nelson, and R. DesRoches. 2008. “Selection of optimal intensity measures in probabilistic seismic demand models of highway bridge portfolios.” Earthquake Eng. Struct. Dyn. 37 (5): 711–725. https://doi.org/10.1002/eqe.782.
Pitilakis, K., M. Alexoudi, S. Argyroudis, O. Monge, and C. Martin. 1996. “Earthquake risk assessment of lifelines.” Bull. Earthquake Eng. 4 (4): 365–390. https://doi.org/10.1007/s10518-006-9022-1.
Priestley, M. J. N., F. Seible, and G. M. Calvi. 1996. Seismic design and retrofit of bridges. New York: Wiley.
Sakellariadis, L., A. Agalianos, and I. Anastasopoulos. 2018. “Simplified method for real-time seismic damage assessment of motorway bridges: Transverse direction—Accounting for abutment stoppers.” Earthquake Eng. Struct. Dyn. 47 (6): 1496–1521. https://doi.org/10.1002/eqe.3027.
Sarma, S. K., and K. S. Yang. 1987. “An evaluation of strong motion records and a new parameter A95.” Earthquake Eng. Struct. Dyn. 15 (1): 119–132. https://doi.org/10.1002/eqe.4290150109.
Sarvani, S. P., G. Fountas, T. Sarwar, P. C. Anastasopoulos, A. Blatt, K. Majka, J. Pierowicz, and S. Mohan. 2019. “A preliminary investigation of the effectiveness of high visibility enforcement programs using Strategic Highway Research Program 2 naturalistic driving study data.” Anal. Methods Acc. Res. 21 (Feb): 1–12. https://doi.org/10.1016/j.amar.2018.10.003.
Sarwar, M. T., and P. C. Anastasopoulos. 2016. “A three-stage least squares analysis of post-rehabilitation pavement performance.” Transp. Res. Rec. 2589 (1): 97–109. https://doi.org/10.3141/2589-11.
Sarwar, M. T., and P. C. Anastasopoulos. 2017. “The effect of long term non-invasive pavement deterioration on accident injury-severity rates: A seemingly unrelated and multivariate equations approach.” Anal. Methods Acc. Res. 13 (Mar): 1–15. https://doi.org/10.1016/j.amar.2016.10.003.
Sarwar, M. T., P. C. Anastasopoulos, N. Golshani, and K. F. Hulme. 2017a. “Grouped random parameters bivariate probit analysis of perceived and observed aggressive driving behavior: A driving simulation study.” Anal. Methods Acc. Res. 13 (Mar), 52–64. https://doi.org/10.1016/j.amar.2016.12.001.
Sarwar, M. T., G. Fountas, and P. C. Anastasopoulos. 2017b. “Simultaneous estimation of discrete outcome and continuous dependent variable equations: A bivariate random effects modeling approach with unrestricted instruments.” Anal. Methods Acc. Res. 16 (Dec): 23–34. https://doi.org/10.1016/j.amar.2017.05.002.
Sarwar, M. T., G. Fountas, and P. C. Anastasopoulos. 2017c. “Simultaneous estimation of discrete outcome and continuous variable equations: A random effects modeling approach with unrestricted instruments.” Anal. Methods Acc. Res. 16 (Dec): 23–34. https://doi.org/10.1016/j.amar.2017.05.002.
Sarwar, M. T., G. Fountas, C. Bentley, P. C. Anastasopoulos, A. Blatt, J. Pierowicz, K. Majka, and R. Limoges. 2017d. “Preliminary investigation of the effectiveness of high-visibility crosswalks on pedestrian safety using crash surrogates.” Transp. Res. Rec. 2659 (1): 182–191. https://doi.org/10.3141/2659-20.
Shiraki, N., M. Shinozuka, J. E. Moore, S. E. Chang, H. Kameda, and S. Tanaka. 2007. “System risk curves: Probabilistic performance scenarios for highway networks subject to earthquake damage.” J. Infrastruct. Syst. 13 (1): 43–54. https://doi.org/10.1061/(ASCE)1076-0342(2007)13:1(43).
Stefanidou, S., A. Sextos, A. Kotsoglou, N. Lesgidis, and A. Kappos. 2017. “Soil-structure interaction effects in analysis of seismic fragility of bridges using an intensity-based ground motion selection procedure.” Eng. Struct. 151 (Nov): 366–380. https://doi.org/10.1016/j.engstruct.2017.08.033.
Vamvatsikos, D., and C. A. Cornell. 2002. “Incremental dynamic analysis.” Earthquake Eng. Struct. Dyn. 31 (1): 491–514. https://doi.org/10.1002/eqe.141.
Von Thun, J. L., L. H. Rochim, G. A. Scott, and J. A. Wilson. 1988. “Earthquake ground motions for design and analysis of dams.” In Earthquake engineering and soil dynamics II—Recent advances in ground-motion evaluation: Geotechnical special publication, 463–481. Reston, VA: ASCE.
Wang, X., A. Shafieezadeh, and A. Ye. 2018. “Optimal intensity measures for probabilistic seismic demand modeling of extended pile-shaft-supported bridges in liquefied and laterally spreading ground.” Bull. Earthquake Eng. 16 (1): 229–257. https://doi.org/10.1007/s10518-017-0199-2.
Wang, X., A. Shafieezadeh, and A. Ye. 2019. “Optimal EDPs for post-earthquake damage assessment of extended pile-shaft-supported bridges subjected to transverse spreading.” Earthquake Spectra. 35 (3): 1367–1396. https://doi.org/10.1193/090417EQS171M.
Wang, Z., L. Dueñas-Osorio, and J. Padgett. 2012. “Optimal intensity measures for probabilistic seismic response analysis of bridges on liquefiable and non-liquefiable soils.” In Structure Congress 2012. Reston, VA: ASCE.
Washington, S., M. Karlaftis, and F. Mannering. 2011. Statistical and econometric methods for transportation data analysis. 2nd ed. Boca Raton, FL: Chapman & Hall/CRC Press.
Wolshon, B., and B. McArdle. 2009. “Temporospatial analysis of Hurricane Katrina regional evacuation traffic patterns.” J. Infrastruct. Syst. 15 (1): 12–20. https://doi.org/10.1061/(ASCE)1076-0342(2009)15:1(12).
Zhou, L., X. Wu, Z. Xu, and H. Fujita. 2018. “Emergency decision making for natural disasters: An overview.” Int. J. Disaster Risk Reduct. 27 (Sep): 567–576. https://doi.org/10.1016/j.ijdrr.2017.09.037.
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Journal of Infrastructure Systems
Volume 26 • Issue 3 • September 2020
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©2020 American Society of Civil Engineers.
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Received: Apr 27, 2019
Accepted: Jan 15, 2020
Published online: May 7, 2020
Published in print: Sep 1, 2020
Discussion open until: Oct 7, 2020
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