Technical Papers
Apr 11, 2023

An Integrated Uncertainty Quantification Framework for Probabilistic Seismic Hazard Analysis

Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 9, Issue 2

Abstract

Probabilistic seismic hazard analysis (PSHA) is a tool to quantify the annual rate of exceedance of seismic intensity measure at a location of interest. The present study investigates the uncertainty embedded in three PSHA parameters: magnitude of earthquake, source-to-site distance, and corresponding ground shaking. Although previous researchers have worked to quantify the uncertainty in these hazard parameters, the source-to-site distance uncertainty in PSHA has not been explicitly addressed to acquire more accurate and reliable seismic hazard estimates. This study develops an uncertainty quantification framework for PSHA considering source-to-site distance uncertainty, including interdependency between hazard parameters. To capture this uncertainty, an approach of considering grids in the area seismic source zone is adopted using a geographic information system (GIS) and implementing Latin hypercube sampling (LHS) to quantify the uncertainty of the occurrence of an earthquake at any distance from the site. The interaction of magnitude and source-to-site distance has been investigated using copula theory. As a part of practical implementation, PSHA of Silchar city in Northeast India is taken into consideration due to its tectonic features and high seismicity. This work applies two processes to quantify uncertainty: (1) considering the center point of a grid, and (2) stratified sampling of points within a grid by LHS. The results reveal that on applying LHS (with uncorrelated random events), the hazard increases due to discretization of the area sources, and robust consideration of uncertainty. While, in case of correlated random events, the hazard levels are relatively low. The results are being subjected to verification and are compared with the previous studies to ensure fulfilling specifications and its intended purpose. Structural designers and decision makers can utilize the developed PSHA framework to plan and build new projects and to evaluate the seismic risk of existing infrastructure in a city.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

All the data used for analysis, along with the associated computer programs, are available on request from the corresponding author.

Acknowledgments

The authors highly acknowledge the reviewers for their valuable comments that have enhanced the quality of the manuscript.

References

Anbazhagan, P., J. S. Vinod, and T. G. Sitharam. 2009. “Probabilistic seismic hazard analysis for Bangalore.” Nat. Hazard. 48 (2): 145–166. https://doi.org/10.1007/s11069-008-9253-3.
Bahuguna, A., and A. Sil. 2018. “Comprehensive seismicity, seismic sources and seismic hazard assessment of Assam, North East India.” J. Earthquake Eng. 24 (2): 254–297. https://doi.org/10.1080/13632469.2018.1453405.
Baker, J. W. 2008. “An introduction to probabilistic seismic hazard analysis (PSHA).” Accessed March 21, 2023. https://www.jackwbaker.com/Publications/Baker_(2008)_Intro_to_PSHA_v1_3.pdf.
Baro, O., A. Kumar, and A. I. Zadeh. 2018. “Seismic hazard assessment of the Shillong plateau, India.” Geomatics Nat. Hazards Risk 9 (1): 841–861. https://doi.org/10.1080/19475705.2018.1494043.
Bhatia, S. C., M. R. Kumar, and H. K. Gupta. 1999. “A probabilistic seismic hazard map of India and adjoining regions.” Ann. Geofis. 42 (6): 1153–1164. https://doi.org/10.4401/ag-3777.
Bommer, J. J., and S. Akkar. 2012. “Consistent source-to-site distance metrics in ground-motion prediction equations and seismic source models for PSHA.” Earthquake Spectra 28 (1): 1–15. https://doi.org/10.1193/1.3672994.
Chen, W., and P. Molnar. 1990. “Source parameters of earthquakes and intraplate deformation beneath the Shillong plateau and the northern Indoburman ranges.” J. Geophys. Res. 95 (B8): 12527–12552. https://doi.org/10.1029/JB095iB08p12527.
Christou, V., P. Bocchini, M. J. Miranda, and A. Karamlou. 2018. “Effective sampling of spatially correlated intensity maps using hazard quantization: Application to seismic events.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 4 (1): 1–13. https://doi.org/10.1061/ajrua6.0000939.
Cornell, C. A. 1968. “Engineering seismic risk analysis.” Bull. Seismol. Soc. Am. 58 (5): 1583–1606. https://doi.org/10.1785/BSSA0580051583.
Das, S., I. D. Gupta, and V. K. Gupta. 2006. “A probabilistic seismic hazard analysis of Northeast India.” Earthquake Spectra 22 (1): 1–27. https://doi.org/10.1193/1.2163914.
Delavaud, E., F. Scherbaum, N. Kuehn, and T. Allen. 2012. “Testing the global applicability of ground-motion prediction equations for active shallow crustal regions.” Bull. Seismol. Soc. Am. 102 (2): 707–721. https://doi.org/10.1785/0120110113.
Devi, A., and S. Kalita. 2014. “Seismic hazard analysis of Northeast India and its adjoining region.” Int. J. Environ. Sci. 4 (4): 589–604. https://doi.org/10.6088/ijes.2014040400014.
Dhulipala, S. L. N. 2021. “Dysfunctionality hazard curve: Risk-based tool to support the resilient design of systems subjected to multihazards.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 7 (2): 1–13. https://doi.org/10.1061/AJRUA6.0001131.
Douglas, J. 2003. “Earthquake ground motion estimation using strong-motion records: A review of equations for the estimation of peak ground acceleration and response spectral ordinates.” Earth Sci. Rev. 61 (1–2): 43–104. https://doi.org/10.1016/S0012-8252(02)00112-5.
Dutta, S., and A. H. Gandomi. 2019. “Design of experiments for uncertainty quantification based on polynomial chaos expansion metamodels.” In Handbook of probabilistic models. Oxford, UK: Butterworth-Heinemann.
Dutta, S., and A. H. Gandomi. 2020. “Surrogate model-driven evolutionary algorithms: Theory and applications.” In Evolution in action: Past, present and future. Genetic and evolutionary computation. Berlin: Springer. https://doi.org/10.1007/978-3-030-39831-6_29.
Gupta, I. D. 2013. “Source-to-site distance distributions for area type of seismic sources used in PSHA applications.” Nat. Hazard. 66 (2): 485–499. https://doi.org/10.1007/s11069-012-0498-5.
Gupta, S. D., and D. R. Nandy. 1982. “Seismicity and tectonics of Meghalaya Plateau, Northeastern India.” In Proc., 7th Symp. on Earthquake Engineering, 19–24. Roorkee, Uttarakhand, India: Univ. of Roorkee.
Gutenberg, B., and C. F. Richter. 1945. “Frequency of earthquakes in California.” Nature 156 (3960): 371. https://doi.org/10.1038/156371a0.
Iervolino, I. 2013. “Probabilities and fallacies: Why hazard maps cannot be validated by individual earthquakes.” Earthquake Spectra 29 (3): 1125–1136. https://doi.org/10.1193/1.4000152.
Jain, S. K., A. D. Roshan, J. N. Arlekar, and P. C. Basu. 2000. “Empirical attenuation relationships for the Himalayan earthquakes based on Indian strong motion data.” In Proc., 6th Int. Conf. on Seismic Zonation, 12–15. Palm Springs, CA: Earthquake Engineering Research Institute.
Kayal, J. R. 1998. “Seismicity of northeast India and surroundings—Development over the past 100 years.” J. Geophys. 19 (1): 9–34.
Koda, M., A. H. Dogru, and J. H. Seinfeld. 1979. “Sensitivity analysis of partial differential equations with application to reaction and diffusion processes.” J. Comput. Phys. 30 (2): 259–282. https://doi.org/10.1016/0021-9991(79)90103-7.
Kramer, S. L. 1996. Geotechnical earthquake engineering. Hoboken, NJ: Prentice Hall.
Lin, P. S., and C. T. Lee. 2008. “Ground-motion attenuation relationships for subduction-zone earthquakes in Northeastern Taiwan.” Bull. Seismol. Soc. Am. 98 (1): 220–240. https://doi.org/10.1785/0120060002.
Ma, L., D. Conus, and P. Bocchini. 2022. “Optimal generation of multivariate seismic intensity maps using hazard quantization.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 8 (1): 1–14. https://doi.org/10.1061/ajrua6.0001210.
Nath, S. K., A. Raj, K. K. S. Thingbaijam, and A. Kumar. 2009. “Ground motion synthesis and seismic scenario in Guwahati city—A stochastic approach.” Seismol. Res. Lett. 80 (2): 233–242. https://doi.org/10.1785/gssrl.80.2.233.
NDMA. 2011. Development of probabilistic seismic hazard map of India technical report, 126. New Delhi, India: National Disaster Management Authority.
Ordaz, M., and D. Arroyo. 2016. “On uncertainties in probabilistic seismic hazard analysis.” Earthquake Spectra 32 (3): 1405–1418. https://doi.org/10.1193/052015EQS075M.
Peñarubia, H. C., et al. 2020. “Probabilistic seismic hazard analysis model for the Philippines.” Earthquake Spectra 36 (1_suppl): 44–68. https://doi.org/10.1177/8755293019900521.
Rosenblatt, M. 1955. “Remarks on some nonparametric estimates of a density function.” In Selected works of Murray Rosenblatt, 95–100. New York: Springer.
Roy, G., S. Choudhury, and S. Dutta. 2021. “An integral approach to probabilistic seismic hazard analysis and fragility assessment for reinforced concrete buildings.” J. Perform. Constr. Facil. 35 (6): 04021097. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001672.
Roy, G., S. Choudhury, and S. Dutta. 2022. “A case study of probabilistic seismic hazard analysis using grid-based approach in area sources and computation of hazard deaggregation.” In Vol. 19 Advances in structural mechanics and applications, edited by J.A. Fonseca de Oliveira Correia, S. Choudhury, and S. Dutta. Berlin: Springer. https://doi.org/10.1007/978-3-030-98335-2_32.
Scherbaum, F., E. Delavaud, and C. Riggelsen. 2009. “Model selection in seismic hazard analysis: An information-theoretic perspective.” Bull. Seismol. Soc. Am. 99 (6): 3234–3247. https://doi.org/10.1785/0120080347.
Sharma, M. L., J. Douglas, H. Bungum, and J. Kotadia. 2009. “Ground-motion prediction equations based on data from the Himalayan and Zagros regions.” J. Earthquake Eng. 13 (8): 1191–1210. https://doi.org/10.1080/13632460902859151.
Sharma, M. L., and S. Malik. 2006. “Probabilistic seismic hazard analysis and estimation of spectral strong ground motion on bed rock in north east India.” In Proc., 4th Int. Conf. on Earthquake Engineering. Taipei City, Taiwan: National Centre for Research on Earthquake Engineering.
Sheather, S. J. 2004. “Density estimation.” Stat. Sci. 19 (4): 588–597. https://doi.org/10.1214/088342304000000297.
Sil, A., and T. G. Sitharam. 2017. “Detection of local site conditions in Tripura and Mizoram using the topographic gradient extracted from remote sensing data and GIS techniques.” Nat. Hazard. Rev. 18 (2): 1–14. https://doi.org/10.1061/(ASCE)NH.1527-6996.0000228.
Sitharam, T. G., S. Kolathayar, and N. James. 2015. “Probabilistic assessment of surface level seismic hazard in India using topographic gradient as a proxy for site condition.” Geosci. Front. 6 (6): 847–859. https://doi.org/10.1016/j.gsf.2014.06.002.
Song, P. X. X., M. Li, and Y. Yuan. 2009. “Joint regression analysis of correlated data using Gaussian copulas.” Biometrics 65 (1): 60–68. https://doi.org/10.1111/j.1541-0420.2008.01058.x.
Tian, M., and X. T. Sheng. 2022. “Copula-based probabilistic approaches for predicting debris-flow runout distances in the Wenchuan earthquake zone.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 8 (1): 1–11. https://doi.org/10.1061/ajrua6.0001197.
Vanneste, K., S. Stein, T. Camelbeeck, and B. Vleminckx. 2018. “Insights into earthquake hazard map performance from shaking history simulations.” Sci. Rep 8 (1): 1–10. https://doi.org/10.1038/s41598-018-20214-6.
Zhou, Y., D. Zhang, H. Huang, and X. Yadong. 2022. “Effect of normal transformation methods on performance of multivariate normal distribution.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 8 (1): 1–14. https://doi.org/10.1061/ajrua6.0001198.

Information & Authors

Information

Published In

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 9Issue 2June 2023

History

Received: Nov 11, 2022
Accepted: Feb 4, 2023
Published online: Apr 11, 2023
Published in print: Jun 1, 2023
Discussion open until: Sep 11, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Geetopriyo Roy, S.M.ASCE [email protected]
Research Scholar, Dept. of Civil Engineering, National Institute of Technology Silchar, Silchar, Assam 788010, India. Email: [email protected]
Assistant Professor, Dept. of Civil Engineering, National Institute of Technology Silchar, Silchar, Assam 788010, India (corresponding author). ORCID: https://orcid.org/0000-0001-8877-0840. Email: [email protected]; [email protected]
Satyabrata Choudhury [email protected]
Professor, Dept. of Civil Engineering, National Institute of Technology Silchar, Silchar, Assam 788010, India. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • Probabilistic Seismic Risk Assessment of a reinforced concrete building considering hazard level and the resulting vulnerability using Bayesian Belief Network, Asian Journal of Civil Engineering, 10.1007/s42107-023-00958-x, 25, 3, (2993-3009), (2023).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share