Modeling the Spatial Correlation of Systematic Source Effects in Non-Ergodic Ground Motion Models for the Ridgecrest Area
Publication: Geo-Risk 2023
ABSTRACT
The current state of the practice in probabilistic seismic hazard analysis (PSHA) employs ergodic ground motion models (GMMs) to describe the probabilistic distribution of an intensity measure, which assumes that the ground motion variability observed in a global database is the same as the variability in ground motion at a single site-source combination. However, the fast-growing empirical ground motion databases indicate significant regional differences in ground motions due to repeatable and systematic source, path, and site effects. These systematic effects, which are spatially correlated, are not consistent with the ergodic assumption, promoting the transition to non-ergodic GMMs for PSHA. In this study, we use Gaussian processes to model the spatial correlation structures of systematic source effects for the Ridgecrest area, which provides insights into non-ergodic PSHA. We consider two different models for the spatial correlation of the systematic and repeatable source effects for the peak ground acceleration: an isotropic stationary model and an anisotropic non-stationary model. In the isotropic stationary model, the spatial correlation of the source effects depends only on the separating distances of two seismic sources, which is commonly used in current non-ergodic GMMs. The new anisotropic non-stationary model proposed in this study considers the fault geometries of the earthquakes and the separating distance of the seismic sources. Our results show that the spatial correlation model provides information on the spatial variation of the repeatable source effects induced by complex physical processes and reduces the associated aleatory variability. We also find that the spatial correlation of systematic source effects in the Ridgecrest area is best characterized by the anisotropic non-stationary model, which ensures better extrapolation of the source effects to regions without significant data. The developed spatial correlation model provides insights in the context of nonergodic-based PSHA considering multiple seismic sources. In addition, the proposed model improves the epistemic uncertainty treatment of alternative spatial correlation structures for repeatable source effects.
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REFERENCES
Abrahamson, N. A., Kuehn, N. M., Walling, M., and Landwehr, N. (2019). Probabilistic seismic hazard analysis in California using nonergodic ground-motion models. Bulletin of the Seismological Society of America 109(4): 1235–1249.
Anderson, J. G., and Brune, J. N. (1999). Probabilistic seismic hazard analysis without the ergodic assumption. Seismological Research Letters 70(1): 19–28.
Atik, L. A., Abrahamson, N., Bommer, J. J., Scherbaum, F., Cotton, F., and Kuehn, N. (2010). The variability of ground-motion prediction models and its components. Seismological Research Letters 81(5): 794–801.
Atkinson, G. M. (2006). Single-station sigma. Bulletin of the Seismological Society of America 96(2): 446–455.
Carpenter, B., Gelman, A., Hoffman, M. D., Lee, D., Goodrich, B., Betancourt, M., Brubaker, M., Guo, J., Li, P., and Riddell, A. (2017). Stan: A probabilistic programming language. Journal of statistical software 76(1).
Jayaram, N., and Baker, J. W. (2009). Correlation model for spatially distributed ground motion intensities. Earthquake Engineering & Structural Dynamics 38(15): 1687–1708.
Kuehn, N. M., and Abrahamson, N. A. (2020). Spatial correlations of ground motion for nonergodic seismic hazard analysis. Earthquake Engineering & Structural Dynamics 49(1):703 4–23.
Landwehr, N., Kuehn, N. M., Scheffer, T., and Abrahamson, N. (2016). A nonergodic ground motion model for california with spatially varying coefficients. Bulletin of the Seismological Society of America 106(6): 2574–2583.
Lavrentiadis, G., Abrahamson, N. A., Nicolas, K. M., Bozorgnia, Y., Goulet, C. A., Babič, A., and Walling, M. (2022). Overview and introduction to development of non-ergodic earthquake ground-motion models. Bulletin of Earthquake Engineering, 1–30.
Liu, C., Macedo, J., and Kuehn, N. (2022). Spatial correlation of systematic effects of non-ergodic ground motion models in the Ridgecrest area. Bulletin of Earthquake Engineering, 1–27.
Paciorek, C. J., and Schervish, M. J. (2006). Spatial modelling using a new class of nonstationary covariance functions. Environmetrics: The official journal of the International Environmetrics Society 17(5): 483–506.
Rasmussen, C. E. (2003). Gaussian processes in machine learning. In: Summer school on machine learning. Springer, pp. 63–71.
Rekoske, J. M., Thompson, E. M., Moschetti, M. P., Hearne, M. G., Aagaard, B. T., and Parker, G. A. (2020). The 2019 ridgecrest, california, earthquake sequence ground motions: Processed records and derived intensity metrics. Seismological Research Letters 91(4): 2010–2023.
Rodriguez-Marek, A., Cotton, F., Abrahamson, N. A., Akkar, S., Al Atik, L., Edwards, B., Montalva, G. A., and Dawood, H. M. (2013). A model for single-station standard deviation using data from various tectonic regions. Bulletin of the seismological society of America 103(6): 3149–3163.
Schiappapietra, E., and Smerzini, C. (2021). Spatial correlation of broadband earthquake ground motion in norcia (central italy) from physics-based simulations. Bulletin of Earthquake Engineering 19(12): 4693–4717.
Walling, M. A. (2009). Non-ergodic probabilistic seismic hazard analysis and spatial simulation of variation in ground motion. University of California, Berkeley.
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Published online: Jul 20, 2023
ASCE Technical Topics:
- Analysis (by type)
- Anisotropy
- Continuum mechanics
- Correlation
- Deformation (mechanics)
- Earthquake engineering
- Engineering fundamentals
- Engineering mechanics
- Geohazards
- Geotechnical engineering
- Geotechnical investigation
- Ground motion
- Mathematics
- Probability
- Seismic effects
- Seismic tests
- Solid mechanics
- Spatial analysis
- Spatial data
- Statistics
- Structural mechanics
- Tests (by type)
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