Logic-Tree Framework for Incorporating Kinematic Source Variability in Simulation-Based Seismic Hazard Estimation

ABSTRACT Traditional probabilistic seismic hazard assessment (PSHA) relies on ground-motion models (GMMs) that assume ergodicity, using spatial variability across events and regions to represent site-level variability across multiple events. Although this assumption enables model calibration with sparse data, it yields limited accuracy for a given source–site geometry, particularly for low-probability exceedance levels used for critical infrastructure. Simulated ground motions remove ergodicity by capturing site-specific shaking with variability arising due to variations in source parameters and seismic wave-propagation effects. However, to use simulations in PSHA, it is crucial to understand how individual source parameters contribute to ground-motion aleatory variability and epistemic uncertainty. In this study, we use a machine learning-based rupture generator to simulate the rupture process for an Mw 6.5 strike-slip scenario and compute the resulting broadband ground motions accurately up to 5 Hz. We generate ∼2000 rupture scenarios by varying five kinematic source parameters: fault length, slip distribution, hypocenter location, average rupture velocity, and characteristics of the source time function. The simulations reproduce median GMM trends and approximately capture between-event (τ) and within-event (ϕ) variabilities. Across all scenarios we considered, along-strike hypocenter variations dominate average single-station standard deviation (ϕSS) in directivity-sensitive regions, whereas slip and hypocenter variations in down-dip direction govern ϕSS in fault-normal direction. With these findings, we propose a logic-tree framework in which alternative hypocenter probability distributions and rupture generators are treated as discrete branches representing modeling epistemic uncertainty. We incorporate fault region-based hypocenter sampling and constrained slip realizations within each branch and demonstrate improved exceedance curve estimates. To improve computational efficiency with minimal loss of accuracy, we apply a principal component analysis to define the sampling strategy for selecting representative rupture scenarios from high-dimensional slip ensembles. Our approach provides a first-order framework for incorporating earthquake rupture variability into simulation-based PSHA, enabling more physically consistent and efficient hazard estimation.

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Publication Details

Journal
Bulletin of the Seismological Society of America
Published
2026-04-15
DOI
https://doi.org/10.1785/0120250236
Primary Topic
Seismic Performance and Analysis
Type
article
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article

Logic-Tree Framework for Incorporating Kinematic Source Variability in Simulation-Based Seismic Hazard Estimation

Tariq Anwar Aquib, David Castro-Cruz, P. Martin Mai
Bulletin of the Seismological Society of America
Seismic Performance and Analysis
article

Logic-Tree Framework for Incorporating Kinematic Source Variability in Simulation-Based Seismic Hazard Estimation

Tariq Anwar Aquib, David Castro-Cruz, P. Martin Mai
article en

Abstract

ABSTRACT Traditional probabilistic seismic hazard assessment (PSHA) relies on ground-motion models (GMMs) that assume ergodicity, using spatial variability across events and regions to represent site-level variability across multiple events. Although this assumption enables model calibration with sparse data, it yields limited accuracy for a given source–site geometry, particularly for low-probability exceedance levels used for critical infrastructure. Simulated ground motions remove ergodicity by capturing site-specific shaking with variability arising due to variations in source parameters and seismic wave-propagation effects. However, to use simulations in PSHA, it is crucial to understand how individual source parameters contribute to ground-motion aleatory variability and epistemic uncertainty. In this study, we use a machine learning-based rupture generator to simulate the rupture process for an Mw 6.5 strike-slip scenario and compute the resulting broadband ground motions accurately up to 5 Hz. We generate ∼2000 rupture scenarios by varying five kinematic source parameters: fault length, slip distribution, hypocenter location, average rupture velocity, and characteristics of the source time function. The simulations reproduce median GMM trends and approximately capture between-event (τ) and within-event (ϕ) variabilities. Across all scenarios we considered, along-strike hypocenter variations dominate average single-station standard deviation (ϕSS) in directivity-sensitive regions, whereas slip and hypocenter variations in down-dip direction govern ϕSS in fault-normal direction. With these findings, we propose a logic-tree framework in which alternative hypocenter probability distributions and rupture generators are treated as discrete branches representing modeling epistemic uncertainty. We incorporate fault region-based hypocenter sampling and constrained slip realizations within each branch and demonstrate improved exceedance curve estimates. To improve computational efficiency with minimal loss of accuracy, we apply a principal component analysis to define the sampling strategy for selecting representative rupture scenarios from high-dimensional slip ensembles. Our approach provides a first-order framework for incorporating earthquake rupture variability into simulation-based PSHA, enabling more physically consistent and efficient hazard estimation.

Bulletin of the Seismological Society of America
King Abdullah University of Science and Technology (SA)
Industry, innovation and infrastructure
Openalex Percentile: Top 18%
Seismic Performance and Analysis
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