Reducing Calculation Times for Seismic Hazard Using Non-Ergodic Ground-Motion Models for Areal Source Zones

Using non-ergodic ground-motion models (GMMs) in probabilistic seismic hazard analysis (PSHA) for areal sources can lead to large increases in calculation time compared to PSHA based on ergodic GMMs due to the large number of branches on the logic tree required to capture the spatial correlation of...

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Main Authors: Maxime Lacour, Norman Abrahamson
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/15/5/2454
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author Maxime Lacour
Norman Abrahamson
author_facet Maxime Lacour
Norman Abrahamson
author_sort Maxime Lacour
collection DOAJ
description Using non-ergodic ground-motion models (GMMs) in probabilistic seismic hazard analysis (PSHA) for areal sources can lead to large increases in calculation time compared to PSHA based on ergodic GMMs due to the large number of branches on the logic tree required to capture the spatial correlation of the non-ergodic terms. To reduce the computation time, a Polynomial Chaos (PC) expansion with a Taylor series approximation to capture the effects of the spatial correlation effects of the non-ergodic terms is used for the hazard calculations. With these approximate analytical methods, the calculation time for a logic tree with 100 branches for the non-ergodic terms can be reduced by a factor of 50 to 100. Using the proposed analytical approximations, the loss of accuracy of the mean hazard and the epistemic fractiles of the hazard is about 2%.
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spelling doaj-art-3ddb9735a9be41fcb161fc1afd7debcb2025-08-20T02:04:34ZengMDPI AGApplied Sciences2076-34172025-02-01155245410.3390/app15052454Reducing Calculation Times for Seismic Hazard Using Non-Ergodic Ground-Motion Models for Areal Source ZonesMaxime Lacour0Norman Abrahamson1Department of Civil Engineering, University of California, 760 Davis Hall, Berkeley, CA 94720, USADepartment of Civil Engineering, University of California, 760 Davis Hall, Berkeley, CA 94720, USAUsing non-ergodic ground-motion models (GMMs) in probabilistic seismic hazard analysis (PSHA) for areal sources can lead to large increases in calculation time compared to PSHA based on ergodic GMMs due to the large number of branches on the logic tree required to capture the spatial correlation of the non-ergodic terms. To reduce the computation time, a Polynomial Chaos (PC) expansion with a Taylor series approximation to capture the effects of the spatial correlation effects of the non-ergodic terms is used for the hazard calculations. With these approximate analytical methods, the calculation time for a logic tree with 100 branches for the non-ergodic terms can be reduced by a factor of 50 to 100. Using the proposed analytical approximations, the loss of accuracy of the mean hazard and the epistemic fractiles of the hazard is about 2%.https://www.mdpi.com/2076-3417/15/5/2454PSHAnon-ergodic GMMslogic trees
spellingShingle Maxime Lacour
Norman Abrahamson
Reducing Calculation Times for Seismic Hazard Using Non-Ergodic Ground-Motion Models for Areal Source Zones
Applied Sciences
PSHA
non-ergodic GMMs
logic trees
title Reducing Calculation Times for Seismic Hazard Using Non-Ergodic Ground-Motion Models for Areal Source Zones
title_full Reducing Calculation Times for Seismic Hazard Using Non-Ergodic Ground-Motion Models for Areal Source Zones
title_fullStr Reducing Calculation Times for Seismic Hazard Using Non-Ergodic Ground-Motion Models for Areal Source Zones
title_full_unstemmed Reducing Calculation Times for Seismic Hazard Using Non-Ergodic Ground-Motion Models for Areal Source Zones
title_short Reducing Calculation Times for Seismic Hazard Using Non-Ergodic Ground-Motion Models for Areal Source Zones
title_sort reducing calculation times for seismic hazard using non ergodic ground motion models for areal source zones
topic PSHA
non-ergodic GMMs
logic trees
url https://www.mdpi.com/2076-3417/15/5/2454
work_keys_str_mv AT maximelacour reducingcalculationtimesforseismichazardusingnonergodicgroundmotionmodelsforarealsourcezones
AT normanabrahamson reducingcalculationtimesforseismichazardusingnonergodicgroundmotionmodelsforarealsourcezones