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Bayesian framework for inversion of second-order stress glut moments: application to the 2020 M_w 7.7 Caribbean Earthquake

Atterholt, James and Ross, Zachary E. (2021) Bayesian framework for inversion of second-order stress glut moments: application to the 2020 M_w 7.7 Caribbean Earthquake. . (Unpublished)

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We present a fully Bayesian inverse scheme to determine second moments of the stress glut using teleseismic earthquake seismograms. The second moments form a low-dimensional, physically-motivated representation of the rupture process that captures its spatial extent, source duration, and directivity effects. We determine an ensemble of second moment solutions by employing Hamiltonian Monte Carlo and automatic differentiation to efficiently approximate the posterior. Our method explicitly constrains the parameter space to be symmetric positive definite, ensuring the derived source properties have physically meaningful values. The framework accounts for the autocorrelation structure of the errors and incorporates hyperpriors on the uncertainty. We validate the methodology using a synthetic test and subsequently apply it to the 2020 M_w 7.7 Caribbean earthquake. The second moments determined for this event indicate the rupture was nearly unilateral and relatively compact along-strike. The solutions from this inverse framework can resolve ambiguities between slip distributions with minimal a priori assumptions on the rupture process.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper Seismographic Network - Scripps Institution of Oceanography Seismographic Network - Albuquerque Seismological Laboratory
https://www.globalcmt.orgRelated ItemGlobal Centroid Moment Tensor (gCMT) catalog ItemMineos software
https://www.generic-mapping-tools.orgRelated ItemGeneric Mapping Tools (GMT)
Atterholt, James0000-0003-1603-5518
Ross, Zachary E.0000-0002-6343-8400
Alternate Title:Bayesian framework for inversion of second-order stress glut moments: application to the 2020 Mw 7.7 Caribbean Earthquake
Additional Information:The copyright holder for this preprint is the author/funder. Published Online: Wed, 21 Jul 2021. This work was partially funded by the National Science Foundation's (NSF) Graduate Research Fellowships Program (GRFP) under grant number DGE-1745301. The teleseismic waveforms used in this study are from the Global Seismographic Network (GSN) operated by Scripps Institution of Oceanography (II: IRIS/IDA; (Scripps Institution Of Oceanography, 1986) and the Albuquerque Seismological Laboratory (IU: IRIS/USGS; (Albuquerque Seismological Laboratory (ASL)/USGS, 1988). These waveforms and associated metadata used in this study were accessed through the IRIS Data Management Center (DMC). The centroid and moment tensor solution used in this study were obtained from Global Centroid Moment Tensor (gCMT) catalog (Dziewonski et al., 1981; Ekstrom et al., 2012) at The synthetic waveforms used in this study were generated using the software Mineos, version 1.0.2 (Masters et al., 2011), available at through the Computational Infrastructure for Geodynamics (CIG). Figure 1 was generated using The Generic Mapping Tools (GMT), version 6 (Wessel et al., 2019), available at
Group:Seismological Laboratory
Funding AgencyGrant Number
NSF Graduate Research FellowshipDGE‐1745301
Subject Keywords:Geophysics / Seismology and Seismic Exploration, Geophysics / Solid-Earth and Geophysics, Geophysics / Tectonics, Geophysics
Record Number:CaltechAUTHORS:20210730-182807109
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110106
Deposited By: Tony Diaz
Deposited On:02 Aug 2021 19:06
Last Modified:02 Aug 2021 19:06

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