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首页> 外文期刊>Pure and Applied Geophysics >Joint Determination of Slip and Stress Drop in a Bayesian Inversion Approach: A Case Study for the 2010 M8.8 Maule Earthquake
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Joint Determination of Slip and Stress Drop in a Bayesian Inversion Approach: A Case Study for the 2010 M8.8 Maule Earthquake

机译：贝叶斯反演方法中滑移和应力降的联合确定：以2010年M8.8 Maule地震为例

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摘要

Stress drop is a key factor in earthquake mechanics and engineering seismology. However, stress drop calculations based on fault slip can be significantly biased, particularly due to subjectively determined smoothing conditions in the traditional least-square slip inversion. In this study, we introduce a mechanically constrained Bayesian approach to simultaneously invert for fault slip and stress drop based on geodetic measurements. A Gaussian distribution for stress drop is implemented in the inversion as a prior. We have done several synthetic tests to evaluate the stability and reliability of the inversion approach, considering different fault discretization, fault geometries, utilized datasets, and variability of the slip direction, respectively. We finally apply the approach to the 2010 M8.8 Maule earthquake and invert for the coseismic slip and stress drop simultaneously. Two fault geometries from the literature are tested. Our results indicate that the derived slip models based on both fault geometries are similar, showing major slip north of the hypocenter and relatively weak slip in the south, as indicated in the slip models of other studies. The derived mean stress drop is 5-6 MPa, which is close to the stress drop of similar to 7 MPa that was independently determined according to force balance in this region Luttrell et al. (J Geophys Res, 2011). These findings indicate that stress drop values can be consistently extracted from geodetic data.
机译：应力下降是地震力学和工程地震学中的关键因素。但是，基于断层滑动的应力降计算可能会出现明显偏差，特别是由于传统最小二乘滑动反演中主观确定的平滑条件。在这项研究中，我们介绍了一种机械约束的贝叶斯方法，可同时根据大地测量结果反演断层滑动和应力降。反演中先验地实现了应力降的高斯分布。我们分别进行了几种综合测试，以评估反演方法的稳定性和可靠性，分别考虑了不同的断层离散化，断层几何形状，利用的数据集以及滑动方向的变化性。最后，我们将该方法应用于2010年M8.8 Maule地震，并同时考虑了同震滑动和应力降。测试了文献中的两种断层几何形状。我们的结果表明，基于其他断层几何的推导滑动模型相似，显示出震源北侧的主滑动和南侧相对较弱的滑动，如其他研究的滑动模型所示。导出的平均应力降为5-6 MPa，接近于类似于7 MPa的应力降，后者是根据该区域的力平衡独立确定的（Luttrell等人）。 （J Geophys Res，2011）。这些发现表明，可以从大地测量数据中一致地提取应力降值。

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