Adaptive regularization of earthquake slip distribution inversion
Adaptive regularization of earthquake slip distribution inversion
复制标题
地震滑移分布反演的自适应正则化
DOI：
10.1016/j.tecto.2016.03.018
复制
发表时间：
2016-04
期刊：
影响因子：
2.9
通讯作者：
Peng Liu
中科院分区：
文献类型：
--
作者：
Chisheng Wang;Xiaoli Ding;Qingquan Li;Xinjian Shan;Jiasong Zhu;Bo Guo;Peng Liu
正则化是地震滑动分布反演中避免数值异常解的一种常规方法。迄今为止，大多数滑动反演研究都对所有断层块施加了统一的正则化。然而，自适应正则化，其中每个检索的参数是不同的正则化，在其他研究领域，如图像恢复表现出更好的性能。本文对地震滑动分布反演中的自适应正则化方法进行了研究。研究发现，自适应正则化可以实现一个显着更小的均方误差（MSE）比均匀正则化，如果它是适当的设置。提出了一种基于加权总体最小二乘（WTLS）的自适应正则化方法。该方法假设正则化矩阵和观测值均存在误差，并采用迭代算法求解。利用权系数平衡正则化矩阵残差和观测残差。采用四种滑动模式进行了实验，以验证所提出的方法。结果表明，与均匀正则化和基于分辨率的自适应正则化方法相比，该正则化方法可以得到更小的均方误差，且对于具有低分辨率滑动块的滑动模式，均方误差的改善更为显著。在本文中，我们应用所提出的正则化方法来研究2011年Mw9.0东北地震的滑动分布。反演得到的滑动面分布比均匀正则化方法反演得到的滑动面分布光滑性差，但更为精细，更接近于大地测量和地震数据联合反演得到的滑动面模型。
Regularization is a routine approach used in earthquake slip distribution inversion to avoid numerically abnormal solutions. To date, most slip inversion studies have imposed uniform regularization on all the fault patches. However, adaptive regularization, where each retrieved parameter is regularized differently, has exhibited better performances in other research fields such as image restoration. In this paper, we implement an investigation into adaptive regularization for earthquake slip distribution inversion. It is found that adaptive regularization can achieve a significantly smaller mean square error (MSE) than uniform regularization, if it is set properly. We propose an adaptive regularization method based on weighted total least squares (WTLS). This approach assumes that errors exist in both the regularization matrix and observation, and an iterative algorithm is used to solve the solution. A weight coefficient is used to balance the regularization matrix residual and the observation residual. An experiment using four slip patterns was carried out to validate the proposed method. The results show that the proposed regularization method can derive a smaller MSE than uniform regularization and resolution-based adaptive regularization, and the improvement in MSE is more significant for slip patterns with low-resolution slip patches. In this paper, we apply the proposed regularization method to study the slip distribution of the 2011 Mw 9.0 Tohoku earthquake. The retrieved slip distribution is less smooth and more detailed than the one retrieved with the uniform regularization method, and is closer to the existing slip model from joint inversion of the geodetic and seismic data.
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影响因子：
2.8
作者：
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DOI：
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发表时间：
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期刊：
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期刊：
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影响因子：
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作者：
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DOI：
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发表时间：
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期刊：
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影响因子：
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影响因子：
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作者：
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