A New Model for the Distribution of Observable Earthquake Magnitudes and Applications to $b$ -Value Estimation
A New Model for the Distribution of Observable Earthquake Magnitudes and Applications to $b$ -Value Estimation
复制标题
可观测地震震级分布的新模型及其在 $b$ 值估计中的应用
DOI：
10.1109/lgrs.2018.2812770
复制
发表时间：
2018
影响因子：
4.8
通讯作者：
Adam Jonsson
中科院分区：
文献类型：
--
作者：
J. Martinsson;Adam Jonsson
古腾堡-里克特（GR）定律中的<inline-formula><tex-math notation="LaTeX">$B$</tex-math></inline-formula>值包含了评估地震危险性和预测大地震发生所必需的信息。<inline-formula><tex-math notation="LaTeX">对B$</tex-math></inline-formula>的估计通常基于震级超过某个阈值的地震事件，即所谓的完整性震级。这种估计对阈值的选择很敏感，而且往往忽略了相当一部分现有数据。我们提出了一个可观测地震震级分布的一般模型，并考虑到所有测量的估计过程。该模型是通过推广以前的传感器网络的局限性的概率描述，并使用广义的GR法。我们表明，我们的模型足够灵活，可以处理地震环境中的时空变化，并捕获有关传感器网络覆盖的有价值的信息。我们还表明，该模型导致显着改善<inline-formula><tex-math notation="LaTeX">的B$</tex-math></inline-formula>-值估计相比，已建立的方法依赖于完整性的大小。
The <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-value in the Gutenberg–Richter (GR) law contains information that is essential for evaluating earthquake hazard and predicting the occurrence of large earthquakes. Estimates of <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula> are often based on seismic events whose magnitude exceed a certain threshold, the so-called magnitude of completeness. Such estimates are sensitive to the choice of threshold and often ignore a substantial portion of available data. We present a general model for the distribution of observable earthquake magnitudes and an estimation procedure that takes all measurements into account. The model is obtained by generalizing previous probabilistic descriptions of sensor network limitations and using a generalization of the GR law. We show that our model is flexible enough to handle spatio-temporal variations in the seismic environment and captures valuable information about sensor network coverage. We also show that the model leads to significantly improved <inline-formula> <tex-math notation="LaTeX">$b$ </tex-math></inline-formula>-value estimates compared with established methods relying on the magnitude of completeness.