In seismic hazard assessment, generating a source rupture process consistent with the physics of natural earthquakes is an important issue. This study focuses on the source model with hierarchical patches of slip‐weakening distance Dc proposed by Ide and Aochi (2005), which can satisfy the Gutenberg–Richter law. To investigate how the model works, characteristics of the simulated dynamic rupture process in a homogeneous full‐space medium and for a vertical strike‐slip fault in a half‐space medium with a seismogenic zone are analyzed, considering varying dynamic rupture parameters. The source spectrum of the simulated rupture process using the hierarchical patch model generally follows the Brune model. However, the source spectrum underestimates the Brune model near the corner frequencies when the event size grows over Mw 5.5. This spectral shape is consistent with the JA19_2 model (Ji and Archuleta, 2021) of the double‐corner‐frequency source spectrum. The obtained relationship between the simulated rupture length and magnitude is consistent with the empirical model of Leonard (2010). It confirms that if the event ruptures over the whole seismogenic zone width, the rupture length does not scale linearly with the rupture width, indicating that the seismogenic zone contributes to the relationship between rupture length and magnitude.

中文翻译：

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使用分层滑移弱化补丁模型模拟动态破裂的源缩放

在地震危险性评估中，生成符合自然地震物理特性的震源破裂过程是一个重要问题。本研究重点研究了 Ide 和 Aochi (2005) 提出的具有滑弱距离 Dc 分层补丁的源模型，该模型可以满足 Gutenberg-Richter 定律。为了研究该模型的工作原理，考虑不同的动态破裂参数，分析了均匀全空间介质中的模拟动态破裂过程的特征以及具有地震带的半空间介质中的垂直走滑断层的特征。使用分层斑块模型模拟破裂过程的源谱一般遵循Brune模型。然而，当事件大小增长超过 Mw 5.5 时，源频谱会低估角频率附近的 Brune 模型。该谱形状与双角频率源谱的 JA19_2 模型（Ji 和 Archuleta，2021）一致。得到的模拟破裂长度与震级之间的关系与Leonard(2010)的经验模型一致。它证实，如果事件在整个发震带宽度上发生破裂，则破裂长度不会与破裂宽度呈线性比例，这表明发震带对破裂长度和震级之间的关系有贡献。