http://arxiv.org/abs/2209.10401
A new surface-rupture-length ($SRL$) relationship as a function of magnitude ($\mathbf{M}$), fault thickness, and fault dip angle is presented in this paper. The objective of this study is to model the change in scaling between unbounded and width-limited ruptures. This is achieved through the use of seismological-theory based relationships for the average displacement scaling and the aid of dynamic fault rupture simulations to constrain the rupture width scaling. The empirical dataset used in the development of this relationship is composed of $123$ events ranging from $\mathbf{M}~5$ to $8.1$ and $SRL~1.1$ to $432~km$. The dynamic rupture simulations dataset includes $554$ events ranging from $\mathbf{M}~4.9$ to $8.2$ and $SRL~1$ to $655~km$. For the average displacement ($\bar{D}$) scaling, models based on the square-root of the area ($\sqrt{A}$), on the down-dip width ($W$), and on the length ($L$) of the ruptured fault plane were evaluated. The empirical data favours a $\bar{D} \sim \sqrt{A}$ scaling. The proposed model exhibits better predictive performance compared to linear $\log(SLR)\sim\mathbf{M}$ type models, especially at the large magnitude range which dominated by width-limited events. A comparison with existing $SRL$ models shows consistent scaling at different magnitude ranges that is believed to be the result of the different magnitude ranges in the empirical dataset of the published relationships.
G. Lavrentiadis, Y. Wang, N. Abrahamson, et. al.
Thu, 22 Sep 22
48/65
Comments: 19 pages, 11 figures