In 1980, Ruff and Kanamori (RK) published an article on seismicity and the subduction zones where they reported that the largest characteristic earthquake (Mw) of a subduction zone is correlated with two geophysical quantities: the rate of convergence between the oceanic and continental plates (V) and the age of the corresponding subducting oceanic lithosphere (T). This proposal was synthetized by using an empirical graph (RK-diagram) that includes the variables Mw, V and T. We have recently published an article that reports that there are some common characteristics between real seismicity, sandpaper experiments and a critically self-organized spring-block model. In that paper, among several results we qualitatively recovered a RK-diagram type constructed with equivalent synthetic quantities corresponding to Mw, V and T. In the present paper, we improve that synthetic RK-diagram by means of a simple model relating the elastic ratio γ of a critically self-organized spring-block model with the age of a lithospheric downgoing plate. In addition, we extend the RK-diagram by including some large subduction earthquakes occurred after 1980. Similar behavior to the former RK-diagram is observed and its SOC synthetic counterpart is obtained.

中文翻译：

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将临界自组织弹簧块模型的弹性比伽玛与俯冲带岩石圈下沉板块年龄相关联的简单模型

1980 年，Ruff 和 Kanamori (RK) 发表了一篇关于地震活动性和俯冲带的文章，他们报告说，俯冲带的最大特征地震 (Mw) 与两个地球物理量有关：大洋板块和大陆板块之间的收敛速度(V) 和相应的俯冲海洋岩石圈的年龄 (T)。该提议是通过使用包含变量 Mw、V 和 T 的经验图（RK 图）合成的。我们最近发表了一篇文章，报告称真实地震活动、砂纸实验和批判性自组织实验之间存在一些共同特征。弹簧块模型。在那篇论文中，在几个结果中，我们定性地恢复了一个 RK 图类型，它由对应于 Mw、V 和 T 的等效合成量构建。在本文中，我们通过一个简单的模型改进了合成 RK 图，该模型将临界自组织弹簧块模型的弹性比 γ 与岩石圈下行板块的年龄相关联。此外，我们通过包括 1980 年之后发生的一些大俯冲地震来扩展 RK 图。观察到与前 RK 图类似的行为，并获得了其 SOC 合成对应物。