Nonlinear Radiation Damping: A New Method for Dissipating Energy in Dynamic Earthquake Rupture Simulations

M. Barall, R. Harris
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Abstract

Dynamic earthquake rupture simulations are used to understand earthquake mechanics and the ground shaking that earthquakes produce. These simulations can help diagnose past earthquake behavior and are also used to generate scenarios of possible future earthquakes. Traditional dynamic rupture models generally assume elastic rock response, but this can lead to peak on-fault slip rates and ground shaking that are higher than those inferred from seismological observations. Some have approached this challenge using inelastic off-fault rock behavior to dissipate energy, but the addition of inelasticity can make it difficult to select parameters and establish suitable initial conditions, and increases the model’s complexity and computational cost. We propose a new method that works by adding a nonlinear radiation damping term to the friction law, with the surrounding rocks remaining linear elastic. Our new method results in lower peak slip rates, reduced seismic radiation, and an increasing slip-weakening critical distance with increasing rupture propagation distance, all within a linear elastic model. In addition, it is easy to implement.
非线性辐射阻尼:动态地震破裂模拟中耗散能量的新方法
动态地震破裂模拟用于了解地震力学和地震产生的地面震动。这些模拟可以帮助诊断过去的地震行为,也可以用来生成未来可能发生地震的情景。传统的动态破裂模型通常假设弹性岩石响应,但这可能导致断层滑动率和地面震动的峰值高于地震学观测推断的结果。有些人利用非弹性离断层岩石的特性来耗散能量,但非弹性的加入会使选择参数和建立合适的初始条件变得困难,从而增加了模型的复杂性和计算成本。我们提出了一种新的方法,通过在摩擦律中加入非线性辐射阻尼项,使围岩保持线弹性。我们的新方法可以降低峰值滑移率,减少地震辐射,并随着破裂传播距离的增加而增加滑移弱化临界距离,所有这些都在线性弹性模型中。此外,它易于实现。
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