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Effects of shear heating, slip-induced dilatancy and fluid flow on diversity of 1-D dynamic earthquake slip

机译:剪切加热,滑移引起的剪胀和流体流动对一维动态地震滑移多样性的影响

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摘要

We theoretically study effects of thermal pressurization, slip-induced dilatancy and fluid flow on slip evolution assuming 1-D fault model. We generalize the analysis made in our former papers by introducing an upper limit for the inelastic porosity evolution. The expression for nondimensional parameter T_a, which is related to the upper limit, is derived in the present paper. We find that the parameter T_a together with two nondimensional parameters S_u and S_u′ derived in our former papers completely determine the qualitative nature of system behavior once the initial condition is given. For example, changes in S_u and T_a generate two qualitatively different slip behaviors, both of which can be models for ordinary earthquake. The slip is accelerated with time after experiencing an initial deceleration in one of them, while the slip ceases after monotonic deceleration in the other. The initial slip deceleration observed in the former case may be interpreted as a dynamic event preceding the main shock in seismological observations. We mathematically derive the expression for the ranges of the nondimensional parameters in which the above two slip behaviors appear. Slow earthquakes are also modeled in the same framework, and nonzero values of the nondimensional parameter S_u′ together with relatively large values of S_u and T_a are found to contribute to the generation of such slow earthquakes. The mathematical framework constructed here can be applied to understanding of some other natural phenomena such as a kind of reaction-diffusion system.
机译:我们在理论上研究热压力,滑移引起的剪胀和流体流动对滑移演化的影响(假设一维断层模型)。我们通过引入非弹性孔隙度演化的上限来概括以前论文中所做的分析。本文推导了与上限有关的无量纲参数T_a的表达式。我们发现,一旦给出初始条件,参数T_a以及我们先前论文中得出的两个无量纲参数S_u和S_u'完全确定了系统行为的定性性质。例如,S_u和T_a的变化会产生两种质量上不同的滑移行为,这两种行为均可作为普通地震的模型。滑移在其中一个经历初始减速后随时间加速,而滑移在另一个经历单调减速后停止。在前一种情况下观察到的初始滑动减速度可以解释为地震观测中主震之前的动态事件。我们在数学上推导了出现以上两种滑移行为的无量纲参数范围的表达式。慢地震也可以在相同的框架中建模,并且发现无量纲参数S_u'的非零值以及相对较大的S_u和T_a值有助于这种慢地震的产生。此处构建的数学框架可用于理解其他一些自然现象,例如一种反应扩散系统。

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