Effects of shear heating, slip-induced dilatancy and fluid flow on diversity of 1-D dynamic earthquake slip
Effects of shear heating, slip-induced dilatancy and fluid flow on diversity of 1-D dynamic earthquake slip
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剪切热、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
DOI：
10.1002/2013jb010871
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
and T. Yamashita
中科院分区：
文献类型：
--
作者：
Suzuki;T.;and T. Yamashita
在一维断层模型下，我们从理论上研究了热增压、滑移诱导的非线性和流体流动对滑移演化的影响。通过引入非弹性孔隙度演化的上限，我们推广了我们以前的论文中所做的分析。本文导出了与上限有关的无量纲参数Ta的表达式。我们发现，当初始条件给定时，由我们以前的文献导出的参数Tatogether和两个无量纲参数Suand完全决定了系统行为的定性性质。例如，Suan和Tagen的变化产生了两种性质不同的滑动行为，这两种行为都可以作为普通地震的模型。在其中一个中经历初始减速后，滑移随时间加速，而在另一个中单调减速后滑移停止。在前一种情况下观测到的初始滑动减速可以解释为地震观测中主震前的一个动力事件。我们从数学上推导出了出现上述两种滑移行为的无量纲参数范围的表达式。慢地震也模拟在同一框架内，和非零值的无量纲参数连同相对较大的值的SuandTa被发现有助于产生这样的慢地震。这里所建立的数学框架可以应用于理解其他一些自然现象，如一类反应扩散系统。
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 parameterTa, which is related to the upper limit, is derived in the present paper. We find that the parameterTatogether with two nondimensional parametersSuand derived in our former papers completely determine the qualitative nature of system behavior once the initial condition is given. For example, changes inSuandTagenerate 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 together with relatively large values ofSuandTaare 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.