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我们建立了一个地震活动性的动力学模型,其中断层被埋藏在无限、连续的弹性介质中。因此,该模型充分考虑了地震波辐射所耗散的能量对模型地震序列进程的影响。在这个模型中,破裂时的摩擦降逐渐发生,这样便引入一个松弛尺度。作为一个例子,我们考虑一个有限均匀断层,其端部由无限强障碍体限定,从不可破裂的障碍体反射来的应力控制了地震活动性特征。地震活动性图象强烈地依赖于松弛尺度和端部障碍体之间的距离之比值。当这个参数很大时,我们发现在一个短暂的时间间隔后即出现周期性,相应于从一头到另一头的贯穿断层的大地震控制了统计分布特征。当这个参数很小时,小尺度地震活动分布在大地震之间,在我们所涉及的计算时间内未看到周期性。我们的结论是在地震活动的动力学过程模型中,像障碍体(我们假设它在自然界由于断层的不均匀几何结构而形成)之类的不可克服的非均匀体,不但在引起地震活动的复杂进程方面,而且在产生单个地震震源时间函数的复杂特征方面都是极为重要的因素。
We have established a dynamic model of seismicity in which the fault is buried in an infinite, continuous elastic medium. Therefore, the model fully considers the influence of the energy dissipated by the seismic wave on the progress of the model seismic sequence. In this model, the friction drop at break occurs gradually, thus introducing a relaxation scale. As an example, let us consider a finite homogeneous fault whose ends are defined by infinite strong obstacles and the stress reflected from the unbreakable barriers controls seismicity characteristics. Seismicity images strongly depend on the ratio of the relaxation scale to the distance between the end barriers. When this parameter is very large, we find that the periodicity appears after a short period of time, and the large-scale earthquake that runs through the fault from head to head controls the statistical distribution. When this parameter is small, small-scale seismicity is distributed between major earthquakes and no periodicity is seen within the computational time involved. We conclude that the insurmountable inhomogeneities such as the obstacle (we assume it is formed in nature due to the uneven geometric structure of the fault) in the dynamic process model of seismicity not only cause complexities in seismicity The processes, but also the most important factors in generating the complex features of a single seismic source time function.