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Conditions for the occurrence of seismic sequences in a fault system

机译:故障系统中地震序列发生的条件

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We consider a fault system producing a sequence of seismic events of similar magnitudes. If the system is made up of n faults, there are n! possible sequences, differing from each other for the order of fault activation. Therefore the order of events in a sequence can be expressed as a permutation of the first n integers. We investigate the conditions for the occurrence of a seismic sequence and how the order of events is related to the initial stress state of the fault system. To this aim, we consider n coplanar faults placed in an elastic half-space and subject to a constant and uniform strain rate by tectonic motions. We describe the state of the system by n variables that are the Coulomb stresses of the faults. If we order the faults according to the magnitude of their Coulomb stresses, a permutation of the first n integers can be associated with each state of the system. This permutation changes whenever a fault produces a seismic event, so that the evolution of the system can be described as a sequence of permutations. A crucial role is played by the differences between Coulomb stresses of the faults. The order of events implicit in the initial state is modified due to changes in the differences between Coulomb stresses and to different stress drops of the events. We find that the order of events is determined by the initial stress state, the stress drops and the stress transfers associated with each event. Therefore the model allows the retrieval of the stress states of a fault system from the observation of the order of fault activation in a seismic sequence. As an example, the model is applied to the 2012 Emilia (Italy) seismic sequence and enlightens the complex interplay between the fault dislocations that produced the observed order of events.
机译:我们考虑一个故障系统,该系统会产生一系列相似大小的地震事件。如果系统由n个故障组成,则存在n个!可能的顺序,对于故障激活的顺序彼此不同。因此,序列中事件的顺序可以表示为前n个整数的排列。我们研究了地震序列发生的条件,以及事件的顺序与断层系统的初始应力状态之间的关系。为此,我们考虑将n个共面断层置于一个弹性的半空间中,并通过构造运动使其受到恒定且均匀的应变率。我们通过n个变量(即故障的库仑应力)描述系统的状态。如果我们根据故障的库仑应力大小对故障进行排序,则前n个整数的排列可以与系统的每个状态相关联。每当断层产生地震事件时,该置换都会发生变化,因此系统的演化可以描述为一系列置换。断裂的库仑应力之间的差异起着至关重要的作用。初始状态中隐含的事件顺序由于库仑应力之间的差异变化以及事件的不同应力下降而被修改。我们发现事件的顺序由初始压力状态,压力下降和与每个事件相关的压力转移决定。因此,该模型允许通过观察地震序列中的断层激活顺序来检索断层系统的应力状态。例如,该模型应用于2012年艾米利亚(意大利)地震序列,并启发了产生事件顺序的断层错位之间的复杂相互作用。

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