The study of the strong ground motion is of utmost relevance because the amplitude of seismic waves and their frequency content could severely damage structures. As both the amplitude and the frequency content directly depend on the seismic source, a proper description and simulations of the earthquakes’ rupture process are required. This means that realistic source models should incorporate a heterogeneous distribution of rupture parameters that generates self-arrested ruptures. One of these models is a heterogeneous energy-based (HE-B) method, which can describe the kinematic rupture process based on the distribution of residual energy (\({E}^{res}\)). This parameter defines zones in faults where the accumulated energy is larger than the dissipated energy. In this context, this study presents the spatial variations of radiated energy, corner frequency, and stress drop at far-field distances as a consequence of the heterogeneous distribution of positive residual energy. It is found that the rupture of asperities, determined by large values of \({E}^{res}\), strongly shifts the frequency content and generates a Doppler effect of the frequency content. That is, the location in the far-field in direction where the asperity is being ruptured generates traveling waves characterized by an increase of the observed corner frequency, which corresponds to the corner frequency measured by the observer. This implies that different station measures different frequency content implying different estimations of the source parameters. Besides, the variability of the observed corner frequency could break the scaling between the corner frequency and the magnitude. Nevertheless, it is also found that the average observed corner frequency, when considering all the points or stations, is almost the same as that obtained for the seismic source. A similar property is found for radiated energy and stress drop. These results show that the ground motion at a given location varies depending on the heterogeneities of the section of the fault being ruptured.

对强地面运动的研究具有极大的相关性，因为地震波的振幅及其频率含量可能会严重损坏结构。由于振幅和频率内容直接取决于震源，因此需要对地震破裂过程进行正确的描述和模拟。这意味着现实的源模型应该包含产生自止破裂的破裂参数的异质分布。其中一种模型是基于异质能量（HE-B）的方法，它可以根据残余能量的分布（\({E}^{res}\) ）来描述运动破裂过程。该参数定义了故障中累积能量大于耗散能量的区域。在此背景下，本研究提出了由于正残余能量的不均匀分布而导致的远场距离处的辐射能量、转角频率和应力降的空间变化。研究发现，由较大的\({E}^{res}\)值决定的粗糙体的破裂会强烈地改变频率内容并产生频率内容的多普勒效应。即，远场中粗糙体破裂方向上的位置产生行波，其特征在于观察到的转角频率增加，该行波对应于观察者测量到的转角频率。这意味着不同的站测量不同的频率内容，这意味着对源参数的不同估计。此外，观察到的转角频率的变化可能会破坏转角频率和幅度之间的比例。然而，我们还发现，当考虑所有点或台站时，观察到的平均角频率几乎与针对震源获得的角频率相同。辐射能量和应力降也具有类似的特性。这些结果表明，给定位置的地面运动根据断层破裂部分的非均质性而变化。