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给出一种波形矩张量反演方法,与标准方法相比,它更稳健,能产出更稳定和更准确的结果。反演分两步进行,在时间域和频率域组合反演。第一,在频率域使用复频谱进行震源时间函数反演。第二,使用在第一步中计算出的震源时间函数进行时间域的矩张量反演。用这种方法,我们能考虑符合实际的、复杂的震源时间函数并仍能保持最终的矩张量反演是线性的。使用数值模拟,我们比较了本方法与标准波形反演的效能和准确度。我们研究了所提取出的矩张量双力偶分量和非双力偶分量对数据中噪声、震源位置和速度模型的不准确性以及震源机制类型的敏感性。最后,用复杂的三维不均匀地质环境——在芬兰皮海萨尔米矿山中的生产爆破和岩爆——中观测到的实际数据对所提出的矩张量反演方法进行测试。
A method of waveform moment tensor inversion is given, which is more robust than the standard method and produces more stable and accurate results. The inversion is done in two steps, combining the inversion in the time and frequency domains. First, complex frequency spectra are used to perform source time function inversion in the frequency domain. Second, the moment tensor inversion in the time domain is performed using the source time function calculated in the first step. In this way, we can consider a realistic and complex source time function and still maintain the final moment tensor inversion linear. Using numerical simulations, we compared the performance and accuracy of this method with standard waveform inversion. We study the sensitivity of the inaccuracies of the model noise and source location and velocity models and the type of focal mechanism that are extracted from the binaural and non-binocular components of the moment tensor extracted. Finally, the proposed moment-tensor inversion method was tested using complex three-dimensional inhomogeneous geo-environments - production blasting and rockburst in the Pinhai Salmi mine in Finland.