HUANG Xiao-hong, SUN Guo-qing, ZHANG Kai-yue. Localisation of Geiger acoustic emission source based on all-phase analysis and several times cross-correlation[J]. 2018, 39(4): 1362-1368.
DOI:
HUANG Xiao-hong, SUN Guo-qing, ZHANG Kai-yue. Localisation of Geiger acoustic emission source based on all-phase analysis and several times cross-correlation[J]. 2018, 39(4): 1362-1368.DOI: 10.16285/j.rsm.2016.1021.
Localisation of Geiger acoustic emission source based on all-phase analysis and several times cross-correlation
直接互相关在岩石声发射源定位中,会出现多次峰值与波形密集的问题,在求解过程中会出现无解的情况且定位精度不足,为了解决这些问题,提出一种基于全相位快速傅里叶变换(FFT)分析及多次互相关的岩石声发射源定位的算法。通过对50 mm×100 mm×50 mm的花岗岩进行断铅试验,利用小波变换对互相关分析的频谱进行预处理,同时发挥全相位FFT的相位不变性的优点,找出波形峰值,得到时间差,最后利用最小二乘法得到定位初始点,再通过Geiger迭代,得到最终定位坐标。在选取8个测点的基础上,经声发射监测试验结果表明:该方法比单独直接互相关更容易找到波峰,且波形清晰,初始点的选择有效解决了Geiger迭代法对初始值要求严格的问题,通过全相位分析及多次互相关计算,然后Geiger程序迭代,得到的定位结果比直接互相关精度更高,平均绝对误差比美国生产PCI–2型声发射仪器Geiger定位的结果低 2.40 mm,比基于多次互相关和Geiger算法的声发射源定位结果低3.31 mm,比全相位相位差法声发射测试时间延迟定位结果低1.74 mm 。
Abstract
Since there are multiple peaks and waveform intensive problems by using direct cross-correlation for locating the rock acoustic emission (AE) sources
no solution occurs in the solution process and the positioning accuracy is insufficient. In this study
an algorithm of AE source localisation was proposed to solve these problems
based on all-phase FFT analysis and multiple cross-correlation. The experiments were carried out on granite specimens with the size of 50×100×50 mm3. The wavelet transform was used to pre-process the spectrum of cross-correlation. Meanwhile
the phase invariance of all-phase FFT was also applied to find the waveform peak and obtain the time difference. Finally
the initial point of positioning was acquired by the least square method
and then the final positioning coordinates were obtained through the Geiger iteration. Eight measuring points were selected and monitored during the experiments. Results indicate that this method is easier to find the wave peak than the direct cross-correlation
and can obtain clear waveforms. The selection of initial points can effectively meet the strict requirement on the initial value of the Geiger iterative method. It is found that the obtained results are more accurate than those by the direct cross-correlation. The mean absolute error of this study was 2.40 mm lower
compared with Geiger positioning result by the PCI–2 AE system from the United States. The result was 3.31 mm lower
compared with the result of AE source localisation based on multiple cross-correlation and Geiger algorithm. The result was 1.74 mm lower
compared with time-delay positioning result by the all-phase phase difference method for AE sources.