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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union

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https://doi.org/10.5194/npg-2017-49
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 4.0 License.
Research article
27 Sep 2017
Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Nonlinear Processes in Geophysics (NPG).
Time difference of arrival estimation of microseismic signals based on alpha-stable distribution
Rui-Sheng Jia1,2, Yue Gong1,2, Yan-Jun Peng1,2, Hong-Mei Sun1,2, Xing-Li Zhang1,2, and Xing-Min Lu1,2 1College of Computer Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, P.R. China
2Shandong Province Key Laboratory of Wisdom Mine Information Technology, Shandong University of Science and Technology, Qingdao 266590, P.R. China
Abstract. Microseismic signals are generally considered to follow the Gauss distribution. A comparison of the dynamic characteristics of sample variance and the symmetry of microseismic signals with the signals which follows α-stable distribution, reveals that the pulse characteristics of the microseismic signal is outstanding and that the probability density curve of the microseismic signal is approximately symmetric. Thus, the hypothesis that microseismic signals follow the symmetric α-stable distribution is proposed. On the premise of this hypothesis, the characteristic exponent α of the seismic signals is obtained by utilizing the fractional low-order statistics, and then a new method of time difference of arrival (TDOA) estimation of microseismic signals based on fractional low-order covariance (FLOC) is proposed. Upon applying this method to the TDOA estimation of Ricker wavelet simulation signals and real microseismic signals, experimental results show that the FLOC method, which is based on the assumption of the symmetric α-stable distribution, leads to enhanced spatial resolution of the TDOA estimation relative to the generalized cross correlation (GCC) method, which is based on the assumption of the Gaussian distribution.

Citation: Jia, R.-S., Gong, Y., Peng, Y.-J., Sun, H.-M., Zhang, X.-L., and Lu, X.-M.: Time difference of arrival estimation of microseismic signals based on alpha-stable distribution, Nonlin. Processes Geophys. Discuss., https://doi.org/10.5194/npg-2017-49, in review, 2017.
Rui-Sheng Jia et al.
Rui-Sheng Jia et al.
Rui-Sheng Jia et al.

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Short summary
The technique of microseismic source location is realized by calculating the time difference of arrival estimation of each mocroseismic signals, the time difference of arrival estimation directly affects the accuracy of microseismic source location. Microseismic signal with noises is proved to be closer to the α-stable distribution in this paper, and an improved time difference of arrival estimation approach microseismic signals is proposed.
The technique of microseismic source location is realized by calculating the time difference of...
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