Micro-seismic source location determined by a modified objective function

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ORIGINAL ARTICLE

Micro‑seismic source location determined by a modified objective function L. Z. Wu1   · S. H. Li1 · R. Q. Huang1 · S. Y. Wang2 Received: 31 July 2018 / Accepted: 10 June 2019 © Springer-Verlag London Ltd., part of Springer Nature 2019

Abstract The exact localization of micro-seismic sources is of significant importance in micro-seismic monitoring technology. The methods determining arrival time and time difference of micro-seismic source locations in engineering are introduced. The factors affecting the accuracy of the micro-seismic source location are analysed. To improve the accuracy of micro-seismic source localization, an objective function is used to examine the source, and a new method for locating micro-seismic sources is proposed. To make full use of the monitoring data of each geophone, the L2-norm and variance function are combined to improve the overall accuracy of the positioning and the stationarity of the objective function of each geophone equation. Finally, a particle swarm optimization is employed to search for the source location. The effectiveness of the improved method is verified by two case studies, and the results indicate that the proposed method is better than conventional approaches. The proposed method is simple and easy to perform. Keywords  Micro-seismic source localization · Objective function · Particle swarm optimization · Mathematical model

1 Introduction When the energy within a rock mass reaches a certain threshold value, microcracks occur. This process is accompanied by the release of elastic waves. The release of elastic waves is called micro-seismicity [24, 31]. Since the 1930s, the location of such micro-seismicity has been a problem, and the search for micro-seismic phenomena has gained increasing attention. Microseismic monitoring has been successfully applied in practical engineering, such as South Africa’s Integrated Seismic System, Canada’s Engineering Seismology Group, and Poland’s Seismological Observation System [8, 13, 14, 26]. This technique plays an important role in the early warning and prediction of geological hazards including landslide

* R. Q. Huang [email protected] 1



State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, Sichuan, People’s Republic of China



Department of Civil, Surveying and Environmental Engineering, ARC Centre of Excellence for Geotechnical Science and Engineering, The University of Newcastle, Callaghan, NSW 2308, Australia

2

[15, 16, 27, 28, 32]. This technology has been widely used in fields such as mining, underground, and tunnel engineering [4, 7, 22, 23]. Compared with traditional deformation monitoring, micro-seismic monitoring technology shows remarkable three-dimensional space and real-time advantages and is not limited to point measurements. However, source location is a fundamental problem for micro-seismic monitoring. Hence, effective source localization algorithms are vital in developing micro-seismic monitoring technology [9, 19].