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A Particle Swarm Optimization Algorithm Integrating Chaotic Mapping and Opposition-Based Learning for Microseismic Localization in Deep Rock Masses
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Yang Wang1, Heping Xiao2, Yanhui Liu3, Bin Gan2, Yue Huang2, Shibin Tang3
Mining Research and Development | 2026, 46(8) : 67 - 74
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Mining Research and Development | 2026, 46(8): 67-74
A Particle Swarm Optimization Algorithm Integrating Chaotic Mapping and Opposition-Based Learning for Microseismic Localization in Deep Rock Masses
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Yang Wang1, Heping Xiao2, Yanhui Liu3, Bin Gan2, Yue Huang2, Shibin Tang3
Affiliations
  • 1.Guangxi Water Development Group Co., Ltd., Nanning, Guangxi 530022, China
  • 2.Guangxi Zhuang Autonomous Region Water Resources and Electric Power Survey, Design and Research Institute Co., Ltd., Nanning, Guangxi 530023, China
  • 3.School of Infrastructure Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China
Published: 2026-08-25
Outline
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To address the issues of a complex solution space, strong nonlinearity, and easy entrapment in local optima in microseismic localization, the application of swarm intelligence optimization algorithms in microseismic localization was systematically investigated. By comparing the performance of the sparrow search algorithm (SSA), differential evolution (DE) algorithm, and particle swarm optimization (PSO) algorithm in single P-wave localization, it was found that PSO algorithm exhibited the best performance in terms of solution stability. To further increase the localization accuracy and enhance algorithm robustness, S-waves were introduced to construct a dual-wave joint localization model, reducing the inversion space from four dimensions to three dimensions. The experimental results indicate that the dual-wave joint localization significantly outperformed the single P-wave localization, where PSO algorithm achieves the lowest average localization error in the dual-wave joint localization and demonstrated good adaptability. To overcome the shortcomings of the PSO algorithm, such as premature convergence and sensitivity to initial values, an adaptive improved particle swarm optimization (APSO) algorithm integrating opposition-based learning and chaotic mapping was proposed. Opposition-based learning was utilized to generate a high-quality initial population, while chaotic mapping achieved the dynamic adjustment of the inertia weight to balance the global exploration and local exploitation capabilities. The numerical experimental results indicate that the average localization error of APSO algorithm at multiple typical source points is lower than that of the standard PSO algorithm, with the average localization error reduced by approximately 62.4%, and it exhibits stronger stability and convergence efficiency. This method provides an effective tool for high-precision microseismic localization in deep rock mass engineering and has promising prospects for engineering application.

Microseismic localization  /  Particle swarm optimization algorithm  /  Chaotic mapping  /  Opposition-based learning  /  Dual-wave joint localization
王洋, 肖何平, 刘艳晖, 甘彬, 黄越, 唐世斌. 融合混沌映射与反向学习的深部岩体微震定位粒子群优化算法. 矿业研究与开发, 2026 , 46 (8) : 67 -74 .
Yang Wang, Heping Xiao, Yanhui Liu, Bin Gan, Yue Huang, Shibin Tang. A Particle Swarm Optimization Algorithm Integrating Chaotic Mapping and Opposition-Based Learning for Microseismic Localization in Deep Rock Masses[J]. Mining Research and Development, 2026 , 46 (8) : 67 -74 .
Year 2026 volume 46 Issue 8
50
7
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Article Info
  • Receive Date:2026-01-19
  • Online Date:2026-10-27
  • Published:2026-08-25
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  • Received:2026-01-19
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Affiliations
    1.Guangxi Water Development Group Co., Ltd., Nanning, Guangxi 530022, China
    2.Guangxi Zhuang Autonomous Region Water Resources and Electric Power Survey, Design and Research Institute Co., Ltd., Nanning, Guangxi 530023, China
    3.School of Infrastructure Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China
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表12种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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