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Inversion of Rayleigh Wave Dispersion Curve Based on Improved Whale Migration Algorithm
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Zhifu YANG1, Renfei TIAN1, 2, *, Wende MA3, Xianqiong CHENG1
Journal of Geodesy and Geodynamics | 2026, 46(7) : 842 - 850
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Journal of Geodesy and Geodynamics | 2026, 46(7): 842-850
Inversion of Rayleigh Wave Dispersion Curve Based on Improved Whale Migration Algorithm
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Zhifu YANG1, Renfei TIAN1, 2, *, Wende MA3, Xianqiong CHENG1
Affiliations
  • 1 College of Geophysics, Chengdu University of Technology, Chengdu 610059, China
  • 2 Key Lab of Earth Exploration and Information Techniques (Chengdu University of Technology), Ministry of Education, Chengdu 610059, China
  • 3 Institute of Design and Research of Geotechnical Engineering, China Railway Eryuan Engineering Group Co Ltd, Chengdu 610032, China
Published: 2026-07-15 doi: 10.14075/j.jgg.2025.11.389
Outline
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To address the challenges of strong dependence on initial models, low convergence efficiency, and susceptibility to local optima in traditional Rayleigh wave dispersion curve inversion for subsurface shear-wave velocity structure, this study proposes two enhanced algorithms based on the whale migration algorithm (WMA). By introducing Lévy flight and spiral flight strategies, we develop the Lévy flight whale migration algorithm (LF-WMA) and the spiral flight whale migration algorithm (SF-WMA) to strengthen global search capability and local exploitation ability. The performance of five algorithms-damped least squares (Levenberg-Marquardt method, LM), whale optimization algorithm (WOA), WMA, LF-WMA, and SF-WMA-was systematically evaluated using Rastrigin function tests, theoretical geological models, random noise tests, and field data applications. The results demonstrate that SF-WMA outperforms the other methods in inversion accuracy, stability, convergence speed, and noise robustness. It achieves the optimal solution of 4.74×10-10 in the Rastrigin test, exhibits the smallest error and fastest convergence in noisy models, and, when applied to real seismic data, clearly reveals stratigraphic structures within the 0 to 30 m depth range. The inversion results are in good agreement with

Rayleigh wave  /  dispersion curve  /  whale migration algorithm  /  Lévy flight  /  spiral flight
杨植富, 田仁飞, 马文德, 程先琼. 基于改进鲸鱼迁徙算法的瑞雷波频散曲线反演. 大地测量与地球动力学, 2026 , 46 (7) : 842 -850 . DOI: 10.14075/j.jgg.2025.11.389
Zhifu YANG, Renfei TIAN, Wende MA, Xianqiong CHENG. Inversion of Rayleigh Wave Dispersion Curve Based on Improved Whale Migration Algorithm[J]. Journal of Geodesy and Geodynamics, 2026 , 46 (7) : 842 -850 . DOI: 10.14075/j.jgg.2025.11.389
Year 2026 volume 46 Issue 7
37
15
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Article Info
doi: 10.14075/j.jgg.2025.11.389
  • Receive Date:2025-11-13
  • Online Date:2026-10-30
  • Published:2026-07-15
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  • Received:2025-11-13
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Affiliations
    1 College of Geophysics, Chengdu University of Technology, Chengdu 610059, China
    2 Key Lab of Earth Exploration and Information Techniques (Chengdu University of Technology), Ministry of Education, Chengdu 610059, China
    3 Institute of Design and Research of Geotechnical Engineering, China Railway Eryuan Engineering Group Co Ltd, Chengdu 610032, 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
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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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