Journal of Jilin University(Earth Science Edition) ›› 2019, Vol. 49 ›› Issue (6): 1768-1779.doi: 10.13278/j.cnki.jjuese.20180288

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Nonlinear Inversion of Multi-Mode Surface Waves

Yan Yingwei1,2, Wang Zhejiang1, Han Fei3, Liu Cong1, Zeng Fanjie1   

  1. 1. College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China;
    2. Academy of Opto-Electronics, China Electronic Technology Group Corporation, Tianjin 300308, China;
    3. China Water Northeastern Investigation, Design & Research Co., Ltd., Changchun 130061, China
  • Received:2018-11-12 Published:2019-11-30
  • Supported by:
    Supported by National Key R & D Program of China (2018YFC0807902)

Abstract: Utilization of high frequency surface waves to invert S-wave velocity has been a hotspot in shallow seismic engineering research. To deeply understand the ability of high-frequency surface waves (Rayleigh waves and Love waves) to invert S-wave velocity, in this study, the high-order staggered-grid finite-difference method is used to simulate the Rayleigh and Love waves of a two-layer model. The t-p transformation is adopted to generate the dispersion energy image. Compared with Rayleigh waves, the Love waves dispersion energy of different modes is extremely consistent, which shows that multi-mode inversion is easier to achieve. The generalized pattern search is then realized by linear mapping to achieve the variable-thickness inversion of base mode and multi-mode Rayleigh waves and Love waves of a four-layer model with a weak interlayer. If the initial model is extremely poor, compared to Love waves,the base mode inversion of Rayleigh waves cannot reconstruct the feature of strata with a weak interlayer, which can be attained by multi-mode inversion of Rayleigh waves. Base mode and multi-mode inversion of Love waves can reconstruct this feature. Even when the Poisson's ratio of the stratum is much different from the estimated value, the multi-mode inversion of Rayleigh waves can still reconstruct the stratum structure. However, the multi-mode dispersion curve of Rayleigh waves always has the phenomenon of mode kissing, leading to misjudge. The Love-wave inversion does not require an estimated value of Poisson's ratio, and there is no mode kissing. A series of examples show that an addition of high-mode Rayleigh waves can significantly improve the accuracy of the shear wave velocity evaluation results;although an addition of high-mode Love waves would make the inversion system too sensitive to the parameters of anomalous strata above the half space, making the parameters excessive, it can improve the ability significantly to evaluate the shear wave velocity of the half space. Finally, the analysis of field Love-wave data is realized by using this method.

Key words: high frequency surface waves, pattern search, linear mapping, multi-mode inversion, S-wave velocity

CLC Number: 

  • P631.4
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