Sensitivity analysis of multi-mode Rayleigh and Love wave phase-velocity dispersion curves in horizontal layered models

YIN Xiaofei1 XU Hongrui2 HAO Xiaohan3 SUN Shida4 WANG Peng1

(1.Institute of Earthquake Forecasting, China Earthquake Administration, Beijing, China 100036)
(2.Subsurface Imaging and Sensing Laboratory, China Unversity of Geosciences (Wuhan), Wuhan, Hubei Province, China 430074)
(3.Zhejiang Provincial Institute of Communications Planning, Design & Research CO., LTD., Hangzhou, Zhejiang Province, China 310000)
(4.MOE Key Laboratory of Fundamental Physical Quantities Measurements, Hubei Key Laboratory of Gravitation and Quantum Physics, School of Physics, Huazhong University of Science and Technology, Wuhan, Hubei Province, China 430074)

【Abstract】High-frequency surface-wave method with Rayleigh wave and Love wave as the main study objects is widely applied in various fields such as underground water, environment and engineering. For horizontal layered models, S-wave velocities are the most important parameters for estimating multi-mode Rayleigh wave and Love wave phase-velocity dispersion curves. In this paper, the Jacobian matrix was used to infer the sensitivities of multi-mode Rayleigh wave and Love wave phase-velocity dispersion curves to S-wave velocities of the formations at different depths. The following conclusions were drawn. (1) The sensitivities of surface waves of different modes to the S-wave velocity at a certain depth are different. For both Rayleigh wave and Love wave, low-frequency surface wave is more sensitive to the S-wave velocities in deep formations, compared with high-frequency surface wave. Moreover, multi-mode phase velocities with a broad high-frequency range are sensitive to surface S-wave velocity. (2) Based on a velocity increasing layered model and two layered models with velocity anomalies (containing low-velocity interlayer and high-velocity interlayer), the analysis suggested that the phase-velocity dispersion curves of both Rayleigh wave and Love wave are sensitive to S-wave velocity in low-velocity layer, and they are both not sensitive to the S-wave velocity in high-velocity layer or below velocity anomaly layer (low-velocity layer or high-velocity layer). (3) For surface wave of a certain mode, the frequency band of Love wave, in which phase-velocity dispersion curves are sensitive to S-wave velocity of a specific layer, is wider than that of Rayleigh wave. In addition, the sensitivity peaks of Rayleigh wave and Love wave phase-velocity dispersion curves to S-wave velocity of a certain layer are different. Therefore, joint inversion of multi-mode Rayleigh wave and Love wave phase-velocity dispersion curves can be applied to obtain high-precision shallow subsurface S-wave velocity.

【Keywords】 Rayleigh wave; Love wave; multi-mode; phase-velocity dispersion curves; Jacobian matrix; sensitivity analysis;

【DOI】

【Funds】 National Natural Science Foundation of China “Joint Inversion of Rayleigh wave H/V and Pure-path Phase-velocity Dispersion Curve to Obtain Shallow-subsurface S-wave Velocity” (41804139)

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    References

    [1] Strutt J W. On waves propagated along the plane surface of an elastic solid [J]. Proceedings of the London Mathematical Society, 1885, 17 (1): 4–11.

    [2] Sheriff R E. Encyclopedic Dictionary of Applied Geophysics (4th Edition) [M]. SEG, Tulsa, OK, 2002, 429.

    [3] Bullen K E, Bolt B A. An Introduction to the Theory of Seismology [M]. Cambridge University Press, 1985.

    [4] Xia J, Miller R D, Xu Y, et al. High-frequency Rayleigh-wave method [J]. Journal of Earth Science, 2009, 20 (3): 563–579.

    [5] XIA Jianghai, GAO Lingli, PAN Yudi, et al. New findings in high-frequency surface wave method [J]. Chinese Journal of Geophysics, 2015, 58 (8): 2591–2605 (in Chinese).

    [6] CAI Wei, SONG Xianhai, YUAN Shichuan, et al. Fast and stable Rayleigh-wave dispersion-curve inversion based on particle swarm optimization [J]. Oil Geophysical Prospecting, 2018, 53 (1): 25–34 (in Chinese).

    [7] Xia J, Miller R D, Park C B. Estimation of near-surface shear-wave velocity by inversion of Rayleigh waves [J]. Geophysics, 1999, 64 (3): 691–700.

    [8] SHAO Guangzhou, LI Qingchun. Joint application of τ-p and phase-shift stacking method to extract ground wave dispersion curve [J]. Oil Geophysical Prospecting, 2010, 45 (6): 836–840 (in Chinese).

    [9] LI Xinxin, LI Qingchun. Rayleigh wave dispersion curve imaging using improved F-K transform approach [J]. Progress in Geophysics, 2017, 32 (1): 191–197 (in Chinese).

    [10] JIANG Fuhao, LI Peiming, ZHANG Yimeng, et al. Frequency dispersion analysis of MASW in real seismic data [J]. Oil Geophysical Prospecting, 2018, 53 (1): 17–46 (in Chinese).

    [11] LU Laiyu, ZHANG Bixing, WANG Chenghao. Experiment and inversion studies on Rayleigh wave considering higher modes [J]. Chinese Journal of Geophysics, 2006, 49 (4): 1082–1091 (in Chinese).

    [12] Xia J, Xu Y, Luo Y, et al. Advantages of using multichannel analysis of Love waves (MALW) to estimate near-surface shear-wave velocity [J]. Surveys in Geophysics, 2012, 33 (5): 841–860.

    [13] LI Ziwei and LIU Xuewei. Effects of spatial aliasing on frequency-wavenumber domain inversion of Rayleigh-wave dispersion curve [J]. Oil Geophysical Pro-specting, 2013, 48 (3): 395–402 (in Chinese).

    [14] AI Donghai. Particle Swarm Optimization Algorithms for Nonlinear Inversion of Rayleigh-wave Dispersion Curves [D]. China University of Geosciences (Wuhan), Wuhan, Hubei, 2009 (in Chinese).

    [15] Hamimu L, Safani J, Nawawi M. Improving the accurate assessment of a shear-wave velocity reversal profile using joint inversion of the effective Rayleigh wave and multimode Love wave dispersion curves [J]. Near Surface Geophysics, 2011, 9 (1): 1–14.

    [16] LUO Yinhe, XIA Jianghai, LIU Jiangping, et al. Joint inversion of fundamental and higher mode Rayleigh waves [J]. Chinese Journal of Geophysics, 2008, 51 (1): 242–249 (in Chinese).

    [17] Feng S, Sugiyama T, Yamanaka H. Effectiveness of multi-mode surface wave inversion in shallow engineering site investigations [J]. Exploration Geophysics, 2005, 36 (1): 26–33.

    [18] Lai C G, Rix G J, Foti S, et al. Simultaneous measurement and inversion of surface wave dispersion and attenuation curves [J]. Soil Dynamics and Earthquake Engineering, 2002, 22 (9): 923–930.

    [19] Zeng C, Xia J, Liang Q, et al. Comparative analysis on sensitivities of Love and Rayleigh waves [C]. SEG Technical Program Expanded Abstracts, 2007, 26: 1138–1141.

    [20] Liang Q, Chen C, Zeng C, et al. Inversion stability analysis of multimode Rayleigh-wave dispersion curves using low-velocity-layer models [J]. Near Surface Geophysics, 2008, 6 (3): 157–165.

    [21] Jin X, Luke B and Lipinska-Kalita K. Surface-wave sensitivity to a high-velocity inclusion [C]. Proceeding of the Symposium on the Application of Geophysics to Engineering and Environmental Problems (SAGEEP), Annual Meeting of the Environmental and Engineering Geophysical Society (EEGS), 2007, Denver, CO.

    [22] Yin X, Xia J, Shen C, et al. Comparative analysis on penetrating depth of high-frequency Rayleigh and Love waves [J]. Journal of Applied Geophysics, 2014, 111: 86–94.

    [23] Shen C, Xu Y, Pan Y, et al. Sensitivities of phase-velocity dispersion curves of surface waves due to low-velocity-layer and high-velocity-layer models [J]. Journal of Applied Geophysics, 2016, 135: 367–374.

    [24] Schwab F A, Knopoff L. Fast surface wave and free mode computations [J]. Methods in Computational Physics, 1972, 11 (1): 87–180.

    [25] Eslick R, Tsoflias G, Steeples D W. Field investigation of Love waves in near-surface seismology [J]. Geophysics, 2008, 73 (3): G1–G6.

    [26] Aki K, Richards P G. Quantitative Seismology: Theory and Methods [M]. Freeman, San Francisco, 1980.

    [27] Schwab F A, Knopoff L. Surface-wave dispersion computations [J]. Bulletin of the Seismological Society of America, 1970, 60 (2): 321–344.

    [28] Preiss W H, Teukolsky S A, Vetterling W T, et al. Numerical Recipes in C++: The Art of Scientific Computing (2nd Edition) [M]. Cambridge University Press, Cambridge, 2002.

    [29] Gao L, Xia J, Pan Y, et al. Reason and condition for mode kissing in MASW method [J]. Pure and Applied Geophysics, 2016, 173 (5): 1627–1638.

    [30] SHAO Guangzhou, LI Qingchun, WU Hua. Characteristics of Rayleigh wave dispersion curve based on wave-field numerical simulation and energy distribution of each mode [J]. Oil Geophysical Prospecting, 2015, 50 (2): 306–315 (in Chinese).

    [31] Calderón-Macías C, Luke B. Improved parameterization to invert Rayleigh-wave data for shallow profiles containing stiff inclusions [J]. Geophysics, 2006, 72 (1): U1–U10.

    [32] SHEN Chao.Automatic Picking Phase-velocity Dispersion Curves in High-frequency Surface Wave Method [D]. China University of Geosciences (Wuhan), Wuhan, Hubei, 2014 (in Chinese).

    [33] Leslie D M, Evans B J. The effects of high-velocity layering on seismic wave propagation [C]. SEG Technical Program Expanded Abstracts, 1999, 18: 1809.

This Article

ISSN:1006-4583

CN: 11-3586/F

Vol , No. 06, Pages 12-28+96

November 2016

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Article Outline

Abstract

  • 0 Introduction
  • 1 Methodology
  • 2 Sensitivity analysis of surface-wave phase-velocity dispersion curves in horizontal layered model
  • 3 Conclusions
  • References