多模式面波非线性反演

doi:10.13278/j.cnki.jjuese.20180288

Abstract

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

Yan Yingwei, Wang Zhejiang, Han Fei, Liu Cong, Zeng Fanjie. Nonlinear Inversion of Multi-Mode Surface Waves[J].Journal of Jilin University(Earth Science Edition), 2019, 49(6): 1768-1779.

References

[1] Yilmaz Ö, Eser M, Berilgen M. A Case Study of Seismic Zonation in Municipal Areas[J]. The Leading Edge, 2006, 25(3):319-330.
[2] 夏江海.高频面波方法[M].武汉:中国地质大学出版社,2015. Xia Jianghai. High-Frequency Surface Wave Method[M]. Wuhan:Press of China University of Geosciences, 2015.
[3] 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.
[4] 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.
[5] McMechan G A, Yedlin M J. Analysis of Dispersive Waves by Wave Field Transformation[J]. Geophysics, 1981, 46(6):869-874.
[6] Park C B, Miller R D, Xia J. Multichannel Analysis of Surface Waves[J]. Geophysics, 1999, 64(3):800-808.
[7] Steeples D W. Near-Surface Geophysics:75 Years of Progress[J]. The Leading Edge, 2005, 24(Sup. 1):S82-S85.
[8] Safani J. Surface Wave Dispersion Modeling by Full-Wavefield Reflectivity and Inversion for Shallow Subsurface Imaging[D]. Kyoto:Kyoto University, 2007.
[9] Zeng C, Xia J,Liang Q, et al. Comparative Analysis on Sensitivities of Love and Rayleigh Waves[C]//SEG Technical Program Expanded Abstracts. San Antonio:Society of Exploration Geophysicists, 2007:1138-1141.
[10] Luo Y, Xia J, Xu Y, et al. Finite-Difference Modeling and Dispersion Analysis of High-Frequency Love Waves for Near-Surface Applications[J].Pure and Applied Geophysics, 2010, 167(12):1525-1536.
[11] Song X H, Li D Y, Gu H M, et al. Insights into Performance of Pattern Search Algorithms for High-Frequency Surface Wave Analysis[J]. Computers & Geosciences, 2009, 35(8):1603-1619.
[12] Hamimu L, Nawawi M, Safani J. Utilization of Multimode Love Wave Dispersion Curve Inversion for Geotechnical Site Investigation[J]. Journal of Geophysics and Engineering, 2011, 8(2):341-350.
[13] Dal Moro G,Ferigo F. Joint Analysis of Rayleigh-and Love-Wave Dispersion:Issues, Criteria and Improvements[J]. Journal of Applied Geophysics, 2011, 75(3):573-589.
[14] Socco L V, Boiero D, Maraschini M, et al. On the Use of the Norwegian Geotechnical Institute's Prototype Seabed-Coupled Shear Wave Vibrator for Shallow Soil Characterization:II:Joint Inversion of Multimodal Love and Scholte Surface Waves[J]. Geophysics Journal International, 2011, 185(1):237-252.
[15] Xie H, Liu L. Near-Surface Anisotropic Structure Characterization by Love Wave Inversion for Assessing Ground Conditions in Urban Areas[J]. Journal of Earth Science, 2015, 26(6):807-812.
[16] Fang H, Yao H, Zhang H, et al.Direct Inversion of Surface Wave Dispersion for Three-Dimensional Shallow Crustal Structure Based on Ray Tracing:Methodology and Application[J]. Geophysical Journal International, 2015, 201(3):1251-1263.
[17] Wang N, Montagner J P, Burgos G, et al. Intrinsic, Versus, Extrinsic Seismic Anisotropy:Surface Wave Phase Velocity Inversion[J]. Comptes Rendus Geoscience, 2015, 347(2):66-76.
[18] Dalton D R, Slawinski M A, Stachura P, et al. Sensitivity of Love and Quasi-Rayleigh Waves to Model Parameters[J]. Quarterly Journal of Mechanics & Applied Mathematics, 2017, 70(2):103-130.
[19] Virieux J. P-SV Wave Propagation in Heterogenous Media:Velocity-Stress Finite-Difference Method[J]. Geophysics, 1986, 51(4):889-901.
[20] Virieux J. SH-Wave Propagation in Heterogenous Media:Velocity-Stress Finite-Difference Method[J]. Geophysics, 1984, 49(11):1933-1942.
[21] Mittet R. Free-Surface Boundary Conditions for Elastic Staggered-Grid Modeling Schemes[J]. Geophysics, 2002, 67(5):1616-1623.
[22] Graves R W. Simulating Seismic Wave Propagation in 3D Elastic Media Using Staggered-Grid Finite Differences[J]. Bulletin of the Seismological Society of America, 1996, 86(4):1091-1106.
[23] Collino F, Tsogka C. Application of the Perfectly Matched Absorbing Layer Model to the Linear Elastodynamic Problem in Anisotropic Heterogeneous Media[J]. Geophysics, 2006, 66(1):294-307.
[24] 刘四新,朱怡诺,王旭东,等.工程地震折射波解释方法研究进展[J].吉林大学学报(地球科学版),2018,48(2):350-363. Liu Sixin, Zhu Yinuo, Wang Xudong, et al. Progress of Engineering Seismic Refraction Interpretation[J]. Journal of Jilin University (Earth Science Edition), 2018, 48(2):350-363.
[25] 林松,李媛,程邈,等.嘉鱼断裂西向延伸与第四系活动特征[J].吉林大学学报(地球科学版),2018,48(5):1501-1511. Lin Song, Li Yuan, Cheng Miao, et al. Westward Extension and Quaternary Activity Charracteristics of Jiayu Fault[J]. Journal of Jilin University (Earth Science Edition), 2018, 48(5):1501-1511.
[26] Levshin A L, Ritzwoller M H, Shapiro N M. The Use of Crustal Higher Modes to Constrain Crustal Structures Across Central Asia[J]. Geophysical Journal International, 2005, 160(3):961-972.
[27] 凡友华.层状介质中瑞利面波频散曲线正反演研究[D].哈尔滨:哈尔滨工业大学,2001. Fan Youhua. Research of Forward and Inversion for Rayleigh Wave Dispersion Curve in Layered Medium[D]. Harbin:Harbin Institute of Technology, 2001.
[28] 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.
[29] 韩飞,王者江,闫英伟. 基于广义模式识别面波基模式频散曲线反演研究[J].CT理论与应用研究,2017,26(3):309-320. Han Fei, Wang Zhejiang, Yan Yingwei. Research on Inversion of Surface Wave Base Mode Dispersion Curve Based on Generalized Pattern Search[J]. CT Theory and Applications, 2017, 26(3):309-320.
[30] Dokter E, K hn D, Wilken D, et al.Full-Waveform Inversion of SH- and Love-Wave Data in Near-Surface Prospecting[J]. Geophysical Prospecting, 2017, 65(S1):216-236.
[31] Luo Y, Xia J, Miller R D, et al. Rayleigh-Wave Dispersive Energy Imaging Using a High-Resolution Linear Radon Transform[J]. Pure and Applied Geophysics, 2008, 165(5):903-922.

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Nonlinear Inversion of Multi-Mode Surface Waves

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