Wave equation dispersion inversion using a difference approximation to the dispersion-curve misfit gradient

作者: Zhen-dong Zhang , Gerard Schuster , Yike Liu , Sherif M. Hanafy , Jing Li

DOI: 10.1016/J.JAPPGEO.2016.07.019

关键词: Stokes waveWave packetWave propagationClassical mechanicsPhase velocityDispersion relationGroup velocityPlane waveMathematical analysisSurface waveMathematics

摘要: Abstract We present a surface-wave inversion method that inverts for the S-wave velocity from Rayleigh wave dispersion curve using difference approximation to gradient of misfit function. call this equation skeletonized surface waves because fundamental-mode is inverted finite-difference solutions multi-dimensional elastic equation. The best match between predicted and observed curves provides optimal model. Our can invert lateral variations also mitigate local minimum problem in full waveform with reasonable computation cost simple models. Results synthetic field data illustrate benefits limitations method.

参考文章(22)
Soheil Nazarian, W. R. Hudson, Kenneth H. Stokoe, USE OF SPECTRAL ANALYSIS OF SURFACE WAVES METHOD FOR DETERMINATION OF MODULI AND THICKNESSES OF PAVEMENT SYSTEMS. Transportation Research Record. pp. 38- 45 ,(1983)
Kenneth H. Stokoe, Soheil Nazarian, Richard Rogers, Robert C. Briggs, Determination of pavement layer thicknesses and moduli by SASW method Transportation Research Record. pp. 133- 150 ,(1988)
George A McMechan, Mathew J Yedlin, None, Analysis of dispersive waves by wave field transformation GEOPHYSICS. ,vol. 46, pp. 869- 874 ,(1981) , 10.1190/1.1441225
Jianghai Xia, Richard D. Miller, Choon B. Park, Julian Ivanov, Gang Tian, Chao Chen, Utilization of high-frequency Rayleigh waves in near-surface geophysics Geophysics. ,vol. 23, pp. 753- 759 ,(2004) , 10.1190/1.1786895
Shaokong Feng, Takeshi Sugiyama, HIroakI Yamanaka, Effectiveness of multi-mode surface wave inversion in shallow engineering site investigations Exploration Geophysics. ,vol. 36, pp. 26- 33 ,(2005) , 10.1071/EG05026
Jianghai Xia, Richard D Miller, Choon B Park, Gang Tian, Determining Q of near-surface materials from Rayleigh waves Journal of Applied Geophysics. ,vol. 51, pp. 121- 129 ,(2002) , 10.1016/S0926-9851(02)00228-8
Choon Byong Park, Richard D. Miller, Jianghai Xia, Imaging dispersion curves of surface waves on multi-channel record Seg Technical Program Expanded Abstracts. pp. 1377- 1380 ,(1998) , 10.1190/1.1820161
Lisa Groos, Martin Schäfer, Thomas Forbriger, Thomas Bohlen, The role of attenuation in 2D full-waveform inversion of shallow-seismic body and Rayleigh waves Geophysics. ,vol. 79, pp. 247- ,(2014) , 10.1190/GEO2013-0462.1
P. GABRIELS, R. SNIEDER, G. NOLET, IN SITU MEASUREMENTS OF SHEAR‐WAVE VELOCITY IN SEDIMENTS WITH HIGHER‐MODE RAYLEIGH WAVES* Geophysical Prospecting. ,vol. 35, pp. 187- 196 ,(1987) , 10.1111/J.1365-2478.1987.TB00812.X