Verification of correctness of using real part of complex root as Rayleigh-wave phase velocity with synthetic data

Journal of Applied Geophysics

Volumn 88, Issue , 2013, Pages 94-100

  Pan, Yudi ^a   Xia, Jianghai ^a   Zeng, Chong ^b  

^a CHINA UNIVERSITY OF GEOSCIENCES   (China)

^b BGP International Inc   (United States)

Author keywords

Phase velocity; Rayleigh wave; Real part of complex root; Synthetic models

Indexed keywords

COMPLEX NUMBER; COMPLEX ROOTS; DISPERSION CURVES; DISPERSION EQUATIONS; EARTH MODELS; HALF-SPACE; HIGH FREQUENCY HF; HIGH VELOCITY; LOW VELOCITIES; LOW VELOCITY LAYERS; LOW-VELOCITY; NEAR-SURFACE GEOPHYSICS; RAYLEIGH-WAVE PHASE VELOCITY; REAL PART; REAL WORLD SITUATIONS; SHEAR-WAVE VELOCITY; SYNTHETIC DATA; SYNTHETIC MODELS;

GEOMETRY; RAYLEIGH WAVES;

PHASE VELOCITY;

DISPERSION; NUMERICAL MODEL; PHASE VELOCITY; RAYLEIGH WAVE; S-WAVE; WAVE VELOCITY;

EID: 84869878176     PISSN: 09269851     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jappgeo.2012.09.012     Document Type: Article

References (34)

1. Abo-Zena A. Dispersion function computations for unlimited frequency values. Geophysical Journal of the Royal Astronomical Society 1979, 58:91-105.
2. Dunkin J.W. Computation of modal solutions in layered elastic media at high frequencies. Bulletin of the Seismological Society of America 1965, 55:335-358.
3. Fan Y., Liu J., Xiao B. Fast vector-transfer algorithm for computation of Rayleigh wave dispersion curves. Journal of Hunan University (Natural Sciences) 2002, (5):25-30.
4. Haskell N.A. The dispersion of surface waves on multilayered media. Bulletin of the Seismological Society of America 1953, 43:17-34.
5. Kennett B.L.N. Reflections, rays, and reverberations. Bulletin of the Seismological Society of America 1974, 64(6):1685-1696.
6. Knopoff L. A matrix method for elastic wave problems. Bulletin of the Seismological Society of America 1964, 54:431-438.
7. Luo Y., Xia J., Miller R.D., Xu Y., Liu J., Liu Q. Rayleigh-wave dispersive energy imaging by high-resolution linear Radon transform. Pure and Applied Geophysics 2008, 165(5):903-922.
8. Menke W. Comment on 'Dispersion function computations for unlimited frequency values' by Anas Abo-Zena. Geophysical Journal of the Royal Astronomical Society 1979, 59:315-323.
9. Park C.B., Miller R.D., Xia J. Imaging dispersion curves of surface waves on multi-channel record. Technical Program with Biographies, SEG, 68th Annual Meeting, New Orleans, Louisiana 1998, 1377-1380.
10. Phinney R.A. Propagation of leaking interface waves. Bulletin of the Seismological Society of America 1961, 51:527-555.
11. Rayleigh L. On waves propagated along the plane surface of an elastic solid. Proceedings of the London Mathematical Society 1885, 17:4.
12. Roth M., Spitzer R., Nitsche F. Seismic survey across an environment with very high Poisson's ratio. Proc. 12th Annu. Int. Meeting., Symp. Application of Geophysics to Engineering and Environmental Problems 1999, 49-55.
13. Schröder C.T., Scott W.R. On the complex conjugate roots of the Rayleigh equation: the leaky surface wave. Journal of the Acoustical Society of America 2001, 110:2867-2877.
14. Schwab F.A., Knopoff L. Surface-wave dispersion computations. Bulletin of the Seismological Society of America 1970, 60:321-344.
15. Schwab F.A., Knopoff L. Fast surface wave and free mode computations. Methods in Computational Physics 1972, 87-180. Academic Press, New York. B.A. Bolt (Ed.).
16. Sheriff R.E. Encyclopedic Dictionary of Exploration Geophysics 1991, Society of Exploration Geophysicists, Tulsa, OK, USA.
17. Thrower E.N. The computation of the dispersion of elastic waves in layered media. Journal of Sound and Vibration 1965, 2:210-226.
18. Waston T.H. A note on fast computation of Rayleigh wave dispersion in multilayered half-space. Bulletin of the Seismological Society of America 1970, 60:161-166.
19. Xia J., Miller R.D., Park C.B. Estimation of near-surface shear-wave velocity by inversion of Rayleigh wave. Geophysics 1999, 64(3):691-700.
20. Xia J., Miller R.D., Park C.B., Tian G. Determining Q of near-surface materials from Rayleigh waves. Journal of Applied Geophysics 2002, 51(2-4):121-129.
21. Xia J., Miller R.D., Park C.B., Tian G. Inversion of high frequency surface waves with fundamental and higher modes. Journal of Applied Geophysics 2003, 52:45-57.
22. Xia J., Xu Y., Miller R.D., Chen C. Estimation of elastic moduli in a compressible Gibson half-space by inverting Rayleigh wave phase velocity. Surveys in Geophysics 2006, 27(1):1-17.
23. Xia J., Xu Y., Chen C., Kaufmann R.D., Luo Y. Simple equations guide high-frequency surface-wave investigation techniques. Soil Dynamics and Earthquake Engineering 2006, 26(5):395-403.
24. Xia J., Miller R.D., Xu Y., Luo Y., Chen C., Liu J., Ivanov J., Zeng C. High-frequency Rayleigh-wave method. Journal of Earth Science 2009, 20(3):563-579.
25. Xia J., Xu Y., Miller R.D., Ivanov J. Estimation of near-surface quality factors by constrained inversion of Rayleigh-wave attenuation coefficients. Journal of Applied Geophysics 2012, 82:137-144.
26. Xu Y., Xia J., Miller R.D. Quantitative estimation of minimum offset for multichannel surface-wave survey with actively exciting source. Journal of Applied Geophysics 2006, 59:117-125.
27. Xu Y., Xia J., Miller R.D. Numerical investigation of implementation of air-earth boundary by acoustic-elastic boundary approach. Geophysics 2007, 72(5):SM147-SM153.
28. Xu Y., Xia J., Miller R.D. Approximation to cutoffs of higher modes of Rayleigh waves for a layered earth model. Pure and Applied Geophysics 2009, 166(3):339-351.
29. Yang T., Yi W. A Study of leaky mode wave and Zig-Zag dispersion curve in Rayleigh-wave exploration. Computing Techniques for Geophysical and Geochemical Exploration 2005, 27(4):295-300.
30. Zeng C., Xia J., Miller R.D., Tsoflias G.P. Feasibility of waveform inversion of Rayleigh waves for shallow shear-wave velocity using genetic algorithm. Journal of Applied Geophysics 2011, 75:648-685.
31. Zeng C., Xia J., Miller R.D., Tsoflias G.P. Application of the multiaxial perfectly matched layer (M-PML) to near-surface seismic modeling with Rayleigh waves. Geophysics 2011, 76(3):T43-T52.
32. Zeng C., Xia J., Miller R.D., Tsoflias G.P. An improved vacuum formulation for finite-difference modeling of Rayleigh waves including surface topography and internal discontinuity. Geophysics 2012, 77(1):T1-T9.
33. Zhang B., Yu L., Xiong W., Lan C. Study of acoustic wave and surface waves in stratified media. Acta Acustica 1997, 22(3):230-241.
34. Zhang S.X., Chan L.S., Xia J. The selection of field acquisition parameters for dispersion images from multichannel surface wave data. Pure and Applied Geophysics 2004, 161:185-201.