Addressing non-uniqueness in linearized multichannel surface wave inversion

Geophysical Prospecting

Volumn 57, Issue 1, 2009, Pages 27-47

  Cercato, Michele ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE VELOCITY; FLUID DYNAMICS; INVERSE PROBLEMS; LINEARIZATION; MODAL ANALYSIS; SHEAR WAVES; SURFACE WAVES; VELOCITY; VELOCITY MEASUREMENT; WATER WAVES; WAVES;

A POSTERIORI; ADEQUATE MODELS; CLASS OF METHODS; COMMERCIAL SOFTWARES; DISPERSION CURVES; FLEXIBLE WAYS; INEQUALITY CONSTRAINTS; INVERSION ALGORITHMS; INVERSION METHODS; INVERSION PROCESSES; LEAST-SQUARES METHODS; LINEARIZED ALGORITHMS; MODEL PARAMETERS; MULTI CHANNEL SURFACE WAVES; MULTICHANNEL ANALYSIS; NON UNIQUENESSES; OBJECTIVE FUNCTIONS; PARTIAL DERIVATIVES; PHYSICAL CONSTRAINTS; PRIORI INFORMATIONS; RAYLEIGH; RESOLUTION ANALYSIS; SYNTHETIC AND REAL DATUMS; UNCERTAINTY ESTIMATIONS; VELOCITY DISPERSIONS; WAVE PHASE; WAVE VELOCITIES;

UNCERTAINTY ANALYSIS;

ALGORITHM; DATA INVERSION; INVERSE PROBLEM; RAYLEIGH WAVE; S-WAVE; SEISMIC VELOCITY;

EID: 57549111250     PISSN: 00168025     EISSN: 13652478     Source Type: Journal    
DOI: 10.1111/j.1365-2478.2007.00719.x     Document Type: Article

References (44)

1. Aki K. and Richards P.G. 2002. Quantitative Seismology, 2nd edn. University Science Books. ISBN 0935702962.
2. Al-Eqabi G.I. and Herrmann R.B. 1993. Ground roll: A potential tool for constraining shallow shear-wave structure. Geophysics 58, 713-719.
3. Arai H. and Tokimatsu K. 2005. S-wave velocity profiling by joint inversion of microtremor dispersion curve and horizontal-to-vertical (H/ V) spectrum. Bulletin of the Seismological Society of America 95, 1766-1778.
4. Beaty K.S., Schmitt D.R. and Sacchi M. 2002. Simulated annealing inversion of multimode Rayleigh wave dispersion curves for geological structure. Geophysical Journal International 151, 622-631.
5. Calderón-Macías C. and Luke B. 2007. Improved parameterization to invert Rayleigh-wave data for shallow profiles containing stiff inclusions. Geophysics 72, U1-U10.
6. Cardarelli E. and Fischanger F. 2006. 2D data modelling by electrical resistivity tomography for complex subsurface geology. Geophysical Prospecting 54, 121-133.
7. Cercato M. 2007a. Computation of partial derivatives of Rayleigh-wave phase velocity using second-order subdeterminants. Geophysical Journal International 170, 217-238.
8. Cercato M. 2007b. Linearized inversion of MASW data using inequality constraints. EAGE Near Surface meeting, Istanbul, Turkey, Expanded Abstracts, B15.
9. Constable S.C., Parker R.L. and Constable C.G. 1987. Occam's inversion: a practical algorithm for generating smooth models from electromagnetic sounding data. Geophysics 52, 289-300.
10. Dal Moro G., Pipan M. and Gabrielli P. 2007. Rayleigh wave dispersion curve inversion via genetic algorithms and marginal posterior probability density estimation. Journal of Applied Geophysics 61, 39-55.
11. Dunkin J.W. 1965. Computation of modal solutions in layered, elastic media at high frequencies. Bulletin of the Seismological Society of America 12, 335-358.
12. Forbriger T. 2003. Inversion of shallow-seismic wavefields: II. Inferring subsurface properties from wavefield transforms. Geophysical Journal International 153, 735-752.
13. Gabriels P., Snieder R. and Nolet G. 1987. In situ measurements of shear-wave velocity in sediments with higher-mode Rayleigh waves. Geophysical Prospecting 35, 187-196.
14. Herrmann R.B.H. and Ammon C.J. 2002. Computer Programs in Seismology. Surface Wave, Receiver Functions and Crustal Structure. St. Louis University.
15. Ivanov J., Park C.B., Miller R.D. and Xia J. 2005. Analyzing and filtering surface-wave energy by muting shot gathers. Journal of Environmental and Engineering Geophysics 10, 307-322.
16. JuliàJ., Ammon C.J., Herrmann R.B.H. and Correig A.M. 2000. Joint inversion of receiver function and surface wave dispersion observations. Geophysical Journal International 143, 99-112.
17. Kerry N.J. 1981. Synthesis of seismic surface waves. Geophysical Journal of the Royal Astronomical Society 64, 425-446.
18. Kim H.J., Song Y. and Lee K.H. 1999. Inequality constraint in least squares inversion of geophysical data. Earth, Planets and Space 51, 255-259.
19. Lai C.G. and Rix G.J. 1998. Simultaneous inversion of Rayleigh phase velocity and attenuation for near surface characterization. Research Report, Georgia Institute of Technology, Atlanta.
20. Lai C.G., Foti S. and Rix G.J. 2005. Propagation of data uncertainty in surface wave inversion. Journal of Environmental and Engineering Geophysics 10, 219-228.
21. Levshin A.L. and Panza G.F. 2006. Caveats in multi-modal inversion of seismic surface wavefields. Pure and Applied Geophysics 163, 1215-1233.
22. Luke B. and Calderón-Macías C. 2007. Inversion of seismic surface wave data to resolve complex profiles. Journal of Geotechnical and Geoenvironmental Engineering 133, 155-165.
23. Menke W.H. 1989. Geophysical Data Analysis: Discrete Inverse Theory. Academic Press. ISBN 0124909213.
24. Müller G. 1985. The reflectivity method: A tutorial. Journal of Geophysics 58, 153-174.
25. Nolet G. 1981. Linearized inversion of teleseismic data. In: The Solution of the Inverse Problem in Geophysical Interpretation (ed. R. Cassinis), pp. 9-37. Plenum Press, New York. ISBN 0306407353.
26. O'Neill A., Dentith M. and List R. 2003. Full-waveform P-SV reflectivity inversion of surface waves for shallow engineering applications. Exploration Geophysics 34, 158-173.
27. Park C.B. 1998. Imaging dispersion curves of surface waves on multi-channel record. 68th SEG meeting, New Orleans, Louisiana, USA, Expanded Abstracts, 1377-1380.
28. Park C.B., Miller R.D. and Xia J. 1999. Multichannel analysis of surface waves. Geophysics, 64, 800-808.
29. Park C.B., Miller R.D., Ryden N., Xia J. and Ivanov J. 2005. Combined use of Active and passive surface waves. Journal of Environmental and Engineering Geophysics, 10, 323-334.
30. Parker R.L. 1994. Geophysical Inverse Theory. Princeton University Press. ISBN 0691036349.
31. Press W.H., Teukolsky S.A., Vetterling W.T. and Flannery B.P. 1997. Numerical Recipes in C. Cambridge University Press.
32. Ryden N. and Park C.B. 2006. Fast simulated annealing inversion of surface waves on pavement using phase-velocity spectra. Geophysics, 71, R49-R58.
33. Sasaki Y. 1989. Two-dimensional joint inversion of magnetotelluric and dipole-dipole resistivity data. Geophysics 54, 254-262.
34. Socco L.V. and Strobbia C. 2004. Surface-wave method for near-surface characterization: A tutorial. Near Surface Geophysics, 2, 165-185.
35. Tokimatsu K., Tamura S. and Kojima H. 1992. Effects of multiple modes on Rayleigh wave dispersion. Journal of Geotechnical Engineering 118, 1529-1543.
36. Wathelet M., Jongsman D. and Ornberger M. 2004. Surface wave inversion using a direct search algorithm and its application to ambient vibration measurements. Near Surface Geophysics, 2, 211-221.
37. Watson T.H. 1970. A note on fast computation of Rayleigh wave dispersion in the multilayered elastic half-space. Bulletin of the Seismological Society of America 60, 161-166.
38. Wiggins R.A. 1972. The general linear inverse problem: Implication of surface waves and free oscillations for earth structure. Reviews of Geophysics and Space Physics 110, 251-285.
39. Xia J., Miller R.D. and Park C.B. 1999. Estimation of near-surface shear-wave velocity by inversion of Rayleigh waves. Geophysics 64, 691-700.
40. Xia J., Miller R.D., Park C.B. and Tian G. 2003. Inversion of high frequency surface waves with fundamental and higher modes. Journal of Applied Geophysics 52, 45-57.
41. Xia J., Xu Y., Chen C., Kaufmann R.D. and Luo Y. 2006. Simple equations guide high-frequency surface-wave investigation techniques. Soil Dynamics and Earthquake Engineering 26, 395-403.
42. Yamanaka H. 2005. Comparison of the performance of heuristic search methods for phase velocity inversion in the shallow surface wave method. Journal of Environmental and Engineering Geophysics 10, 163-173.
43. Yuan D. and Nazarian S. 1993. Automated surface wave method: Inversion technique. Journal of Geotechnical Engineering 119, 1112-1126.
44. Zhang S.X., Chang L.S. and Xia J. 2004. The selection of field acquisition parameters for dispersion images from multichannel surface wave data. Pure and Applied Geophysics 161, 185-201.