Using Levenberg—Marquardt Method In Dispersion Curve Fitting

References

1. ÇaylakÇ., GöktürklerG. and SarıC.
   [2012] Inversion of multi-channel surface wave data using a sequential hybrid approach. Journal of Geophysics and Engineering, 9, 19–28.
   [Google Scholar]
2. Dal MoroG., 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.
   [Google Scholar]
3. HaskellN.A
   [1953] The dispersion of surface waves on multilayered media. Bulletin of the Seismological Society of America, 43, 17–34.
   [Google Scholar]
4. IvanovJ., Peterie, S., Johnson, C.D., Lane, J.W., Miller, R.D. and ClemensD.
   [2009] Near-surface evaluation of Ball Mountain Dam, Vermont, using multichannel analysis of surface waves (MASW) and refraction tomography seismic methods on land-streamer data. 79th Annual International Meeting, SEG, Expanded Abstracts, 28, no. 1, 1454–1458.
   [Google Scholar]
5. KauselE. and RoessetJ.M.
   [1981] Stiffness matrices for layered soils. Bulletin of the Seismological Society of America, 71, 1743–61.
   [Google Scholar]
6. LevenbergK.
   [1944] A method for the solution of certain non-linear problems in least squares. Quarterly of Applied Mathematics, 2, 164–8.
   [Google Scholar]
7. LinesL.R. and TreitelS.
   [1984] Tutorial: a review of least-squares inversion and its application to geophysical problems. Geophysical Prospecting, 32, 159–186.
   [Google Scholar]
8. MarquardtD.W.
   [1963] An algorithm for least squares estimation of nonlinear parameters. Journal of the Society for Industrial and Applied Mathematics, 11, 431–41.
   [Google Scholar]
9. MillerR.D., Xia, J., Park, C.B., IvanovJ.M.
   [1999]. Multichannel analysis of surfaces waves to map bedrock. The Leading Edge, 18, 1392–1396.
   [Google Scholar]
10. ParkC.B. MillerR.D. and XiaJ.
    [1999] Multichannel analysis of surface waves. Geophysics, 64, 800–8.
    [Google Scholar]
11. ParkC.B., MillerR.D.
    [2005] Seismic Characterization of Wind Turbine Sites in Kansas by the MASW Method. Barr Engineering Company, Open File Report.
    [Google Scholar]
12. PoormirzaeeR. and MoghadamR. H.
    [2014] Using Particle Swarm Optimization Method to Invert Active Surface Waves. LNCS, volume 8472, pp. 26–34.
    [Google Scholar]
13. RydenN., Park, C.B., Ulriksek, P. and MillerR.D.
    [2004] Multimodal Approach to Seismic Pavement Testing. Journal of Geotechnical and Geoenvironmental Engineering, 130, 6.
    [Google Scholar]
14. SupranataY.E., Kalinski, M.E. and YeQ.
    [2007] Improving the uniqueness of surface wave inversion using multiple-mode dispersion data. International Journal of Geomechanics, 7, 333–43.
    [Google Scholar]
15. ThomsonW.T.
    [1950] Transmission of elastic waves through a stratified solid medium. Journal of Applied Physics, 21, 89–93.
    [Google Scholar]
16. XiaJ., Miller, R.D. and ParkC.B.
    [1999] Estimation of near-surface shear-wave velocity by inversion of Rayleigh waves. Geophysics, 64, 691–700.
    [Google Scholar]
17. ZhangS.X., Chan, L.S., Chen, C.Y., Dai, F.C., Shen, X.K. and ZhongH.
    [2003] Apparent phase velocities and fundamental-mode phase velocities of Rayleigh waves. Soil Dynamics and Earthquake Engineering, 23, 563–928.
    [Google Scholar]