% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Tillmann:49051,
      author       = {Tillmann, A.},
      title        = {{A}n unsupervised wavelet transform method for simultaneous
                      inversion of multimode surface waves},
      journal      = {Journal of environmental $\&$ engineering geophysics},
      volume       = {10},
      issn         = {1083-1363},
      address      = {Alxandria, Va.},
      publisher    = {GeoScienceWorld},
      reportid     = {PreJuSER-49051},
      pages        = {287 - 294},
      year         = {2005},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {Dispersive surface waves are sensitive to the geometry of
                      layered structures and the compressional and shear wave
                      velocities within each layer. Therefore they can be used to
                      estimate the structure and lithology of shallow soils. It is
                      common practice to use the low frequency fundamental mode
                      for inversion; thus, it is necessary to separate the single
                      modes contained in the data interactively, which is time
                      consuming and a source of error.The fast algorithm presented
                      in this paper interprets all excited modes of a surface wave
                      simultaneously and avoids the need to identify individual
                      mode-numbers. The inversion is based on the group travel
                      time of a Rayleigh wave, estimated from a single seismic
                      trace by application of the Continuous Wavelet Transform
                      (CWT). The resulting CWT distribution is fitted by a
                      composition of wavelets determined from theoretical
                      group-velocity dispersion relations of possible models, in
                      connection with appropriate boundary conditions.A
                      feasibility test on a synthetic dispersion dataset with
                      dominant higher modes shows that the systematic inversion
                      error associated with a fundamental-mode assumption does not
                      arise, and both layer thicknesses and elastic properties can
                      converge rapidly to the true values. However, two possible
                      problems with the proposed method are the imperfect
                      reconstruction (in this case especially at low frequencies),
                      owing to the limited number of wavelets and theoretical
                      modal dispersion curves used for approximation, and possible
                      convergence to local minima, due to the increased
                      nonlinearity of the misfit function.},
      keywords     = {J (WoSType)},
      cin          = {ICG-IV},
      ddc          = {550},
      cid          = {I:(DE-Juel1)VDB50},
      pnm          = {Chemie und Dynamik der Geo-Biosphäre},
      pid          = {G:(DE-Juel1)FUEK257},
      shelfmark    = {Geochemistry $\&$ Geophysics / Engineering, Geological},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000232266300006},
      doi          = {10.2113/JEEG10.3.287},
      url          = {https://juser.fz-juelich.de/record/49051},
}