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@ARTICLE{Englert:52903,
      author       = {Englert, A. and Vanderborght, J. and Vereecken, H.},
      title        = {{P}rediction of velocity statistics in three-dimensional
                      multi-{G}aussian hydraulic conductivity fields},
      journal      = {Water resources research},
      volume       = {42},
      issn         = {0043-1397},
      address      = {Washington, DC},
      publisher    = {AGU},
      reportid     = {PreJuSER-52903},
      pages        = {W03418},
      year         = {2006},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {To study statistics of velocity fields in three-dimensional
                      heterogeneous multi-Gaussian saturated hydraulic
                      conductivity fields and the accuracy of their prediction, we
                      performed high-resolution Monte Carlo ( MC) analyses. The MC
                      analyses included variances of the log hydraulic
                      conductivity in the range of 0.5 <= sigma(2)(Y) <= 3.0 and
                      anisotropy ratios in the range of 0.017 <= e <= 1. The
                      statistics of the velocity fields from the MC analyses are
                      compared with analytical solutions of the first- and
                      second-order approximations of the stochastic flow equation.
                      This paper shows that the second-order approximations fit
                      significantly better to the univariate statistics of the
                      Darcy velocity from the MC analyses. For isotropic cases the
                      second-order approximations correspond fairly well to the
                      univariate statistics of the velocity. For anisotropic cases
                      the accordance is given only for the mean velocity and the
                      variance of the transverse vertical component of the
                      velocity. The MC analyses show that the spatial correlation
                      of the velocity decreases more rapidly with increasing
                      sigma(2)(Y). This was more pronounced for the anisotropic
                      than for the isotropic case. The negative correlations, in
                      absolute terms, of the transverse velocity components
                      simultaneously decrease with increasing sigma(2)(Y). This is
                      in contrast to the first- order approximation of the spatial
                      correlations of the velocity. It is assumed that the
                      discrepancies between approximate solutions of the
                      stochastic flow equation and the results of the MC analyses
                      are strongly dependent on the nonnormality of the
                      probability density distributions of the velocity.},
      keywords     = {J (WoSType)},
      cin          = {ICG-IV / JARA-ENERGY},
      ddc          = {550},
      cid          = {I:(DE-Juel1)VDB50 / $I:(DE-82)080011_20140620$},
      pnm          = {Terrestrische Umwelt},
      pid          = {G:(DE-Juel1)FUEK407},
      shelfmark    = {Environmental Sciences / Limnology / Water Resources},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000236349200002},
      doi          = {10.1029/2005WR004014},
      url          = {https://juser.fz-juelich.de/record/52903},
}