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@ARTICLE{Vereecken:462,
      author       = {Vereecken, H. and Jaekel, U. and Schwarze, H.},
      title        = {{A}nalysis of the long-term behavior of solute transport
                      with nonlinear equilibrium sorption using breakthrough
                      curves and temporal moments},
      journal      = {Journal of contaminant hydrology},
      volume       = {56},
      issn         = {0169-7722},
      address      = {Amsterdam [u.a.]},
      publisher    = {Elsevier Science},
      reportid     = {PreJuSER-462},
      year         = {2002},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {We analyzed the long-term behavior of breakthrough curves
                      (BTCs) and temporal moments of a solute subjected to
                      Freundlich equilibrium sorption (s=kc(n)). For
                      one-dimensional transport in a homogeneous porous medium, we
                      derived a power-law relation between travel time, tau, and
                      solute displacement,., with the exponent being equal to the
                      Freundlich n exponent. The mean solute velocity, derived
                      from the first time moment, was found to change as tau(n-1).
                      For n values larger than 0.66, the second time moment could
                      be related to c (x) over bar (2/n), where c is a constant.
                      An approach based on the use of a critical concentration was
                      developed to estimate the presence of the asymptotic regime
                      in the tail of the BTC. This approach was tested
                      successfully using numerical case studies. One-dimensional
                      numerical simulations with varying values of k, n and
                      initial mass were run to verify the closed form analytical
                      expressions for the large time behavior of temporal moments
                      and the tailing pail of breakthrough Curves. Good agreement
                      between the slope of the tailing part of log-log transformed
                      BTCs and the predicted slope using asymptotic theory was
                      found. Asymptotic theory in general underestimated the
                      magnitude of the concentration in the tail. The quality of
                      the estimated concentrations in the tail improved for small
                      values of the dispersivity. Experimental BTCs of uranin and
                      benazolin were analyzed in combination with
                      sorption/desorption batch experiments using asymptotic
                      theory. A good agreement between the value of n parameter
                      derived from desorption experiment with benazolin and the
                      value of the n parameter derived from the tail of the BTC
                      was found. (C) 2002 Elsevier Science B.V. All rights
                      reserved.},
      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    = {Environmental Sciences / Geosciences, Multidisciplinary /
                      Water Resources},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000176075700007},
      doi          = {10.1016/S0169-7722(01)00200-5},
      url          = {https://juser.fz-juelich.de/record/462},
}