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@ARTICLE{Suciu:62963,
      author       = {Suciu, N. and Vamos, C. and Vereecken, H. and Sabelfeld, K.
                      and Knabner, P.},
      title        = {{M}emory effects induced by dependence on initial
                      conditions and ergodicity of transport in heterogenous
                      media},
      journal      = {Water resources research},
      volume       = {44},
      issn         = {0043-1397},
      address      = {Washington, DC},
      publisher    = {AGU},
      reportid     = {PreJuSER-62963},
      pages        = {W08501},
      year         = {2008},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {For transport in statistically homogeneous random velocity
                      fields with properties that are routinely assumed in
                      stochastic groundwater models, the one-particle dispersion
                      (i.e., second central moment of the ensemble average
                      concentration for a point source) is a "memory-free''
                      quantity independent of initial conditions. Nonergodic
                      behavior of large initial plumes, as manifest in deviations
                      of actual solute dispersion from one-particle dispersion, is
                      associated with a "memory term'' consisting of correlations
                      between initial positions and displacements of solute
                      molecules. Reliable numerical experiments show that
                      increasing the source dimensions has two opposite effects:
                      it reduces the uncertainty related to the randomness of
                      center of mass, but, at the same time, it yields large
                      memory terms. The memory effects increase with the source
                      dimension and depend on its shape and orientation. Large
                      narrow sources oriented transverse to the mean flow
                      direction yield ergodic behavior with respect to the
                      one-particle dispersion of the longitudinal dispersion and
                      nonergodic behavior of the transverse dispersion, whereas
                      for large longitudinal sources, the longitudinal dispersion
                      behaves nonergodically, and the transverse dispersion
                      behaves ergodically. Such memory effects are significantly
                      large over hundreds of heterogeneity scales and should
                      therefore be considered in practical applications, for
                      instance, calibration of model parameters, forecasting, and
                      identification of the contaminant source.},
      keywords     = {J (WoSType)},
      cin          = {ICG-4 / JARA-ENERGY / JARA-SIM},
      ddc          = {550},
      cid          = {I:(DE-Juel1)VDB793 / $I:(DE-82)080011_20140620$ /
                      I:(DE-Juel1)VDB1045},
      pnm          = {Terrestrische Umwelt},
      pid          = {G:(DE-Juel1)FUEK407},
      shelfmark    = {Environmental Sciences / Limnology / Water Resources},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000258344200005},
      doi          = {10.1029/2007WR006740},
      url          = {https://juser.fz-juelich.de/record/62963},
}