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@ARTICLE{Suciu:53453,
      author       = {Suciu, N. and Vamos, C. and Vanderborght, J. and Hardelauf,
                      H. and Vereecken, H.},
      title        = {{N}umerical {I}nvestigations on {E}rgodicity of {S}olute
                      {T}ransport in {H}eterogeneous {A}quifers},
      journal      = {Water resources research},
      volume       = {42},
      issn         = {0043-1397},
      address      = {Washington, DC},
      publisher    = {AGU},
      reportid     = {PreJuSER-53453},
      pages        = {W04409},
      year         = {2006},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {Darcy velocities for lognormal hydraulic conductivity with
                      small variance and finite correlation length were
                      approximated by periodic random fields. Accurate simulations
                      of two-dimensional advection-dispersion processes were
                      achieved with the global random walk algorithm, using 10(10)
                      particles in every transport realization. Reliable
                      statistical estimations were obtained by averaging over 256
                      realizations. The main result is a numerical evidence for
                      the mean square convergence of the actual concentrations to
                      the macrodispersion process predicted by a known limit
                      theorem. For small initial plumes the ergodic behavior can
                      be expected after thousands of advection timescales, when
                      the deviation from the theoretical prediction of the
                      cross-section space-averaged concentration monotonously
                      decays and falls under $20\%.$ The increase of the
                      transverse dimension of the initial plume slows down the
                      approach to the quasi-ergodic state and has a nonlinear
                      effect on the variability of the actual concentrations and
                      dispersivities.},
      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:000237314000002},
      doi          = {10.1029/2005WR004546},
      url          = {https://juser.fz-juelich.de/record/53453},
}