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@ARTICLE{Vanderborght:52128,
      author       = {Vanderborght, J. and Kasteel, R. and Vereecken, H.},
      title        = {{S}tochastic {C}ontinuum {T}ransport {E}quations for
                      {F}ield-{S}cale {S}olute {T}ransport: {O}verview of
                      {T}heoretical and {E}xperimental {R}esults},
      journal      = {Vadose zone journal},
      volume       = {5},
      issn         = {1539-1663},
      address      = {Madison, Wis.},
      publisher    = {SSSA},
      reportid     = {PreJuSER-52128},
      pages        = {184 - 203},
      year         = {2006},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {One-dimensional transport models that predict field-scale
                      averaged solute fluxes are often used to estimate the risk
                      of nonpoint source groundwater contamination by widespread
                      surface-applied chemicals. However, within-field variability
                      of soil hydraulic properties leads to lateral variation in
                      local solute fluxes. When this smaller scale variability is
                      characterized in a geostatistical sense, stochastic
                      three-dimensional flow and transport equations can be used
                      to predict field-scale averaged transport in terms of
                      geostatistical parameters. We discuss the use of stochastic
                      equations for the parameterization of equivalent
                      one-dimensional models predicting averaged solute fluxes.
                      First, we consider the equivalent one-dimensional convection
                      dispersion model and the equivalent dispersivity, which
                      characterizes the spreading of laterally averaged
                      concentrations or solute fluxes. Second, we discuss the
                      parameterization of a stream tube model to predict local
                      transport variables (i.e., distributions of local
                      concentrations and local arrival times) These local
                      transport variables are shown to be important for predicting
                      nonlinear local transport processes and useful for inversely
                      inferring the spatial structure of soil properties.
                      Stochastic flow and transport equations reveal a dependency
                      of equivalent model parameters on transport distance and
                      flow rate, which reflects the importance of smaller scale
                      heterogeneities on field-scale transport. Approximate
                      solutions of stochastic flow and transport equations are
                      obtained for steady-state and uniform flow. The effect of
                      transient flow conditions on transport is discussed.
                      Throughout the paper we refer to experimental and numerical
                      data that confirm or contradict results from stochastic flow
                      and transport equations.},
      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 / Soil Science / Water Resources},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000237124500018},
      doi          = {10.2136/vzj2005.0024},
      url          = {https://juser.fz-juelich.de/record/52128},
}