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@INPROCEEDINGS{Miaari:1038333,
      author       = {Miaari, Sami and Kollet, Stefan},
      title        = {{T}emporal scaling laws for wetting and drying in variably
                      saturated soils},
      school       = {Universität Bonn},
      reportid     = {FZJ-2025-01331},
      year         = {2024},
      abstract     = {Natural systems often exhibit properties and temporal
                      scalings of power law type due to their internal dynamics.
                      These scaling laws facilitate a more generalized
                      understanding and description of complex phenomena, offering
                      valuable insights into the fundamental principles governing
                      information transfer in natural systems. This study examines
                      the process of constant vertical infiltration in a
                      homogeneous subsurface with initially hydrostatic conditions
                      and a free water table as a lower boundary condition. The
                      research aims to enhance the understanding of time scales
                      associated with variably saturated subsurface flow due to
                      constant infiltration. In 1969, Philip introduced the
                      characteristic time at which gravitational forces dominate
                      over capillary forces in case of ponded infiltration. This
                      time also helps determine the quasi-steady state of ponded
                      infiltration. We introduce a scaling law that provides
                      insights into quasi-steady state time scales for
                      infiltration and drainage, beyond just ponded infiltration
                      relaxing many of the assumptions in previous studies.
                      Simulations were conducted using the variably saturated
                      groundwater flow model ParFlow. In the simulations, the
                      infiltration rate, water table depths, hydraulic
                      conductivity, and respective soil texture parameters were
                      perturbed systematically. Through dimensional analysis, new
                      scaling relationships of infiltration and drainage time
                      scales have been obtained. One relationship is based on the
                      velocity of the pressure head response required to reach a
                      quasi-steady state, while another is based on dimensionless
                      ratios of the considered variables. The analyses allow us to
                      estimate the order of magnitude of response times toward
                      quasi-steady state conditions depending on the system's
                      hydraulic characteristics and boundary conditions. Future
                      research should expand the obtained results by considering
                      initial conditions with varying moisture levels.},
      month         = {Dec},
      date          = {2024-12-09},
      organization  = {American Geophysical Union 2024,
                       Washington D.C. (USA), 9 Dec 2024 - 13
                       Dec 2024},
      subtyp        = {After Call},
      cin          = {IBG-3},
      cid          = {I:(DE-Juel1)IBG-3-20101118},
      pnm          = {2173 - Agro-biogeosystems: controls, feedbacks and impact
                      (POF4-217) / STARS4Water - Supporting STakeholders for
                      Adaptive, Resilient and Sustainable Water Management
                      (101059372)},
      pid          = {G:(DE-HGF)POF4-2173 / G:(EU-Grant)101059372},
      typ          = {PUB:(DE-HGF)24},
      url          = {https://juser.fz-juelich.de/record/1038333},
}