Upscaling models of solute transport in porous media through genetic programming

Created by W.Langdon from gp-bibliography.bib Revision:1.4202

  author =       "David J. Hill and Barbara S. Minsker and 
                 Albert J. Valocchi and Vladan Babovic and Maarten Keijzer",
  title =        "Upscaling models of solute transport in porous media
                 through genetic programming",
  journal =      "Journal of Hydroinformatics",
  year =         "2007",
  volume =       "9",
  number =       "4",
  pages =        "251--266",
  publisher =    "IWA Publishing",
  keywords =     "genetic algorithms, genetic programming, data-driven
                 modeling, knowledge discovery, solute transport",
  ISSN =         "1464-7141",
  URL =          "",
  DOI =          "doi:10.2166/hydro.2007.028",
  size =         "16 pages",
  abstract =     "Due to the considerable computational demands of
                 modeling solute transport in heterogeneous porous
                 media, there is a need for upscaled models that do not
                 require explicit resolution of the small-scale
                 heterogeneity. This study investigates the development
                 of upscaled solute transport models using genetic
                 programming (GP), a domain-independent modelling tool
                 that searches the space of mathematical equations for
                 one or more equations that describe a set of training
                 data. An upscaling methodology is developed that
                 facilitates both the GP search and the implementation
                 of the resulting models. A case study is performed that
                 demonstrates this methodology by developing vertically
                 averaged equations of solute transport in perfectly
                 stratified aquifers. The solute flux models developed
                 for the case study were analysed for parsimony and
                 physical meaning, resulting in an up scaled model of
                 the enhanced spreading of the solute plume, due to
                 aquifer heterogeneity, as a process that changes from
                 predominantly advective to Fickian. This case study not
                 only demonstrates the use and efficacy of GP as a tool
                 for developing upscaled solute transport models, but it
                 also provides insight into how to approach more
                 realistic multi-dimensional problems with this
  notes =        "Synthetic aquifers, ALP, p264 'GP.. produce
                 mathematical models that researchers can understand.'",

Genetic Programming entries for David Hill Barbara S Minsker Albert J Valocchi Vladan Babovic Maarten Keijzer