Upscaling models of solute transport in porous media through genetic programming

Created by W.Langdon from gp-bibliography.bib Revision:1.8010

@Article{Hill:2007:JH,

• 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 = "http://www.iwaponline.com/jh/009/0251/0090251.pdf",
• 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 methodology.",
• 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

Citations