Upscaling models of solute transport in porous media through genetic programming
Created by W.Langdon from
gp-bibliography.bib Revision:1.8098
- @Article{Hill:2007:JH,
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author = "David J. Hill and Barbara S. Minsker and
Albert J. Valocchi and Vladan Babovic and Maarten Keijzer",
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title = "Upscaling models of solute transport in porous media
through genetic programming",
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journal = "Journal of Hydroinformatics",
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year = "2007",
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volume = "9",
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number = "4",
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pages = "251--266",
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publisher = "IWA Publishing",
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keywords = "genetic algorithms, genetic programming, data-driven
modeling, knowledge discovery, solute transport",
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ISSN = "1464-7141",
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URL = "http://www.iwaponline.com/jh/009/0251/0090251.pdf",
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DOI = "doi:10.2166/hydro.2007.028",
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size = "16 pages",
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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.",
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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