Dimensionless characterization of salt intrusion benchmark scenarios in anisotropic media

The governing equations of salt intrusion scenarios (the Henry benchmark problem in hydrogeology) is discriminately nondimensionalized to derive the dimensionless groups which define the steady state patterns of iso-concentration and iso-stream function lines, assuming that both hydraulic conductivi...

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Bibliographic Details
Published in:Applied mathematics and computation 2014-11, Vol.247, p.1173-1182
Main Authors: Alhama Manteca, I., Alcaraz, M., Trigueros, E., Alhama, F.
Format: Article
Language:English
Subjects:
Balancing
Benchmarking
Computational fluid dynamics
Dimensionless numbers
Discriminated nondimensionalization
Flow and transport
Intrusion
Mathematical analysis
Mathematical models
Porous media
Steady state
Unity
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Summary:The governing equations of salt intrusion scenarios (the Henry benchmark problem in hydrogeology) is discriminately nondimensionalized to derive the dimensionless groups which define the steady state patterns of iso-concentration and iso-stream function lines, assuming that both hydraulic conductivity and permeability are not isotropic. The use of discrimination leads to lowest number of dimensionless groups, which have inherent physical characteristics that those derived from classical procedures do not have. The new discriminated groups have a clear physical meaning in terms of balance between quantities that counteract the problem in the applied domain; in addition, they are of an order of magnitude of unity. Numerical simulations by the network method are presented to discuss the worthiness of Henry’s problem on the basis of these results.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.09.033