Laplace-Transform Based Inversion Method for Fractional Dispersion

Partial differential equations with memory are challenging models for mass transport in porous media where fluid and tracer may be stored by the solid matrix, and then released. Moreover, integral transforms (generalizing time moments) of solutions to such models are linked to the corresponding tran...

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Bibliographic Details
Published in:Transport in porous media 2013-05, Vol.98 (1), p.1-14
Main Authors: Ouloin, M., Maryshev, B., Joelson, M., Latrille, C., Néel, M. C.
Format: Article
Language:English
Subjects:
Civil Engineering
Classical and Continuum Physics
Computational fluid dynamics
Dispersions
Earth and Environmental Science
Earth Sciences
Earth, ocean, space
Engineering and environment geology. Geothermics
Environmental Sciences
Exact sciences and technology
Fluid flow
Fluids
Geotechnical Engineering & Applied Earth Sciences
Hydrocarbons
Hydrogeology
Hydrology. Hydrogeology
Hydrology/Water Resources
Industrial Chemistry/Chemical Engineering
Mathematical models
Media
Pollution, environment geology
Sedimentary rocks
Transforms
Transport
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Summary:Partial differential equations with memory are challenging models for mass transport in porous media where fluid and tracer may be stored by the solid matrix, and then released. Moreover, integral transforms (generalizing time moments) of solutions to such models are linked to the corresponding transport parameters. Inverting that link provides a method to determine model parameters on the basis of solutions. It is checked using numerically generated profiles before passing to experimental data.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-012-0104-z