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| Titel |
An Eulerian joint velocity-concentration PDF method for reactive transport in highly heterogeneous porous media |
| VerfasserIn |
Daniel W. Meyer, Hamdi A. Tchelepi, Patrick Jenny |
| Konferenz |
EGU General Assembly 2011
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 13 (2011) |
| Datensatznummer |
250048400
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| Zusammenfassung |
| In risk analysis applications involving heterogeneous formations, the knowledge of the
concentration probability density function (PDF) at different spatial locations and times is
crucial. A new joint velocity-concentration PDF method is proposed that is applicable for
highly heterogeneous porous media. It accounts for advective transport, pore-scale
dispersion, molecular diffusion, and chemical reactions. The corresponding PDF
transport equation is solved numerically using an efficient particle-based approach.
Similar methods are successfully applied for the simulation of turbulent flows mainly
because the reactive source term in the PDF transport equation appears in closed form.
Mixing at the pore-scale, however, needs to be modeled. Standard mixing models
applied in PDF methods for turbulent flows, like the interaction by exchange with the
mean (IEM) model, however, perform poorly. An alternative model better suited
for applications involving highly heterogeneous porous media is formulated. The
resulting joint PDF method is validated successfully by comparison with reactive (fast
bimolecular reaction) and non-reactive Monte Carlo simulations for ÏăY 2 up to 4
and Péclet numbers ranging from 100 to 10000. Reference data was provided by
Cirpka, and Caroni and Fiorotto for the reactive and non-reactive cases, respectively. |
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