A Direct Method for the Identification of the Permeability Field Based on Flux Assimilation by a Discrete Analog of Darcy’s Law
| Autor: | Wouter Zijl |
|---|---|
| Přispěvatelé: | Nederlands Instituut voor Toegepaste Geowetenschappen TNO |
| Rok vydání: | 2004 |
| Předmět: |
Discretization
General Chemical Engineering Flux Inverse Pressure effects Catalysis Inverse models Calculus Applied mathematics Porous materials Boundary value problem Edge-based vector potentials Discrete Darcy's law Mathematics Flux density Hydrogeology Darcy's law Direct method Darcy law Mechanical permeability porous medium Vectors Inverse modeling Permeability (earth sciences) Flux assimilation permeability Geosciences Flux assimilation method |
| Zdroj: | Transport in Porous Media, 1, 56, 87-112 |
| ISSN: | 0169-3913 |
| DOI: | 10.1023/b:tipm.0000018405.22085.99 |
| Popis: | Inverse models to determine the permeability are generally based on existing forward models for the pressure. The permeabilities are adapted in such a way that the calculated pressures match the specified pressures in a number of points. To assimilate a priori knowledge about the flux, we introduce the 'flux assimilation method', which is based on the 'vector potential-pressure formulation' of Darcy's law. Thanks to an unconventional discretization technique - the 'edge-based face element method' - not only the specified pressures, but also specified information about the flux density can easily be assimilated. A relatively simple, but insightful analytical example illustrates the potential of this method. © 2004 Kluwer Academic Publishers. |
| Databáze: | OpenAIRE |
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