Print Email Facebook Twitter A direct method for the identification of the permeability field based on flux assimilation by a discrete analog of Darcy's law Title A direct method for the identification of the permeability field based on flux assimilation by a discrete analog of Darcy's law Author Zijl, W. Nederlands Instituut voor Toegepaste Geowetenschappen TNO Publication year 2004 Abstract 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. Subject GeosciencesDiscrete Darcy's lawEdge-based vector potentialsFlux assimilationInverse modelingMechanical permeabilityPressure effectsVectorsFlux assimilation methodFlux densityInverse modelsPorous materialsDarcy lawpermeabilityporous medium To reference this document use: http://resolver.tudelft.nl/uuid:5edf8640-8f4b-4c29-ad44-54d5fa07985c DOI https://doi.org/10.1023/b:tipm.0000018405.22085.99 TNO identifier 237851 ISSN 0169-3913 Source Transport in Porous Media, 56 (1), 87-112 Document type article Files To receive the publication files, please send an e-mail request to TNO Library.