A Direct Method for the Identification of the Permeability Field Based on Flux Assimilation by a Discrete Analog of Darcy's Law


    loading  Checking for direct PDF access through Ovid

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.

    loading  Loading Related Articles