NDLI: A level-set corrector to an adaptive multiscale permeability prediction

Content Provider	Springer Nature Link
Author	Berre, Inga Lien, Martha Mannseth, Trond
Copyright Year	2007
Abstract	We consider the inverse problem of permeability estimation for two-phase porous-media flow. The novel approach is based on regularization by zonation, where the geometry and size of the regions are chosen adaptively during the optimization procedure. To achieve this, we have utilized level-set functions to represent the permeability. The available data are sparsely distributed in space; hence, it is reasonable to confine the estimation to coarse-scale structures. The level-set approach is able to alter the boundaries between regions of different permeability without strict restrictions on their shape; however, when the data are sparse, a reasonable initial guess for the permeability is required. For this task, we use adaptive multiscale permeability estimation, which has the potential of identifying main permeability variations. These are described by a piecewise constant function, where the constant values are attained on rectangular zones. In the current work, we develop a level-set corrector strategy, assuming adaptive multiscale permeability estimation as a predictor.
Starting Page	27
Ending Page	42
Page Count	16
File Format	PDF
ISSN	14200597
Journal	Computational Geosciences
Volume Number	11
Issue Number	1
e-ISSN	15731499
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2007-01-31
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	adaptive multiscale estimation inverse problem level-set representation permeability estimation regularization two-phase flow Soil Science & Conservation Hydrogeology Geotechnical Engineering Mathematical Modeling and Industrial Mathematics
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

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