Adaptive Multiscale Permeability Estimation |
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Authors: | Alv-Arne Grimstad Trond Mannseth Geir Nævdal Hege Urkedal |
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Institution: | (1) RF-Rogaland Research, Thormøhlensgt. 55, N-5008 Bergen, Norway |
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Abstract: | With multiscale permeability estimation one does not select parameterization prior to the estimation. Instead, one performs a hierarchical search for the right parameterization while solving a sequence of estimation problems with an increasing parameterization dimension. In some previous works on the subject, the same refinement is applied all over the porous medium. This may lead to over-parameterization, and subsequently, to unrealistic permeability estimates and excessive computational work. With adaptive multiscale permeability estimation, the new parameterization at an arbitrary stage in the estimation sequence is such that new degrees of freedom are not necessarily introduced all over the porous medium. The aim is to introduce new degrees of freedom only where it is warranted by the data. In this paper, we introduce a novel adaptive multiscale estimation. The approach is used to estimate absolute permeability from two-phase pressure data in several numerical examples. |
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Keywords: | adaptive parameterization inverse problem porous medium regularization |
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