Flow-based dissimilarity measures for reservoir models
a spatial-temporal tensor approach
Edwin Insuasty (Eindhoven University of Technology)
Paul Van den Hof (Eindhoven University of Technology)
Siep Weiland (Eindhoven University of Technology)
Jan Dirk Jansen (TU Delft - Geoscience and Engineering, TU Delft - Civil Engineering & Geosciences)
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Abstract
In reservoir engineering, it is attractive to characterize the difference between reservoir models in metrics that relate to the economic performance of the reservoir as well as to the underlying geological structure. In this paper, we develop a dissimilarity measure that is based on reservoir flow patterns under a particular operational strategy. To this end, a spatial-temporal tensor representation of the reservoir flow patterns is used, while retaining the spatial structure of the flow variables. This allows reduced-order tensor representations of the dominating patterns and simple computation of a flow-induced dissimilarity measure between models. The developed tensor techniques are applied to cluster model realizations in an ensemble, based on similarity of flow characteristics.
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