Controllability and observability in two-phase porous media flow

J. Doren, van, P.M.J. Hof, Van den, O.H. Bosgra, J.D. Jansen

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)

Abstract

Reservoir simulation models are frequently used to make decisions on well locations, recovery optimization strategies, etc. The success of these applications is, among other aspects, determined by the controllability and observability properties of the reservoir model. In this paper, it is shown how the controllability and observability of two-phase flow reservoir models can be analyzed and quantified with aid of generalized empirical Gramians. The empirical controllability Gramian can be interpreted as a spatial covariance of the states (pressures or saturations) in the reservoir resulting from input perturbations in the wells. The empirical observability Gramian can be interpreted as a spatial covariance of the measured bottom-hole pressures or well bore flow rates resulting from state perturbations. Based on examples in the form of simple homogeneous and heterogeneous reservoir models, we conclude that the position of the wells and of the front between reservoir fluids, and to a lesser extent the position and shape of permeability heterogeneities that impact the front, are the most important factors that determine the local controllability and observability properties of the reservoir.
Original languageEnglish
Pages (from-to)773-788
Number of pages16
JournalComputational Geosciences
Volume17
Issue number5
DOIs
Publication statusPublished - 2013

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