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Nonlinear output constraints handling for production optimization of oil reservoirs

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Abstract

Adjoint-based gradient computations for oil reservoirs have been increasingly used in closed-loop reservoir management optimizations. Most constraints in the optimizations are for the control input, which may either be bound constraints or equality constraints. This paper addresses output constraints for both state and control variables. We propose to use a (interior) barrier function approach, where the output constraints are added as a barrier term to the objective function. As we assume there always exist feasible initial control inputs, the method maintains the feasibility of the constraints. Three case examples are presented. The results show that the proposed method is able to preserve the computational efficiency of the adjoint methods.

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Authors and Affiliations

  1. Department of Engineering Cybernetics, Norwegian University Science and Technology (NTNU), 7491, Trondheim, Norway

    Eka Suwartadi & Bjarne Foss

  2. Department of Applied Mathematics, SINTEF ICT, Blindern, Oslo, Norway

    Stein Krogstad

Authors
  1. Eka Suwartadi
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  2. Stein Krogstad
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  3. Bjarne Foss
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Correspondence to Eka Suwartadi.

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Suwartadi, E., Krogstad, S. & Foss, B. Nonlinear output constraints handling for production optimization of oil reservoirs. Comput Geosci 16, 499–517 (2012). https://doi.org/10.1007/s10596-011-9253-3

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