Dynamic Optimization of a Polymer Flooding Process Based on Implicit Discrete Maximum Principle

Yang, Lei; Li, Shurong; Zhang, Xiaodong; Zhang, Qiang; Guo, Lanlei

doi:10.1155/2012/281567

Cited by 1 publication

(1 citation statement)

References 14 publications

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“…, Ramirez (1984, 1987), Ramirez (1987), Mehos and Ramirez (1989), Liu et al (1993), and Liu and Ramirez (1994). Applications to waterflood optimization followed soon and are continuing today (see Jansen (2011) for a recent overview), but EOR applications seem to have come to a standstill although some recent new papers indicate a possible revival; see Van Doren et al (2011) and Lei et al (2012) on polymer flooding, and Kourounis et al (2013) on miscible gas injection.…”

Section: Optimal Control Theorymentioning

confidence: 99%

Challenges in adjoint-based optimization of a foam EOR process

Zanganeh¹,

Kraaijevanger

Buurman

et al. 2014

Comput Geosci

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We apply adjoint-based optimization to a Surfactant-Alternating-Gas foam process using a linear foam model introducing gradual changes in gas mobility and a nonlinear foam model giving abrupt changes in gas mobility as function of oil and water saturations and surfactant concentration. For the linear foam model, the objective function is a relatively smooth function of the switching time. For the nonlinear foam model, the objective function exhibits many small-scale fluctuations. As a result, a gradient-based optimization routine could have difficulty finding the optimal switching time. For the nonlinear foam model, extremely small time steps were required in the forward integration to converge to an accurate solution to the semi-discrete (discretized in space, continuous in time) problem. The semi-discrete solution still had strong oscillations in gridblock properties associated with the steep front moving through the reservoir. In addition, an extraordinarily tight tolerance was required in the backward integration to obtain accurate adjoints. We believe the small-scale oscillations in the objective function result from the large oscillations in gridblock properties associated with the front moving through the reservoir. Other EOR processes, including surfactant EOR and near-miscible flooding, have similar sharp changes, and may present similar challenges to gradient-based optimization.The final publication is available at www.springerlink.com. Namdar Zanganeh, M., Kraaijevanger, J.F.B.M., Buurman, H.W., Jansen, J.D., Rossen, W.R., 2014: Challenges to adjoint-based optimization of a foam EOR process.

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