Handling risk of uncertainty in model-based production optimization: a robust hierarchical approach

Model-based economic optimization of oil production suffers from high levels of uncertainty. The limited knowledge of reservoir model parameters and varying economic conditions are the main contributors of uncertainty. The negative impact of these uncertainties on production strategy increases and becomes profound with time. In this work, a multi-objective optimization problem is formulated which considers both economic and model uncertainties and aims to mitigate the negative effects i.e., risk of these uncertainties on the production strategy. The improved robustness is achieved without heavily compromising the primary objective of economic life-cycle performance. An ensemble of varying oil price scenarios and geological model realizations are used to characterize the economic and geological uncertainty space respectively. The primary objective is an average NPV over these ensembles. As the risk of uncertainty increases with time, the secondary objective is aimed at maximizing the speed of oil production to mitigate risk. This multi-objective optimization is implemented separately with both forms of uncertainty in a hierarchical or lexicographic way.

[1]  Jan Dirk Jansen,et al.  Dynamic Optimization of Waterflooding With Smart Wells Using Optimal Control Theory , 2004 .

[2]  Gijs van Essen,et al.  Hierarchical Economic Optimization of Oil Production from Petroleum Reservoirs , 2009 .

[3]  Arnold Heemink,et al.  Model-based optimization and control of subsurface flow in oil reservoirs , 2013, Proceedings of the 32nd Chinese Control Conference.

[4]  Jan Dirk Jansen,et al.  Adjoint-based optimization of multi-phase flow through porous media – A review , 2011 .

[5]  Yacov Y. Haimes,et al.  Hierarchical multiobjective analysis for large-scale systems: Review and current status , 1988, Autom..

[6]  R. Tyrrell Rockafellar,et al.  Coherent Approaches to Risk in Optimization Under Uncertainty , 2007 .

[7]  van den Pmj Paul Hof,et al.  The egg model – a geological ensemble for reservoir simulation , 2014 .

[8]  John Bagterp Jørgensen,et al.  Nonlinear Model Predictive Control for Oil Reservoirs Management , 2013 .

[9]  Paul M.J. Van den Hof,et al.  Model and Economic Uncertainties in Balancing Short-Term and Long-Term Objectives in Water-Flooding Optimization , 2015, ANSS 2015.

[10]  Paul M.J. Van den Hof,et al.  Model-based control of multiphase flow in subsurface oil reservoirs , 2008 .

[11]  Gijs van Essen,et al.  Robust Waterflooding Optimization of Multiple Geological Scenarios , 2009 .

[12]  Stein Krogstad,et al.  Open-source MATLAB implementation of consistent discretisations on complex grids , 2012, Computational Geosciences.

[13]  J. Jansen,et al.  Robust ensemble-based multi-objective optimization , 2014 .