In oil field development, the optimal location for a new well depends on how it is to be operated. Thus, it is generally suboptimal to treat the well location and well control optimization problems sequentially. Rather, they should be considered as a joint problem. In this work, we present noninvasive, derivative-free, easily-parallelizable procedures to solve this joint optimization problem. Specifically, we consider Particle Swarm Optimization (PSO), a heuristic global stochastic search algorithm, Mesh Adaptive Direct Search (MADS), a local search procedure, and a hybrid PSO-MADS technique that combines the advantages of both methods. Nonlinear constraints are handled through use of filter-based treatments that seek to minimize both the objective function and constraint violation. We also introduce a formulation to determine the optimal number of wells, in addition to their locations and controls, by associating a binary variable (drill/do not drill) with each well. Example cases of varying complexity, which include bound constraints, nonlinear constraints, and the determination of the number of wells, are presented. The PSO-MADS hybrid procedure is shown to consistently outperform both standalone PSO and MADS when solving the joint problem. The joint approach is also observed to provide superior performance relative to a sequential procedure.


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