基于最优控制理论的智能井动态优化技术

Dynamic optimization techniques of smart wells using optimal control theory

为了最大化油藏价值,以油藏开发周期的净现值最大化为优化目标,建立了智能井生产优化最优控制问题的数学模型;应用最优控制理论中的伴随法计算优化算法所需的梯度值,并结合序列二次规划法,获得最优的生产方案。研究结果表明,与无控制的生产方案相比,优化后的生产方案可使累积产油量增加22.2%,累积产水量下降33.6%,净现值增加了33.2%。

To fully exploit the possibilities of the reservoir,we used net present value （NPV） as the objective function,and established a mathematical model of smart well production optimization,then obtained the optimal control strategy based on sequeneial quodratic programming（SQP）. We used adjoint method to calculate the gradients,which were needed for the optimization algorithms. Simula- tions showed that at the end of the production period cumulative oil production is about 22.2% higher than in the reference case, and reduction in cumulative water production is 33.6% ,resulted in an incease of 33.2% in NPV.