This work presents a continuous‐time optimization model for planning multiple refracture treatments over the lifespan of a shale gas well. We demonstrate that continuous‐time models can handle multiple restimulations very efficiently, increasing the net present value of the well development and refracturing plan. Well productivity is represented by a piecewise hyperbolic function, which accounts for when and how often the well has been refractured. We illustrate the application and effectiveness of the proposed approach for both the maximization of the total gas recovered and the maximization of the net present value. © 2018 American Institute of Chemical Engineers AIChE J, 64: 1511–1516, 2018

中文翻译：

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页岩气井中多次压裂处理的最佳规划的连续时间公式

这项工作提出了一个连续时间优化模型，用于在页岩气井的整个寿命周期内计划多次压裂处理。我们证明了连续时间模型可以非常有效地处理多个再模拟，从而增加了井开发和压裂计划的净现值。井的生产率由分段双曲线函数表示，该函数解释了井何时以及多长时间进行一次压裂。我们说明了所提出的方法在最大回收气体总量和净现值最大化方面的应用和有效性。©2018美国化学工程师学会AIChE J，64：1511–1516，2018