井组连续气举系统优化配气的二次规划

Optimization for a Continuous Gas Lift System with Quadratic Programming

对各井连续气举动态曲线用一元二次函数拟合，然后采用二次规划处理井组（单元）连续气举系统注气量的最优分配．根据实际情况对各井注气量的取值予以限制，并按不等式约束条件下的非线性最优化理论的库恩一图克条件，得到其等效问题。再用迭代法求解等效问题，继而得到原问题的最优化解。与常规方法相比，该方法计算简便，精度高。

The performance curves of continuous gas lift wells can be fit with one- dimensional binomial. The optimum allocations of inject gas rate for a continuous gas liftsystem are treated with quadratic programming. According to the concrete condition ofwells, the inject gas rate are constrained. Using Kuhn - Tucker theorem of non - linearoptimization under ineguality constraint, the equivalent problem is obtained. Solving theequivalent problem, the optimum gas allocation is obtained. The results show that theproposed method is more simple and has higher accuracy.