用混合罚函数法求解气举区块优化配气模型

论述了气举区块优化配气的发展现状,分析了各种类型的气举特性曲线,完善了区块优化配气模型,并建立了与区块优化配气模型形式相同的油田优化配气数学模型.提出了一种求解非线性优化配气数学模型的新方法——内点法和外点法相结合的混合罚函数法,用牛顿-拉斐森方法求解了非线性方程组,并对估计初始注气量的最大配气量法进行了修正.以中原油田四区气举井为例,根据其气举特性曲线类型得出了4种气举配气方案.应用提出的新方法对各种方案进行了优化配气计算,优选出了最佳的配气方案.

Solution of optimum gas allocation model for gas-lift block with sequential unconstrained minimization technique

The optimization history of gas allocation in gas-lift block was decribed.The characteristics of all kinds of gas-lift performance curves were analyzed.The optimum model of gas allocation for development of oilfield was given.A new method named as sequential unconstrained minimization technique combined by the interior-point method and exterior-point method to solve the non-linear optimum mathematic model of gas allocation was proposed.Newton-Raphson method was adopted to solve the nonlinear equations,and the maximum gas allocation method for predicting the initial gas injection rates was modified.Taking Zhongyuan Oilfield forth block as an example,four gas allocation schemes were obtained on the basis of the gas-lift performance curves.The new method was used to calculate the gas allocation of the four schemes.An optimum scheme was presented.