油田区域性阴极保护计算机辅助优化设计研究

Study on the computer assistant optimization design for the regional cathodic protection system

油田区域性外加电流阴极保护系统可视作性定电流场，区域内的电位分布遵守Poisson方程．利用边界元素法求得Poisson方程及其边值条件的数值解，同时利用牛顿法和梯度法相结合的方法求解大型非线性方程组，在系统阳极位置的寻优过程中应用可变误差多面体算法解决了带约束条件的多元非线性隐含目标函数的寻优问题．本文对油田区域性外加电流阴极保护系统计算机辅助优化设计中的数学模型及其求解进行了探索性研究，并得到了实验验证．

The impressed current cathodic protection system for the oil field region canbe considered as a constant current field approximately and the potential distribution inthe region obeys the Polsson Equation. The boundary element method can be used tosolve the Poisson Equation and its boundary conditions. The combine of the Newtonmethod, the gradient method and other methods has been applied into the research. Thestudy has pointed out the mathematical model and the resolution method for the regionalcathodic protection system.