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用边界元法(BEM)求解区域性阴极保护的数学模型,以往采用矩形单元离散,步骤比较复杂,工作量大。当被保护体的几何形状适宜进行柱面单元划分且同一柱面单元截口线上的电位可视为近似相同时,采用柱面单元离散,可减少模型中节点的数量,缩短计算周期。利用可变误差多面体寻忧时,以往对阴极极化曲线的拟合过于简单,寻优的平稳性较差。对阴极极化曲线进行分段线性拟合,可使寻优过程更加平稳。按上述方法编制的程序BEMU已用于油井套管外加电流阴极保护系统的工程设计。
The boundary element method (BEM) is used to solve the mathematical model of regional cathodic protection. In the past, the discrete rectangular elements were used. The steps were complicated and the workload was heavy. When the geometry of the body to be protected is suitable for the division of cylinder units and the potentials on the lines of the same cylinder unit are considered to be approximately the same, the discrete cylindrical elements can reduce the number of nodes in the model and shorten the calculation cycle. The use of variable error polyhedron to find worries, the previous fitting of the cathode polarization curve is too simple, poor optimization of the smoothness. Piecewise linear fitting of the cathodic polarization curve can make the optimization process more stable. The program BEMU programmed as described above has been used in the engineering design of well casing current cathodic protection systems.