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。
It is a quite complicated and heavy work to calculate potential distribution in a regional cathodic protection system with boundary element method (BEM). The node numbers of the model for calculation can be reduced and computer operation time can be shortened by using cylindrical element discreting method, if the geometric shape of the object to be protected is suitable for partitioning into cylindrical elements and the potentials on cross-section periphery are approximately equal. In previous work, the variable error polyhedron method was used to optimize the model. Since the fitting of the cathodic polarization curve was simplistic, the stability of the optimization was poor. In this paper, the piecewise linear fitting is applied, thus the stability of the optimizing process is improved. This improved calculation method has been used for the cathodic protection design of some oil well cases.
参考文献
| [1] | 梁旭巍.区域性阴极保护计算机辅助优化设计研究[硕士学位论文],天津:天津纺织工学院,1993 |
| [2] | 庄新国.区域性阴极保护优化设计方法的研究[硕士学位论文],天津:天津大学研究生院,1994 |
| [3] | 孟宪级,庄新国,梁旭巍.天津大学学报,1996第29卷,增刊:130～136 |
| [4] | Wrobel L C, Brebbia C A. Axisymmetric Potential Problems, In Rencent Advances in BEM, London, England: Computational Mechanics Publications 1980. 77-89 |
| [5] | Brebbia C A. The Boundary Element Method for Engineering, London: Pentech Press, 1978g |
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