Abstract: The fractal interpolation method based on affine transformation is a kind of method of fractal interpolation function by iterative function system (IFS). Through the derivation, the fractal interpolation function model was introduced. And a GM(1,1) model was established to predict oil and gas pipeline corrosion. Prediction accuracy and case analysis show that the result accords with the ideal. It indicates that when the original data is missing, grey prediction can still be used; it has certain practical value to take corresponding measures to provide reliable basis for preventing corrosion.

Key words: Fractal interpolation , Grey forecast , Oil gas pipeline , Corrosion

摘要： 基于仿射变换型的分形插值方法是由迭代函数系统(IFS)实现分形插值函数的一种方法。通过推导
引入分形插值函数模型,与不等时距GM(1,1)模型相结合,建立了等时距GM(1,1)模型,对油气管道腐蚀进行预
测,实例分析和精度检验结果表明,结果比较理想。这说明在原始数据列有缺失时,仍可进行灰色预测,其具有一定
的实用价值,为采取相应防腐措施提供可靠的依据。

关键词: 分形插值 , 灰色预测 , 油气管道 , 腐蚀