连拱隧道沉降预测的正交多项式拟合方法

Prediction of settlement of multi-arch tunnel using orthogonal polynomial method

提出了描述连拱隧道沉降量S和施工时间t函数关系的正交多项式拟合方法.基于数值逼近原理,并根据现场量测数据,构造正交函数族{Pn(x)}并确定其权值ω(xi),求解得到S-t函数关系式.随着新观测数据的不断加入,及时修改预测模型参数值,达到实时预测之目的.研究结果表明,通过构造正交多项式来预测隧道的沉降,数值计算更加稳定,预测结果比较准确,在实际应用中方便可行.

t function. The normal family { Pn （x） } and ω （xi） can be constructed on the basis of the measured data, then S-t function is educed by using orthogonal polynomial. With the addition of new settlement data, the model parameters are continuously modified. The result shows that the numerical computation has good stability, and the result is reliable, which proves that the method is convenient and correct.