样条函数插值在隧道施工监控 位移分析中的应用

利用隧道施工中少数几个控制点的实际位移量测值，通过样条函数插值，寻求一逼近函数来代替隧道洞室周边的实际变形函数，以逼近函数值代替在隧道周边的大量实测，从而解决隧道稳定性分析及地层参数反分析中需要较多的实测值问题。通过现行各类围岩铁路隧道支护结构的标准设计，对位移样条插值方法的精度进行了检验，表明完全可满足隧道施工及分析的需要。本文还提出了随机位移样条插值Ｍｏｎｔｅ－Ｃａｒｌｏ随机模拟方法。

APPLICATION OF SPLINE INTERPOLATION FUNCTION ON ANALYSIS OF DISPLACEMENT MEASURED IN TUNNEL

The spline interpolation function is calculated from the field measured displacements at key lining points and is used to replace the real displacement function of lining approximately. With the interpolated displacements of lining points, the necessary number of field measurement data can be provided for back analysis and stability analysis. The accuracy of the interpolation method for measured lining displacement is analysed with the existing standard for lining design of railway tunnel in several kinds of rock. The Monte carlo random simulation is also introduced in this paper for the interpolation of random measured data.