大坝安全监测数据的分段多项式滤波方法研究

大坝安全监测效应量的主要特点是周期性、时效性、含有测读误差等。数据序列波的目的是在保留数据序列的周期性、时效性及其它原因量引起的效应分量的前提下，尽可能地削弱测读误差的影响。分段多项式滤波是一种将数据序列按一定时间长度分段，在分段的数据序列上进行多项式拟合，相邻段的多项式之间满足一定条件的最小二乘滤波方法。用此方法还可以进行观测值的可靠性检验和粗差剔除。这种滤波方法特别适合工程运行期的安全监测数据序列的滤波。

Research on sectionalized polynomial filtering of dam safety monitoring data

Duration curves of effect quantities obtained from dam safety monitoring are characterized mainly by their periodicity, ageing and measurement errors, etc. The purpose of filtering of a data sequence is to reduce the influence of measurement errors as possible on condition that the periodicity, ageing, and other effect quantities aroused by causal quantities should be maintained. The sectionalized polynomial filtering is a least square filtering method for fitting polynomials to a data sequence sectionalized by a certain time interval, with polynomials for successive intervals satisfying some conditions. This method can also be used for reliability test of observed values and for cancelling the influence of coarse error data. This filtering method is suitable especially for the filtering of data sequences obtained from safety monitoring of projects in operation.