Application of Generalized Extended Approximation Method in Monitoring Data Processing of the Foundation Pit
Aiming at the interpolation and prediction problems in pit monitoring data processing,this paper introduced the interpolation model and extrapolation model of the generalised extended approximation method.Firstly,the formula of the generalised extended approximation method was derived,and then the 10-month monitoring data of the vertical displacement monitoring point of the pile top of a foundation pit was used for denoising pre-processing before calculation and analysis.The interpolation analysis was carried out based on the generalised extended approximation method,and the sliding algorithm was adopted to study the relationship between the combination of different unit domain nodes r,extended domain nodes s and approximation function terms t and the interpolation accuracy.The results of the data calculations show that the accuracy is relatively stable when s is larger,r and t are relatively small and closer,and the interpolation accuracy of the combination r=2,t=3 and s=4 reaches the highest.The extrapolation accuracy of the generalised extended approximation method is investigated,and the data analysis shows that there is a positive relationship between the number of known nodes and the interpolation accuracy.The study concludes that the interpolation model and extrapolation model of the generalised extended approximation method have high computational accuracy,which can reach the sub-millimetre level,and are suitable for pit monitoring data processing,with good engineering value and application prospects.
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