Von Bertalanffy模型在基坑沉降中研究与应用

Application and Study on Settlement of Foundation Pit During the Whole Process with the Von Bertalanffy Model

基坑沉降量与时间曲线关系,可以用Von Bertalanffy生长模型来描述。简单地叙述了Von Bertalanffy模型基本知识;然后用数学的方法证明了此生长模型符合S曲线的特性。结合工程实例和三段法、三点法原理,提出了适用于此模型的三段法和改进三点法。将两种方法预测的结果作比较。结果表明:两种曲线拟合度均大于0.99,并且两种方法都充分利用了全部数据。但三段法在前期预测时误差较大,改进三点法计算结果与实际值吻合度较好,且与实际的测量值误差较小,应用范围更广,为其他工程提供监测依据。

The settlement-time relationship of foundation pit during the whole process can be described by Von Bertalanffy growthmodel. It simply narrates the principle knowledge of the Von Bertalanffy model and then proves that the growth model fits in S-shaped curve by mathematics method. According to the field data from practical engineering and the principle of three section method and three-point method,it puts forward to suitable for three section method of model and advanced-three points method. The results indicated two methods of fitting precision exceed 0. 99 and takes full advantage of monitor dates, but three section methods predicted more error to actual results. Advanced-three points method gives more rational evaluation in case of settlement trend prediction. The results will be provided monitoring basis for other projects.