基于幂函数的路基沉降预测模型

Prediction model for subgrade settlement based on power function

指数模型和双曲线模型是两个传统工后沉降预测模型,研究表明,这两种模型反映了两个极端:前者推算的结果通常偏小,而后者推算的结果又通常偏大。为了克服其缺点,在两个传统模型的基础上提出三参数幂函数模型,指数模型和双曲线模型分别是幂函数模型的两个特例:当幂指数n=1时,幂函数模型退化成指数模型;当n=2时,幂函数模型退化成双曲线模型。以深圳机场路基沉降为例,采用幂函数模型拟合和预测的沉降数据较两个传统模型误差更小,适应性更强。

Index model and hyperbolic model are traditional prediction models for subgrade settlement predication after construction.Relevant researches show that the two models have two extreme conditions respectively,which is that the results calculated by the former are relatively smaller than measured,while those calculated by the latter are larger.In order to solve the problem,we put forward power function model with three parameters based on the above two models.Index model and hyperbolic model are two special cases of power function model respectively,namely,when n=1,power function model degenerates to index model,and when n=2,power function model degenerates to hyperbolic model.Taking subgrade settlement of Shenzhen airport as an example,the error of fitted and predicted data by power function model is smaller than that predicted by 2 traditional models,therefore,this model is more adaptive in subgrade settlement predicting.