利用Vondrak滤波优化Richards曲线的沉降预测方法  

Improved Method for Richards Curve Subsidence Prediction Based on Vondrak Filtering

作　　者：周飞 姚茂华 杨翼飞 唐诗华 张跃 ZHOU Fei;YAO Maohua;YANG Yifei;TANG Shihua;ZHANG Yue(Geomatices Center of Guangxi, Nanning 530023, China;College of Geomatics and Geoinformation, Guilin University of Technology, Guilin 541006, China;Guangxi Key Laboratory of Spatial Information and Geomatics, Guilin 541006, China)

机构地区：[1]广西壮族自治区基础地理信息中心,广西南宁530023 [2]桂林理工大学测绘地理信息学院,广西桂林541006 [3]广西空间信息与测绘重点实验室,广西桂林541006

出　　处：《测绘科学技术学报》2020年第1期61-67,共7页Journal of Geomatics Science and Technology

基　　金：国家自然科学基金项目(41864002);广西自然科学基金项目(2018GXNSFAA138168);广西空间信息与测绘重点实验室基金项目(16-380-25-13)。

摘　　要：针对沉降预测模型的重要参数难以选取问题,考虑观测数据中含有噪声的影响,提出了利用Vondrak滤波优化Richards曲线的沉降预测方法。为了使预测值更加逼近实测值,选择以Richards曲线为基础模型进行改进,优化模型的沉降初始值和沉降极限值参数。利用Vondrak滤波对实测沉降数据进行平滑处理,减弱观测值中噪声的影响,为模型构建提供更加合理的参考数据。将Fminsearch函数计算结果作为参数迭代初始值,联合逐步回归分析法求得预测模型的最优参数。通过对比实验分析发现,改进方法的预测精度达到了±0.124 mm,与未加改进的预测方法相比,精度得到了较大提高。研究结果表明,利用Vondrak滤波优化的沉降预测方法能够提高精度,同时验证了改进方法的有效性。Considering the influence of noise in the observation data,aiming at the problem that the important parameters of the settlement prediction model are difficult to select,a settlement prediction method using the vondrak filter to optimize the Richards curve was proposed.In order to make the predicted value close to the measured value,the Richards curve-based model was selected to improve and optimize the settlement initial value and settlement limit parameter of the model.The Vondrak filter was used to smooth the measured settlement data,and the influence of noise in the observations was reduced to provide more reasonable reference data for model construction.The Fminsearch function calculation result was used as the parameter iteration initial value and the stepwise regression analysis method was combined to obtain optimal parameters of the prediction model.The experimental results showed the accuracy of the improved prediction model was±0.124 mm,and the accuracy was greatly improved compared with that of the unimproved prediction method.The research shows that the settlement prediction method optimized by Vondrak filtering can improve the accuracy,and the validity of the improved method was verified.

关 键 词：沉降预测 VONDRAK滤波 数据预处理 Richards曲线 精度分析 

分 类 号：P258[天文地球—测绘科学与技术]