水准网线性混合效应模型建立与参数估计研究

Research on linear mixed effect model and parameter estimation of leveling network

水准网观测数据经平差处理,可得到沉降预测的初始数据,数据的精确度影响着沉降规律预测的正确性。实践中发现,采用传统函数模型的计算结果,常受定权因素影响,平差结果表现出一定的差异性。针对此问题,提出水准网线性混合效应模型与参数估计方法。模拟试验以及工程案例结果表明,水准网利用线性混合效应模型进行平差计算较传统间接平差具有无需定权、参数估计精度高、沉降趋势特征明显等优势。

Monitoring and settlement prediction is based on the result of leveling data adjustment processing.Data precision determines the correctness of settlement rule.It is found in practice that the difference of error weight has a greater effect on the adjustment results obtained by traditional indirect adjustment model.This paper focuses on the problem and proposes a linear mixed effect model and parameter estimation for leveling network.Compared with traditional indirect adjustment model advantages of the new method such as no determining error weights,high-accuracy of parameter estimation and the obvious characteristics of settlement trend,were proven with an example and settlement engineering cases.