不规则三角网土方量计算数学模型及精度分析

Earthwork Calculation Mathematical Model and Evaluation Accuracy Based on Irregular Triangulation

土方量的计算是铁路、公路勘察、场地平整等土木工程中经常碰到的问题,在实际生产应用中,有时不同方法计算的土石方量相差较大,因此确定不同方法的土方计算精度显得尤为重要。本文首先介绍了利用不规则三角网进行土方量计算的方法,给出了单个三角形对应的几何体的体积计算公式。在此基础上,根据误差传播定律,以点位误差和高程误差为影响因子,对不规则三角网土方量计算结果精度进行评价。最后利用野外实测的地形点数据对本文的方法进行了验证和分析。

The calculation of earth volume is a common problem encountered in civil engineering such as railways,highway surveys,and site leveling.In actual production and application,sometimes there are large differences in the amount of earth volume calculated by different methods.So it is particularly important to determine the earth volume accuracy of different methods.Firstly,this paper introduces a earth volume calculation mehod based on triangulated irregular network（TIN）and described the volume calculation fumular of the geometric body corresponding to a single trianglar.On this basis,by using the coordinate error and elevation error,we relazie the accuracy assessment of the calculated earth volume according to the error propagation theory.The method is finally applied to the data of field measured topographic points.