摘要
以西藏昌都地区芒康县索多西乡的雪隆囊滑坡的三维点坐标为基础,利用单纯形积分理论和Delaunay三角剖分理论计算了滑坡堆积体体积。将滑坡后壁、滑坡周界、堆积体表面等关键位置点的三维坐标拟合为曲面方程,得出最佳拟合滑动面,结合堆积体表面数据得到完整堆积体的坐标。利用Delauany三角剖分算法将滑坡堆积体剖分成三棱锥,用单纯形积分方法计算堆积体的体积。最后将三维单纯形积分方法计算结果与地质勘察报告值、传统几何方法及经验公式法的计算结果进行对比。结果表明:单纯形积分计算结果与勘测值基本吻合,与传统几何方法计算结果相差27.4%,与经验公式法计算结果相差5.2%~75.3%,说明基于单纯形积分理论的计算方法可用于堆积体体积计算。
According to Shi Genhua's simplex integral theory and the Delaunay triangulation theory,we calculated the volume of the Xuelongnang landslide in Suodoxi Village,Mangkang County,Qamdo of Tibet based on the landslide's three-dimensional point coordinates.We firstly fit the three-dimensional coordinates of the key points on the back wall of the landslide,on the perimeter of the landslide,and on the surface of the accumulation body to a curved surface equation,and then we obtained the best fitting sliding surface.Secondly,on the basis of the data of the accumulation body's surface,we obtained the coordinates of the complete accumulation body.Thirdly,we divided the ccumulation body into triangular pyramid by Delaunay triangulation algorithm,and calculated the volume of the cumulation body by the simplex integral method.Finally we compared our results from the simplex integral method with the results from the Geological Survey Report,the traditional geometric method,and the empirical formula method.We found that our results were basically consistent with the survey data,but different from the ones by the traditional geometric method about 27.4%,and different from the ones from empirical formula method about 5.2%~75.3%.This proves that the simplex integral method can be used to calculate the landslide volume.
作者
郭明珠
梁洲婕
王天成
刘晃
GUO Mingzhu;LIANG Zhoujie;WANG Tiancheng;LIU Huang(Faculty of Architecture,Civil and Transportation Engineering,Beijing University of Technology,Beijing 100084,China)
出处
《地震研究》
CSCD
北大核心
2022年第3期460-467,共8页
Journal of Seismological Research
基金
国家重点研发计划项目(2018YFC1505001)资助.
关键词
滑坡堆积体
单纯形积分
雪隆囊滑坡
昌都地区
landslide accumulation body
simplex integral
the Xuelongnang landslide
Qamdo Region
