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基于分形插值的岩石边坡工程挖填方量估算

ISSN号：1000-6915
期刊名称：岩石力学与工程学报
时间：0
页码：3999-4005
语言：中文
分类：P642.22[天文地球—工程地质学;天文地球—地质矿产勘探;天文地球—地质学]
作者机构：[1]河海大学岩土工程研究所,江苏南京210098, [2]三峡大学土木水电学院,湖北宜昌443002, [3]中国水电顾问集团成都勘测设计研究院,四川成都610072
相关基金：国家自然科学基金重点项目（50539110）;国家科技支撑计划项目（2006BAB04A02,2008BAB29801）
相关项目：岩石高边坡失稳的大型滑坡预警和防治

关键词：边坡工程, 岩质边坡, 挖填方量, 分形布朗运动, 分形插值, TIN模型, slope engineering, rock slope, cut-fill volumes, fractional Brownian motion（fBm）, fractal interpolation, TIN model

中文摘要：

传统插值算法主要基于平滑性的约束条件,插值后的结果不能如实反映岩石边坡的自然地表形貌,由此估算的挖填方量不够精确。鉴于岩石边坡工程自然地表都具有随机抖动和自相似的特性,通过获取地表分形特征并应用基于分形布朗运动（fBm）的插值算法对岩石边坡工程自然地表的测绘采样数据进行插值,能够更加逼真地复原地貌特征。因此,依据自然地表测绘采样数据的分形插值结果及开挖控制线,并采用带约束三角网剖分算法来建立岩石边坡工程开挖（回填）体的TIN模型,能够更加精确地计算岩石边坡工程的挖填方量。在假定某区域地表控制点数据集合作为实际地貌的前提下,通过误差分析表明：根据fBm分形插值方法得到的方量计算误差为0.14%,而采用Nurbs插值方法的误差为1.5%,fBm分形插值方法的估算精度远高于传统方法。最后,以锦屏一级水电站左岸岩石高边坡工程作为应用实例,为边坡工程开挖方量结算和三维可视化分析提供了依据。

英文摘要：

The traditional interpolation algorithm is mainly based on smoothing mechanism,the result of interpolation cannot truly reflect the natural rock slope surface morphology,and the volume cannot be estimated through these results.In view of the natural terrain of rock slope engineering with random dithering and self-similar characteristics,by acquiring the surface characteristics and using interpolation algorithm based on the fractional Brownian motion（fBm）,more intensive dataset of rock slope with natural terrain can be obtained through the samples of mapping data,and the geomorphic feature of rock slope can be accurately restored.Therefore,the TIN model of excavation mass will be constructed by constraint Delaunay triangulation algorithm according to the dataset points and constraint lines of natural terrain.This method can accurately estimate cut-fill volumes of rock slope engineering.Under the prerequisite that a regional dataset of surface control points is regarded as the actual landscape,and the results of error analysis show that the error percentage of calculating cut-fill volumes with fBm fractal interpolation method is 0.14%,and that using Nurbs interpolation method is 1.5%,and fBm fractal interpolation method has much higher accuracy than traditional methods.In addition,a case study of the left bank high slope excavation of Jinping first stage hydropower station is given.It is shown that this research can provide references for excavation calculation and 3D visualization analysis of slope engineering.

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