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Characterization of discontinuity surface morphology based on 3D fractal dimension by integrating laser scanning with ArcGIS
Bulletin of Engineering Geology and the Environment ( IF 4.2 ) Pub Date : 2021-01-08 , DOI: 10.1007/s10064-020-02011-6
Bowen Zheng , Shengwen Qi , Guangming Luo , Fangcui Liu , Xiaolin Huang , Songfeng Guo

The fractal geometry method has been employed to quantitatively characterize the roughness of a rock discontinuity, which is one of the key factors affecting its shear strength and the seepage characteristics of a rock mass. However, the current fractal methods involving the three-dimensional discontinuity morphology suffer from one or more problems, such as a complicated calculation procedure, an inaccurate calculation result and an inability to characterize the undulation and anisotropy of a discontinuity. To cope with these problems, the discontinuities in artificial granite samples with irregular and undulating surfaces were taken as examples, and a quantitative study on the discontinuity morphology was conducted based on the method of three-dimensional laser scanning in combination with ArcGIS data processing, geographical research, theoretical calculations and regression analysis. After performing systematic research, we proposed an extensive 3D fractal dimension including three discontinuity morphological parameters, i.e. the fractal dimension of discontinuity morphology, the ratio between the maximal undulating amplitude and the discontinuity length, and the average value of all the apparent dip angles of the discontinuity surfaces dipping opposite the shear direction. The extensive 3D fractal dimension can comprehensively characterize the roughness, undulation and anisotropy of the discontinuity morphology. A set of theoretical calculation methods were then developed to determine the three discontinuity morphological parameters of the extensive 3D fractal dimension based on ArcGIS. We finally established a mathematical expression of the extensive 3D fractal dimension. Compared with the current fractal methods, the extensive 3D fractal dimension can effectively compensate for the inability to characterize the undulation and anisotropy of the discontinuity morphology. Its calculation methods have the advantages of simplification, low-time consumption and high precision.



中文翻译:

通过将激光扫描与ArcGIS集成,基于3D分形维数来表征不连续表面形态

分形几何方法已被用来定量表征岩石间断面的粗糙度,这是影响其抗剪强度和岩体渗透特性的关键因素之一。然而,目前涉及三维不连续性形态的分形方法存在一个或多个问题,例如复杂的计算过程,不准确的计算结果以及无法表征不连续性的起伏和各向异性。为了解决这些问题,以表面不规则起伏的人造花岗岩样品中的不连续性为例,结合三维激光扫描技术结合ArcGIS数据处理技术,对不连续性形态进行了定量研究。研究,理论计算和回归分析。在进行了系统研究之后,我们提出了一个广泛的3D分形维数,其中包括三个不连续性形态学参数,即不连续性形态的分形维数,最大波状振幅与不连续性长度之比,以及所有视在倾角的平均值。与剪切方向相反的不连续表面。广泛的3D分形维数可以全面表征不连续性形态的粗糙度,起伏和各向异性。然后开发了一套理论计算方法来确定基于ArcGIS的3D分形维数的三个不连续形态参数。我们最终建立了广泛的3D分形维数的数学表达式。与目前的分形方法相比,广泛的3D分形维数可以有效地补偿无法表征不连续性形态的起伏和各向异性。其计算方法具有简化,耗时少,精度高的优点。

更新日期:2021-01-08
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