A random field model for surface roughness and aperture of rock fractures
A random field model for surface roughness and aperture of rock fractures
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DOI：
10.1016/s1365-1609(00)00052-6
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发表时间：
2000-12-01
影响因子：
7.2
通讯作者：
Lanaro, F
中科院分区：
文献类型：
--
作者：
Lanaro, F
目前岩石断裂行为的本构模型需要关于断裂几何形状的信息，岩体的力学和水力特性在很大程度上依赖于断裂几何形状。在本文中，测量岩石断裂面和孔径使用三维激光扫描技术的报告，以检查断裂几何形状的分形模型的有效性。该配方采用分形描述的粗糙度，棱角和孔径。如果递增的增量意味着下一个增量的增加，则分形模式可以是持久的;如果递增的增量跟随递减的增量，则分形模式可以是反持久的。持久性和反持久性被认为是粗糙度和孔径几何复杂性的描述符。数据的分析还表明，分形模型适用，直到发生平稳足够大的样本，表现为随机变量。这些样本量被定义为粗糙度和孔径的平稳性阈值。此外，粗糙高度和孔径之间的互相关的研究提供了裂缝粗糙度和孔径几何形状之间的联系。在剪切过程中的裂缝孔径的理论模型的开发和成功地与文献中报道的实验和数值研究相比。(C)2000爱思唯尔科技有限公司版权所有。
Present constitutive models for rock fracture behaviour require information concerning the fracture geometry, on which the mechanical and hydraulic properties of the rock mass are greatly dependent. In this paper, measurements of rock fracture surfaces and aperture using a 3-D-laser-scanning technique are reported in order to check the validity of a fractal model for fracture geometry. This formulation incorporates fractal descriptions of roughness, angularity and aperture. Fractal patterns can be persistent if an increasing increment implies an increase in the next increment, or anti-persistent if increasing increments follows decreasing increments. Persistence and anti-persistence are recognised as descriptors of the geometrical complexity of roughness and aperture. The analysis of the data also shows that the fractal models apply until stationarity occurs for sufficiently large samples, which behave as random variables. These sample sizes are defined as stationarity thresholds of roughness and aperture. Moreover, the study of the cross-correlation between the asperity height and aperture provides the link between fracture roughness and aperture geometry. A theoretical model of fracture aperture during shearing is developed and successfully compared with experimental and numerical studies reported in the literature. (C) 2000 Elsevier Science Ltd. All rights reserved.