基于控制圆法和迭代反演的岩体多边形裂隙网络模拟方法

doi:10.13722/j.cnki.jrme.2019.0086

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摘要三维离散裂隙网络是研究岩体结构的常用方法，目前最为普及的Baecher圆盘法是基于统计学并通过各种假设简化后推导出来的，其将所有裂隙都视为圆盘的基本假定与工程实际较为不符。本文提出一种简便可行的用随机多边形替代Baecher圆盘的模拟方法，以期更能反映真实的岩体裂隙情况。首先提出一种控制圆法用以控制随机多边形裂隙的形状，并通过数学推导证明该方法的合理性。之后提出一种迭代反演算法对多边形裂隙的尺寸分布函数进行逼近求解。为使算法能快速收敛，推导一系列调参方程和算法初始化准则。在工程算例中，先通过将Baecher圆盘法的结果与该方法的迭代反演结果进行对比，证明该方法的有效性；进而将其推广到多边形三维离散裂隙网络的建模。该方法为研究岩体内部结构提供了一个新思路。

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	韩帅1
	李明超1
	王刚2

关键词 ：岩石力学, 离散裂隙网络, 控制圆法, 迭代反演, 迹线, 裂隙尺寸分布

Abstract：Dimensional discrete fracture network(DFN) is a common approach to analyze the structure of rock masses. However，Baecher disk method which is most popular，is entirely based on statistics and the assumption that fractures are disks rather than polygons for the convenience of mathematical derivation. In this study，a polygonal DFN modeling method more really reflecting fracture feature was developed to improve the traditional Baecher disk method. A circle-controlled method was proposed to determine the shape of random polygonal fractures and its validity was proven through mathematical derivation. For determining the size distribution of fractures，an iterative inversion algorithm was presented. To ensure that the algorithm is able to rapidly converge，a set of adjusting and initialization rules of the parameters of the algorithm were designed. A case study，in which comparison between the trace maps of two DFNs generated by the proposed method and Baecher method is carried out，shows that the iterative inversion algorithm can almost achieve the same results as Baecher method when assuming that the fractures are disks. Further，a polygonal discrete fracture network is generated using the presented method. This research provides a new way to analyze the structure of rock masses.

Key words： rock mechanics discrete fracture network control circle iterative inversion trace length fracture size distribution

引用本文:

韩帅1，李明超1，王刚2. 基于控制圆法和迭代反演的岩体多边形裂隙网络模拟方法[J]. 岩石力学与工程学报, 2019, 38(8): 1635-1646.
HAN Shuai1，LI Mingchao1，WANG Gang2. A polygonal DFN modeling approach based on the circle-controlled method and the iterative inversion algorithm. , 2019, 38(8): 1635-1646.

链接本文:

http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2019.0086 或 http://www.rockmech.org/CN/Y2019/V38/I8/1635

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