基于二维经验分布的不连续面产状 Monte Carlo模拟

doi:10.13722/j.cnki.jrme.2014.0982

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摘要描述不连续面产状的概率分布主要有：Fisher分布、Bingham分布和双正态分布。然而大部分实际岩体中不连续面产状统计特性不适用于这些理论分布。因此二维经验分布(根据实测产状而获得)是呈现实际岩体中不连续面产状比较有效的分布。本文目的是介绍基于二维经验分布进行不连续面产状Monte Carlo模拟的方法，并利用Excel VBA开发了一款名为EMCSDO的程序。EMCSDO是为科研人员和工程师免费设计的，只需掌握一点计算机知识就能够快速掌握它的操作。最后给出2个算例，结果表明：(1) EMCSDO的模拟效果比较理想；(2) 利用Monte Carlo模拟不连续面产状时，首先应检验样本产状对上述理论分布的拟合度，若能找到满足样本产状的理论分布，优先选用理论分布进行模拟，若找不到则用本文介绍的二维经验分布进行模拟。

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	魏进兵2

关键词 ：岩石力学, 岩体, 节理网络, 结构面, 赤平投影, 拟合, 检验

Abstract：

There exist some probability distributions for describing rock discontinuity，e.g.，Fisher distribution， Bingham distribution，and bivariate normal distribution. But in reality they are not suitable to represent the statistical characteristics of rock discontinuity orientation data in most cases. In such cases one should use the bivariate empirical distributions obtained for the discontinuity orientations in representing the statistical distributions of discontinuity orientations. The paper introduces the empirical bivariate distribution into the Monte Carlo simulation(MSC) of rock discontinuity orientations and develops a corresponding computer code，named as EMCSDO. EMCSDO is a freeware designed for researchers and practicing engineers，and can be easily mastered by them with little computer knowledge. Two examples with satisfactory results are presented to show the validity of the code. The second example also show if a theoretical distribution can be found to fit discontinuity orientations well，we should prefer to use the theoretical distribution to simulate the orientations based on Monte Carlo technique.

Key words： rock mecharics rock mass joint network rock structure stereographic projection fitting chi- square test

引用本文:

郑俊1，2，3，KULATILAKE P H S W3，邓建辉2，魏进兵2. 基于二维经验分布的不连续面产状 Monte Carlo模拟[J]. 岩石力学与工程学报, 2015, 34(S2): 3922-3929.
Zheng Jun1，2，3，KULATILAKE P H S W3，Deng Jianhui 2，WEI Jinbing2. A MONTE CARLO SIMULATION FOR DISCONTINUITY ORIENTATIONS USING BIVARIATE EMPIRICAL DISTRIBUTION. , 2015, 34(S2): 3922-3929.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2014.0982 或 https://rockmech.whrsm.ac.cn/CN/Y2015/V34/IS2/3922

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