基于Voronoi块体模型的砂岩力学特性研究

doi:10.12068/j.issn.1005-3026.2021.11.012

东北大学学报（自然科学版） ›› 2021, Vol. 42 ›› Issue (11): 1600-1608.DOI: 10.12068/j.issn.1005-3026.2021.11.012

基于Voronoi块体模型的砂岩力学特性研究

孙浩^1,2，陈帅军^1,2，金爱兵^1,2，李海^1,2

(1. 北京科技大学金属矿山高效开采与安全教育部重点实验室，北京100083; 2. 北京科技大学土木与资源工程学院，北京100083)

修回日期:2021-03-15 接受日期:2021-03-15 发布日期:2021-11-19
通讯作者: 孙浩
作者简介:孙浩(1992-)，男，安徽阜阳人，北京科技大学讲师，博士；金爱兵(1974-)，男，江苏兴化人，北京科技大学教授，博士生导师.
基金资助:
国家自然科学基金资助项目(52004017，52174106)；中国博士后科学基金资助项目(2020M670138)；中央高校基本科研业务费专项资金资助项目(FRF-TP-19-026A1).

Study on Mechanical Properties of Sandstone Based on Voronoi Block Model

SUN Hao^{1, 2}， CHEN Shuai-jun^{1, 2}， JIN Ai-bing^{1, 2}， LI Hai^{1, 2}

1. Key Laboratory of Ministry of Education for Efficient Mining and Safety of Metal Mines， University of Science and Technology Beijing， Beijing 100083， China; 2. School of Civil and Resource Engineering， University of Science and Technology Beijing， Beijing 100083， China.

Revised:2021-03-15 Accepted:2021-03-15 Published:2021-11-19
Contact: JIN Ai-bing
About author:-
Supported by:
-

摘要/Abstract

摘要： PFC软件中球形颗粒和平行黏结接触模型(PBM)被广泛应用于岩石力学特性模拟研究.然而，球形颗粒和PBM存在两个明显缺陷:球形颗粒与岩石材料的晶粒形状相差较大;无侧限抗压强度与抗拉强度之比(压拉比)偏低.基于此，以山西吕梁地区典型砂岩为例，通过Voronoi剖分建立刚性块体数值试样，并使用软化黏结接触模型(SBM)对砂岩试样进行模拟分析.研究结果表明，基于刚性块体和SBM的数值模拟相较于传统基于球形颗粒和PBM的数值模拟而言，主要具有3个优点:与球形颗粒试样相比，刚性块体间自锁效应增大，刚性块体模型间的配位数明显提高，更能模拟真实砂岩的晶粒形状和晶粒间力学行为;软化黏结模型能模拟出砂岩更大的压拉比，更能真实表征砂岩在多应力路径下的力学特性;采用基于刚性块体和SBM的数值模型能够真实反映砂岩典型的剪切破坏模式.

关键词: 砂岩;刚性块体;Voronoi剖分;软化黏结模型;压拉比

Abstract: The spherical particle and parallel bond model(PBM)in PFC(particle flow code) software is widely used to simulate the mechanical properties of rock. However， spherical particles and PBM have two intrinsic drawbacks: the grain shape of spherical particles is quite different from that of rock materials， and the ratio of unconfined compressive strength to tensile strength(UCS/TS)is low. Based on this， taking the typical sandstone in Lüliang area of Shanxi Province as an example， the rigid block numerical specimens are established by Voronoi tessellations， and the mechanical properties of sandstone are studied by using the softe-bond model(SBM). The results show that the scheme has three advantages compared with the traditional numerical simulation based on spherical particles and PBM: compared with the spherical sample， the grain interlocking between the rigid blocks increases， and the coordination number between the rigid block models increases significantly， which can better simulate the grain shape and mechanical behavior of real sandstone. The SBM can simulate the larger unconfined compressive strength to tensile strength ratio of sandstone， which can truly characterize the mechanical properties of sandstone under multiple stress paths. The numerical model based on rigid block and SBM can truly reflect the typical shear failure mode of sandstone.

Key words: sandstone; rigid block; Voronoi tessellations; soft-bond model; UCS/TS ratio

中图分类号:

TU45

孙浩，陈帅军，金爱兵，李海. 基于Voronoi块体模型的砂岩力学特性研究[J]. 东北大学学报（自然科学版）, 2021, 42(11): 1600-1608.

SUN Hao ， CHEN Shuai-jun ， JIN Ai-bing ， LI Hai. Study on Mechanical Properties of Sandstone Based on Voronoi Block Model[J]. Journal of Northeastern University(Natural Science), 2021, 42(11): 1600-1608.

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基于Voronoi块体模型的砂岩力学特性研究

Study on Mechanical Properties of Sandstone Based on Voronoi Block Model

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