基于细胞自动机方法的多裂纹扩展贯通模拟  

Simulation of Multiple Crack Propagation and Coalescence Based on Cellular Automata Method

作　　者：唐志丹 刘庆龙 张凡 谭海嵘 晏飞[5] 杨皓然 郑虹[5] TANG Zhidan;LIU Qinglong;ZHANG Fan;TAN Hairong;YAN Fei;YANG Haoran;ZHENG Hong(PowerChina Chengdu Engineering Corporation Limited,Chengdu 610072,China;Changqing General Drilling Company,CNPC Chuangqing Drilling Engineering Company Limited,Xi’an 710021,China;Changqing Downhole Operation Company,CNPC Chuangqing Drilling Engineering Company Limited,Xi’an 710021,China;Changqing Supervision Company,CNPC Chuangqing Drilling Engineering Company Limited,Xi’an 710021,China;State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan 430071,China)

机构地区：[1]中国电建集团成都勘测设计研究院有限公司,四川成都610072 [2]中国石油集团川庆钻探工程有限公司长庆钻井总公司,陕西西安710021 [3]中国石油集团川庆钻探工程有限公司长庆井下技术作业公司,陕西西安710021 [4]中国石油集团川庆钻探工程有限公司长庆监督公司,陕西西安710021 [5]中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,湖北武汉430071

出　　处：《土木工程与管理学报》2023年第6期39-46,共8页Journal of Civil Engineering and Management

基　　金：国家自然科学基金(51879261)。

摘　　要：针对岩石力学领域压剪荷载作用下多裂纹扩展、交叉和贯通等复杂裂纹行为问题,提出了多裂纹交汇问题的数学力学精细描述方法,建立了多裂纹交叉的非连续精细表征模型。基于此,进一步构建了多裂纹交叉和交汇的摩擦接触精细连续到非连续数学力学描述模型,构建了接触摩擦迭代和元胞快速更新交替耦合的快速迭代方法,实现了压剪摩擦接触迭代与元胞更新交替快速迭代,大幅提高计算效率。基于上述理论,提出多裂纹相互作用断裂行为的快速自适应连续-非连续细胞自动机方法。通过算例验证了两种不同裂纹数量、位置关系和分布距离的岩石多裂纹模型在压剪荷载下的开裂与扩展的抑制和增强作用的相互影响特征,分析了多裂纹的汇合与贯通规律。数值算例表明,本方法在多裂纹扩展和贯通分析中是高效、精确的。In the field of rock mechanics,aiming at the complex crack behavior problems such as multiple crack propagation,intersection and coalescence under compression and shear loads,a fine mathematical description method of multiple crack intersection problem was proposed,and a fine discontinuous characterization model of multiple cracks intersecting was established.Based on those,a mathematical and mechanical description model of friction contact with multiple crack intersecting and convergence,from continuity to discontinuity,was further constructed.A fast adaptive iteration method for alternating and coupling of contact friction and cell updating was constructed,and achieved fast iteration of alternating friction contact iteration and cell updating,which greatly improved the computational efficiency.Based on the above theory,a fast adaptive continuous-discontinuous cellular automata method for the interaction and fracture behavior of multiple crack was proposed.The interaction characteristics between the suppression and enhancement of cracking and propagation under compression and shear in two rock multiple cracks models with different crack numbers,positional relationships,and distribution distances were verified by numerical examples,and the convergence and penetration laws of multiple crack were analyzed.Numerical examples show that this method is efficient and accurate in the analysis of multiple crack propagation and coalescence.

关 键 词：多裂纹 断裂行为 连续-非连续细胞自动机 裂纹汇合 裂纹交叉 

分 类 号：TU458.4[建筑科学—岩土工程]