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基于细胞自动机方法的多裂纹扩展贯通模拟

唐志丹 刘庆龙 张凡 谭海嵘 晏飞 杨皓然 郑虹

土木工程与管理学报2023,Vol.40Issue(6):39-46,8.
土木工程与管理学报2023,Vol.40Issue(6):39-46,8.DOI:10.13579/j.cnki.2095-0985.2023.20230168

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

唐志丹 1刘庆龙 2张凡 3谭海嵘 4晏飞 5杨皓然 5郑虹5

作者信息

  • 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
  • 折叠

摘要

Abstract

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 dis-continuous 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 meth-od 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 compu-tational efficiency.Based on the above theory,a fast adaptive continuous-discontinuous cellular au-tomata 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 compres-sion and shear in two rock multiple cracks models with different crack numbers,positional relation-ships,and distribution distances were verified by numerical examples,and the convergence and pene-tration 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

Key words

multiple crack/fracturing behavior/continuous-discontinuous cellular automaton meth-od/crack convergence/crack intersecting

分类

建筑与水利

引用本文复制引用

唐志丹,刘庆龙,张凡,谭海嵘,晏飞,杨皓然,郑虹..基于细胞自动机方法的多裂纹扩展贯通模拟[J].土木工程与管理学报,2023,40(6):39-46,8.

基金项目

国家自然科学基金(51879261) (51879261)

土木工程与管理学报

OACHSSCDCSTPCD

2095-0985

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