Knowledge Management System of Institute of Rock and Soil Mechanics,CAS
| A Discontinuous Cellular Automaton Method for Modeling Rock Fracture Propagation and Coalescence Under Fluid Pressurization Without Remeshing | |
Pan, Peng-Zhi1,2; Rutqvist, Jonny2; Feng, Xia-Ting1 ; Yan, Fei1; Jiang, Quan1
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| 2014 | |
| Source Publication | ROCK MECHANICS AND ROCK ENGINEERING
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| ISSN | 0723-2632 |
| Volume | 47Issue:6Pages:2183-2198 |
| Abstract | We present a formulation of a discontinuous cellular automaton method for modeling of rock fluid pressure induced fracture propagation and coalescence without the need for remeshing. Using this method, modelers discretize a discontinuous rock-mass domain into a system composed of cell elements in which the numerical grid and crack geometry are independent of each other. The level set method, which defines the relationship between cracks and the numerical grid, is used for tracking the crack location and its propagation path. As a result, no explicit meshing for crack surfaces and no remeshing for crack growth are needed. Discontinuous displacement functions, i.e., the Heaviside functions for crack surfaces and asymptotic crack-tip displacement fields, are introduced to represent complex discontinuities. When two cracks intersect, the tip enrichment of the approaching crack is annihilated and is replaced by a Heaviside enrichment. We use the "partition of unity" concept to improve the integral precision for elements, including crack surfaces and crack tips. From this, we develop a cellular automaton updating rule to calculate the stress field induced by fluid pressure. Then, the stress is substituted into a mixed-mode fracture criterion. The cracking direction is determined from the stress analysis around the crack tips, where fracture fluid is assumed to penetrate into the newly developed crack, leading to a continuous crack propagation. Finally, we performed verification against independent numerical models and analytic solutions and conducted a number of simulations with different crack geometries and crack arrangements to show the robustness and applicability of this method. |
| Keyword | Crack propagation Fluid pressure Rock discontinuous cellular automaton Level set method Partition of unity Stress intensity factor |
| DOI | 10.1007/s00603-013-0522-4 |
| Indexed By | SCI |
| Language | 英语 |
| WOS Research Area | Engineering ; Geology |
| WOS Subject | Engineering, Geological ; Geosciences, Multidisciplinary |
| WOS ID | WOS:000344397400016 |
| Publisher | SPRINGER WIEN |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://119.78.100.198/handle/2S6PX9GI/3647 |
| Collection | 岩土力学所知识全产出_期刊论文 岩土力学所知识全产出 国家重点实验室知识产出_期刊论文 |
| Affiliation | 1.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn ; 2.Univ Calif Berkeley, Lawrence Berkeley Natl Lab |
| First Author Affilication | Institute of Rock and Soil Mechanics, chinese Academy of sciences |
| Recommended Citation GB/T 7714 | Pan, Peng-Zhi,Rutqvist, Jonny,Feng, Xia-Ting,et al. A Discontinuous Cellular Automaton Method for Modeling Rock Fracture Propagation and Coalescence Under Fluid Pressurization Without Remeshing[J]. ROCK MECHANICS AND ROCK ENGINEERING,2014,47(6):2183-2198. |
| APA | Pan, Peng-Zhi,Rutqvist, Jonny,Feng, Xia-Ting,Yan, Fei,&Jiang, Quan.(2014).A Discontinuous Cellular Automaton Method for Modeling Rock Fracture Propagation and Coalescence Under Fluid Pressurization Without Remeshing.ROCK MECHANICS AND ROCK ENGINEERING,47(6),2183-2198. |
| MLA | Pan, Peng-Zhi,et al."A Discontinuous Cellular Automaton Method for Modeling Rock Fracture Propagation and Coalescence Under Fluid Pressurization Without Remeshing".ROCK MECHANICS AND ROCK ENGINEERING 47.6(2014):2183-2198. |
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| A Discontinuous Cell（2290KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
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