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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
2014
Source PublicationROCK MECHANICS AND ROCK ENGINEERING
ISSN0723-2632
Volume47Issue:6Pages:2183-2198
AbstractWe 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.
KeywordCrack propagation Fluid pressure Rock discontinuous cellular automaton Level set method Partition of unity Stress intensity factor
DOI10.1007/s00603-013-0522-4
Indexed BySCI
Language英语
WOS Research AreaEngineering ; Geology
WOS SubjectEngineering, Geological ; Geosciences, Multidisciplinary
WOS IDWOS:000344397400016
PublisherSPRINGER WIEN
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://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
Affiliation1.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn ;
2.Univ Calif Berkeley, Lawrence Berkeley Natl Lab
First Author AffilicationInstitute 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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