NDLI: A Discontinuous Cellular Automaton Method for Modeling Rock Fracture Propagation and Coalescence Under Fluid Pressurization Without Remeshing

Content Provider	Springer Nature Link
Author	Pan, Peng Zhi Rutqvist, Jonny Feng, Xia Ting Yan, Fei Jiang, Quan
Copyright Year	2013
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.
Starting Page	2183
Ending Page	2198
Page Count	16
File Format	PDF
ISSN	07232632
Journal	Rock Mechanics and Rock Engineering
Volume Number	47
Issue Number	6
e-ISSN	1434453X
Language	English
Publisher	Springer Vienna
Publisher Date	2013-12-05
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Crack propagation Fluid pressure Rock discontinuous cellular automaton Level set method Partition of unity Stress intensity factor Geophysics/Geodesy Civil Engineering
Content Type	Text
Resource Type	Article
Subject	Geology Geotechnical Engineering and Engineering Geology Civil and Structural Engineering

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