Details
| Original language | English |
|---|---|
| Pages (from-to) | 169-198 |
| Number of pages | 30 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 350 |
| Early online date | 13 Mar 2019 |
| Publication status | Published - 15 Jun 2019 |
Abstract
A phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium while arbitrary crack growth is naturally captured by the phase field model. We also account for the transition of the fluid property from the intact medium to the fully broken one by employing indicator functions. We employ a staggered scheme and implement our approach into the software package COMSOL Multiphysics. Our approach is first verified through three classical benchmark problems which are compared to analytical solutions for dynamic consolidation and pressure distribution in a single crack and in a specimen with two sets of joints. Subsequently, we present several 2D and 3D examples of dynamic crack branching and their interaction with pre-existing natural fractures. All presented examples demonstrate the capability of the proposed approach of handling dynamic crack propagation, branching and coalescence of fluid-driven fracture.
Keywords
- COMSOL, Dynamic crack, Hydraulic fractures, Phase field, Poroelasticity
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 350, 15.06.2019, p. 169-198.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Phase-field modeling of fluid-driven dynamic cracking in porous media
AU - Zhou, Shuwei
AU - Zhuang, Xiaoying
AU - Rabczuk, Timon
N1 - Funding information: The financial support provided by the Sino-German (CSC-DAAD) Postdoc Scholarship Program 2016 , the Natural Science Foundation of China ( 51474157 ), and RISE-project BESTOFRAC ( 734370 ) is gratefully acknowledged.
PY - 2019/6/15
Y1 - 2019/6/15
N2 - A phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium while arbitrary crack growth is naturally captured by the phase field model. We also account for the transition of the fluid property from the intact medium to the fully broken one by employing indicator functions. We employ a staggered scheme and implement our approach into the software package COMSOL Multiphysics. Our approach is first verified through three classical benchmark problems which are compared to analytical solutions for dynamic consolidation and pressure distribution in a single crack and in a specimen with two sets of joints. Subsequently, we present several 2D and 3D examples of dynamic crack branching and their interaction with pre-existing natural fractures. All presented examples demonstrate the capability of the proposed approach of handling dynamic crack propagation, branching and coalescence of fluid-driven fracture.
AB - A phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium while arbitrary crack growth is naturally captured by the phase field model. We also account for the transition of the fluid property from the intact medium to the fully broken one by employing indicator functions. We employ a staggered scheme and implement our approach into the software package COMSOL Multiphysics. Our approach is first verified through three classical benchmark problems which are compared to analytical solutions for dynamic consolidation and pressure distribution in a single crack and in a specimen with two sets of joints. Subsequently, we present several 2D and 3D examples of dynamic crack branching and their interaction with pre-existing natural fractures. All presented examples demonstrate the capability of the proposed approach of handling dynamic crack propagation, branching and coalescence of fluid-driven fracture.
KW - COMSOL
KW - Dynamic crack
KW - Hydraulic fractures
KW - Phase field
KW - Poroelasticity
UR - http://www.scopus.com/inward/record.url?scp=85063082334&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2019.03.001
DO - 10.1016/j.cma.2019.03.001
M3 - Article
AN - SCOPUS:85063082334
VL - 350
SP - 169
EP - 198
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -