Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity |
| |
| Affiliation: | 1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China;2. Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China;3. University of Chinese Academy of Sciences, Beijing 100049, China;1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China;2. Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China;1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China;2. Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China;3. University of Chinese Academy of Sciences, Beijing 100049, China;1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China;2. Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, China;3. University of Chinese Academy of Sciences, Beijing 100049, China;1. Key Laboratory of Urban Security and Disaster Engineering (Beijing University of Technology), Ministry of Education, Beijing 100124, China;2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China;3. College of Engineering & Information Technology, University of Chinese Academy of Sciences, Beijing 100120, China |
| |
| Abstract: | Based on the three-variable Biot model, a numerical manifold model is presented to investigate dynamic responses of the fractured poroelasticity, especially the interaction between hydro-mechanical wave and fracture. The most flexible 3-node triangular mesh serves as the mathematical cover (MC) of the present model regardless of the problem types, shunning difficulties in qualified mesh generation. Continuous nodal gradients and Kronecker-delta property are achieved for the global approximations by constructing the local approximations with a constrained and orthonormalized least square (CO-LS) scheme, presenting more precise effective stress fields and more convenience in implementing boundary conditions for both solid and fluid phases. Incorporating a stick-slip frictional contact model via the augmented Lagrange multiplier method, the present model is capable of accurately predicting the contact phenomenon in fractured poroelasticity. In terms of the energy balance condition, precision and stability of the proposed model in time integration are verified. Fractured porous media involved multiple cracks can be addressed more naturally and conveniently with the present model relative to extended finite element method (XFEM) and phantom node method (PNM). By solving a set of typical porous media problems, the superiority, accuracy and robustness of the present model are verified. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
