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Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity

文献类型：期刊论文

作者Wu, Wenan1,2; Yang, Yongtao1; Zheng, Hong3
刊名APPLIED MATHEMATICAL MODELLING
出版日期2020-10-01
卷号86页码:225-258
关键词Fully dynamic (u-w-p) biot formulation Numerical manifold method Cracked porous media Continuous nodal gradients Wave propagation
ISSN号0307-904X
DOI10.1016/j.apm.2020.03.044
英文摘要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 Kroneckerdelta 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. (C) 2020 Elsevier Inc. All rights reserved.
资助项目National Natural Science Foundation of China[11,172,313] ; National Natural Science Foundation of China[51,538,001]
WOS研究方向Engineering ; Mathematics ; Mechanics
语种英语
WOS记录号WOS:000544223600012
出版者ELSEVIER SCIENCE INC
源URL[http://119.78.100.198/handle/2S6PX9GI/24513]  
专题中科院武汉岩土力学所
通讯作者Yang, Yongtao
作者单位1.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
3.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
推荐引用方式
GB/T 7714		 Wu, Wenan,Yang, Yongtao,Zheng, Hong. Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity[J]. APPLIED MATHEMATICAL MODELLING,2020,86:225-258.
APA Wu, Wenan,Yang, Yongtao,&Zheng, Hong.(2020).Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity.APPLIED MATHEMATICAL MODELLING,86,225-258.
MLA Wu, Wenan,et al."Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity".APPLIED MATHEMATICAL MODELLING 86(2020):225-258.

入库方式： OAI收割

来源：武汉岩土力学研究所

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