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Non-local formulation for transport and damage in porous media.
- Source :
-
Computer Methods in Applied Mechanics & Engineering . Sep2017, Vol. 324, p654-688. 35p. - Publication Year :
- 2017
-
Abstract
- We present a novel damage-poroelastic model for analyzing the failure response of porous media in geomechanics applications. In this new approach, a gradient non-local permeability that leads to non-local transport and consequently non local damage, is introduced. Damage evolution is a function of an equivalent strain measure that is computed from non-local permeability using an inverse permeability–strain constitutive relation. A monolithic, mixed finite element method is proposed to solve the coupled system with a displacement–pressure–regularized permeability ( u − p − κ ̃ ) element formulation. The system is linearized and solved using Newton’s method and a backward Euler scheme is used to evolve the system in time. A consistent Jacobian matrix and residual vector are derived analytically and a bilinear damage model is used to evolve the damage. Numerical examples considering hydraulic fracture problems in 1-d and 2-d and damage enhanced consolidation are presented and discussed. The proposed non-local model results are compared with local damage–permeability models. While the local models are shown to suffer from mesh dependence and non-physical spurious oscillations in strain, permeability and fluid pressure evolution, the proposed model is reliable and seems to overcome all these limitations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00457825
- Volume :
- 324
- Database :
- Academic Search Index
- Journal :
- Computer Methods in Applied Mechanics & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 124472258
- Full Text :
- https://doi.org/10.1016/j.cma.2017.06.016