Drained Solution for Elastoplastic Stress of Compressible Matrix around a Growing Poroelastic Inhomogeneity Inclusion
Publication: Journal of Engineering Mechanics
Volume 150, Issue 10
Abstract
An analytical solution is presented for spherically symmetric growth of a fluid-saturated, poroelastic inhomogeneity inclusion embedded within a compressible elastoplastic matrix. A fluid source at the center causes the inclusion growth. The solution considers full poroelastic coupling of the inclusion pore fluid flow and solid phase deformation while solving for large deformation of the matrix via incremental elastoplasticity with associated flow rule and modified Mohr-Coulomb or Drucker-Prager yield models. Results obtained from the compressible (drained) solution are compared against the previously published solution pertaining to incompressible (undrained) matrix. Drained deformation is found to generally cause larger deviatoric stress, less compressive radial and hoop stresses, as well as faster growth of the plastic region, in the matrix. An example case study shows that compared with the undrained case, the drained matrix reaches the same elastoplastic strain with substantially smaller volume of injected fluid inside the embedded inclusion. The solution may be used as a proxy model of caprock integrity problem in geo-sequestration applications and further as a rigorous benchmark to verify the related numerical solvers.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 150 • Issue 10 • October 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Nov 2, 2023
Accepted: May 13, 2024
Published online: Jul 24, 2024
Published in print: Oct 1, 2024
Discussion open until: Dec 24, 2024
ASCE Technical Topics:
- Compression
- Continuum mechanics
- Deformation (mechanics)
- Diversity, equity, inclusion, and accessibility (DEIA)
- Drainage
- Dynamics (solid mechanics)
- Elasticity and Inelasticity
- Elastoplasticity
- Engineering fundamentals
- Engineering mechanics
- Flow (fluid dynamics)
- Fluid dynamics
- Fluid flow
- Fluid mechanics
- Hydraulic engineering
- Hydrologic engineering
- Hysteresis
- Irrigation engineering
- Material mechanics
- Material properties
- Materials characterization
- Materials engineering
- Mathematical functions
- Mathematics
- Matrix (mathematics)
- Mechanical properties
- Poroelasticity
- Rheology
- Solid mechanics
- Structural dynamics
- Structural engineering
- Structural mechanics
- Thermoelasticity
- Water and water resources
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