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A fully coupled computational framework for fluid pressurised crack evolution in porous media

Hardcastle, Alexander; Mousavi Nezhad, Mohaddeseh; Rezania, Mohammad; Tizani, Walid; Gamage Ranjith, Pathegama

Authors

Alexander Hardcastle

Mohaddeseh Mousavi Nezhad

Mohammad Rezania

Pathegama Gamage Ranjith



Abstract

This paper presents a computational framework for modelling hydraulic fracture on the basis of combining continuum porous media and damage theories. By considering the continuum as two separate domains of damaged and intact porous domains, model components are isolated and considered separately. This simplifies the whole modelling approach. The mathematical model used consists of a set of coupled partial differential equations in continuum space that govern compressible flow in damaged and intact porous media, mechanical deformation of the domains and damage evolution. We particularly focus on the flow of fluid within the intact and damaged porous zones. The porous domain typically has a lower permeability than the fractured zone, therefore a more complicated flow of fluid is expected within the damage zone. To model the exchange of fluid in the interface of damage zone and intact porous domain, a double permeability concept has been utilized. The evolution of cracks is modelled using Francfort and Marigo’s variational theory which approximates the fracture by a diffusive damage zone using a phase field variable. The governing model equations are discretised and solved using finite element method. The framework capabilities are verified using experimental data from a one dimensional consolidation test and a plane stress pressured penny crack benchmark example. The framework performance highlights its capabilities in analysing hydraulic driven fracture process and the associated permeability variations.

Citation

Hardcastle, A., Mousavi Nezhad, M., Rezania, M., Tizani, W., & Gamage Ranjith, P. (2019). A fully coupled computational framework for fluid pressurised crack evolution in porous media. Journal of Porous Media, 22(8), 939-956. https://doi.org/10.1615/jpormedia.2019025665

Journal Article Type Article
Acceptance Date Jun 18, 2018
Publication Date 2019
Deposit Date Jul 16, 2019
Publicly Available Date Jan 1, 2021
Journal Journal of Porous Media
Print ISSN 1091-028X
Electronic ISSN 1934-0508
Publisher Begell House
Peer Reviewed Peer Reviewed
Volume 22
Issue 8
Pages 939-956
DOI https://doi.org/10.1615/jpormedia.2019025665
Keywords Mechanical Engineering; Modelling and Simulation; General Materials Science; Mechanics of Materials; Condensed Matter Physics; Biomedical Engineering
Public URL https://nottingham-repository.worktribe.com/output/2312714
Related Public URLs http://dl.begellhouse.com/journals/49dcde6d4c0809db,forthcoming,25665.html