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

Alex Hardcastle, Mohaddeseh Mousavi Nezhad, Mohammad Rezania, Walid Tizani, P. G. Ranjith

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)


A computational framework for modeling hydraulic fracture on the basis of combining continuum porous media and damage theories is presented. 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 modeling 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 modeled 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 discretized and solved using a 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 analyzing hydraulic driven fracture process and the associated permeability variations.

Original languageEnglish
Pages (from-to)939-956
Number of pages18
JournalJournal of Porous Media
Issue number8
Publication statusPublished - 2019


  • Continuum damage modeling
  • Dual porous media
  • Geoenergy
  • Hydraulic fracture

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