IPACS

IPACS: integrated phase-field advanced crack propagation simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media. In this work, we review and describe our computational framework for solving multiphysics phase-field fracture problems in porous media. Therein, the following five coupled nonlinear physical models are addressed: displacements (geo-mechanics), a phase-field variable to indicate the fracture position, a pressure equation (to describe flow), a proppant concentration equation, and/or a saturation equation for two-phase fracture flow, and finally a finite element crack width problem. The overall coupled problem is solved with a staggered solution approach, known in subsurface modeling as the fixed-stress iteration. A main focus is on physics-based discretizations. Galerkin finite elements are employed for the displacement-phase-field system and the crack width problem. Enriched Galerkin formulations are used for the pressure equation. Further enrichments using entropy-vanishing viscosity are employed for the proppant and/or saturation equations. A robust and efficient quasi-monolithic semi-smooth Newton solver, local mesh adaptivity, and parallel implementations allow for competitive timings in terms of the computational cost. Our framework can treat two- and three-dimensional realistic field and laboratory examples. The resulting program is an in-house code named IPACS (Integrated Phase-field Advanced Crack Propagation Simulator) and is based on the finite element library deal.II. Representative numerical examples are included in this document.


References in zbMATH (referenced in 9 articles , 1 standard article )

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  1. Diehl, Patrick; Lipton, Robert; Wick, Thomas; Tyagi, Mayank: A comparative review of peridynamics and phase-field models for engineering fracture mechanics (2022)
  2. Gläser, Dennis; Schneider, Martin; Flemisch, Bernd; Helmig, Rainer: Comparison of cell- and vertex-centered finite-volume schemes for flow in fractured porous media (2022)
  3. Lee, Sanghyun; Yoon, Hyun Chul; Mallikarjunaiah, S. M.: Finite element simulation of quasi-static tensile fracture In nonlinear strain-limiting solids with the phase-field approach (2022)
  4. Aldakheel, Fadi; Noii, Nima; Wick, Thomas; Wriggers, Peter: A global-local approach for hydraulic phase-field fracture in poroelastic media (2021)
  5. Jammoul, Mohamad; Wheeler, Mary F.; Wick, Thomas: A phase-field multirate scheme with stabilized iterative coupling for pressure driven fracture propagation in porous media (2021)
  6. Lee, Sanghyun; Wheeler, Mary F.: Modeling interactions of natural and two-phase fluid-filled fracture propagation in porous media (2021)
  7. Leng, Yu; de Lucio, Mario; Gomez, Hector: Using poro-elasticity to model the large deformation of tissue during subcutaneous injection (2021)
  8. Noii, Nima; Khodadadian, Amirreza; Wick, Thomas: Bayesian inversion for anisotropic hydraulic phase-field fracture (2021)
  9. Wheeler, Mary F.; Wick, Thomas; Lee, Sanghyun: IPACS: integrated phase-field advanced crack propagation simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media (2020)