/Pionira-Vero

Reference solutions for Fluid-Driven Fractures propagation

Primary LanguageMathematicaGNU General Public License v3.0GPL-3.0

Pionira Vero

Pionira Vero ("Groundbreaking truth" in esperanto) is a repository of reference solutions for Fluid-Driven Fractures propagation - both tensile mode I hydraulic fractures as well as mode II+III fluid-induced frictional ruptures.

This class of multiphysics fracture growth problem are highly non-linear in part due to the moving boundary nature of fracture propagation but also in relation to the stiff coupling between fluid flow and mechanical deformation. A large number of numerical methods have been devised over time, with unfortunately a lack of thorough verification in most cases. This project aims at providing in one place all the existing analytical or semi-analytical solutions for fluid-driven fractures in order to allow numerical modelers to verify the accuracy and robustness of their solutions.

  • Organization of this repo:
    • src/wolfram : mathematica packages containing solutions (.m files)

    • src/python ... it would be nice to also have a src/python containing the solutions in python

    • HF/ folder containing mathematica notebook for examples on how to use the solutions for hydraulic fracture growth