Heterogeneous multi-scale methods for two-phase flow in dynamically fracturing porous media (B03)

• Subject Area: Mathematics
• Term: since 2018
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 327154368

The propagation and bifurcation of fractures in fluid-filled porous media depends on the likewise inter-related flow in the pore space and on the mechanical displacement field in the solid matrix. Assuming that fractures cannot be homogenised but persist on a continuum-mechanical scale as sharp time-dependent interfaces, a discrete fracture-network approach is developed. The final task of the project is the construction of a multi-scale model that serves as the basis for numerical simu-lations by a moving mesh ansatz. In particular, the new approach accounts for the dynamical evolu¬tion of fractures and allows to integrate arbitrary flow processes within the fractures.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1313: Interface-Driven Multi-Field Processes in Porous Media - Flow, Transport and Deformation -
• Applicant Institution: Universität Stuttgart
• Project Head: Professor Dr. Christian Rohde