0587685 - ÚGN 2025 RIV GB eng J - Journal Article
Stebel, J. - Kružík, Jakub - Horák, David - Březina, J. - Beres, Michal
On the parallel solution of hydro-mechanical problems with fracture networks and contact conditions.
Computers and Structures. Roč. 298, July 2024 (2024), č. článku 107339. ISSN 0045-7949. E-ISSN 1879-2243
EU Projects: European Commission(XE) 847593 - EURAD
Institutional support: RVO:68145535
Keywords : rock hydro-mechanics * discrete fracture network * contact problems * finite element method
OECD category: Civil engineering
Impact factor: 4.4, year: 2023 ; AIS: 1.074, rok: 2023
Method of publishing: Open access
Result website:
https://doi.org/10.1016/j.compstruc.2024.107339DOI: https://doi.org/10.1016/j.compstruc.2024.107339

The paper presents a numerical method for simulating flow and mechanics in fractured rock. The governing equations that couple the effects in the rock mass and in the fractures are obtained using the discrete fracturematrix approach. The fracture flow is driven by the cubic law, and the contact conditions prevent fractures from selfpenetration. A stable finite element discretization is proposed for the displacementpressureflux formulation. The resulting nonlinear algebraic system of equations and inequalities is decoupled using a robust iterative splitting into the linearized flow subproblem, and the quadratic programming problem for the mechanical part. The nonpenetration conditions are solved by means of dualization and an optimal quadratic programming algorithm. The capability of the numerical scheme is demonstrated on a benchmark problem for tunnel excavation with hundreds of fractures in 3D. The paper's novelty consists in a combination of three crucial ingredients: (i) application of discrete fracturematrix approach to poroelasticity, (ii) robust iterative splitting of resulting nonlinear algebraic system working for realworld 3D problems, and (iii) efficient solution of its mechanical quadratic programming part with a large number of fractures in mutual contact by means of own solvers implemented into an in-house software library.
Permanent Link: https://hdl.handle.net/11104/0360905