[Séminaire] Massimiliano Ferronato ‘Non-linear numerical models for frictional contact mechanics and flow in fractured porous media’

 

 

Titre : Non-linear numerical models for frictional contact mechanics and flow in fractured porous media

Résumé:

The simultaneous simulation of frictional contact mechanics and fluid flow in fractured geological media is a tightly coupled physical process and a key component in the design of sustainable technologies for several subsurface applications, such as geothermal energy production, CO2 sequestration and underground gas storage. Typically, the aperture and slippage between the contact surfaces drive the fluid flow in the fractures, while the pressure variation perturbs the stress state in the surrounding medium and influences the contact mechanics itself. This usually produces a stiff non-linear problem associated with a series of generalized saddle-point linear systems, whose solution is often hard to obtain efficiently.
In this work, we present on a blended finite element/finite volume method, where the porous medium is discretized by low-order continuous finite elements with nodal unknowns, cell-centered Lagrange multipliers with a stabilization are used to prescribe the contact constraints, and the fluid flow in the fractures is described by a classical two-point flux approximation scheme. A class of scalable preconditioning strategies based on the physically-informed block partitioning of the unknowns and state-of-the-art multigrid techniques is developed for the robust and efficient solution to the resulting sequence of linear systems with the Jacobian matrix. A set of numerical results concerning fractured porous media applications illustrate the robustness of the proposed approach, its algorithmic scalability, and the computational performance on large-size realistic problems. Applications of this model include the prediction of ground rupture generation due to aquifer over-exploitation in arid and semi-arid regions and the simulation of fault inception during mining operations in underground gas storage sites.