Roland Masson
Polytopal nodal discretisation of mixed dimensional poro-mechanical models in geological media, application to fault reactivation and induced seismicity abstract
Abstract:
Subsurface resources—such as deep geothermal energy, underground hydrogen storage, and geological CO₂ sequestration—are key pillars of the energy transition and sustainable development. However, fluid injection and extraction alter the pressure and stress state of the surrounding rock, potentially triggering fault reactivation and induced seismicity. Predicting and mitigating these risks is therefore essential for the safe and sustainable use of the subsurface.In this context, numerical simulation provides a powerful framework for understanding, predicting, and managing such coupled processes. The proposed model integrates Darcian fluid flow in both the porous matrix and fault network, poroelastic deformation of the surrounding rock, and frictional contact along faults. A key feature is the incorporation of dynamic friction governed by rate-and-state laws, in which the friction coefficient depends on slip velocity and an evolving state variable.We present a polytopal discretization approach for simulating these coupled processes, explicitly accounting for fault networks and rate-and-state friction behavior. The contact mechanics formulation relies on a mixed approach combining the Virtual Element Method with bubble stabilization and a face-wise constant approximation of tractions. Time integration is fully implicit, with adaptive time stepping and tailored block preconditioners that exploit the structure of the discrete contact problem. Fluid flow in the mixed-dimensional setting is discretized using a conservative Hybrid Finite Volume scheme, while poromechanical coupling is handled through iterative algorithms.The methodology is demonstrated on a fault reactivation scenario relevant to CO₂ sequestration, highlighting its capability to capture the interplay between fluid flow, deformation, and fault slip.
14:00 • Université de Genève, Conseil Général 7-9, Room 1-05
Claudio Onorati (Bologna)
Birational automorphism groups in families of hyper-Kähler manifolds abstract
Abstract:
Given a non-trivial polarised family of hyper-Kähler manifolds, we study the behavior of the groups of birational transformations of the members of the family. We prove that, at least when the members belong to one of the known deformation classes, there always exists an open and dense subset on the base, where this group is infinite for any member in this subset. This is a joint work with F. Denisi, F. Rizzo and S. Viktorova.
14:15 • EPF Lausanne, CM 1 517
Dr. Clara Torres-Latorre (ICMAT (Madrid))
A Pohozaev identity for the Spectral Fractional Laplacian abstract
Abstract:
Pohozaev identities are conservation laws arising from the symmetries ofcertain operators. Their most classical example, which gives name tothem, is an integration by parts identity that exploits the translationand dilation invariances of the Laplacian, with notable applications innonexistence results for semilinear equations.In this work, we use a novel spectral approach to prove a Pohozaev-typeidentity for the Spectral Fractional Laplacian, an operator withouttranslation and dilation invariances defined as the spectral power ofthe Dirichlet Laplacian on a domain, and we deduce nonexistence resultsfor certain semilinear equations.This is a joint work with Itahisa Barrios-Cubas, María del Mar González,and Matteo Bonforte (Universidad Autónoma de Madrid).
15:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43