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UID:8909@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260120T110000
DTEND;TZID=Europe/Paris:20260120T120000
DTSTAMP:20260119T103424Z
URL:https://www.i2m.univ-amu.fr/evenements/seminaire-aa-tba-3/
SUMMARY:Maxime Jonval (Université Côte d'Azur): Séminaire AA -- Iterativ
 e Coupling Algorithms For Mixed-Dimensionnal Poromechanical Models In Faul
 ted Geological Systems
DESCRIPTION:Maxime Jonval: Coupled poromechanical models are essential to a
 ssess risks in applications such as geothermal energy production and CO₂
  sequestration\, where fault reactivation may trigger leakage or induced s
 eismicity. These models simulate complex interactions between multiphase f
 luid flow\, rock deformation\, and fault mechanics. Their numerical implem
 entation is challenging due to geological heterogeneity\, complex geometri
 es\, and strong multiphysics couplings.\n\nThis talk focuses on iterative 
 splitting schemes for a mixed‑dimensional poromechanical model with embe
 dded fractures. In a frictionless regime\, where fracture slip may occur b
 ut does not introduce additional nonlinear frictional effects\, the contac
 t mechanics reduces to a linear problem and the corresponding fixed‑poin
 t map can be shown to be a contraction when the stabilization parameters a
 re optimally chosen\, yielding robust and efficiently convergent iteration
 s. When friction is taken into account along the fracture\, however\, the 
 contact problem becomes nonlinear and only semi‑smooth\, and the same sp
 litting may stagnate or fail to converge.\n\nTo address this difficulty\, 
 we combine two ingredients: (i) an adaptive strategy that updates the stab
 ilization so as to track\, in a cheap way\, the evolving Schur complement 
 of the nonlinear mechanics\; and (ii) Anderson acceleration applied to the
  fixed‑point iteration. Numerical experiments show that these approaches
  improve robustness in the nonlinear frictional slip regime and significan
 tly reduce the number of fixed-point iterations.
CATEGORIES:Séminaire,Analyse Appliquée
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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