5 papers
Structure exploiting methods for fast uncertainty quantification in multiphase flow through heterogeneous media
Helen Cleaves, Alen Alexanderian, Bilal Saad
We present a computational framework for dimension reduction and surrogate modeling to accelerate uncertainty quantification in computationally intensive models with high-dimension…
Probabilistic modeling and global sensitivity analysis for storage in geological formations: a spectral approach
Bilal Saad, Alen Alexanderian, Serge Prudhomme +1
This work focuses on the simulation of storage in deep underground formations under uncertainty and seeks to understand the impact of uncertainties in reservoir properties o…
A combined finite volume--nonconforming finite element scheme for compressible two phase flow in porous media
Bilal Saad, Mazen Saad
We propose and analyze a combined finite volume--nonconforming finite element scheme on general meshes to simulate the two compressible phase flow in porous media. The diffusion te…
Study of full implicit petroleum engineering finite volume scheme for compressible two phase flow in porous media
Bilal Saad, Mazen Saad
An industrial scheme, to simulate the two compressible phase flow in porous media, consists in a finite volume method together with a phase-by-phase upstream scheme. The implicit f…
Study of degenerate parabolic system modeling the hydrogen displacement in a nuclear waste repository
Florian Caro, Bilal Saad, Mazen Saad
Our goal is the mathematical analysis of a two phase (liquid and gas) two components (water and hydrogen) system modeling the hydrogen displacement in a storage site for radioactiv…