4 papers
Efficient Solvers for Nonstandard Models for Flow and Transport in Unsaturated Porous Media
Davide Illiano, Jakub Wiktor Both, Iuliu Sorin Pop +1
We study several iterative methods for fully coupled flow and reactive transport in porous media. The resulting mathematical model is a coupled, nonlinear evolution system. The flo…
Iterative splitting schemes for a soft material poromechanics model
Jakub W. Both, Nicolas A. Barnafi, Florin A. Radu +2
We address numerical solvers for a poromechanics model particularly adapted for soft materials, as it generally respects thermodynamics principles and energy balance. Considering t…
Global existence of a weak solution to unsaturated poroelasticity
Jakub Wiktor Both, Iuliu Sorin Pop, Ivan Yotov
In this paper, we consider unsaturated poroelasticity, i.e., coupled hydro-mechanical processes in unsaturated porous media, modeled by a non-linear extension of Biot's quasi-stati…
The gradient flow structures of thermo-poro-visco-elastic processes in porous media
Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten +1
In this paper, the inherent gradient flow structures of thermo-poro-visco-elastic processes in porous media are examined for the first time. In the first part, a modelling framewor…