74 citations · 75 across the 4 of their papers we have counts for
3 papers · 1 filter
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…
A Singularity Removal Method for Coupled 1D-3D Flow Models
Ingeborg G. Gjerde, Kundan Kumar, Jan M. Nordbotten
In reservoir simulations, the radius of a well is inevitably going to be small compared to the horizontal length scale of the reservoir. For this reason, wells are typically modell…
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem
Kundan Kumar, Svetlana Kyas, Jan Nordbotten +1
The paper is concerned with guaranteed a posteriori error estimates for a class of evolutionary problems related to poroelastic media governed by the quasi-static linear Biot equat…