263 citations · 936 across the 46 of their papers we have counts for
12 papers · 1 filter
On the optimization of the fixed-stress splitting for Biot's equations
Erlend Storvik, Jakub Wiktor Both, Kundan Kumar +2
In this work we are interested in effectively solving the quasi-static, linear Biot model for poromechanics. We consider the fixed-stress splitting scheme, which is a popular metho…
An upscaled model for permeable biofilm in a thin channel and tube
David Landa-Marbán, Gunhild Bødtker, Kundan Kumar +2
In this paper, we derive upscaled equations for modelling biofilm growth in porous media. The resulting macro-scale mathematical models consider permeable multi-species biofilm inc…
A pore-scale model for permeable biofilm: numerical simulations and laboratory experiments
David Landa-Marbán, Na Liu, Iuliu Sorin Pop +5
In this paper we derive a pore-scale model for permeable biofilm formation in a two-dimensional pore. The pore is divided in two phases: water and biofilm. The biofilm is assumed t…
Upscaling of unsaturated flow in fractured porous media
Florian List, Kundan Kumar, Iuliu Sorin Pop +1
In this work, we consider a mathematical model for flow in a unsaturated porous medium containing a fracture. In all subdomains (the fracture and the adjacent matrix blocks) the fl…
Microfluidic study of effects of flow velocity and nutrient concentration on biofilm accumulation and adhesive strength in a microchannel
Na Liu, Tormod Skauge, David Landa-Marban +6
Biofilm accumulation in the porous media can cause plugging and change many physical properties of porous media. Targeted bioplugging may have significant applications for industri…
Well-posedness of the fully coupled quasi-static thermo-poro-elastic equations with nonlinear convective transport
Mats K. Brun, Elyes Ahmed, Florin A. Radu +1
This paper is concerned with the analysis of the quasi-static thermo-poroelastic model. This model is nonlinear and includes thermal effects compared to the classical quasi-static…
Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media
Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten +1
In this paper, we study the robust linearization of nonlinear poromechanics of unsaturated materials. The model of interest couples the Richards equation with linear elasticity equ…
A Non-standard Model for Microbial Enhanced Oil Recovery Including the Oil-water Interfacial Area
David Landa-Marbán, Florin A. Radu, Jan M. Nordbotten
In this work we present a non-standard model for microbial enhanced oil recovery including the oil-water interfacial area. Including the interfacial area in the model, we eliminate…
Numerical simulation of biofilm formation in a microchannel
David Landa-Marbán, Iuliu S. Pop, Kundan Kumar +1
The focus of this paper is the numerical solution of a pore-scale model for the growth of a permeable biofilm. The model includes water flux inside the biofilm, different biofilm c…
Post-processed Galerkin approximation of improved order for wave equations
Markus Bause, Uwe Köcher, Florin A. Radu +1
We introduce and analyze a post-processing for a family of variational space-time approximations to wave problems. The discretization in space and time is based on continuous finit…
Transport of polymer particles in a oil-water flow in porous media: enhancing oil recovery
Max A. Endo Kokubun, Florin A. Radu, Eirik Keilegavlen +2
We study a heuristic, core-scale model for the transport of polymer particles in a two phase (oil and water) porous medium. We are motivated by recent experimental observations whi…
Linear iterative schemes for doubly degenerate parabolic equations
Jakub W. Both, Kundan Kumar, Jan M. Nordbotten +2
Mathematical models for flow and reactive transport in porous media often involve non-linear, degenerate parabolic equations. Their solutions have low regularity, and therefore low…