Phase field modeling of precipitation and dissolution processes in porous media: Upscaling and numerical experiments
We consider a model for precipitation and dissolution in a porous medium, where ions
transported by a fluid through the pores can precipitate at the pore walls and form mineral …
transported by a fluid through the pores can precipitate at the pore walls and form mineral …
Efficiency and Accuracy of Micro‐Macro Models for Mineral Dissolution
S Gärttner, P Frolkovič, P Knabner… - Water Resources …, 2020 - Wiley Online Library
Micro‐macro models for dissolution processes are derived from detailed pore‐scale models
applying upscaling techniques. They consist of flow and transport equations at the scale of …
applying upscaling techniques. They consist of flow and transport equations at the scale of …
Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions
We consider a reaction-diffusion-advection problem in a perforated medium, with nonlinear
reactions in the bulk and at the microscopic boundary, and slow diffusion scaling. The …
reactions in the bulk and at the microscopic boundary, and slow diffusion scaling. The …
Old and new approaches predicting the diffusion in porous media
An accurate quantitative description of the diffusion coefficient in a porous medium is
essential for predictive transport modeling. Well-established relations, such as proposed by …
essential for predictive transport modeling. Well-established relations, such as proposed by …
Homogenization of a mineral dissolution and precipitation model involving free boundaries at the micro scale
In this work we present the homogenization of a reaction-diffusion model that includes an
evolving microstructure. Such type of problems model, for example, mineral dissolution and …
evolving microstructure. Such type of problems model, for example, mineral dissolution and …
Numerical investigation of a fully coupled micro-macro model for mineral dissolution and precipitation
N Ray, J Oberlander, P Frolkovic - Computational Geosciences, 2019 - Springer
Mineral dissolution and precipitation alter a porous medium's structure and its bulk
properties. Due to the medium's heterogeneity and lack in dynamic pore-scale …
properties. Due to the medium's heterogeneity and lack in dynamic pore-scale …
Efficiency of micro-macro models for reactive two-mineral systems
In this paper, we introduce a pore-scale model for reactive flow and transport in evolving
porous media exhibiting two competing mineral phases. By formal two-scale asymptotic …
porous media exhibiting two competing mineral phases. By formal two-scale asymptotic …
A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media
Mineral precipitation and dissolution processes in a porous medium can alter the structure of
the medium at the scale of pores. Such changes make numerical simulations a challenging …
the medium at the scale of pores. Such changes make numerical simulations a challenging …
Homogenisation of local colloid evolution induced by reaction and diffusion
D Wiedemann, MA Peter - Nonlinear Analysis, 2023 - Elsevier
We consider the homogenisation of a coupled reaction–diffusion process in a porous
medium with evolving microstructure. A concentration-dependent reaction rate at the …
medium with evolving microstructure. A concentration-dependent reaction rate at the …
Derivation and analysis of an effective model for biofilm growth in evolving porous media
R Schulz, P Knabner - Mathematical Methods in the Applied …, 2017 - Wiley Online Library
The present article deals with the growth of biofilms produced by bacteria within a saturated
porous medium. Starting from the pore‐scale, the process is essentially described by …
porous medium. Starting from the pore‐scale, the process is essentially described by …