We are pleased to announce that Markus Knodel, post-doctoral researcher at the Université de Pau et des Pays de l'Adour, will give the next SFB 1313 "Pretty Porous Science Lecture". His talk will be on "Global implicit solver for multiphase multicomponent flow in porous media with multiple gas components and general reactions".
Date: Thursday, 6 May 2021
Time: 4:00 pm CET
Speaker: Dr. Markus M. Knodel, Université de Pau et des Pays de l'Adour, France
Lecture title: "Global implicit solver for multiphase multicomponent flow in porous media with multiple gas components and general reactions"*
Place: If you are interested in participating in the lecture, please contact katharina.heck@iws.uni-stuttgart.de
Abstract
In order to study the efficacy of mineral trapping scenarios for CO2 storage behaviour in deep layers, demanding highly nonlinear coupled diffusion-advection-reaction partial differential equations (PDEs) have to be solved. The geochemistry includes both general kinetic and equilibrium reactions. Realistic scenarios further ask to simulate the inflow of various gases into the deep layers. We solve the multiphase multicomponent flow equations by means of the fully globally implicit PDE reduction method developed by Kräutle and Knabner (KKPRM) for the case of an arbitrary number of species in gaseous phase. The Finite Element discretized / Finite Volume stabilized equations are split into a local and a global system coupled by the resolution function and evaluated with the aid of a semismooth nested Newton solver. Our methods are implemented within the software RichyM++. We present realistic scenarios of gas injection into deep layers and study the mineral trapping effects of the storage technique. Finally, the KKPRM can be applied to e.g. oil recovery and nuclear waste storage.
Literature
M.M. Knodel, S. Kräutle, P. Knabner: Global implicit solver for multiphase multicomponent flow in porous media with multiple gas phases and general reactions. In: Finite Volumes for Complex Applications IX - Volume I and Volume II; FVCA 9, Bergen, Norway, June 15-19, 2020. Editors: R. Klöfkorn, E. Keilegavlen, A. F. Radu, J. Fuhrmann. Springer Proceedings in Mathematics and Statistics.
Brunner F., Knabner P.: A global implicit solver for miscible reactive multiphase multicomponent flow in porous media.
Computational Geosciences 23 (2019).
Kräutle, S., Knabner, P.: A reduction scheme for coupled multicomponent transport-reaction problems in porous media: Generalization to problems with heterogeneous equilibrium reactions, Water Resour. Res., 43, W03429, 2007.
--------------------
Notes
The work which gets presented was performed at the Chair AM1 of Peter Knabner at the University Erlangen-Nürnberg between 2018 and 2020.
