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Computational Mathematics


Computational Mathematics

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CARINA BRINGEDAL

Dr. Carina BRINGEDAL

I have moved to University of Stuttgart. I am Junior Professor at SimTech, at the Institute for Modeling Hydraulic and Environmental Systems.


You can reach me at carina.bringedal@iws.uni-stuttgart.de

 


My research concerns porous media flow, focusing on coupled heat transfer and reactive flow problems over multiple scales. I am part of the DynScale project.

Heat transport in the subsurface is motivated by production of geothermal energy. Density currents in the groundwater can affect the heat production: As one creates a temperature difference in the ground by extracting heat, density driven currents can initiate as colder groundwater is heavier and flow downwards, while warmer groundwater flow upwards. This redistribution of heat can affect how much heat the well can produce.
I also take into account how geochemical reactions (caused by the temperature change) in the subsurface can affect the reservoir, and develop better models to describe these changes. Here, the geochemical reactions can change the pore geometry through mineral precipitation and dissolution, and potentially block flow paths through clogging. Such problems are challenging as processes at the pore scale (typically, micrometers) affect the behavior at the larger scale (up to kilometers), and efficient models honoring the pore scale behavior is needed.

My current research focuses on two-phase flow, where water and gas (e.g., air, vapor, CO2) or oil both flow through the porous medium. This is relevant for CO2-sequestration, geothermal energy and oil production. The interface between the two phases affects their behavior, including how they flow through the porous medium. Hence, understanding the processes at the pore scale is essential to understand the large-scale behavior.

I have previously worked with ocean currents in the North-Atlantic. More specific, how currents across the Greenland-Scotland ridge are affected by wind. These currents are important for the climate in northwestern Europe as warm waters are brought northwards (by the extended Gulf Stream) in the surface and cold waters are returned at depth. Measurements of these currents show a rich behavior on seasonal and interannual time scales, and measurements taken more than 1000km away from each other show similar coherence. Such a behavior – and coherence – is likely affected by large atmospheric signals and we found how the wind systems over the Nordic Seas could be the cause of the observed variability on seasonal time scales. On interannual time scales the density changes of the deep waters in the Nordic Seas become more important.

Personal

Born November 10, 1987 in Haugesund, Norway.
Languages: Norwegian, English, German

Work and education

2017 – present: Postdoctoral researcher at Hasselt University: Mathematical models for porous media
2016 – 2017: Postdoctoral reseacher at University of Bergen: Climate Dynamics
2011 – 2016: Ph.D.-candidate at University of Bergen: Applied and Computational Mathematics
2006 – 2011: Bachelor and Master studies at University of Bergen: Applied and Computational Mathematics

 

List of publications 

Refereed journal publications and submitted work:

  1. S.B. Lunowa, C. Bringedal, I.S. Pop, On an averaged model for immiscible two-phase flow with surface tension and dynamic contact angle in a thin strip, Stud. Appl. Math. Vol. 147 (2021), pp. 84-126 (see also CMAT Report UP-20-06). 
  2. M. Bastidas Olivares, C. Bringedal, I.S. Pop, A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous mediaAppl. Math. ComputVol. 396 (2021), 125933 (see also CMAT Report UP-20-05,).
  3. M. Bastidas Olivares, C. Bringedal, I.S. Pop, F.A. Radu, Numerical homogenization of non-linear parabolic problems on adaptive meshesJ. Comput. Phys.  Vol. 425 (2021), 109903 (see also CMAT Report UP-19-04).  
  4. S. Sharmin, C. Bringedal, I.S. Pop, On upscaling pore-scale models for two-phase flow with evolving interfaces, Adv. Water Res. Vol. 142 (2020), 103646, (see also CMAT Report UP-20-01).
  5. C. Bringedal, L. von Wolff, I.S. Pop, Phase field modeling of precipitation and dissolution processes in porous media: Upscaling and numerical experimentsMultiscale Model. Simul. Vol. 18 (2020), pp. 1076-1112 (see also CMAT Report UP-19-01, Hasselt University).
  6. C. Bringedal, T. Eldevik, Ø. Skagseth, M. A. Spall, S. Østerhus, Structure and forcing of observed exchanges across the Greenland-Scotland Ridge, Journal of Climate 31 (24), pp. 9881-9901.
  7. C. Bringedal, K. Kumar, Effective behavior near clogging in upscaled equations for non-isothermal reactive porous media flow, Transport in Porous Media 120 (2018), pp. 553-577 (also see Hasselt University CMAT Report UP-17-10). 
  8. C. Bringedal, I. Berre, I.S. Pop, F.A. Radu, Upscaling of non-isothermal reactive porous media flow under dominant Péclet number: the effect of changing porosity, SIAM Multiscale Modeling & Simulations 14 (2016), pp. 502–533; full text available here.
  9. C. Bringedal, I. Berre, I.S. Pop, F.A. Radu, Upscaling of non-isothermal reactive porous media flow with changing porosity, Transport in Porous Media 114 (2016), pp. 371–393.
  10. C. Bringedal, I. Berre, I.S. Pop, F.A. Radu, A model for non-isothermal flow and mineral precipitation and dissolution in a thin strip, Journal of Computational and Applied Mathematics 289 (2015), pp 346–355.
  11. C. Bringedal, I. Berre, J. M. Nordbotten, Influence of natural convection in a porous medium when producing from borehole heat exchangers, Water Resources Research 49 (2013); full text available here.
  12. C. Bringedal, I. Berre, J.M. Nordbotten, D.A.S. Rees, Linear and nonlinear convection in porous media between coaxial cylinders, Physics of Fluids 23 (2011); full text available here.

Book contributions and proceedings:

  1. M. Bastidas, C. Bringedal, I.S. Pop, Numerical simulation of a phase-field model for reactive transport in porous media, in Numerical Mathematics and Advanced Applications - ENUMATH 2019, Lecture Notes in Computational Science and Engineering, Vol. 139, Springer International, 2021, pp. 93-102 (see also CMAT Report UP-20-02, Hasselt University). 
  2. C. Bringedal, A conservative phase-field model for reactive transport, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, Springer Proceedings in Mathematics & Statistics, Vol. 323, Springer International Publishing, pp. 537-545 (see also CMAT Report UP-19-17, Hasselt University). 
  3. C. Bringedal, I. Berre, F.A. Radu, An approach for Investigation of Geochemical Rock-Fluid Interactions, Thirty-Ninth Workshop on Geothermal Reservoir Engineering, Stanford University, 2014; full text available here.
  4. C. Bringedal, I. Berre, J.M. Nordbotten, Influence of Convection on Production from Borehole Heat Exchangers, Thirty-Eight Workshop on Geothermal Reservoir Engineering, Stanford University, 2013. 

Theses:

  1. Modeling of heat transfer in porous media in the context of geothermal energy extraction, ISBN: 978-82-308-3483-1, Ph.D. thesis, University of Bergen, 2015; full text available here
  2. Linear and Nonlinear Convection in Porous Media between Coaxial Cylinders, Master thesis, University of Bergen, 2011; full text available here.

Reports:

Hasselt University, CMAT Reports

  1. S. Sharmin, M. Bastidas, C. Bringedal, I.S. Pop, Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects, Dynamic effects during the capillary rise of fluids in cylindrical tubes, CMAT Report UP-21-09, Hasselt University.
  2. M. Bastidas Olivares, S. Sharmin, C. Bringedal, I.S. Pop, A numerical scheme for two-scale phase-field models in porous media, CMAT Report UP-21-04, Hasselt University. 
  3. S.B. Lunowa, A. Mascini, C. Bringedal, T. Bultreys, V. Cnudde, I.S. Pop, Dynamic effects during the capillary rise of fluids in cylindrical tubes, CMAT Report UP-21-07, Hasselt University.