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Universitetet i Bergen
: Mat. Nat. fakultet
: Matematisk institutt
: Jan M. Nordbotten
Curriculum Vitae
- Dr.Scient. (Ph.D.) University of Bergen
- Cand.Scient. (M.Sc.) University of Bergen
- Cand.Mag. (B.Sc.) University of Bergen
- Degree completed Spring 2001.
- Positions
- 2006 - Associate Professor at Department of Mathematics, University of Bergen.
- 2006 - Visiting Faculty at Princeton University.
- Fall 2005: Research Associate at Princeton University.
- 2004 - 2005: Post Doc. at Department of Mathematics, University of Bergen.
- 2004 - 2005: Post Doc. at the Center of Integrated Petroleum
Research, University of Bergen.
- Fall 2004: Research Associate at Princeton University.
- 2002-2004: Dr. Scient student at Department of Mathematics, University of Bergen.
- Awards and Achievements
- Graduate Students (Year completed)
'c' indicates co-advisor/comittee member
- Leonid Vasilyev (Ph.D.), University of Bergen
- Andreas Sandvin (Ph.D.), University of Bergen
- Andreas Hammer (M.Sc.), University of Bergen
- Jørn Hafver (M.Sc.), University of Bergen
- Hilde Hvidevold (M.Sc.), University of Bergen
- Juan P. Nogues (Ph.D.), Princeton University (c)
- Sarah E. Gasda (Ph.D.), Princeton University (c)
- Andreas Sandvin, M.Sc., University of Bergen (2007)
- Michael J. Puma, Ph.D., Princeton Univerity (2006,c)
- Scientific Publications (Peer reviewed)
Links appear as papers are published online (may require subscription).
- Nordbotten J. M.,
Continuum Transport in Porous Media,
submitted to Physical Review Letters.
- Nordbotten J. M., M. A. Celia, H. K. Dahle, S. M. Hassanizadeh,
On the definition of macro-scale pressure for multi-phase flow in porous media,
submitted to special secton on Pore-scale modelling in Water Resources Research.
- Nordbotten J. M., J. P. Nogués, M. A. Celia,
Appropriate choice of average pressure for upscaling relative permeability in dynamic flow conditions,
submitted to SPE Journal.
- Rennermalm, Å, J. M. Nordbotten, E. F. Wood,
Hydrologic variability and its influence on peatland dynamics,
submitted to Global Biogeochemical Cycles.
- Nordbotten J. M.,
Analysis of probilistic soil moisture dynamics,
in press, Advances in Water Resources.
- Aavatsmark, I., G. T. Eigestad, B. T. Mallison and J. M. Nordbotten,
A compact MPFA method with improved
monotonicity,
in press, Numerical Methods for Partial Differential Equations.
- Nordbotten J. M., P. E. Bjørstad,
On the relationship between domain decomposition
preconditioners and the multiscale finite volume method,
to appear in the special issue of Computational Geosciences
on Multiscale methods for flow and transport in
heterogeneous porous media.
- Gasda, S., J. M. Nordbotten and M. A. Celia (2007),
Determining the effective wellbore permeability from a
field pressure test: Numerical analysis of detection limits,
Environmental Geology, doi:10.1007/s00254-007-0903-7.
- Nordbotten J. M., M. A. Celia, H. K. Dahle,
S. M. Hassanizadeh (2007),
Interpretation of Pressure in Darcy's Law,
Water Resources Research, 43, W08430, doi:10.1029/2006WR005018.
- Nordbotten J. M., I. Aavatsmark, G. T. Eigestad (2007),
Monotonicity of Control Volume Methods,
Numerische Mathematik, 106, 255-288, doi:10.1007/s00211-006-0060-z.
- Nordbotten J. M., M. A. Celia, I. Rodriguez-Iturbe (2007),
Stochastic Coupling of Rainfall and Biomass Dynamics,
Water Resources Research, 43, W01408, doi:10.1029/2006WR005068.
- Lie J., J. M. Nordbotten (2007),
Inverse Scale Spaces for Nonlinear Regularization,
Journal of Mathematical Imaging and Vision, 27(1), 41-50, doi:10.1007/s10851-006-9694-9.
- Nordbotten J. M., M. A. Celia (2006),
Similarity solutions for fluid injection into confined
aquifers, Journal of Fluid Mechanics, 561, 307-327.
- Nordbotten J. M., M. A. Celia (2006),
An improved analytical solution for interface upconing
around a well, Water Resources Research, 42, W08433,
doi:10.1029/2005WR004738.
- Nordbotten J. M., I. Rodriguez-Iturbe, M. A. Celia (2006),
Non-uniqueness of evapotranspiration due to spatial
heterogeneity of plant species, Proceedings of The Royal
Society A: Mathematical, Physical and Engineering Sciences,
462, 2359-2371,
doi:10.1098/rspa.2005.1641.
- Nordbotten J. M., I. Aavatsmark (2005), Monotonicity
Conditions for Control Volume Methods on Uniform
Parallelogram Grids in Homogeneous Media,
Computational Geosciences, 9(1), 61-72, doi:10.1007/s10596-005-5665-2.
- Nordbotten J. M., M. A. Celia, S. Bachu, H. K. Dahle (2005),
Semi-Analytical Solution for CO2 Leakage through
an Abandoned Well, Environmental Science &
Technology, 39(2), 602-611, doi:10.1021/es035338i.
- Nordbotten J. M., M. A. Celia, S. Bachu (2005),
Injection and Storage of CO2 in Deep Saline Aquifers:
Analytical Solution for CO2 Plume Evolution During
Injection, Transport in Porous Media, 58(3),
339-360, doi:10.1007/s11242-004-0670-9.
- Nordbotten J. M., G. T. Eigestad (2005),
Discretization on quadrilateral grids with improved
monotonicity properties
,
Journal of Computational Physics 203(2), 744-760,
doi:10.1016/j.jcp.2004.10.002.
- Bachu, S., J.M. Nordbotten, M. A. Celia (2004),
Evaluation of the spread of acid gas plumes injected in
deep saline aquifers in western Canada as an analogue to CO2
injection in continental sedimentary basins, In,
E.S.Rubin, D.W.Keith and C.F.Gilboy (Eds.), Proceedings of
7th International Conference on Greenhouse Gas Control
Technologies. Volume 1: Peer-Reviewed Papers and Plenary
Presentations, IEA Greenhouse Gas Programme, Cheltenham, UK.
- Celia, M. A., S. Bachu, J. M. Nordbotten, S. Gasda,
H. K. Dahle (2004),
Quantitative estimation of CO2 leakage from
geological storage: Analytical models, numerical models, and
data needs, In, E.S.Rubin, D.W.Keith and C.F.Gilboy
(Eds.), Proceedings of 7th International Conference on
Greenhouse Gas Control Technologies. Volume 1: Peer-Reviewed
Papers and Plenary Presentations, IEA Greenhouse Gas
Programme, Cheltenham, UK.
- Nordbotten J. M., M. A. Celia, S. Bachu (2004),
Analytical solutions for leakage rates through abandoned wells, Water
Resources Research, 40(4), W04204, doi:10.1029/2003WR002997.
- Reports and publications without peer review
For copies of papers without links, please request per e-mail.
- Aavatsmark, I., G. T. Eigestad, B.-O. Heimsund,
B. T. Mallison, J. M. Nordbotten, E. Øian
(2007),
A new finite volume approach to efficient discretization
on challenging grids,
Society of Petroleum Engineers Reservoir Simulation
Symposium, 26. - 29. February. SPE 106435.
- Gasda, S. E., M. A. Celia, and J. M. Nordbotten (2007),
Upslope Plume Migration and Implications for Geological
CO2 Sequestration in Deep, Saline Aquifers, in press,
IES Journal A: Civil and Structural Engineering
- Aavatsmark, I., G. T. Eigestad, J. M. Nordbotten,
B. T. Mallison (2006),
A Compact MPFA Method with Improved Robustness,
Proceedings of the 10th European Conference on the
Mathematics of Oil Recovery, 4. - 7. September.
- Celia, M. A., S. Bachu, J. M. Nordbotten, D. Kavetski,
S. E. Gasda (2006),
A risk assessment tool to quantify CO2 leakage potential
through wells in mature sedimentary basins,
Proceedings of the 8th Conference on Greenhouse Gas
Technologies, Trondheim, Norway, 19-22. June.
- Gasda, S. E., M. A. Celia, and J. M. Nordbotten (2006),
Significance of dipping angle on CO2 plume migration in deep
saline aquifers,
Proceedings of the 16th conference on Computational Methods
in Water Resources
- Haegland, H., H. K. Dahle, G. T. Eigestad,
J. M. Nordbotten, M. A. Celia, and A. Assteerawatt (2006),
Streamline methods on fault adapted grids for risk assessment of storage of CO2 in geological formations,
Proceedings of the 16th conference on Computational Methods
in Water Resources
- Kavetski, D., J. M. Nordbotten, and M. A. Celia (2006),
Analysis of potential CO2 leakage through abandoned wells using
a semi-anlytical model,
Proceedings of the 16th conference on Computational Methods
in Water Resources
- Nordbotten, J. M. and M. A. Celia (2006),
Analysis of plume extent using analytical solutions for CO2
storage,
Proceedings of the 16th conference on Computational Methods
in Water Resources
- Nordbotten, J. M., M. A. Celia, H. K. Dahle, and
S. M. Hassanizadeh (2006),
On the definition of macro-scale pressure for multi-phase flow in
porous media,
Proceedings of the 16th conference on Computational Methods
in Water Resources
- Puma, M. J., M. A. Celia, I. Rodriguez-Iturbe,
J. M. Nordbotten, and A. J. Guswa (2006),
Threshold scales for spatially averaged soil moisture and
evapotranspiration with rainfall heterogeneity,
Proceedings of the 16th conference on Computational Methods
in Water Resources
- Lie J., J. M. Nordbotten (2005), Inverse Scale Spaces for Nonlinear Regularization,
UCAL CAM report, 67.
- Celia, M. A., S. Bachu, J. M. Nordbotten, D. Kavetski,
S. E. Gasda (2005),
Modeling Critical Leakage Pathways in a Risk Assessment
Framework: Representation of Abandoned Wells,
Proceedings of the Fourth Annual Conference on Carbon
Capture and Sequestration, 2. - 5. May.
- Eigestad, G. T., I. Aavatsmark, R. Klausen, J. M. Nordbotten (2004),
Recent advances for MPFA methods,
Proceedings of the 9th European Conference on the
Mathematics of Oil Recovery, 29. August - 2. September.
- Nordbotten J. M., G. T. Eigestad (2003), Monotonicity
Conditions for Control Volume Methods on General Grids;
Application to MPFA,
Proceedings of the 17th Nordic Seminar on Computational
Mechanics, 16. - 18. October.
- Extended Visits
- May 2007; University of Stuttgart.
- May 1st to June 1st 2003; Princeton University.
- November 16th to December 16th 2003; Stanford University.
- Professional Memberships
- Society of Industrial and Applied Mathematics (SIAM).
- American Geophysical Union (AGU).
- Society of Petroleum Engineers (SPE).
- Served as reviewer
- Advances in Water Resources
- Computational Geosciences
- International Journal of Engineering Science
- Journal of Environmental Management
- Journal of Hydrology
- National Science Foundation (US)
- Physical Review E
- SIAM Journal of Applied Mathematics
- SIAM Multiscale Methods and Simulation
- Transport in Porous Media
- Vadoze Zone Journal
- Water Resources Research
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