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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
- 2009 - : Professor at Department of Mathematics, University of Bergen.
- 2009 - : Professor at Center of Integrated
Petroleum Research, University of Bergen.
- 2006 - Visiting positions at Department of Civil and
Environmental Engineering, Princeton University.
- 2010 - : Principal Consultant, Geological Storage Consultants, LLC.
- 2006 - 2009: Associate Professor at Department of Mathematics, University of Bergen.
- 2006 - 2009: Associate Professor at Center of Integrated
Petroleum Research, University of Bergen.
- Fall 2005: Research Associate at Department of Civil and
Environmental Engineering, 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 Department of Civil and
Environmental Engineering, Princeton University.
- 2002-2004: Dr. Scient student at Department of Mathematics, University of Bergen.
- Awards and Achievements
- Inaugural Society of Industrial and Applied Mathematics Geosciences (SIAM-GS) Junior Scientist Award, 2009.
- Awarded funding under the Outstanding Young
Investigator programme 2007
- Awarded the Lauritz
Meltzer award for young scientists 2004
- Editorial work
- Associate Editor, Transport in Porous Media, 2012-2014
- Current and past post.docs
'j' indicates joint with other faculty
- Florian Doster, 2011-2013, j.
- Eirik Keilegavlen, 2010-2013.
- Antoine Tambue, 2010-2012, j.
- Darko Mitrovic, 2010; 2011-2012 (20%).
- Paulo Herrera, 2009-2011, j.
- Jan Valdman, 2008-2009.
- Talal Rahman, 2008-2009.
- Current Graduate Students
'c' indicates co-advisor/comittee member
- Leonid Vasilyev (Ph.D.), University of Bergen
- Jan Ole Skogestad (Ph.D.), University of Bergen
- Sergey Alyaev (Ph.D.), University of Bergen
- Carina Bringedal (Ph.D.), University of Bergen
- Daniel Oldekjær (M.Sc.), University of Bergen
- Zhu Sha (M.Sc.), University of Bergen
- Mary Kang (Ph.D.), Princeton University (c)
- Tor Harald Sandve (Ph.D.), University of Bergen (c)
- Elsa du Plessis (Ph.D.), University of Bergen (c)
- Meisam Ashraf (Ph.D.), University of Bergen (c)
- Tore Ingvald Bjørnarå (Ph.D.), University of Bergen (c)
- Past Graduate Students (Year completed)
'c' indicates co-advisor/comittee member
- Andreas Sandvin Ph.D., University of Bergen (2012)
- Juan P. Nogues Ph.D., Princeton University (2012, c)
- Silje Reistad M.Sc., University of Bergen (2012)
- Maria Elenius Ph.D., University of Bergen (2011, c)
- Benjamin Court Ph.D., Princeton University (2011, c)
- Carina Bringedal M.Sc., University of Bergen (2011, c)
- Trenton E. Franz Ph.D., Princeton University (2010, c)
- Sergey Alyaev M.Sc., University of Bergen (2010)
- Knut-Erland Brun M.Sc., University of Bergen (2010)
- Elin M. Elje M.Sc., University of Bergen (2010)
- Bassel El-Faour M.Sc., University of Bergen (2010, c)
- Kristian Gundersen M.Sc., University of Bergen (2010, c)
- Trine Mykkeltvedt M.Sc., University of Bergen (2010, c)
- Anders Fosen, M.Sc., University of Bergen (2009)
- Hilde Kristine Hvidevold, M.Sc., University of Bergen (2009)
- Andreas Hammer, M.Sc., University of Bergen (2008)
- Jørn Hafver, M.Sc., University of Bergen (2008)
- Sarah E. Gasda, Ph.D., Princeton University (2008, c)
- Andreas Sandvin, M.Sc., University of Bergen (2007)
- Michael J. Puma, Ph.D., Princeton Univerity (2006, c)
- Book
- Scientific Publications (Peer reviewed)
Links appear as papers are published online (may require subscription).
- Elenius, M. T., J. M. Nordbotten, H. Kalisch,
Effects of a capillary transition zone on the stability of a diffuse boundary layer, IMA Journal of Applied Mathematics, accepted.
- Elenius, M. T., J. M. Nordbotten, H. Kalisch,
Effects of a capillary transition zone on the stability of a diffuse boundary layer, IMA Journal of Applied Mathematics, accepted.
- Mitrovic, D., J. M. Nordbotten, H. Kalisch,
Dynamics of the interface between immiscible liquids of different densities with low Froude number, Nonlinear Analysis Series B: Real World Applications, accepted.
- Mykkeltvedt, T. S. and J. M. Nordbotten (2012),
Estimating convective mixing rates from commercial-scale CO2 injection,
Environmental Earth Sciences, doi:10.1007/s12665-012-1674-3.
- Nordbotten, J. M., B. Flemisch, S. E. Gasda, H. M. Nilsen, Y. Fan, G. E. Pickup, B. Wiese, M. A. Celia, H. K. Dahle, G. T. Eigestad, K. Pruess (2012),
Uncertainties in practical simulation of CO2 storage,
International Journal of Greenhouse Gas Control, 9, 234-242, doi:10.1016/j.ijggc.2012.03.007.
- Gasda, S. E., J. M. Nordbotten, M. A. Celia (2012),
Application of Simplified Models to CO2 Migration and Immobilization in Large-Scale Geological Systems,
International Journal of Greenhouse Gas Control, 9, 72-84, doi:10.1016/j.ijggc.2012.03.001.
- Court, B, K. W. Bandilla, M. A. Celia, T. A. Buscheck, J. M. Nordbotten, M. Dobossy, A. Janzen (2012),
Initial evaluation of synergies associated with simultaneous brine production and CO2 geological sequestration,
International Journal of Greenhouse Gas Control, 8, 90-100, doi:10.1016/j.ijggc.2011.12.009.
- Sandve, T. H., I. Berre, J. M. Nordbotten (2012),
An efficient Multi-Point Flux Approximation based approach for Discrete Fracture Matrix simulation,
Journal of Computational Physics, 231(9), 3784-3800, doi:10.1016/j.jcp.2012.01.023.
- Franz, T. E., K. K. Caylor, E. G. King, J. M. Nordbotten, M. A. Celia and I. Rodriguez-Iturbe (2012),
An Ecohydrological Approach to Predicting Hillslope Scale Vegetation Patterns in Dryland Ecosystems, Water Resources Research, 48, W01515, doi:10.1029/2011WR010524.
- Nogues, J. P., B. Court, M. E. Dobossy, J. M. Nordbotten, M. A. Celia (2012),
Quantifying CO2 Leakage in a Geological Sequestartion Operation given Parameter Uncertainty, International Journal of Greenhouse Gas Control, 7, 39-47, doi:10.1016/j.ijggc.2011.12.003.
- Keilegavlen, E., J. M. Nordbotten, A. Stephansen (2012),
Anisotropic relative permeability: Origins, modeling and numerical discretization, International Journal of Numerical Analysis and Modeling, 9(3), 701-724.
- Bringedal, C., I. Berre, J. M. Nordbotten, D. A. S. Rees (2011),
Linear and nonlinear convection in porous media between coaxial cylinders, Physics of Fluids, 23, 094109, doi:10.1063/1.363764.
- Pruess, K., and J. M. Nordbotten (2011),
Numerical simulation studies of the long-term evolution of a CO2
plume in a saline aquifer with a sloping caprock,
Transport in Porous Media, 90(1), 135-151, doi:10.1007/s11242-011-9729-6.
- Celia, M. A., J. M. Nordbotten, B. Court, M. Dobossy and S. Bachu (2011),
Field-scale application of a semi-analytical model for estimation of leakage potential along old wells, International Journal of Greenhouse Gas Control, 5, 257-269, doi:10.1016/j.ijggc.2010.10.005.
- Franz, T. E., J. Nolan, J. M. Nordbotten, K. K. Caylor, L. D. Slater (2011),
Measurement and Modeling of Lateral Subsurface Transient Soil Moisture Dynamics Using Multi-Point Direct-Current Resistivity, Vadose Zone Journal, 10(1), 286-298, doi:10.2136/vzj2010.0031.
- Gasda, S. E., J. M. Nordbotten and M. A. Celia (2011),
Vertically-averaged approaches to CO2 injection with solubility trapping, Water Resources Research, 47, W05528, doi:10.1029/2010WR009075.
- Sandvin, A., J. M. Nordbotten, I. Aavatsmark (2011),
Multiscale Mass-Conservative Domain-Decomposition Preconditioners for Elliptic Problems on Irregular Grids, Computational Geosciences, 15(3), 587-602, doi:10.1007/s10596-011-9226-6.
- Nordbotten, J. M. and Dahle (2011),
Impact of the capillary fringe in vertically integrated
models for CO2 storage,
Water Resources Research, 47, W02537, doi:10.1029/2009WR008958.
- Nordbotten, J. M., T. Rahman, S. I. Repin and J. Valdman (2010),
A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic model, Computational Methods in Applied Mathematics, 10(3), 302-315.
- Rennermalm, Å, J. M. Nordbotten, E. F. Wood (2010),
Hydrologic variability and its influence on peatland dynamics,
Water Resources Research, 46, W12546, doi:10.1029/2009WR008242.
- Franz, T. E., K. K. Caylor, J. M. Nordbotten,
I. Rodriguez-Iturbe and M. A. Celia (2010),
On the use of ecohydrological approaches to predict
regional species patterns in dryland ecosystems,
Advances in Water Resources, 33(2), 215-230, 10.1016/j.advwatres.2009.12.003.
- Aavatsmark, I., G. T. Eigestad, B.-O. Heimsund,
B. T. Mallison, J. M. Nordbotten, E. Øian (2010),
A new finite volume approach to efficient
discretization on challenging grids,
SPE Journal, 15(3), 658-669, doi:10.2118/106435-PA.
- Nordbotten J. M., J. P. Nogues, M. A. Celia (2010),
Appropriate choice of average pressure for upscaling
relative permeability in dynamic flow conditions,
SPE Journal, doi:10.2118/113558-PA.
- Class, H., A. Ebigbo, R. Helmig, H. Dahle,
J. M. Nordbotten, M. A. Celia, P. Audigane, M. Darcis,
J. Ennis-King, Y. Fan, B. Flemisch, S. E. Gasda, S. Krug,
D. Labregere, J. Min, A. Sbai, S. G. Thomas, L. Trenty (2009),
A benchmark study on problems related to CO2 storage
in geologic formations,
Computational Geosciences, 13(4), 409-434, doi:10.1007/s10596-009-9146-x.
- Gasda, S., J. M. Nordbotten, M. A. Celia (2009),
Vertical Equilibrium with Sub-scale Analytical Methods
for Geological CO2 Sequestration,
Computational Geosciences, 13(4), 469-481, doi:10.1007/s10596-009-9138-x.
- Celia, M. A, J. M. Nordbotten (2009),
Practical modeling approaches for geological storage of
carbon dioxide,
Ground Water, 47(5), 627-638, doi:10.1111/j.1745-6584.2009.00590.x.
- Keilegavlen, E., J. M. Nordbotten, I. Aavatsmark (2009),
Sufficient monotonicity criteria are necessary for
control volume methods, Applied Mathematics
Letters, 22(8), 1178-1180, doi:10.1016/j.aml.2009.01.048.
- Nordbotten J. M. (2009),
Adaptive variational multiscale methods for multiphase
flow in porous media,
SIAM Multiscale Modelling and Simulation, 7(3), doi:10.1137/080724745.
- Nordbotten J. M., H. Haegland (2009),
On reproducing uniform flow exactly on general hexahedral cells
using one degree of freedom per surface,
Advances in Water Resources, 32, 264-267, doi:10.1016/j.advwatres.2008.11.005.
- Nordbotten J. M., D. Kavetski, M. A. Celia, S. Bachu (2009),
A semi-analytical model estimating leakage associated
with CO2 storage in large-scale multi-layered geological
systems with multiple leaky wells,
43(3), 743-749, Environmental Science & Technology, doi:10.1021/es801135v.
- Nordbotten J. M., M. A. Celia, H. K. Dahle,
S. M. Hassanizadeh (2008),
On the definition of macro-scale pressure for
multi-phase flow in porous media,
Special secton on Pore-scale modelling in Water Resources
Research, 44(6), W06S02, doi:10.1029/2006WR005715.
- Nordbotten J. M., P. E. Bjørstad (2008),
On the relationship between domain decomposition
preconditioners and the multiscale finite volume method,
Special issue of Computational Geosciences
on Multiscale methods for flow and transport in
heterogeneous porous media, 12(3), 367-376, doi:10.1007/s10596-007-9066-6.
- Aavatsmark, I., G. T. Eigestad, B. T. Mallison and J. M. Nordbotten (2008),
A compact MPFA method with improved
robustness,
Numerical Methods for Partial Differential Equations, 24(5)
1329-1360, doi:10.1002/num.20320.
- Nordbotten J. M. (2008),
Analysis of probilistic soil moisture dynamics,
Advances in Water Resources, Advances in Water Resources,
31(2), 418-423, doi:10.1016/j.advwatres.2007.09.008.
- Gasda, S., J. M. Nordbotten and M. A. Celia (2008),
Determining the effective wellbore permeability from a
field pressure test: Numerical analysis of detection limits,
Environmental Geology, 54(6), 1207-1215, doi:10.1007/s00254-007-0903-7.
- Gasda, S. E., M. A. Celia, and J. M. Nordbotten (2008),
Upslope Plume Migration and Implications for Geological
CO2 Sequestration in Deep, Saline Aquifers,
IES Journal A: Civil and Structural Engineering, 1:1, 2 -
16, doi:10.1080/19373260701620154.
- 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, doi:10.1017/S0022112006000802 .
- 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.
- 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.
- Other peer reviewed publications
For copies of papers without links, please request per e-mail.
- Nordbotten, J.M., E. Keilegavlen, A. Sandvin (2012).,
Mass conservative domain decomposition for porous media flow,
In R. Petrova (Ed), Finite Volume Methods, 235-256, ISBN:9799533077559.
- Nordbotten, J. M. (2009),
Variational and heterogeneous multiscale methods for
non-linear problems,
In G. Kreiss, P. Lötstedt, P, A. Målqvist, M. Neytcheva (Eds.), Numerical Mathematics and Advanced Applications 2009, Proceedings of ENUMATH 2009, Uppsala, Sweden, June 29-July 3, 713-720.
- Nordbotten, J. M. (2008),
Multiscale methods for multiphase flow in porous
media, In M. Berkovier, M. J. Gander, R. Kornhuber,
O. Widlund (Eds.), Domain Decomposition Methods in
Science and Engineering XVIII, Lecture Notes in
Computational Science and Engineering Vol 70, 39-50.
- 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.
- Reports and publications without peer review
More than 40 conference publications and reports.
- Extended Visits
- Dept. of Geosciences, Universitat Polytècnica de Catalunya, Barcelona, October 2012 – April 2013.
- Department of Mathematics and Computer Science, TU Eindhoven, June - August 2012.
- RICAM Special Semester on Multiscale simulation and analysis in Energy and the Environment, Linz, October - December, 2011.
- Department of Geosciences, Universitat Polytecnica de Catalunya, Barcelona, January 11-22, 2010.
- Ecohydrology Laboratory, EPFL, July 5-17, 2009.
- Institut fur Wasserbau, Universitat Stuttgart, May 1 - May 21, 2007.
- Department of Petroleum Engineering, Stanford University, November 16 - December 16, 2003.
- Department of Civil and Environmental Engineering, Princeton University, April 1 - June 1, 2003.
- Norsk Hydro Research Centre, Bergen, June 15 - August 15, 2002.
- 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
- Basin Research
- Computers and Geosciences
- Computational Geosciences
- Ecohydrology
- Energy and Environmental Science
- Environmental Earth Sciences
- Environmental Science and Technology
- Geology
- IMA Journal of Applied Mathematics
- International Journal of Engineering Science
- International Journal of Greenhouse Gas Control
- International Journal of Numerical Analysis and Modeling
- Journal of Environmental Management
- Journal of Fluid Mechanics
- Journal of Hydrology
- National Science Foundation (US)
- National Fund for Scientific and Technological Development (Chile)
- Numerical Methods for Partial Differential Equations
- Numerische Mathematik
- Physical Review E
- Risk Analysis
- Senter for Internasjonalisering innen Utdanning (Norway)
- SIAM Journal of Applied Mathematics
- SIAM Journal on Numerical Analysis (SINUM)
- SIAM Journal on Scientific Computing
- SIAM Multiscale Modelling and Simulation
- SPE Journal
- Transport in Porous Media
- Vadoze Zone Journal
- Water Resources Research
- Woodhead Publishing
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