- E-maileirik.keilegavlen@uib.no
- Phone+47 55 58 28 31
- Visitor AddressAllégaten 41Realfagbygget5007 Bergen
- Postal AddressPostboks 78035020 Bergen
My fields of research are the development of mathematical models, numerical methods, and simulation technology for coupled problems in porous media. Much of my work is motivated by applications such as geothermal energy, subsurface energy storage, and CO2 storage. I also lead the development team for the open-source simulator PorePy, which targets multiphysics processes in fractured porous media.
Academic article
- (2024). Unified flash calculations with isenthalpic and isochoric constraints. Fluid Phase Equilibria.
- (2024). Flexible and rigorous numerical modelling of multiphysics processes in fractured porous media using PorePy. Results in Applied Mathematics. 100428 pages.
- (2023). Simulation of Reactive Transport in Fractured Porous Media. Transport in Porous Media. 643-667.
- (2023). PoroTwin: A Digital Twin for a FluidFlower Rig. Transport in Porous Media. 18 pages.
- (2023). Numerical Treatment of State-Dependent Permeability in Multiphysics Problems. Water Resources Research.
- (2023). Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems. Water Resources Research.
- (2023). Crustal Conditions Favoring Convective Downward Migration of Fractures in Deep Hydrothermal Systems. Geophysical Research Letters.
- (2022). Two-level simulation of injection-induced fracture slip and wing-crack propagation in poroelastic media. International Journal of Rock Mechanics And Mining Sciences. 1-14.
- (2022). Impact of deformation bands on fault-related fluid flow in field-scale simulations. International Journal of Greenhouse Gas Control. 15 pages.
- (2022). A posteriori error estimates for hierarchical mixed-dimensional elliptic equations. Journal of Numerical Mathematics.
- (2021). Verification benchmarks for single-phase flow in three-dimensional fractured porous media. Advances in Water Resources.
- (2021). Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models. SIAM Journal on Numerical Analysis. 583-612.
- (2021). PorePy: an open-source software for simulation of multiphysics processes in fractured porous media. Computational Geosciences. 243-265.
- (2021). Numerical Modelling of Convection-Driven Cooling, Deformation and Fracturing of Thermo-Poroelastic Media. Transport in Porous Media. 371-394.
- (2021). Modeling and discretization of flow in porous media with thin, full-tensor permeability inclusions. International Journal for Numerical Methods in Engineering. 4730-4750.
- (2021). Hydro-mechanical simulation and analysis of induced seismicity for a hydraulic stimulation test at the Reykjanes geothermal field, Iceland. Geothermics. 1-16.
- (2021). A fully coupled numerical model of thermo-hydro-mechanical processes and fracture contact mechanics in porous media. Computer Methods in Applied Mechanics and Engineering.
- (2021). A combined finite element–finite volume framework for phase-field fracture. Computer Methods in Applied Mechanics and Engineering. 1-23.
- (2020). Numerical modeling of wing crack propagation accounting for fracture contact mechanics. International Journal of Solids and Structures. 233-247.
- (2020). Fault slip in hydraulic stimulation of geothermal reservoirs: Governing mechanisms and process-structure interaction. The Leading Edge. 893-900.
- (2019). Reactivation of fractures in subsurface reservoirs - A numerical approach using a static-dynamic friction model. Lecture Notes in Computational Science and Engineering. 653-660.
- (2019). Implementation of mixed-dimensional models for flow in fractured porous media. Lecture Notes in Computational Science and Engineering. 573-580.
- (2019). Finite volume discretization for poroelastic media with fractures modeled by contact mechanics. International Journal for Numerical Methods in Engineering. 644-663.
- (2019). Dual virtual element methods for discrete fracture matrix models. Oil & Gas Science and Technology. 1-17.
- (2019). Consistent MPFA Discretization for Flow in the Presence of Gravity. Water Resources Research. 1-14.
- (2019). Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations. Journal of Computational Physics. 694-712.
- (2019). A pore-scale study of transport of inertial particles by water in porous media. Chemical Engineering Science (CES). 397-409.
- (2018). Unified approach to discretization of flow in fractured porous media. Computational Geosciences. 1-13.
- (2018). Transport of polymer particles in oil–water flow in porous media: Enhancing oil recovery. Transport in Porous Media. 1-19.
- (2018). Three-Dimensional Numerical Modeling of Shear Stimulation of Fractured Reservoirs. Journal of Geophysical Research (JGR): Solid Earth. 3891-3908.
- (2018). Input and benchmarking data for flow simulations in discrete fracture networks. Data in Brief. 1135-1139.
- (2018). In vivo detection of chronic kidney disease using tissue deformation fields from dynamic MR imaging. IEEE Transactions on Biomedical Engineering. 1779-1790.
- (2018). Flow in Fractured Porous Media: A Review of Conceptual Models and Discretization Approaches. Transport in Porous Media. 215-236.
- (2018). Finite-volume discretisations for flow in fractured porous media. Transport in Porous Media. 439-462.
- (2018). Dual virtual element method for discrete fractures networks. SIAM Journal on Scientific Computing. 228-258.
- (2018). A heterogeneous multiscale MPFA method for single-phase flows in porous media with inertial effects. Computational Geosciences. 107-126.
- (2018). A finite-volume discretization for deformation of fractured media. Computational Geosciences. 993-1007.
- (2017). Postinjection normal closure of fractures as a mechanism for induced seismicity. Geophysical Research Letters. 9598-9606.
- (2017). High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. Journal of the Mechanics and Physics of Solids. 458-489.
- (2017). Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs. Computational Geosciences. 451-467.
- (2017). Fractal structures in freezing brine. Journal of Fluid Mechanics. 975-995.
- (2017). Finite volume methods for elasticity with weak symmetry. International Journal for Numerical Methods in Engineering. 939-962.
- (2016). The effect of deformation bands on simulated fluid flow within fault-propagation fold trap types: Lessons from the San Rafael monocline, Utah. American Association of Petroleum Geologists Bulletin. 1523-1540.
- (2016). A multiscale multilayer vertically integrated model with vertical dynamics for CO2 sequestration in layered geological formations. Water Resources Research. 6490-6505.
- (2015). Two-scale preconditioning for two-phase nonlinear flows in porous media. Transport in Porous Media. 485-503.
- (2015). Inexact linear solvers for control volume discretizations in porous media. Computational Geosciences. 159-176.
- (2014). Physics-based preconditioners for flow in fractured porous media. Water Resources Research. 1357-1373.
- (2014). Conservative inexact solvers for porous media flow. Lecture Notes in Computational Science and Engineering. 333-340.
- (2014). Application of Vertically-Integrated Models with Subscale Vertical Dynamics to Field Sites for CO2 Sequestration. Energy Procedia. 3523-3531.
- (2014). Analysis of control volume heterogeneous multiscale methods for single phase flow in porous media. Multiscale Modeling & simulation. 335-363.
- (2013). Domain decomposition strategies for nonlinear flow problems in porous media. Journal of Computational Physics. 439-451.
- (2013). Deformation bands and their impact on fluid flow in sandstone reservoirs: the role of natural thickness variations. Geofluids. 359-371.
- (2013). Auxiliary variables for 3D multiscale simulations in heterogeneous porous media. Journal of Computational Physics. 141-153.
- (2012). Tensor relative permeabilities: Origin, modeling and numerical discretization. International Journal of Numerical Analysis & Modeling. 701-724.
- (2012). Multidimensional upstream weighting for multiphase transport on general grids. Computational Geosciences. 1021-1042.
- (2011). Monotonicity for MPFA methods on triangular grids. Computational Geosciences. 3-16.
- (2011). Field-case simulation of CO2-plume migration using vertical-equilibrium models. Energy Procedia. 3801-3808.
- (2010). Simulation of anisotropic heterogeneous near-well flow using MPFA methods on flexible grids. Computational Geosciences. 509-525.
- (2009). Sufficient criteria are necessary for monotone control volume methods. Applied Mathematics Letters. 1178-1180.
- (2009). Non-hydrostatic pressure in sigma-coordinate ocean models. Ocean Modelling. 240-249.
Lecture
- (2023). PoroTwin: A Digital Twin for a Meter-Scale Porous Media.
- (2022). Work Package 5: Coupling strategies and solvers for multi-model simulators .
- (2020). Modelling Superheated and Supercritical Geothermal Systems (SiGS).
- (2019). Numerical investigation of wing crack initiation and propagation due to shear slip.
- (2018). Domain Decomposition Preconditioner for Mixed-dimensional Flow Problems in Fractured Porous Media.
- (2017). Understanding the stimulation of deep geothermal reservoirs through modeling and simulation.
- (2017). Simulation of geothermal energy extraction on realistic geologies using the dual virtual element method.
- (2017). Fractal structures in freezing brine.
- (2017). Coupled processes in geothermal systems.
- (2017). BDDC Preconditioner for Robust Discretization of Flow in Fractured Porous Media.
- (2017). A robust control volume heterogeneous multiscale method for non-linear flows in porous media.
- (2017). A BDDC Method for Robust Discretization of Flow in Fractured Porous Media.
- (2016). Improving the Accuracy of Phase-Field Models for Brittle Fracture.
- (2016). Impact of Degradation Functions on the Accuracy of Phase-Field Models for Brittle Fracture.
- (2015). Simulation of Slip-Induced Permeability Enhancement Accounting For Multiscale Fractures.
- (2015). Phase-field modelling of fluid pressure-induced fractures.
- (2015). Fracture propagation in Enhanced Geothermal Systems.
Popular scientific lecture
- (2017). Structural impact of fractures on dynamic processes in geothermal reservoirs.
Academic lecture
- (2024). Simulation of THMC processes in fractured porous media .
- (2023). PoroTwin: A Digital Twin for a Meter-Scale Porous Medium.
- (2023). FRISK project: Practical field-scale simulation approaches for quantification of fault-related leakage under uncertainty.
- (2023). Bridging the gap between lab experiments and mixed-dimensional modeling for flow and transport in fractured media.
- (2023). An isenthalpic formulation for simulating geothermal systems with phase changes.
- (2022). Updated workflow for fault risk assessment and application to Vette Fault Zone, Horda Platform, offshore Norway.
- (2022). Thermal fracturing and heat transfer below the superhot IDDP-1 well in Krafla, NE Iceland.
- (2022). Simulation of Induced Fracture Opening and Propagation in Poroelastic Rocks.
- (2022). Practical field-scale simulation approaches for quantification of fault-related leakage under uncertainty .
- (2022). Numerical modeling of injection-induced slip and propagation of fractures in poroelastic media.
- (2022). Modeling and Simulation of Thermo-Hydro-Mechanical-Chemical Processes in Fractured Rocks with Applications to Geothermal Energy.
- (2021). Thermal fracturing and natural convection: A hidden source of geothermal activity in the earth’s crust?
- (2021). Simulation Technology for Nonlinear Multiphysics Problems in Mixed-Dimensional Geometries.
- (2021). Heat Transfer and Flow Paths in the Deep Part of the IDDP-2 Well in Reykjanes, SW Iceland.
- (2021). Effective permeability of deformation bands in fault damage zones – Can deformation bands reduce the risk of fault leakage?
- (2021). Discrete Fracture-Matrix Modelling of Coupled THM Processes and Fracture Deformation.
- (2021). Control volume discretization of flow and chemical reactions in fractured porous media.
- (2021). A Flow Discretization for Conforming Discrete Fracture Matrix Models with Upscaling of Microscale Fractures.
- (2020). Modelling of process-structure interaction resulting from fluid injection in fractured subsurface systems.
- (2020). Dynamic changes in fault permeability – How can experimental work provide support for fault seal integrity?
- (2020). Conceptual model of heat transfer near volcanic geothermal heat sources.
- (2020). A simulation model for fracture reactivation accounting for thermo-hydro-mechanical forces with applications to geothermal systems.
- (2019). Numerical investigation of wing crack initiation and propagation due to shear slip .
- (2019). Numerical Modeling of Fracture Reactivation in a Three-dimensional Domain Based on a Coulomb Friction Law.
- (2019). Numerical Methods for Flow in Fractured Porous Media in a Unified Implementation.
- (2019). Mixed-dimensional discrete fracture matrix models with heterogeneous discretization and non-matching grids.
- (2019). Induced seismicity in the Reykjanes geothermal reservoir, Iceland: seismic event monitoring, characterization and clustering.
- (2019). Fracture mechanics of brittle materials: fracture criteria and numerical approach.
- (2019). Enhancing Geothermal Reservoirs – Modelling and Analysis of Hydraulic and Thermal Stimulation.
- (2019). Enhanced fluid convection and heat transfer near the bottom of the IDDP-1 well in Krafla, NE Iceland.
- (2019). Consistent discretization of flow for inhomogeneous gravitational fields.
- (2019). Challenges in Modelling the Anisotropic Poroelastoplastic Behaviour of Fractured Rocks as Homogenized Media.
- (2018). Viscous fingering in fractured porous media.
- (2018). Unified modeling and discretization of flow in fractured porous media.
- (2018). Three-dimensional numerical modelling of hydraulic stimulation of geothermal reservoirs: permeability enhancement and induced seismicity.
- (2018). PorePy: A Python Simulation Tool for Fractured and Deformable Porous Media.
- (2018). Multi-fracture propagation in porous medium under shear stimulation of fluid flow.
- (2018). Modelling of thermal shock induced fracture growth.
- (2018). Modelling of conditions close to geothermal heat sources.
- (2018). Modeling fracture reactivation in a mixed dimensional setting: Friction models and numerical challenges.
- (2018). Modeling fracture reactivation in a mixed dimensional setting: Friction models and numerical challenges.
- (2018). Fracture propagation in porous medium under shear stimulation of fluid flow.
- (2018). A general framework for heterogeneous discretizations in mixed-dimensional single-phase flow.
- (2017). Simulation of hydraulic stimulation of fractured geothermal reservoirs.
- (2017). PorePy: A Python Simulation Tool for Fractured and Deformable Porous Media.
- (2017). Hydraulic stimulation and friction laws for fracture deformation – a numerical study .
- (2017). Hydraulic stimulation and friction laws for fracture deformation – a numerical study.
- (2017). Hybrid FE-FV scheme for modeling pressure-induced fracture propagation in porous media using a phase-field approach.
- (2017). High-accuracy phase-field models for brittle fracture based on a new family of degradation functions.
- (2017). Handling of Fractures and Intersections in Finite Volume Methods.
- (2017). Finite volume discretizations of poro-elasticity in high contrast media.
- (2017). Dual virtual element method for fractured geothermal systems.
- (2017). Discretization of mixed-dimensional problems using legacy codes.
- (2017). An approach for simulation of hydraulic stimulation of a fractured geothermal reservoir.
- (2017). A numerical approach for simulation of shear dilation of three-dimensional fracture networks.
- (2016). Enhanced geothermal systems – modeling of fracture response to hydraulic stimulation.
- (2016). A weakly symmetric finite volume method for elasticity with application to fractures in porous media.
- (2015). Incorporating Geological Uncertainty in Error Control for Linear Solvers.
- (2014). Modeling of Permeability Enhancement in Geothermal Reservoirs by Shear-Dilation Stimulation.
- (2014). Mathematical modeling of permeability enhancement in geothermal reservoirs.
- (2010). Near-well discretisations for anisotropic heterogeneous problems on flexible grids.
Academic anthology/Conference proceedings
- (2020). Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. Springer.
- (2019). Numerical Methods for Processes in Fractured Porous Media. Birkhäuser Verlag.
Masters thesis
- (2010). A multiscale approach to estimate large scale flow and leakage from geological storage.
Software
- (2023). PorePy: A Simulation Tool for Fractured and Deformable Porous Media, version 1.8.1.
- (2021). PorePy versjon 1.5 (simuleringsverktøy for prosesser i oppsprukne porøse medier).
- (2020). PorePy: Python Simulation Tool for Fractured and Deformable Porous Media. Versjon 1.3.
- (2019). PorePy: A Simulation Tool for Fractured and Deformable Porous Media written in Python, v.1.0.
- (2018). PorePy: A Simulation Tool for Fractured and Deformable Porous Media written in Python, versjon 0.4.3.
- (2017). PorePy: A Simulation Tool for Fractured and Deformable Porous Media written in Python.
- (2017). PorePy: A Python Simulation Tool for Fractured and Deformable Porous Media. Version 0.2.
- (2016). Finite volume discretizations for Biot's equations.
Popular scientific article
- (2015). Hvordan håndtere usikkerhet ved CO2-lagring. Bergens Tidende.
- (2014). Sprekker er nøkkelen til dyp jordvarme. Bergens Tidende.
Doctoral dissertation
- (2019). Phase-field Modeling and Simulation of Brittle Fracture.
- (2018). Numerical modeling of shear stimulation in naturally fractured geothermal reservoirs.
- (2010). Robust Control Volume Methods for Reservoir Simulation on Challenging Grids.
Interview
- (2019). Matematiske modeller gir bedre forståelse av menneskeskapte jordskjelv.
Documentary
- (2022). NFR Toppforsk project Thermo-Mechanical Energy Storage.
Academic chapter/article/Conference paper
- (2023). Simulation of reactive transport in fractured geothermal reservoirs. 9 pages.
- (2023). An isenthalpic formulation for simulating geothermal systems with phase changes.
- (2021). Modelling of Thermally Induced Fracture Slip caused by Fluid Injection During Geothermal Production.
- (2021). Effective permeability of deformation bands in fault damage zones – Can deformation bands reduce the risk of fault leakage?
- (2021). A Finite-Volume-Based Module for Unsaturated Poroelasticity. 34 pages.
- (2020). Finite Volume Discretisation of Fracture Deformation in Thermo-poroelastic Media. 8 pages.
- (2019). Numerical investigation of wing crack initiation and propagation due to shear slip.
- (2019). Enhanced fluid convection and heat transfer near the bottom of the IDDP-1 well in Krafla, NE Iceland.
- (2019). Anisotropic Poroelastoplastic Constitutive Model of Fractured Rocks.
- (2018). Three-dimensional numerical modelling of fracture reactivation due to fluid injection in geothermal reservoirs.
- (2016). Modelling of the Shear Dilation Based Hydraulic Stimulation in Enhanced Geothermal Systems Considering Fractures in Different Scales.
- (2015). Simulation of Slip-Induced Permeability Enhancement Accounting For Multiscale Fractures.
- (2013). Multiscale simulation of flow and heat transport in fractured geothermal reservoirs: inexact solvers and improved transport upscaling.
- (2012). Mass conservative domain decomposition for porous media flow. 23 pages.
- (2012). Mass Conservative Domain Decomposition for Fractured Porous Media.
- (2012). MULTISCALE SIMULATION OF NON-DARCY FLOWS. 8 pages.
- (2010). Monotone Multi-dimensional Upstream Weighting on General Grids.
- (2010). A Multiscale Framework for Simulating Multi-phase Flow on Flexible Grids.
- (2008). Monotonicity for control volume methods on unstructured grids. 13 pages.
- (2008). Discretization schemes for anisotropic heterogeneous problems on near-well grids. 12 pages.
Abstract
- (2022). Practical field-scale simulation approaches for quantification of fault-related leakage under uncertainty. 16th Greenhouse Gas Control Technologies Conference 2022 (GHGT-16).
- (2021). Heat Transfer and Flow Paths in the Deep Part of the IDDP-2 Well in Reykjanes, SW Iceland. Proceedings World Geothermal Congress 2020+1 Reykjavik, Iceland, April - October 2021.
Poster
- (2023). PoroTwin: A digital FluidFlower .
- (2023). Bridging the Gap Between Lab Experiments and Mixed-Dimensional Modeling for Flow in Fractured Media.
- (2022). WP 5 Coupling strategies and solvers for multi-model simulators.
- (2020). Utilization of superhot geothermal systems - Overview of field data from Iceland to be used in a new collaboration project between University of Bergen, ÍSOR, Equinor, Reykjavík Energy, Landsvirkjun and HS Orka.
- (2020). Modelling Superhot Geothermal Systems - Modelling enhanced fluid convection and heat transfer in superhot geothermal systems in Iceland.
- (2020). Dynamic changes in fault permeability How can experimental work provide support for fault seal integrity?
- (2019). Simulation of temperature and pressure driven fracture deformation.
- (2019). Phase-field Modeling of Brittle Crack Propagation in Saturated Porous Media.
- (2019). Automatic picking for induced seismicity in Iceland using an EAT (Empirically Aggregated Template) methodology.
- (2018). Outcrop fracture characterization for geothermal reservoirs: challenges in optimizing inputs for reservoir models.
- (2018). Mixed-dimensional poroelasticity for deformable fractured porous media.
- (2018). Induced seismicity in a geothermal reservoir: a case study in the Reykjanes peninsula in Iceland.
- (2018). Efficient Linear Solvers for Mixed-dimensional Flow Problems in Fractured Porous Media.
- (2017). High-accuracy phase-field models for brittle fracture.
- (2017). Fracture Deformation Models in Geothermal Reservoirs.
- (2017). Finite Volume Methods for Flow and Transport in 3-Dimensional Fractured Porous Media.
- (2017). Coupling Conditions for Finite Volume Methods for Fractured Porous Media.
- (2017). BDDC Preconditioner for Robust Discretization of Flow in Fractured Porous Media.
- (2016). Cell centered finite volume discretization of fractured deformable porous media.
- (2015). Modeling of Hydroshearing in Geothermal Reservoirs.
- (2015). Coupling Issues Arising from Combining Fracture Phase-Field Models with Biot Poroelasticity.
More information in national current research information system (CRIStin)