• Extreme wave runup on a steep coastal profile 

      Bjørnestad, Maria; Kalisch, Henrik (Journal article; Peer reviewed, 2020)
      It is shown that very steep coastal profiles can give rise to unexpectedly large wave events at the coast. We combine insight from exact solutions of a simplified mathematical model with photographs from observations at ...
    • A Fast Continuous Max-Flow Approach to Non-Convex Multilabeling Problems 

      Bae, Egil; Yuan, Jing; Tai, Xue-Cheng; Boykov, Yuri (Journal article, 2011)
      This work addresses a class of multilabeling problems over a spatially continuous image domain, where the data fidelity term can be any bounded function, not necessarily convex. Two total variation based regularization ...
    • Fast Image Segmentation Using Variational Optimization Methods With Edge Detector 

      Stanislaus, Mary Gerina (Master thesis, 2014-06-02)
      In this work, we apply techniques in variational optimization to image segmentation. We study three different segmentation models: one is based on the active contour method, the second is based on a piecewise constant level ...
    • A fast Level Set Method for Reservoir Simulation 

      Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik (Department of Applied Mathematics report, Research report, 1999-05)
    • Fast robust optimization using bias correction applied to the mean model 

      Wang, Lingya; Oliver, Dean (Peer reviewed; Journal article, 2021)
      Ensemble methods are remarkably powerful for quantifying geological uncertainty. However, the use of the ensemble of reservoir models for robust optimization (RO) can be computationally demanding. The straightforward ...
    • Feasibility of simplified integral equation modeling of low-frequency marine CSEM with a resistive target 

      Bakr, Shaaban Ali; Mannseth, Trond (Peer reviewed; Journal article, 2009)
      We have assessed the accuracy of a simplified integral equation (SIE) modeling approach for marine controlledsource electromagnetics (CSEM) with low applied frequencies and a resistive target. The most computationally ...
    • Field-case simulation of CO2-plume migration using vertical-equilibrium models 

      Nilsen, Halvor Møll; Herrera, Paulo; Ashraf, Seyed Meisam; Ligaard, Ingeborg S.; Iding, Martin; Hermanrud, Christian; Lie, Knut-Andreas; Nordbotten, Jan Martin; Dahle, Helge K.; Keilegavlen, Eirik (Peer reviewed; Journal article, 2011)
      When injected in deep saline aquifers, CO2 moves radially away from the injection well and progressively higher in the formation because of buoyancy forces. Analyzes have shown that after the injection period, CO2 will ...
    • Field-scale impacts of long-term wettability alteration in geological CO2 storage 

      Kassa, Abay; Gasda, Sarah Eileen; Landa-Marbán, David; Sandve, Tor Harald; Kumar, Kundan (Journal article; Peer reviewed, 2022)
      Constitutive functions that govern macroscale capillary pressure and relative permeability are central in constraining both storage efficiency and sealing properties of storage systems. Constitutive functions for porous ...
    • Finite volume discretization for poroelastic media with fractures modeled by contact mechanics 

      Berge, Runar Lie; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin; Wohlmuth, Barbara (Peer reviewed; Journal article, 2020)
      A fractured poroelastic body is considered where the opening of the fractures is governed by a nonpenetration law, whereas slip is described by a Coulomb‐type friction law. This physical model results in a nonlinear ...
    • Finite volume hydromechanical simulation in porous media 

      Nordbotten, Jan Martin (Peer reviewed; Journal article, 2014-05-27)
      Cell-centered finite volume methods are prevailing in numerical simulation of flow in porous media. However, due to the lack of cell-centered finite volume methods for mechanics, coupled flow and deformation is usually ...
    • Finite volume methods for elasticity with weak symmetry 

      Keilegavlen, Eirik; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2017-11)
      We introduce a new cell‐centered finite volume discretization for elasticity with weakly enforced symmetry of the stress tensor. The method is motivated by the need for robust discretization methods for deformation and ...
    • Finite-Element Modelling of Buoyancy-Driven Flow in Natural Geothermal Systems 

      Saltnes, Marie Horn (Master thesis, 2010-05-27)
      Finite element modelling of buoyancy driven flow in geothermal systems is presented in this thesis. The main focus is on the development of a numerical modelling tool. The program developed is tested for classical benchmarks ...
    • A Finite-Volume-Based Module for Unsaturated Poroelasticity 

      Varela, Jhabriel; Gasda, Sarah Eileen; Keilegavlen, Eirik; Nordbotten, Jan Martin (Chapter, 2021)
      In this chapter, we present fv-unsat, a multipoint finite-volume–based solver for unsaturated flow in deformable and nondeformable porous media. The latter is described using the mixed form of Richards’ equation, whereas ...
    • Fish louse and treatment options: A mathematical approach 

      Utåker, Therese Sjøstrøm (Master thesis, 2018-09-04)
    • The Fixed-Stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence 

      Storvik, Erlend; Both, Jakub; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2021)
      The fixed-stress splitting scheme is a popular method for iteratively solving the Biot equations. The method successively solves the flow and mechanics subproblems while adding a stabilizing term to the flow equation, which ...
    • Flexible and rigorous numerical modelling of multiphysics processes in fractured porous media using PorePy 

      Stefansson, Ivar; Varela, Jhabriel; Keilegavlen, Eirik; Berre, Inga (Journal article; Peer reviewed, 2024)
      Multiphysics processes in fractured porous media is a research field of importance for several subsurface applications and has received considerable attention over the last decade. The dynamics are characterized by strong ...
    • Flow in Fractured Porous Media: A Review of Conceptual Models and Discretization Approaches 

      Berre, Inga; Doster, Florian; Keilegavlen, Eirik (Peer reviewed; Journal article, 2019)
      The last decade has seen a strong increase of research into flows in fractured porous media, mainly related to subsurface processes but also in materials science and biological applications, as connected fractures can ...
    • Flow Properties of Fully Nonlinear Model Equations for Surface Waves 

      Khorsand, Zahra (Doctoral thesis, 2017-11-03)
      The focus of this thesis is wave motion in shallow water. In particular, we investigate some properties of flows underneath long waves in shallow water and present the results in two parts. The first part contains a ...
    • The FluidFlower Validation Benchmark Study for the Storage of CO2 

      Flemisch, Bernd; Nordbotten, Jan Martin; Fernø, Martin; Juanes, Ruben; Both, Jakub Wiktor; Class, Holger; Delshad, Mojdeh; Doster, Florian; Ennis-King, Jonathan; Franc, Jacques; Geiger, Sebastian; Gläser, Dennis; Green, Christopher; Gunning, James; Hajibeygi, Hadi; Jackson, Samuel J.; Jammoul, Mohamad; Karra, Satish; Li, Jiawei; Matthäi, Stephan K.; Miller, Terry; Shao, Qi; Spurin, Catherine; Stauffer, Philip; Tchelepi, Hamdi; Tian, Xiaoming; Viswanathan, Hari; Voskov, Denis; Wang, Yuhang; Wapperom, Michiel; Wheeler, Mary F.; Wilkins, Andrew; Youssef, AbdAllah A.; Zhang, Ziliang (Journal article; Peer reviewed, 2023)
      Successful deployment of geological carbon storage (GCS) requires an extensive use of reservoir simulators for screening, ranking and optimization of storage sites. However, the time scales of GCS are such that no sufficient ...