Blar i Department of Mathematics på dokumenttype "Chapter"
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An Approach for Investigation of Geochemical Rock-Fluid Interactions
(Chapter, 2014)Geochemistry has a substantial impact in exploiting of geothermal systems. When water is injected in a geothermal reservoir, the injected water and in-situ brine have different temperatures and chemical compositions and ... -
Co2 trapping in sloping aquafiers: High resolution numerical simulations
(Chapter, 2010) -
A Continuous Max-Flow Approach to Minimal Partitions with Label Cost Prior
(Chapter; Peer reviewed, 2011)This paper investigates a convex relaxation approach for minimum description length (MDL) based image partitioning or labeling, which proposes an energy functional regularized by the spatial smoothness prior joint with a ... -
Cyclic homology in a special world
(Chapter, 2020)In work of Connes and Consani, Γ-spaces have taken a new importance. Segal introduced Γ-spaces in order to study stable homotopy theory, but the new perspective makes it apparent that also information about the unstable ... -
Domain decomposition preconditioning for non-linear elasticity problems
(Chapter; Peer reviewed, 2014)We consider domain decomposition techniques for a non-linear elasticity problem. Our main focus is on non-linear preconditioning, realized in the framework of additive Schwarz preconditioned inexact Newton (ASPIN) methods. ... -
Effective permeability of deformation bands in fault damage zones – Can deformation bands reduce the risk of fault leakage?
(SINTEF Proceedings;7, Chapter, 2021)Faults are major geological structures that can dominate the flow paths in subsurface reservoirs by, e.g., connecting otherwise unconnected layers. In CO2 storage sites where the faults act as the main structural trap, the ... -
A Finite-Volume-Based Module for Unsaturated Poroelasticity
(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 ... -
Mass Conservative Domain Decomposition for Porous Media Flow
(Chapter, 2012-03-28) -
Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments
(Lecture Notes in Computational Science and Engineering, Chapter; Peer reviewed; Journal article, 2019)Starting with the discovery of X-rays by Röntgen in 1895, the progress in medical imaging has been extraordinary and immensely beneficial to diagnosis and therapy. Parallel to the increase of imaging accuracy, there is the ... -
Modelling Geomechanical Impact of CO2 Injection Using Precomputed Response Functions
(Chapter; Peer reviewed, 2016)When injecting CO2 or other fluids into a geological formation, pressure plays an important role both as a driver of flow and as a risk factor for mechanical integrity. The full effect of geomechanics on aquifer flow can ... -
Multiscale Simulation of Non-Darcy Flows
(Chapter; Peer reviewed, 2012-06)In this work we present control volume multiscale methods which address problems on the interaction between pore scale and Darcy scale. For the case when linear equations govern the ow on the pore scale our solution converges ... -
Reactivation of fractures in subsurface reservoirs - A numerical approach using a static-dynamic friction model
(Chapter; Peer reviewed; Journal article, 2019)Fluid-induced slip of fractures is characterized by strong multiphysics couplings. Three physical processes are considered: Flow, rock deformation and fracture deformation. The fractures are represented as lower-dimensional ... -
Reexamining CO2 Storage Capacity and Utilization of the Utsira Formation
(Chapter, 2014)In this work we provide estimates of CO2 storage capacity of the Utsira Formation using the recently provided datasets from the Norwegian Petroleum Directorate, taking CO2 density variation into account. We also investigate ... -
Sparse-Data Based 3D Surface Reconstruction for Cartoon and Map
(Chapter, 2018)A model combining the first-order and the second-order variational regularizations for the purpose of 3D surface reconstruction based on 2D sparse data is proposed. The model includes a hybrid fidelity constraint which ... -
A Streamline Front Tracking Method for Two- and Three-Phase Flow Including Capillary Forces
(Contemporary Mathematics; 295, Chapter, 2002) -
A Study on Continuous Max-Flow and Min-Cut Approaches
(Chapter; Peer reviewed, 2010)We propose and investigate novel max-flow models in the spatially continuous setting, with or without supervised constraints, under a comparative study of graph based max-flow / min-cut. We show that the continuous max-flow ...