Blar i Department of Mathematics på tittel
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Model development for efficient simulation of CO2 storage
(Doctoral thesis, 2018-02-16)Carbon capture and storage (CCS) is an important component of several initiatives to reduce global greenhouse gas emissions by injecting and storing CO2 in underground reservoirs. Simulation technology plays an important ... -
Model selection and parameter estimation for root architecture models using likelihood-free inference
(Peer reviewed; Journal article, 2019)Plant root systems play vital roles in the biosphere, environment and agriculture, but the quantitative principles governing their growth and architecture remain poorly understood. The ‘forward problem’ of what root forms ... -
Model Spaces in Riemannian and Sub-Riemannian Geometries
(Master thesis, 2018-06-27)The development of Riemannian geometry has been highly influenced by certain spaces with maximal symmetry called model spaces. Following in the footsteps of Klein's Erlangen program, model spaces fit with the approach of ... -
Modeling a 3-D multiscale blood-flow and heat-transfer framework for realistic vascular systems
(Journal article; Peer reviewed, 2022)Modeling of biological domains and simulation of biophysical processes occurring in them can help inform medical procedures. However, when considering complex domains such as large regions of the human body, the complexities ... -
Modeling and discretization of flow in porous media with thin, full-tensor permeability inclusions
(Journal article; Peer reviewed, 2021)When modeling fluid flow in fractured reservoirs, it is common to represent the fractures as lower-dimensional inclusions embedded in the host medium. Existing discretizations of flow in porous media with thin inclusions ... -
Modeling and simulation of blood circulation and perfusion
(Doctoral thesis, 2023-06-16)Numeriske simuleringer har hatt vesentlig betydning for vår forståelse av perfusjon og blodsirkulasjon, og simuleringer gir også viktig innsikt under utviklingen av medisinske anvendelser. Teknologiske fremskritt har ... -
Modeling and simulation of concrete carbonation in 1-d using two-point flux approximation
(Master thesis, 2013-11-21)In this master's thesis we will model concrete carbonation using mass conservation equations and Darcy's law. We then get a set of coupled partial differential equations. We also have a ordinary differential equation ... -
Modeling and Simulation of Microbial Enhanced Oil Recovery: A New Approach which Includes the Role of Interfacial Area
(Master thesis, 2016-05-31)In today's world, oil remains the main source of energy. After discovering a petroleum reservoir, one can extract about 30% of the oil by using and maintaining the initial pressure in the reservoir through water ooding ... -
Modeling and Upscaling of Deformation Bands in Fault Damage Zones
(Master thesis, 2008) -
Modeling Dissolution within Vertically Averaged Formulations
(Master thesis, 2010-06-10)In this thesis we develop a mathematical model describing the migration and trapping of CO2 when injecting it in a deep saline aquifer. Both the migration and trapping processes are inherently complex, spanning multiple ... -
Modeling In Vivo Interstitial Hydration-Pressure Relationships in Skin and Skeletal Muscle
(Peer reviewed; Journal article, 2018-09)A theoretical understanding of hydrostatic pressure-fluid volume relationships, or equations of state, of interstitial fluid in skin and skeletal muscle through mathematical/physical modeling is lacking. Here, we investigate ... -
Modeling of heat transfer in porous media in the context of geothermal energy extraction
(Doctoral thesis, 2015-10-02)This dissertation concerns mathematical modeling related to heat transfer in the subsurface relevant for geothermal energy extraction. Two applications are considered: First, natural convection in a homogeneous porous ... -
Modeling of Multi Phase Flow in Porous Media: Operator Splitting, Front Tracking, Interfacial Area and Network Models
(Doctoral thesis, 2001-12-20)In this work several new numerical methods and a new mathematical model related to multi phase flow in oil reservoirs have been developed, implemented and tested. The numerical difficulties in multi phase flow stem from ... -
Modeling of oil reservoirs with focus on microbial induced effects
(Master thesis, 2014-11-01)As an abstract to this thesis, we review some literatures in EOR and discussed the processes, strength and weakness of Microbial Enhanced Oil Recovery techniques. A two phase flow model comprising water and oil via the ... -
Modeling of relative permeabilities including dynamic wettability transition zones
(Journal article; Peer reviewed, 2021)Wettability is a pore-scale property that impacts the relative movement and distribution of fluids in a porous medium. There are reservoir fluids that provoke the surface within pores to undergo a wettability change. This ... -
Modeling the Process of Speciation Using a Multiscale Framework Including A Posteriori Error Estimates
(Journal article; Peer reviewed, 2022)This paper concerns the modeling and numerical simulation of the process of speciation. In particular, given conditions for which one or more speciation events within an ecosystem occur, our aim is to develop the necessary ... -
Modellering av Antropogenisk Allee Effekt (AAE)
(Master thesis, 2017-11-13) -
Modellering og estimering av romlig avhengighet i forsikring
(Master thesis, 2015-06-01)De seneste årene har det blitt publisert flere studier hvor bayesianske hierarkiske modeller, med gitte spatiale avhengighetsstrukturer, blir foreslått som potensielle verktøy i forsikringsselskapers arbeid rettet mot ... -
Modelling and simulation of thermo-hydro-mechanical processes in fractured porous media
(Doctoral thesis, 2021-02-26)Understanding and predicting processes in fractured porous media is of wide interest, with applications such as geothermal energy extraction, water management and storage of CO$_2$ and energy. Characterisation and monitoring ... -
Modelling clusters of corporate defaults: Regime-switching models significantly reduce the contagion source
(Journal article; Peer reviewed, 2022)In this paper, we report robust evidence that the process of corporate defaults is time-dependent and can be modelled by extending an autoregressive count time series model class via the introduction of regime-switching. ...