A5078812575- Computational Fluid Dynamics and Aerodynamics
- Fluid Dynamics and Turbulent Flows
- Enhanced Oil Recovery Techniques
- Navier-Stokes equation solutions
- Hydraulic Fracturing and Reservoir Analysis
- Advanced Mathematical Modeling in Engineering
- Hydrocarbon exploration and reservoir analysis
- Cancer Cells and Metastasis
- Reservoir Engineering and Simulation Methods
- Cellular Mechanics and Interactions
- Mathematical Biology Tumor Growth
- Advanced Mathematical Physics Problems
- Advanced Numerical Methods in Computational Mathematics
- Differential Equations and Numerical Methods
- Gas Dynamics and Kinetic Theory
- Groundwater flow and contamination studies
- Model Reduction and Neural Networks
- 3D Printing in Biomedical Research
- Lattice Boltzmann Simulation Studies
- Nonlinear Partial Differential Equations
- Stability and Controllability of Differential Equations
- Meteorological Phenomena and Simulations
- Drilling and Well Engineering
- Numerical methods for differential equations
- Material Properties and Processing
University of Stavanger
2015-2024
NORCE Norwegian Research Centre
2017
International Research Institute of Stavanger
2001-2011
University of Oslo
2008
University of Bergen
1998-2000
Abstract The potential of low salinity water flooding (LSWF) to improve oil recovery in sandstone cores has been well documented. objective this paper is further development and examination a one-dimensional mathematical model for the study laboratory experiments. describes how dissolution/precipitation various carbonate minerals multiple ion-exchange (MIE) will have an impact on water-oil flow function. formulated such that total release divalent cations from rock surface give rise change...
We consider consistent, conservative-form, monotone difference schemes for nonlinear convection-diffusion equations in one space dimension. Since we allow the diffusion term to be strongly degenerate, solutions can discontinuous and, general, are not uniquely determined by their data. Here choose work with weak that belong BV (in and time) class addition, satisfy an entropy condition. A recent result of Wu Yin [ Northeastern Math J., 5 (1989), pp. 395--422] states these so-called unique. The...
We explore the relationship between two common two‐phase flow models, usually denoted as two‐fluid and drift‐flux models. They differ in their mathematical description of momentum transfer phases. In this paper we provide a framework which these model formulations are unified. The employs mixture equation treats interphasic exchange indirectly through slip relation, gives relative velocity phases function parameters. This closure law is general highly complex, makes it difficult to analyze...
We study a viscous two-phase liquid-gas model relevant for welland pipe flow modelling. The gas is assumed to be polytropicwhereas the liquid treated as an incompressible fluid leadingto pressure law which becomes singular when transition tosingle-phase occurs. In order handle thisdifficulty we reformulate in terms of Lagrangianvariables and free-boundary setting where thegas mass are compact support initially anddiscontinuous at boundaries. Then, by applying appropriatevariable...
The purpose of this paper is to establish a local in time existence result for compressible gas-liquid model. model drift-flux which composed two continuity equations and one mixture momentum equation supplemented with slip relation order take into account the possibility flows unequal fluid velocities. highly relevant modeling gas kick oil wells, its worst case can lead blowout scenarios. mathematical study such kinds models important development simulation tools that be employed increased...
Previous experimental studies of spontaneous imbibition on chalk core plugs have shown that seawatermay change the wettability in direction more water-wet conditions reservoirs.One possible explanation for this alteration is variousions water phase (sulphate, calcium, magnesium, etc.) enter theformation due to molecular diffusion.This creates a non-equilibrium state porespace results chemical reactions aqueous as well aspossible water-rock interaction terms dissolution/precipitation minerals...
In this paper, we consider the Dirichlet problem of a one-velocity viscous drift-flux model. One phases is compressible, other one weakly compressible. Under weak assumptions on initial data, which can be discontinuous and large as well involve transition to pure single-phase points or regions, show existence global bounded solutions. main ingredient that employ decomposition pressure term appearing in mixture momentum equation into two components, for each phases. This paves way deriving...
Summary This paper presents a numerical study of water displacing oil using combined cocurrent/countercurrent spontaneous imbibition (SI) from water-wet matrix block exposed to on one side and the other. Countercurrent flows can induce stronger viscous coupling than during cocurrent flows, leading deceleration phases. Even as displaces cocurrently, saturation gradient in induces countercurrent capillary diffusion. The extent flow may dominate domain near water-exposed surfaces while...
We present a multistage centered scheme, of the kind proposed by Toro [Appl. Numer. Math., 56 (2006), pp. 1464–1479], for numerically resolving simultaneous flow two fluids through transport pipeline. This model contains nonconservative terms in both temporal and spatial derivatives, an extension standard numerical framework conservation laws is needed. In this paper, we rewrite equivalent mathematical form, eliminating time derivatives. allows us to use described Parés [SIAM J. Anal., 44...