A fast marching method for reservoir simulation

Computational Geosciences

Volumn 4, Issue 2, 2000, Pages 185-206

  Karlsen, K Hvistendahl ^a   Lie, K A ^b   Risebro, N H ^b  

^a UNIVERSITY OF BERGEN   (Norway)

^b UNIVERSITY OF OSLO   (Norway)

Author keywords

Fast marching method; Level set method; Numerical examples; Oil reservoir simulation

Indexed keywords

HYDROCARBON RESERVOIR; IMMISCIBLE FLUIDS; INCOMPRESSIBLE FLOW; MATHEMATICAL METHOD; TWO-PHASE FLOW;

HYDROCARBON RESERVOIR; IMMISCIBLE FLUID; INCOMPRESSIBLE FLOW; NUMERICAL METHOD; TWO PHASE FLOW;

EID: 0034534788     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011564017218     Document Type: Article

References (32)

1. A fast level set method for propagating interfaces
2. A level set algorithm for tracking discontinuities in hyperbolic conservation laws, I. Scalar equations
3. Three-dimensional reservoir simulation based on front tracking
4. FRONTLINE and FRONTSIM: Two full scale, two-phase, black oil reservoir simulators based on front tracking
5. Streamline computations for porous media flow including gravity
6. Mathematical models and finite elements for reservoir simulation
7. Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
8. User's guide to viscosity solutions of second order partial differential equations
9. Viscosity solutions of Hamilton-Jacobi equations
10. Polygonal approximation of solutions of the initial value problem for a conservation law
11. Numerical solution of reservoir flow models based on large time step operator splitting algorithms
12. Motion of level sets by mean curvature
13. Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations
14. Level sets of viscosity solutions: Some applications to fronts and rendez-vous problems
15. Numerical solution of the polymer system by front tracking
16. On scalar conservation laws in one-dimension
17. A numerical method for first order nonlinear scalar conservation laws in one-dimension
18. A method of fractional steps for scalar conservation laws without the CFL condition
19. Streamline simulation: A current perspective
20. First order quasi-linear equations in several independent variables
21. A dimensional splitting method for quasilinear hyperbolic equations with variable coefficients
22. Dimensional splitting with front tracking and adaptive grid refinement
23. Discontinuous solutions of non-linear differential equations
24. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
25. A fast marching level set method for monotonically advancing fronts
26. Evolving interfaces in geometry, fluid mechanics, computer vision, and materials science
27. Theory, algorithms, and applications of level set methods for propagating interfaces
28. Front propagation: Theory and applications