Direct Discretization of the Tie-Line Space for Compositional Flow Simulation
Abstract/Contents
- Abstract
- We present a new and efficient methodology for the explicit representation of thermodynamic phase behavior associated with multicomponent two-phase flow in porous media. The method is based on interpolation in the discretized tie-line (Gamma) space. Since a large number of supporting points may be required needed for direct discretization of the Gamma-space, the discretization is performed adaptively during the simulation. A procedure based on the generalization of the octree data structure is proposed for adaptive discretization of the Gamma-space, which can be of arbitrary dimension. Then, the tie-lines space is tessellated using Delaunay triangulation and the natural-neighbor interpolation technique is used inside a simplex. It is important to note that the EoS computations need to performed only for a limited number of supporting points and that a different EoS model (or EoS-free model) can be used for different regions of the Gamma-space. Based on this method, a new nonlinear formulation for general purpose compositional simulation for both immiscible and miscible displacements is proposed. The representation of the sub-critical space is based on the tie-line variables; whereas the super-critical space is parametrized using overall compositions as nonlinear unknowns. Variable substitution is based on the parametrized critical tie-line and the Minimal Critical Pressure criterion. Numerical experiments indicate that the proposed approach reduces the cost of the thermodynamic related computations quite substantially compared with the standard methods.
Description
| Type of resource | text |
|---|---|
| Date created | June 2011 |
Creators/Contributors
| Author | Zaydullin, Rustem |
|---|---|
| Primary advisor | Tchelepi, Hamdi A. |
| Degree granting institution | Stanford University, Department of Energy Resources Engineering |
Subjects
| Subject | School of Earth Energy & Environmental Sciences |
|---|---|
| Genre | Thesis |
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Preferred citation
- Preferred Citation
- Zaydullin, Rustem. (2011). Direct Discretization of the Tie-Line Space for Compositional Flow Simulation. Stanford Digital Repository. Available at: https://purl.stanford.edu/xy213tq3953
Collection
Master's Theses, Doerr School of Sustainability
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