Accurate Streamline Tracing and Coverage
Abstract/Contents
- Abstract
- Because of their efficiency, streamline methods are increasingly used for, amongst others,flow based upscaling, history matching, optimal well placement, and compositional simulation, for which they show great potential. The accuracy of the streamline solutions depends on several factors including the quality of the pressure solve, the numerical scheme used to propagate solution components along streamlines, the mappings between streamlines and pressure grid, and naturally, the quality of the streamline tracing algorithm. Using the homogeneous quarter five spot pattern, for which the exact streamline pattern is known analytically, we show that the errors in streamline location, computed arc length and time of flight can be significant, and can negatively affect the simulation results. The tracing errors are caused by the inaccuracy of the fluxes at the edges of the gridblocks, the choice of streamline launching pattern, and the order of flux interpolation used to compute the velocity field. We have investigated the use of the Mixed Hybrid FiniteElement method for solving the pressure field that is known to provide more accurate fluxes, and discuss when this method leads to superior tracing results over the traditional finite difference method. We also show that a judicious choice of launch locations leads to lower tracing errors, and present two new methods to improve streamline tracing within grid cells. The first is an Adaptive-Mesh-Refinement-inspired tracing method that provides more accurate tracing where needed. The second method is a higher order variation on Pollock's tracing that uses a second order interpolation of the velocity field and, like Pollock's tracing, is efficient and flux conservative.Next, the problem of streamline coverage will be studied. To provide the optimal streamline density in the reservoir, an error indicator is provided that measures the accuracy of the mapping algorithm. Using such an error indicator is necessary in the design of an optimal streamline coverage methodology.
Description
| Type of resource | text |
|---|---|
| Date created | June 2004 |
Creators/Contributors
| Author | Matringe, Sébastien François |
|---|---|
| Primary advisor | Gerritsen, Margot G. |
| Degree granting institution | Stanford University, Department of Petroleum Engineering |
Subjects
| Subject | School of Earth Energy & Environmental Sciences |
|---|---|
| Genre | Thesis |
Bibliographic information
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Preferred citation
- Preferred Citation
- Matringe, Sébastien François. (2004). Accurate Streamline Tracing and Coverage. Stanford Digital Repository. Available at: https://purl.stanford.edu/dw263tg5791
Collection
Master's Theses, Doerr School of Sustainability
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