Study on the Application of the Tie-Line-Table-Look-Up-Based Methods to Flash Calculations in Compositional Simulations
- Wei Yan (CERE) | Abdelkrim Belkadi (Center for Energy Resources Engineering) | Erling Halfdan Stenby (Technical University of Denmark) | Michael Michelsen (DTU)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- May 2013
- Document Type
- Journal Paper
- 932 - 942
- 2013. Society of Petroleum Engineers
- 5.5.7 Streamline Simulation, 5.2.2 Fluid Modeling, Equations of State, 5.5 Reservoir Simulation
- 2 in the last 30 days
- 244 since 2007
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Flash calculation can be a time-consuming part in compositional reservoirsimulations, and several approaches have been proposed to speed it up. Onerecent approach is the shadow-region method that reduces the computation timemainly by skipping stability analysis for a large portion of the compositionsin the single-phase region. In the two-phase region, a highly efficientNewton-Raphson algorithm can be used with the initial estimates from theprevious step. Another approach is the compositional-space adaptive tabulation(CSAT) approach, which is based on tie-line table look-up (TTL). It savescomputation time by replacing rigorous phase-equilibrium calculations with thestored results in a tie-line table whenever the new feed composition is on oneof the stored tie-lines within a certain tolerance. In this study, a modifiedversion of CSAT, named the TTL method, has been proposed to investigate ifapproximation by looking up a tie-line table can save flash-computation time inthe two-phase region. The number of tie-lines stored for comparison and thetolerance set for accepting the feed composition are the key parameters in thismethod because they will influence the simulation speed and the accuracy ofsimulation results. We also proposed the tie-line distance-based approximation(TDBA) method, an alternative method to TTL, to obtain approximate flashresults in the two-phase region. The method uses the distance to a previoustie-line in the same gridblock to determine whether the approximation should bemade. Comparison between the shadow-region approach and the approximationapproach, including TTL and TDBA, has been made with a slimtube simulator bywhich the simulation temperature and the simulation pressure are set constant.It is shown that TDBA can significantly improve the speed in the two-phaseregion. In contrast, TTL, even with a precalculated tie-line table, is not soadvantageous compared with an efficient implementation of rigorous flash.Furthermore, we implemented TDBA in a compositional streamline simulator toapply TDBA to scenarios with pressure variation across the reservoir. We alsodiscussed how to extend TDBA to the general situation in which pressures ingridblocks are updated dynamically.
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