SPE Journal
Volume 16, Number 4, December 2011, pp. 828-841

SPE-129774-PA

Analytical Upgridding of Geocellular Model in the Presence of Gravity-Dominated Displacement

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DOI  More information 10.2118/129774-PA http://dx.doi.org/10.2118/129774-PA

Citation

  • Rittirong, A. and Kelkar, M. 2011. Analytical Upgridding of Geocellular Model in the Presence of Gravity-Dominated Displacement. SPE J.  16 (4): 828-841. SPE-129774-PA. http://dx.doi.org/10.2118/129774-PA.

Discipline Categories

  • 6.5 Reservoir Simulation
  • 6.5.3 Scaling Methods

Keywords

  • Upgridding, Upscaling, Gravity Dominated Displacement, Displacement, coarsening method

Summary

In simulating enhanced-oil-recovery (EOR) processes, it is critical that all the flow behaviors be properly accounted for in the simulation. Because of computation limitations, long calculation time, and complexity of physics, geological models cannot be directly used for fieldwide simulations. Upgridding reduces the number of gridblocks in the simulation model and therefore makes the simulation more efficient. An appropriate upgridding process needs to preserve the dynamic behavior of the fine-scale model.

We propose such an analytical methodology. Our new technique is based on preserving the characteristics, which are based on the fractional-flow concept specifically modified for vertical flow between the layers. We develop our method with a specific application to gravity-dominated displacement. In upgridding the fine-scale model, we have developed a criterion by which the sequence in which the fine-scale layers are combined is proposed such that fractional-flow characteristics based on the fine-scale model are honored. Using this methodology, we can determine not only the sequence in which layers are combined, but also to what extent we can upgrid the fine-scale model.

The proposed methodology is developed for two-phase, 2D flow under the effect of gravity-segregated displacement. However, it is also tested for three-phase, 3D flow in gravity-dominated displacement with moderate effect of viscous and capillary forces. The proposed solution is analytical; therefore, it is computationally efficient. We have validated the methodology with both synthetic and field examples and demonstrate that the proposed methodology is superior to conventional proportional layering and variance-based methodologies.

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History

  • Original manuscript received: 4 March 2010
  • Meeting paper published: 25 April 2010
  • Revised manuscript received: 21 February 2011
  • Manuscript approved: 5 May 2011
  • Published online: 12 October 2011
  • Version of record: 23 December 2011