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Reservoir flow simulation using combined vorticity-based gridding and multi-scale upscaling

Mahani, H ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.2118/110306-ms
  3. Publisher: Society of Petroleum Engineers (SPE) , 2007
  4. Abstract:
  5. A novel technique for upscaling of detailed geological reservoir descriptions is presented. The technique aims at reducing both numerical dispersion and homogenization error, generated due to incorporating a coarse computational grid and assigning effective permeability to coarse grid blocks respectively. In particular we consider implicit-pressure explicit-saturation (IMPES) scheme where homogenization error impacts the accuracy of the coarse grid solution of the pressure equation. To reduce the homogenization error, we employ the new vorticity-based gridding that generates a non-uniform coarse grid with high resolution at high vorticity zones. In addition, to control numerical dispersion, we use Dual Mesh Method (DMM), which uses different grids to solve pressure and saturation equations. The coarse grid generated from vorticity is used for computation of pressure and the reference fine grid is used for updating saturation explicitly. The most strong point of the method is that dual mesh method has been incorporated onto non-uniform grid structure. This combination removes the need to solve the full fine grid for two-phase flow modeling, resulting in a less computationally demanding and more accurate upscaling technique. To evaluate the method, we run two-phase simulation using different 2D test cases. Our results indicate that the non-uniform DMM is more accurate than the uniform DMM due to using vorticity-based grids. The speed-up achieved in the computation is significant depending on the complexity of model and degree of upscaling. Copyright 2007, Society of Petroleum Engineers
  6. Keywords:
  7. Dispersions ; Engineers ; Errors ; Gasoline ; Mesh generation ; Numerical methods ; Petroleum reservoir evaluation ; Vorticity ; Coarse grid solution ; Computational grids ; Effective permeability ; Geological reservoirs ; Numerical dispersions ; Saturation equations ; Two phase flow model ; Two-phase simulation ; Two phase flow
  8. Source: Society of Petroleum Engineers - SPE Asia Pacific Oil and Gas Conference and Exhibition 2007 ""Resources, Professionalism, Technology: Time to Deliver"", Jakarta, 30 October 2007 through 1 November 2007 ; Volume 2 , 2007 , Pages 927-946 ; 9781604238594 (ISBN)
  9. URL: https://onepetro.org/SPEAPOG/proceedings-abstract/07APOGCE/All-07APOGCE/SPE-110306-MS/143041