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Study of heterogeneity loss in upscaling of geological maps by introducing a cluster-based heterogeneity number

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  • Ganjeh-Ghazvini, Mostafa
  • Masihi, Mohsen
  • Baghalha, Morteza

Abstract

The prediction of flow behavior in porous media can provide useful insights into the mechanisms involved in CO2 sequestration, petroleum engineering and hydrology. The multi-phase flow is usually simulated by solving the governing equations over an efficient model. The geostatistical (or fine grid) models are rarely used for simulation purposes because they have too many cells. A common approach is to coarsen a fine gird realization by an upscaling method. Although upscaling can speed up the flow simulation, it neglects the fine scale heterogeneity. The heterogeneity loss reduces the accuracy of simulation results.

Suggested Citation

  • Ganjeh-Ghazvini, Mostafa & Masihi, Mohsen & Baghalha, Morteza, 2015. "Study of heterogeneity loss in upscaling of geological maps by introducing a cluster-based heterogeneity number," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 1-13.
    • Handle: RePEc:eee:phsmap:v:436:y:2015:i:c:p:1-13
    DOI: 10.1016/j.physa.2015.05.010
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    References listed on IDEAS

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    1. Stevenson, Kristen & Ferer, Martin & Bromhal, Grant S. & Gump, Jared & Wilder, Joseph & Smith, Duane H., 2006. "2-D network model simulations of miscible two-phase flow displacements in porous media: Effects of heterogeneity and viscosity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 7-24.
    2. Hyndman, Rob J. & Koehler, Anne B., 2006. "Another look at measures of forecast accuracy," International Journal of Forecasting, Elsevier, vol. 22(4), pages 679-688.
    3. Ganjeh-Ghazvini, Mostafa & Masihi, Mohsen & Ghaedi, Mojtaba, 2014. "Random walk–percolation-based modeling of two-phase flow in porous media: Breakthrough time and net to gross ratio estimation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 214-221.
    4. Pancaldi, Vera & King, Peter R. & Christensen, Kim, 2008. "Wavelet-based upscaling of advection equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4760-4770.
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