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Near-Well Upscaling to Simulate Wells with Hydraulic Fractures

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Abstract

An important task in reservoir simulation is to take into account the effect of a hydraulic fracture on the well’s performance. The upscaling method allows efficiently computing the inflow into a well with a fracture on a coarse grid. A numerical near-well upscaling procedure for hydraulic fractures on an unstructured Voronoi grid is proposed. The upscaling procedure is shown to be significantly more accurate than the classical EDFM method.

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REFERENCES

  1. M. Karimi-Fard, L. J. Durlofsky, and K. Aziz, “An efficient discrete fracture model applicable for general purpose reservoir simulators,” in Proceedings of the SPE Reservoir Simulation Symposium, Houston, TX, Feb. 3–5,2003.

  2. A. Moinfar, A. Varavei, K. Sepehrnoori, and R. T. Johns, “Development of a novel and computationally-efficient discrete-fracture model to study IOR processes in naturally fractured reservoirs,” in Proceedings of the SPE Improved Oil Recovery Symposium, Tulsa, Oklahoma, USA, Apr. 14–18,2012.

  3. L. Li and S. H. Lee, “Efficient field-scale simulation of black oil in a naturally fractured reservoir through discrete fracture networks and homogenized media,” SPE Reservoir Eval. Eng. 11, 750–758 (2008).

    Article  Google Scholar 

  4. D. W. Peaceman, “Interpretation of well-block pressures in numerical reservoir simulation with nonsquare grid blocks and anisotropic permeability,” Soc. Pet. Eng. J. 23, 531–543 (1983).

    Article  Google Scholar 

  5. C. Wolfsteiner, L. J. Durlofsky, and K. Aziz, “Calculation of well index for nonconventional wells on arbitrary grids,” Comput. Geosci. 7, 61–82 (2003).

    Article  Google Scholar 

  6. O. Mascarenhas and L. J. Durlofsky, “Coarse scale simulation of horizontal wells in heterogeneous reservoirs,” J. Pet. Sci. Eng. 25, 135–147 (2000).

    Article  Google Scholar 

  7. D. Y. Ding, Y. S. Wu, and L. Jeannin, “Efficient simulation of hydraulic fractured wells in unconventional reservoirs,” J. Pet. Sci. Eng. 122, 631–642 (2014).

    Article  Google Scholar 

  8. C. L. Palagi and K. Aziz, “Use of voronoi grid in reservoir simulation,” SPE Adv. Technol. Ser. 2, 69–77 (1994).

    Article  Google Scholar 

  9. A. B. Mazo and K. A. Potashev, “Absolute permeability upscaling for superelement modeling of petroleum reservoir,” Math. Models Comput. Simul. 10, 26–35 (2018).

    Article  MathSciNet  Google Scholar 

  10. V. Artus, D. Fructus, and O. Houze, “Simulation of deviated wells using 3D unstructured grids of flexible resolution,” in Proceedings of the SPE Reservoir Simulation Conference, Montgomery, TX, Feb. 20–22,2017.

  11. Y. Chen, L. J. Durlofsky, M. Gerritsen, and X. H. Wen, “A coupled local-global upscaling approach for simulating flow in highly heterogeneous formations,” Adv. Water Resour. 26, 1041–1060 (2003).

    Article  Google Scholar 

  12. M. Karimi-Fard, and L. J. Durlofsky, “Accurate resolution of near-well effects in upscaled models using flow-based unstructured local grid refinement,” Soc. Pet. Eng. J. 4, 1084–1095 (2012).

    Google Scholar 

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Funding

This work was supported by a grant of the Russian Foundation for Basic Research (project no. 17-41-020226-p_a).

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Correspondence to T. F. Kireev or G. T. Bulgakova.

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Kireev, T.F., Bulgakova, G.T. Near-Well Upscaling to Simulate Wells with Hydraulic Fractures. Math Models Comput Simul 11, 877–883 (2019). https://doi.org/10.1134/S2070048219060097

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  • DOI: https://doi.org/10.1134/S2070048219060097

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