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평판형 수압파쇄 균열을 통과하는 다공질유동 특성에 관한 DNS 해석 연구

DNS STUDY ON THE FLOW CHARACTERISTICS THROUGH SIMPLE POROUS HYDRAULIC FRACTURES

  • 신창훈 (한국가스공사 가스기술연구원) ;
  • 박원규 (부산대학교 기계공학부)
  • Shin, C.H. (Research Institute, Korea Gas Corporation(KOGAS)) ;
  • Park, W.G. (Dept. of Mechanical Engineering, Busan Nat. Univ.)
  • 투고 : 2016.09.19
  • 심사 : 2016.10.11
  • 발행 : 2016.12.31

초록

The flow analyses through a porous hydraulic fractures is among the most important tasks in recently developed shale reservoirs but is rendered difficult by non-Darcy effects and geometric changes in the hydraulic fractures during production. In this study, several Computational Fluid Dynamics(CFD) models of hydraulic fractures, with a simple shape such as that of parallel plates, filled with proppants were built. Direct Numerical Simulation(DNS) analyses were then carried out to examine the flow loss characteristics of the fractures. The hydraulic diameters for the simulation models were calculated using the DNS results, and then they were compared with the results from Kozeny's definition of hydraulic diameter which is most widely used in the flow analysis field. Also, the characteristic parameters based on both hydraulic diameters were estimated for the investigation of the flow loss variation features. Consequently, it was checked in this study that the hydraulic diameter based on Kozeny's definition is not accordant to the results from the DNS analyses, and the case using the CFD results exhibits f Re robustness like general pipe flows, whereas the other case using Kozeny's definition doesn't. Ultimately, it is expected that discoveries reported in this study would help further porous flow analyses such as hydraulic fracture flows.

키워드

참고문헌

  1. 2016, Shin, C.H. and Park, W.G., "A DNS simulation study for examining the tortuosity effects on the definition of hydraulic diameter and friction factor of a porous medium," Proc. of KSCFE Spring Conference, pp.37-38.
  2. 2010, Cipolla, C.L., Williams, M.J., Weng, X., Mack, M. and Maxwell, S., "Hydraulic fracture monitoring to reservoir simulation: maximizing value," SPE ATCE 2010, SPE 133877.
  3. 1975, Bear, J., Dynamics of fluids in porous media, American Elservier Pub. Inc., pp.27-194.
  4. 1994, Nelson, P.H., "Permeability-porosity relationships in sedi-mentary rocks," The Log Analyst 35(3), pp.38-62.
  5. 1927, Kozeny, J., "Ueber kapillare leitung des wassers im boden," Sitzungsberichte der Akademie der Wissenschaften in Wien, 136, pp.271-306.
  6. 2001, White, F.M., Fluid dynamics, 4th Ed., McGraw-Hill., pp.325-404.
  7. 1938, Carman, P.C., "The determination of the specific surface of powders," Trans. of J. Soc. Chem. Ind., 57(225), pp.225-234.

피인용 문헌

  1. Permeability estimations and frictional flow features passing through porous media comprised of structured microbeads vol.7, pp.12, 2017, https://doi.org/10.1063/1.5017983
  2. A numerical study on the transient aspects of porous flows and the applicability of Darcy’s friction flow relation vol.32, pp.4, 2018, https://doi.org/10.1007/s12206-018-0316-4