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Analysis of the transient flow of non Newtonian power law fluids in homogeneous reservoirs with the elastic outer boundary

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Since some oil fields have entered the late stage of high water-cut development, the use of polymer flooding and other oil recovery technologies makes the fluid be of non-Newtonian characteristics, but the existing elastic outer boundary percolation model ignores this point. Firstly, this paper establishes a non-Newtonian power-law fluid percolation model with the elastic outer boundary condition. Secondly, the analytical solution of the percolation model is obtained in the Laplace space by the structural method. Thirdly, the double logarithmic characteristic curves are drawn. Finally, the sensitivity analysis of the parameters is carried out. The results show that the wellbore storage coefficient and skin factor play important roles in the early stage of the double logarithmic curves. For the radial flow stage and the later flow stage, the main influence factors are the power-law index, the elastic coefficient and outer boundary radius, respectively. It is concluded that the percolation model established in this paper provides a theoretical basis for reasonably solving the problem that the previous data deviation could not explain the reservoir parameters well. Meanwhile, the application of the structural method can provide a scientific calculation method for the well test analysis of non-Newtonian power-law fluids.
Czasopismo
Rocznik
Strony
1865--1875
Opis fizyczny
Bibliogr. 33 poz.
Twórcy
  • School of Science, Southwest Petroleum University, Chengdu 610500, Sichuan, China
  • Institute for Artifcial Intelligence, Southwest Petroleum University, Chengdu 610500, Sichuan, China
autor
  • School of Science, Southwest Petroleum University, Chengdu 610500, Sichuan, China
  • Institute for Artifcial Intelligence, Southwest Petroleum University, Chengdu 610500, Sichuan, China
Bibliografia
  • 1. AlSofi AM, Blunt MJ (2010) Streamline-based simulation of non-Newtonian polymer flooding. SPE J 15(4):901–911. https://doi.org/10.2118/123971-PA
  • 2. Arroyo JJ, Garay ÓJ, Pámpano Á (2020) Boundary value problems for Euler-Bernoulli planar elastica. a solution construction procedure. J Elasticity 139(2):359–388. https://doi.org/10.1007/s10659-019-09755-7
  • 3. Domnich AA, Artemov MA, Shishkina OY (2020) On the boundary value problem for a model of nonisothermal flows of a non-Newtonian fluid. J Appl Ind Math 14(1):37–45. https://doi.org/10.1134/S1990478920010056
  • 4. Dong XX, Liu ZB, Li SC (2019) Similar constructing method for solving nonlinear spherical seepage model with quadratic pressure gradient of three-region composite fractal reservoir. Comput Appl Math 38(2):1–27. https://doi.org/10.1007/s40314-019-0847-z
  • 5. Ge JL (2003) The modern mechanics of fluids flow in oil reservoir. Petroleum Industry Press, Beijing
  • 6. Ikoku CU, Ramey HJ (1979) Transient flow of non-Newtonian power-law fluids in porous media. SPEJ 19(3):164–174. https://doi.org/10.2118/7139-PA
  • 7. Jia ZC, Li DL, Yang JH, Xue ZG, Lu DT (2015) Numerical well test analysis for polymer flooding considering the non-Newtonian behavior. J Chem. https://doi.org/10.1155/2015/107625
  • 8. Jin LC, Tao L, Li DC (2019) Injection fall-off analysis and interpretation of horizontal wells in polymer flooding. J Pet Sci Eng 182:106331. https://doi.org/10.1016/j.petrol.2019.106331
  • 9. Kong XY (2010) Transport in Porous Media. Printing House of University of Science and Technology of China, Hefei
  • 10. Landau LD, Lifschitz EM (1970) Theory of Elasticity(2nd). Pergamon Press Ltd., London
  • 11. Leng LH, Zheng PS, Li SC (2017) Similar construction method of the boundary value problem in the extend modified Bessel equation. Bull Sci Technol 33, 1–3 (in Chinese). https://doi.org/10.13774/j.cnki.kjtb.2017.08.001
  • 12. Li BY (1992) A New well testing analysis method for horizontal well in thick oil reservoirs. J Southwest Petroleum Institute 4:51–57 ((in Chinese))
  • 13. Li CL (2003) The relationship between rock compressibility and porosity. China Offshore Oil Gas (geol) 17:355–358 ((in Chinese))
  • 14. Li SC, Wu XQ (2013) Several Important Properties for the Boundary Value Problems of Second-order Linear Homogeneous Differential Equation. J Xihua University (natural Science Edition) 32(1):23–26 ((in Chinese))
  • 15. Li SC, Zhang D, Zheng PS, Gui QM (2017) Similar structure of solution for triple media shale gas reservoir. J Pet Sci Eng 152:67–80. https://doi.org/10.1016/j.petrol.2017.02.008
  • 16. Li SC, Zhao CC, Zheng PS, Gui QM (2019) Analysis of oil and gas flow characteristics in the reservoir with the elastic outer boundary. J Pet Sci Eng 175:280–285. https://doi.org/10.1016/j.petrol.2018.12.042
  • 17. Li SC, Guo H, Zheng PS, Dong XX, Zhao CC, Gui QM (2020) The elastic boundary value problem of extended modified bessel equation and its application in fractal homogeneous reservoir. Comput Appl Math 39(2):1–16. https://doi.org/10.1007/s40314-020-1104-1
  • 18. Liang GY, Liao XW, Wan GF, Liao HM (2010) Effective wellbore radius and typical curve characteristics of well test analysis: non-Newtonian Power-law Fluids. Sci Techno Rev 28(13):58–61 ((in Chinese))
  • 19. Liu CQ (1988) Transient spherical flow of non-Newtonian power-law fluids in porous media. Appl Math Mech 9(6):521–525. https://doi.org/10.1007/BF02465407
  • 20. Liu SS, Liu SD (2002) Special Functions (2nd). Meteorological Press, Beijing
  • 21. Liu WT, Zhang DF, Cheng HJ, Wang XG (2019) Well test model of three parts composite reservoirs with Newton/non-Newton/Newton for polymer flooding. Reserv Eval Dev 9(4) 26–30. (in Chinese). https://doi.org/10.13809/j.cnki.cn32-1825/te.2019.04.005
  • 22. Luan ZA (1981) Analytical solution for transient flow of non-newtonian fluids in naturally fractured reservoirs. ACTA PETROLEI SINICA 4:75–79 ((in Chinese))
  • 23. Lund O, Ikoku CU (1981) Pressure transient-behavior of non-newtonian newtonian fluid composite reservoirs. Soc Petrol Eng J 21(02):271–280. https://doi.org/10.2118/9401-PA
  • 24. Marshall A (1920) Principles of economics. London Macmillan and Co, London
  • 25. Ren JJ, Guo P, Wang ZH, Zhang XL (2012) Well Test Analysis of Non-newtonian Power Law Fluid in Triple-pore and Double-permeability Reservoirs. Spec Oil Gas Reserv 19(6) 76–80. (in Chinese). https://doi.org/10.3969/j.issn. 1006-6535.2012.06.018
  • 26. Song KP, Wang L, Ji BY (1996) Well test analysis of a compound reservoir with non-newtonian and newtonian fluid flow. Acta Petrolei Sinica 1:82–86 ((in Chinese))
  • 27. Stehfest H (1970) Numerical inversion of Laplace transforms. J Com ACM 13(10):624. https://doi.org/10.1145/355598.362787
  • 28. Vongvuthipornchai S, Raghavan R (1987) Well test analysis of data dominated by storage and skin: non-Newtonian power-law fluids. SPE Form Eval 2(4):618–628. https://doi.org/10.2118/14454-PA
  • 29. Woods JH, Sauro HM (1997) Elasticities in metabolic control analysis: algebraic derivation of simplified expressions. Comput Appl Biosci 13(2):123–130. https://doi.org/10.1093/bioinformatics/13.2.123
  • 30. Zelenyuk V (2013) A scale elasticity measure for directional distance function and its dual: theory and DEA estimation. European J Oper Res 228(3):592–600. https://doi.org/10.1016/j.ejor.2013.01.012
  • 31. Zhang HR, Hao B (2007) Higher algebra (5nd). Higher Education Press, Beijing
  • 32. Zhao YL, Zhang LH, Qing SL (2010) Well test model and typical curve analysis of non-Newtonian fluid’s transient flow in triple media reservoirs. Chin J Hydrodyn 25(2) 254–261. (in Chinese). https://doi.org/10.3969/j.issn.1000-4874. 2010. 02.016
  • 33. Zhao JZ, Sheng CC, Li YM, Li SC (2015) A mathematical model for the analysis of the pressure transient response of fluid flow in fractal reservoir. J Chem 3:1–8. https://doi.org/10.1155/2015/596597
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-66a0f315-6a27-4ab7-8470-c609dbd592a3
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