Analysis of fluid flow characteristics in spherical nonlinear seepage flow model for dual-porous reservoir with the elastic outer boundary

Barenblatt GI, Zheltov IP, Kochina IN (1960) Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (strata). Appl Math Mech 24(05):1286–1303. https://doi.org/10.1016/0021-8928(60)90107-6

Article  Google Scholar 

Bao XT, Li SC, Gui DD (2013) Similar constructive method for solving the nonlinear spherical percolation model in dual-porosity media. Adv Mater Res. https://doi.org/10.4028/www.scientific.net/AMR.631-632.265

Article  Google Scholar 

Brigham WE, Peden JM, Ng KF, et al. (1980) he analysis of spherical flow with wellbore storage. SPE., 21–24. https://doi.org/10.2118/9294-MS

Chakrabarty C, Farouq ASM, Tortike WS (1993) Analytical solutions for radial pressure distribution including the effects of the quadratic gradient term. Water Res Res 29(04):1171–1177

Article  Google Scholar 

Chatas AT (1966) Unsteady spherical flow in petroleum reservoirs. Soc Petrol Eng J 6(02):102–114. https://doi.org/10.2118/1305-PA

Article  Google Scholar 

Conoir J, Norris AN (2010) Effective wavenumbers and reflection coefficients for an elastic medium containing random configurations of cylindrical scatterers. Wave Motion 47(3):183–197. https://doi.org/10.1016/j.wavemoti.2009.09.004

Article  Google Scholar 

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

Article  CAS  Google Scholar 

Joseph JA, Koederitz LF (1984) Unsteady-state spherical flow with storage and skin. Soc Petrol Eng J 25(06):804–822. https://doi.org/10.2118/12950-PA

Article  Google Scholar 

Jia YL, Nie RS, Wang YH et al (2008) The solution of quadratic gradient nonlinear seepage flow problem. J Oil Gas Technol 30(04):119–123

Google Scholar 

Kim SC, Han CG, Rim MW et al (2021) Analyzing fluid flow characteristics in a dual-porosity reservoir with an elastic outer boundary. Acta Geophys 69:1843–1853. https://doi.org/10.1007/s11600-021-00621-6

Article  Google Scholar 

Kong XY (2010) Advanced Seepage Mechanics, 2nd edn. University of Science and Technology of China Press, Hefei

Google Scholar 

Li SC, Zhao CC, Zheng PS et al (2018) Analysis of oil and gas flow characteristics in the reservoir with the elastic outer boundary. J Petrol Sci Eng 175:280–285. https://doi.org/10.1016/j.petrol.2018.12.042

Article  CAS  Google Scholar 

Li SC, Zhou M, Zheng PS et al (2020) Analysis of seepage pressure in dual-porosity reservoir under elastic boundary. Math Comput Sci 10:316–338. https://doi.org/10.28919/jmcs/4376

Article  Google Scholar 

Li SC, Guo H et al (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

Article  Google Scholar 

Miao ZH, Wang YZ (2022) In-plane non-symmetric propagation of nonlinear elastic waves through a corrugated interface. Int J Non-Linear Mech 148:104266. https://doi.org/10.1016/j.ijnonlinmec.2022.104266

Article  Google Scholar 

Marshall A (1920) Principles of Economics. Macmillan and Co, London

Odeh AS, Babu DK (1998) Comprising of solutions for the nonlinear and linearized diffusion equations. SPE Reserv Eng 3(04):1202–1206

Article  Google Scholar 

Tong DK, Ge JL (1998) Accurate solution of unsteady seepage in fractal reservoir. Chin J Mech Mech. 30(05):621–626, https://doi.org/CNKI:SUN:LXXB.0.1998-05-012

Tong DK, Zhang HQ, Wang RH (2005) Exact solution and its behavior characteristic of nonlinear dual-porosity model. Appl Math Mech 26:1277–1283. https://doi.org/10.1007/BF03246232

Article  Google Scholar 

Wang YH, Yuan JM, Wang DQ et al (2011) Study on the nonlinear spherical seepage flow modeling and bottom-hole pressure dynamic behavior. Chin J Hydrodyn 26(3):333–341. https://doi.org/10.3969/j.issn1000-4874.2010.03.010

Article  CAS  Google Scholar 

Warren JE, Root PJ (1963) The behavior of naturally fractured reservoirs. Soc Petrol Eng J 3(03):245–255. https://doi.org/10.2118/426-PA

Article  Google Scholar 

Wiratni W, Kono HO (2005) Determination of intrinsic minimum bubbling velocity in fine powder aerations based on experimentally measured elastic deformation coefficients. Canadian J Chem Eng 83(3):418–424. https://doi.org/10.1002/cjce.5450830304

Article  CAS  Google Scholar 

Woods JH, Sauro HM (1997) Elasticities in metabolic control analysis: algebraic derivation of simplified expressions. Comput Appl Biosci Cabios 13(2):123–130. https://doi.org/10.1093/bioinformatics/13.2.123

Article  CAS  Google Scholar 

Wu YS, Ge JL (1981) Research on unstable spherical seepage in fracture-pore reservoirs. J Southwest Petrol Univ 01:41–51. https://doi.org/10.3863/j.issn.1000-2634.1981.01.005

Article  Google Scholar 

Zheng PS, Zheng YS, Li SC et al (2021) Analysis of flow characteristics of the dual media shale gas reservoir with the elastic outer boundary. SN Appl Sci. https://doi.org/10.1007/s42452-021-04787-y

Article  Google Scholar 

Comments (0)

No login
gif