Numerical modeling of the effect of Anderson's stress regimes on the volume of sand production in oil wellbores

نوع مقاله : مقاله پژوهشی

نویسندگان

1 Dept. of Mining Engineering, College of Engineering, University of Tehran, Tehran, Iran

2 Dept. of Mining and Metallurgy Engineering, Yazd University, Yazd, Iran

چکیده

Sand production is a complex mechanism that reduces oil and gas production and leads to wellbore instability, tubing erosion, and even erosion of surface installations. The hydrodynamic action of the flow on the surface leads to the breakup of solid particles from the surface. This is one of the main sources of sand production. The sand production may be affected by the combination of flow rate and the stress regime around the wellbore. In this paper, sand production in a vertical wellbore is numerically studied. A 3D finite element model in various stress regimes (i.e., normal, strike-slip, and reverse based on Anderson's classification) presenting various conditions of reservoirs was used. A typical drawdown pressure was chosen to simulate the production in the wellbore. The numerical model uses a sand production criterion based on the velocity of the fluid flow, the porosity of formation, transport concentration, and sand production coefficient to determine the initiation of sand production. The sand production volume was determined for a duration of a week in all cases. The most erosion of materials in all models occurred near the junction of the wellbore and perforation. This is an expected result since based on rock mechanics, the junction of the wellbore and perforation is also the location of the most stress concentration. It was concluded that the collaboration of high-stress concentration and high-pressure drawdown caused the excessive sanding problem. The results of the paper provide insight into the effect of stress regimes and orientation of perforation on the volume of sand production.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Numerical modeling of the effect of Anderson's stress regimes on the volume of sand production in oil wellbores

نویسندگان [English]

  • Abolfazl Abdollahipour 1
  • Ali Reza Kargar 1
  • Mohammad Fatehi Maraji 2
1 Dept. of Mining Engineering, College of Engineering, University of Tehran, Tehran, Iran
2 Dept. of Mining and Metallurgy Engineering, Yazd University, Yazd, Iran
چکیده [English]

Sand production is a complex mechanism that reduces oil and gas production and leads to wellbore instability, tubing erosion, and even erosion of surface installations. The hydrodynamic action of the flow on the surface leads to the breakup of solid particles from the surface. This is one of the main sources of sand production. The sand production may be affected by the combination of flow rate and the stress regime around the wellbore. In this paper, sand production in a vertical wellbore is numerically studied. A 3D finite element model in various stress regimes (i.e., normal, strike-slip, and reverse based on Anderson's classification) presenting various conditions of reservoirs was used. A typical drawdown pressure was chosen to simulate the production in the wellbore. The numerical model uses a sand production criterion based on the velocity of the fluid flow, the porosity of formation, transport concentration, and sand production coefficient to determine the initiation of sand production. The sand production volume was determined for a duration of a week in all cases. The most erosion of materials in all models occurred near the junction of the wellbore and perforation. This is an expected result since based on rock mechanics, the junction of the wellbore and perforation is also the location of the most stress concentration. It was concluded that the collaboration of high-stress concentration and high-pressure drawdown caused the excessive sanding problem. The results of the paper provide insight into the effect of stress regimes and orientation of perforation on the volume of sand production.

کلیدواژه‌ها [English]

  • Sand production
  • material erosion
  • 3D Finite Element Model
  • stress regimes
  • drawdown pressure
[1]                 J. Bellarby, “Well completion design,” in Paper presented at Developments in Petroleum Science, 2009.
[2]                 A. Nouri, H. Vaziri, H. Belhaj, and R. Islam, “Sand-production prediction: a new set of criteria for modeling based on large-scale transient experiments and numerical investigation,” SPE Journal, vol. 11, no. 9, p. 26e9, 2006.
[3]                 I. C. Walton, D. C. Atwood, P. M. Halleck, and C. B. Bianco, “Perforating unconsolidated sands: an experimental and theoretical investigation,” SPE Drilling Completion J, vol. 17, no. 3, pp. 141–150, 2002.
[4]                 H. Yousefian et al., “Numerical simulation of a wellbore stability in an Iranian oilfield utilizing core data,” J Pet Sci Eng, vol. 168, pp. 577–592, Sep. 2018.
[5]                 A. Abdollahipour, M. Fatehi-Marji, A. Yarahmadi-Bafghi, and J. Gholamnejad, “A Fourth Order Formulation of DDM for Crack Analysis in Brittle Solids,” Analytical and Numerical Methods in Mining Engineering, vol. 3, no. 6, 2016.
[6]                 R. J. J. Saucier, “Considerations in Gravel Pack Design,” J Pet Technol, vol. 26, no. 2, 1974.
[7]                 P. R. Gunjal, V. v. Ranade, and R. v. Chaudhari, “Computational study of a single-phase flow in packed beds of spheres,” AIChE Journal, vol. 51, no. 2, pp. 365–378, Feb. 2005, doi: 10.1002/AIC.10314.
[8]                 Y. Q. Feng and A. B. Yu, “Assessment of model formulations in the discrete particle simulation of gas-solid flow,” Ind Eng Chem Res, vol. 43, no. 26, pp. 8378–8390, Dec. 2004, doi: 10.1021/IE049387V.
[9]                 S. Chen and G. D. Doolen, “Lattice boltzmann method for fluid flows,” Annu Rev Fluid Mech, vol. 30, pp. 329–364, 1998, doi: 10.1146/ANNUREV.FLUID.30.1.329.
[10]             V. Fattahpour, M. Moosavi, and M. Mehranpour, “An experimental investigation on the effect of rock strength and perforation size on sand production,” J. Pet. Sci. Eng., vol. 86–87, 2012.
[11]             C. D. Hall and W. H. Harrisberger, “Stability of sand arches: a key to sand control,” J. Pet. Technol., vol. 22, pp. 821–829, 1970.
[12]             A. Kooijman, P. Halleck, D. Philippus, C. Veeken, and C. Kenter, “Large-scale laboratory sand production test,” in SPE Annual Technical Conference and Exhibition, 1992.
[13]             D. Tippie and C. Kohlhaas, “Effect of flow rate on stability of unconsolidated producing sands,” in Fall Meeting of the Society of Petroleum Engineers, 1973.
[14]             P. Van den Hoek, G. Hertogh, A. Kooijman, P. De Bree, C. Kenter, and E. Papamichos, “A new concept of sand production prediction: theory and laboratory experiments,” SPE Drilling Completion J., vol. 15, 2000.
[15]             B. Wu et al., “A New and Practical Model for Amount and Rate of Sand Production Estimation,” in Day 3 Thu, March 24, 2016, Mar. 2016. doi: 10.4043/26508-MS.
[16]             A. Ghalambor, A. Hayatdavoudi, C. Alcocer, and R. Koliba, “Predicting sand production in US Gulf coast gas wells producing free water,” J. Pet. Technol., vol. 41, pp. 1336–1343, 1989.
[17]             N. Stein and D. W. Hilchie, “Estimating the maximum production rate possible from friable sandstones without using sand control,” J. Pet. Technol., vol. 24, pp. 1157–1160, 1972.
[18]             E. Papamichos and M. Stavropoulou, “An erosion-mechanical model for sand production rate prediction,” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., vol. 35, pp. 531–532, 1998.
[19]             Y. Wang and E. Papamichos, “Conductive Heat Flow and Thermally Induced Fluid Flow around a Well Bore in a Poroelastic Medium,” Water Resour Res, vol. 30, no. 12, pp. 3375–3384, 1994.
[20]             E. Papamichos, I. Vardoulakis, J. Tronvoll, and A. Skjaerstein, “Volumetric sand production model and experiment,” Int. J. Numer. Anal. Methods Geomech., vol. 25, 2001.
[21]             J. Geertsma, “Some Rock-Mechanical Aspects of Oil and Gas Well Completions,” Society of Petroleum Engineers Journal, vol. 25, no. 06, pp. 848–856, Dec. 1985, doi: 10.2118/8073-PA.
[22]             F. Khamitov, N. H. Minh, and Y. Zhao, “Coupled CFD–DEM numerical modelling of perforation damage and sand production in weak sandstone formation,” Geomechanics for Energy and the Environment, vol. 28, p. 100255, Dec. 2021, doi: 10.1016/j.gete.2021.100255.
[23]             N. Morita, D. Whitfill, I. Massie, and T. Knudsen, “Realistic sand-production prediction: numerical approach,” SPE Prod. Eng., vol. 4, pp. 15–24, 1989.
[24]             J. Ostojic, R. Rezaee, and H. Bahrami, “Production performance of hydraulic fractures in tight gas sands, a numerical simulation approach,” J Pet Sci Eng, vol. 88–89, pp. 75–81, Jun. 2012, doi: 10.1016/j.petrol.2011.11.002.
[25]             Y. Han and P. Cundall, “Verification of two dimensional LBM-DEM coupling approach and its application in modeling episodic sand production in borehole,” Petroleum, vol. 3, no. 2, pp. 179–189, 2017.
[26]             A. Abdollahipour and M. Fatehi-Marji, “A thermo-hydromechanical displacement discontinuity method to model fractures in high-pressure, high-temperature environments,” Renewable Energye, vol. 153, pp. 1488–1503, 2020.
[27]             B. Oyeneyen, “CH. 3: Fundamental Principles of Management of Reservoirs with Sanding Problems,” in Integrated Sand Management For Effective Hydrocarbon Flow Assurance, 2015, p. 208.
[28]             I. Palmer, H. Vaziri, S. Willson, Z. Moschovidis, J. Cameron, and I. Ispas, “Predicting and managing sand production: a new strategy,” in SPE Annual Technical Conference and Exhibition, 2003.
[29]             D. S. Simulia, “Abaqus documentation,” 2016.
[30]             J. Hommel, E. Coltman, and H. Class, “Porosity–Permeability Relations for Evolving Pore Space: A Review with a Focus on (Bio-)geochemically Altered Porous Media,” Transp Porous Media, vol. 124, no. 2, pp. 589–629, Sep. 2018, doi: 10.1007/s11242-018-1086-2.