Indian Geotechnical Journal

, Volume 44, Issue 1, pp 101–106 | Cite as

Critical Drawdown Pressure of Depleted Reservoir

  • Chuanliang Yan
  • Jingen Deng
  • Xiangdong Lai
  • Lianbo Hu
  • Zijian Chen
Technical Note
  • 307 Downloads

Abstract

For long time production, most oilfields have entered the later development stage, and the pore pressure is seriously depleted. The pressure depletion will affect in situ stress, and change the stress state around the borehole, and then the affect the critical drawdown pressure to cause sand production. The theoretical formula of two horizontal in situ stress changes with pore pressure is obtained based on generalized Hoek’s law, and then the stress distribution formula around the borehole in pressure depleted reservoir is established. The calculation model of sand production critical bottom hole flowing pressure in depleted reservoir is established using the Mohr–Coulomb criterion, Drucker–Prager criterion and Mogi–Coulomb criterion, respectively. The influence of pressure depletion on critical drawdown pressure is analyzed. The results show that: with the pore pressure decreasing, the horizontal in situ stress and critical drawdown pressure become smaller; the error of prediction model based on Mogi–Coulomb criterion is the minimum, and it is more in line with the actual field data; the prediction model based on Mohr–Coulomb criterion is conservative but most safe. The establishment of prediction model provides a guidance for actual production decisions in pressure depleted reservoir.

Keywords

Pressure depletion In-situ stress Sand production Critical drawdown pressure Rock strength criterion 

Notes

Acknowledgments

The authors gratefully acknowledge the support of Science Fund for Creative Research Groups of the National Natural Science Foundation of China (Grant No. 51221003), National Natural Science Foundation Project of China (Grant No. 51174219) and National Oil and Gas Major Project (Grant No. 2011ZX05009-005).

References

  1. 1.
    Aadnoy BS, Kaarstad E (2010) History model for sand production during depletion. SPE EUROPEC/EAGE Annual Conference and Exhibition, Barcelona, paper number 131256Google Scholar
  2. 2.
    Al-Ajmi AM, Zimmerman RW (2006) Stability analysis of vertical boreholes using the Mogi–Coulomb failure criteria. Int J Rock Mech Min Sci 43(8):1200–1211CrossRefGoogle Scholar
  3. 3.
    Antheunis D, Vriezen PB, Schipper BA, Van AC (1976) Perforation collapse: failure of perforated friable sandstones. European Spring Meeting, Amsterdam, paper number 5750Google Scholar
  4. 4.
    Bratli RK, Risnes R (1981) Stability and failure of sand arches. SPEJ 21(2):236–248CrossRefGoogle Scholar
  5. 5.
    Charlez PA (1997) Rock mechanics: petroleum applications. Editions Technip, ParisGoogle Scholar
  6. 6.
    Ewy R (1999) Wellbore-stability predictions by use of a modified Lade criterion. SPE Drill Complet 14:85–91Google Scholar
  7. 7.
    Fjaer E (2008) Petroleum related rock mechanics. Elsevier Science, San DiegoGoogle Scholar
  8. 8.
    Li ZH, Lou YS, Xin XS (2009) Reservoir sandstone prediction in Bozhong 26-3 oilfield. J Oil Gas Technol 3(33):141–143Google Scholar
  9. 9.
    Lu J, Tang W (2000) On deep wellbore stability for Dagang oil field. Chin J Rock Mech Eng 19:967–970Google Scholar
  10. 10.
    McLean M, Addis M (1990) Wellbore stability: the effect of strength criteria on mud weight recommendations. In: Proceedings of the 65th annual technical conference and exhibition, Society of petroleum engineers, New Orleans, September 23–26, SPE 20405Google Scholar
  11. 11.
    Morita N, Whitfill DL, Fedde OP, Lovik TH (1989) Parametric study of sand production prediction: analytical approach. SPE Prod Eng 4(1):25–33Google Scholar
  12. 12.
    Morita N, Boyd PA (1991) Typical sand production problems: case studies and strategies for sand control. In: Proceeding of the 66th annual technical conference and exhibition of the society of petroleum engineers, Dallas, Tx, paper number 22739Google Scholar
  13. 13.
    Morita N, Burton RC, Davis E (1998) Fracturing and formation failure control: can screenless completions prevent sand production? SPE annual technical conference and exhibition, Denver, Colorado, paper number 51187Google Scholar
  14. 14.
    Nouri A, Vaziri H, Kuru E, Islam R (2006) A comparison of two sanding criteria in physical and numerical modeling of sand production. J Petrol Sci Eng 50(1):55–70CrossRefGoogle Scholar
  15. 15.
    Papamichos E, Malmanger EM (1999) A sand erosion model for volumetric sand productions in a north sea reservoir. SPE Latin American and Caribbean petroleum engineering conference, Caracas, Venezuela, paper number 54007Google Scholar
  16. 16.
    Rahmati H, Jafarpour M, Azadbakht S, Nouri A, Vaziri H, Chan D, Xiao Y (2013) Review of sand production prediction models. J Petrol Eng 2013:1–16CrossRefGoogle Scholar
  17. 17.
    Risnes R, Bratli RK, Horsrud P (1982) Sand stresses around a wellbore. SPEJ 22:883–898CrossRefGoogle Scholar
  18. 18.
    Sanfilippo F, Ripa G, Brignoli M, Santarelli FJ (1995) Economical management of sand production by a methodology validated on an extensive database of field data. Annual technical conference, Dallas, SPE, 30472Google Scholar
  19. 19.
    Single B, Goel RK, Mehrotra VK, Garg SK, Allu MR (1998) Effect of intermediate principal stress on strength of anisotropic rock mass. Tunn Undergr Space Technol 13(1):71–79CrossRefGoogle Scholar
  20. 20.
    Tronvoll J, Larsen I, Li L, Skjetne T, Oyvind G (2004) Rock mechanics aspect of well productivity in marginal sandstone reservoirs: problems, analysis methods and remedial actions. SPE international symposium and exhibition on formation damage control, Lafayette, Louisiana, USA, paper number 86468Google Scholar
  21. 21.
    Van den Hoek PJ, Herlogh GMM, Kooijman AP, de Bree P, Kenter CJ, Papamichos E (1996) A new concept of sand production prediction: theory and laboratory experiments. SPE annual technical conference and exhibition, Denver, paper number 36418Google Scholar
  22. 22.
    Van den Hoek PJ, Geilikman MB (2005) Prediction of sand production rate in oil and gas reservoirs: field validation and practical use. SPE annual technical conference and exhibition, Dallas, Texas, paper number 95715Google Scholar
  23. 23.
    Vaziri H, Palmer I (1998) Evaluation of open hole cavity completion technique in coalbed methane reservoirs. 3rd North American rock mechanics symposium, Cancun, MexicoGoogle Scholar
  24. 24.
    Vaziri H, Allam R, Kidd G, Bennett C, Grose T, Peter R, Jeremy M (2006) Sanding: a rigorous examination of the interplay between drawdown, depletion, startup frequency, and water cut. SPE Prod Oper 21(4):430–440Google Scholar
  25. 25.
    Zoback MD, Vernik L (1992) Estimation of maximum horizontal principal stress magnitude from stress-induced well bore breakouts in the Cajon Pass scientific research borehole. J Geophys Res 97(B4):5109–5119CrossRefGoogle Scholar
  26. 26.
    Zhang LY, Cao P, Radha KC (2010) Evaluation of rock strength criteria for wellbore stability analysis. Int J Rock Mech Min Sci 47:1304–1316CrossRefGoogle Scholar
  27. 27.
    Zhao CF, Yang YZ, Zhang CG (2011) Investigation on applicability of common failure criteria considering intermediate principal stress. Chin J Rock Mech Eng 30(2):327–334Google Scholar

Copyright information

© Indian Geotechnical Society 2013

Authors and Affiliations

  • Chuanliang Yan
    • 1
    • 2
  • Jingen Deng
    • 1
  • Xiangdong Lai
    • 1
  • Lianbo Hu
    • 1
  • Zijian Chen
    • 1
  1. 1.State Key Lab of Petroleum Resources and ProspectingChina University of PetroleumBeijingChina
  2. 2.Faculty of Petroleum EngineeringChina University of PetroleumBeijingChina

Personalised recommendations