Sand Production Analysis for Depleted Reservoir

ZHONG Rubing


For most oilfields, the later development stage will be after long time production, and pore pressure is seriously depleted. The in situ stress of reservoir will be affected, and the stress state will be changed, so that to cause sand production. Based on Hooke’s law, the theoretical formula of two horizontal stress changes is obtained, and the stress distribution is established. The model of critical down-hole pressure for sand production in depleted reservoir is established. Based on the model, the influence of pressure depletion on critical drawdown pressure is analyzed for sand production. The results show that: with the pore pressure decreasing, the horizontal in situ stress and critical drawdown pressure decrease; Dynamic stress distribution is obtained with the pressure depletion in the development process, but the critical drawdown pressure decreasing rate with reservoir pressure depletion is less than the pore pressure. The critical drawdown pressure based on Mogi-Coulomb criterion is the most accurate, but that based on Mohr-Coulomb criterion is the most safety.
Key words: Pressure depletion; Sand production; Critical drawdown pressure


Pressure depletion; Sand production; Critical drawdown pressure

Full Text:



[1] Aadnoy, B. S., & Kaarstad, E. (2010). History model for sand production during depletion. SPE EUROPEC/EAGE Annual Conference and Exhibition, Barcelona.

[2] Al-Ajmi, A. M., & Zimmerman, R. W. (2006). Stability analysis of vertical boreholes using the Mogi-Coulomb failure criteria. Int J Rock Mech Min Sci, 43(8), 1200-1211.

[3] Antheunis, D., Vriezen, P. B., Schipper, B. A., & Van, A. C. (1976). Perforation collapse: failure of perforated friable sandstones. European Spring Meeting, Amsterdam.

[4] Bratli, R. K., & Risnes R (1981). Stability and failure of sand arches. SPEJ, 21(2), 236-248.

[5] Fjaer, E. (2008). Petroleum related rock mechanics. San Diego: Elsevier Science.

[6] Li, Z. H., Lou, Y. S., & Xin, X. S. (2009). Reservoir sandstone prediction in Bozhong 26-3 oilfield. J Oil Gas Technol, 3(33), 141-143.

[7] Lu, J., & Tang, W. (2000). On deep wellbore stability for Dagang oil field. Chin J Rock Mech Eng, 19, 967-970.

[8] McLean, M., & Addis, M. (1990, September). Wellbore stability: the effect of strength criteria on mud weight recommendations. Proceedings of the 65th annual technical conference and exhibition, society of petroleum engineers. New Orleans.



  • There are currently no refbacks.

Copyright (c)

Share us to:   


  • How to do online submission to another Journal?
  • If you have already registered in Journal A, then how can you submit another article to Journal B? It takes two steps to make it happen:

1. Register yourself in Journal B as an Author

  • Find the journal you want to submit to in CATEGORIES, click on “VIEW JOURNAL”, “Online Submissions”, “GO TO LOGIN” and “Edit My Profile”. Check “Author” on the “Edit Profile” page, then “Save”.

2. Submission

  • Go to “User Home”, and click on “Author” under the name of Journal B. You may start a New Submission by clicking on “CLICK HERE”.

We only use three mailboxes as follows to deal with issues about paper acceptance, payment and submission of electronic versions of our journals to databases:;;

 Articles published in Advances in Petroleum Exploration and Development are licensed under Creative Commons Attribution 4.0 (CC-BY)


Address:1020 Bouvier Street, Suite 400, Quebec City, Quebec, G2K 0K9, Canada.

Telephone: 1-514-558 6138
Website: Http://

Copyright © 2010 Canadian Research & Development Centre of Sciences and Cultures