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Journal of Applied Mathematics
Volume 2017, Article ID 2412397, 12 pages
Research Article

Simulation of Wellbore Stability during Underbalanced Drilling Operation

Chemical and Petroleum Engineering Department, American University of Ras Al Khaimah, Ras Al Khaimah, UAE

Correspondence should be addressed to Reda Abdel Azim;

Received 13 June 2017; Accepted 2 July 2017; Published 15 August 2017

Academic Editor: Myung-Gyu Lee

Copyright © 2017 Reda Abdel Azim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The wellbore stability analysis during underbalance drilling operation leads to avoiding risky problems. These problems include (1) rock failure due to stresses changes (concentration) as a result of losing the original support of removed rocks and (2) wellbore collapse due to lack of support of hydrostatic fluid column. Therefore, this paper presents an approach to simulate the wellbore stability by incorporating finite element modelling and thermoporoelastic environment to predict the instability conditions. Analytical solutions for stress distribution for isotropic and anisotropic rocks are presented to validate the presented model. Moreover, distribution of time dependent shear stresses around the wellbore is presented to be compared with rock shear strength to select appropriate weight of mud for safe underbalance drilling.