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Calculation of Hole Collapse Pressure Considering the Influence of Borehole Diameter

Jin Sun and Jingen Deng
Department of Petroleum Engineering, China University of Petroleum, Beijing, China
Abstract—To solve the wellbore instability problem of slimhole, this paper presents a calculation method of collapse pressure base on the scale effect theory of rock strength. Based on the empirical relation between the uniaxial compressive strength and the specimen diameter proposed by Hoek, a modified empirical relation is studied in which the size effect of internal frictional angle is considered. A modified Mohr-Coulomb failure criterion with the influence of scale effect of rock strength is established. The collapse pressure which considers the influence of borehole diameter is calculated, and two evaluation method of size effect of rock strength is presented. The results show that the collapse pressure of slimhole is related to the borehole diameter. Meanwhile, the scale effect of formation with different properties is also different. The reduction in strength is due to the nonhomogeneity and fracture development of rocks. This provides important reference for the evaluation of collapse risks of wells with different diameters.

Index terms—slimhole, borehole diameter, scale effect, collapse pressure, fracture development

Cite: Jin Sun and Jingen Deng, "Calculation of Hole Collapse Pressure Considering the Influence of Borehole Diameter," Journal of Industrial and Intelligent Information, Vol. 2, No. 4, pp. 264-269, December 2014. doi: 10.12720/jiii.2.4.264-269
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