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An analytical solution to wellbore stability using Mogi-Coulomb failure criterion

Journal of Rock Mechanics and Geotechnical Engineering 2019年第6期11卷 1211-1230页

作者： Aditya Singh K.Seshagiri Rao Ramanathan Ayothiraman Department of Civil Engineering Indian Institute of Technology Delhi

Deep wellbores/boreholes are generally drilled into rocks for oil and gas exploration,monitoring of tectonic stresses *** and tunnel in depth are generally in true triaxial stress state,even if the ground is under axisymmetric loading *** of such wellbores is very critical and collapse of wellbore must be ***-Coulomb failure criterion is a better representation of rock strength under true triaxial *** this paper,an analytical solution is proposed using Mogi-Coulomb failure *** solution is obtained for rock mass exhibiting elastic-perfectly plastic or elastic-brittle-plastic behaviour considering in-plane isotropic *** proposed solution is then compared with exact analytical solution for incompressible material and experimental results of thickwall *** is shown that the results obtained by the proposed analytical solution are in good agreement with the experimental results and exact analytical solution.A reduction of about 13%e20%in plastic zone from the proposed closed-form solution is observed,as compared to the results from the finite element method(FEM)based Mohr-Coulomb ***,the influences of various parameters such as Poisson’s ratio,internal pressure(mud weight),dilation angle,and out-of-plane stress are studied in terms of stress and deformation responses of *** results of the parametric study reveal that variation in the out-of-plane stress has an inverse relation with the radius of plastic ***’s ratio does not have an appreciable influence on the tangential stress,radial stress and radial *** angle has a direct relation with the *** pressure is found to have an inverse relation with the radial deformation and the radius of plastic zone.

关键词： Mogi-coulomb criterion elastic-brittle-plastic elastic-perfectly plastic Intermediate principal stress Wellbore stability Tunnel True triaxial strength

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