A graph-based drained wellbore stability analysis in Mohr-Coulomb rock formation under hydrostatic in situ stress field

Document Type

Conference Proceeding

Publication Date

1-1-2024

Abstract

This paper focuses on the development of a rigorous analytical solution for the drained wellbore drilling problem in a non-associated Mohr-Coulomb rock formation subjected to hydrostatic in-situ stress field, for a specific case that the axial/vertical stress is strictly the intermediate principal stress in the drilling process. The proposed solution is extended from the graphical analysis-based method recently proposed by Chen in 2024 for the cylindrical cavity expansion problem. The wellbore support pressure versus the contracted borehole radius, i.e., the well-known wellbore drilling curves, are numerically calculated through the radial equilibrium equation in the Lagrangian form. The graphical solution effectively avoids the common yet unnecessary intermediacy assumption for the axial/vertical stress in most existing wellbore drilling analyses. Selective numerical results are presented for the desired wellbore drilling curves and the impacts of some rock mechanical parameters on the calculated curves are also investigated.

Publication Source (Journal or Book title)

58th US Rock Mechanics / Geomechanics Symposium 2024, ARMA 2024

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