Prediction of borehole breakdown pressure based on simple elasticity theory

Document Type

Article

Publication Date

1-1-2026

Abstract

This paper presents a semi-analytical elastic solution for stresses around an inclined borehole sitting in a three-dimensional in situ stresses field and subjected to (I) an excess fluid pressure applied over a sectioned borehole interval and (II) a uniform fluid pressure applied along the entire borehole. To facilitate the solution derivation, the problem is decomposed into two sub-problems such that each sub-problem becomes mathematically solvable. The final solution is obtained by combining the solutions of two sub-problems following the superposition principle applicable to elastic media. This new solution provides simple, elasticity-based integral expressions for borehole stresses, which can be used to estimate the breakdown pressure in hydraulic fracturing operations. The new solution can also serve as a limiting case for poromechanics solutions and a benchmark problem for validating numerical codes.

Publication Source (Journal or Book title)

Geomechanics and Geoengineering

First Page

308

Last Page

321

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