A Three-Dimensional Analytical Solution of Stress Field in Casing-Cement-Stratum System Considering Initial Stress State

Accurate stress field calculation of the casing-cement-stratum system is crucial for evaluating wellbore integrity. Previous models treated in-situ as boundary pressure loads, leading to unrealistic infinite displacements at infinity. This study presents a three-dimensional (3D) analytical solution within in inclined wells, considering and hydrostatic cement initial state taking into account components related axial direction. Assuming plane strain condition superimposing in-plane problem, elastic uni-axial problem anti-plane shear 3D obtained. Comparisons with previous indicate that existing model overestimates absolute values failure potential casing both 2D scenarios. The presence greatly increases value compressive but decreases cement, which has not been well studied. Additionally, low Young’s modulus high benefits cement’s integrity since maximum Mises significantly decreases. new can provide benchmark numerical simulation quick assessment