Abstract:
With the use of the Kirsch equation, 2D Finite Element (RS2), and 3D Finite Element (RS3)
calculations, this study examines the wellbore stability in shale formations. Shale formations
are notorious for being complicated and diverse, which makes it difficult to drill them and
keep them stable. In order to examine wellbore stability, the Kirsch equation, a mathematical
model that determines the stress distribution around a circular hole in an elastic material,
is utilized. The outcomes are contrasted with those of 2D and 3D finite element analyses,
which are frequently employed in the field of rock engineering to assess the stability of
subsurface structures. The comparison demonstrates that, while the Kirsch equation can
offer a helpful approximation of the stress distribution in the shale formation, it is limited
in its ability to handle complex geological situations. By taking into account the impacts
of material nonlinearity, joint systems, and anisotropy, finite element analysis gives a more
precise and thorough examination of wellbore stability. In addition to emphasizing the need
for a thorough understanding of rock mass behavior, the study underscores the significance
of employing finite element analysis to analyze the wellbore stability in shale formations.