Cavity expansion theory focuses on quantifying the stress and displacement fields around the cylindrical or spherical cavities in geomaterials under different drainage conditions. Large plastic deformations are central to this process and are relevant to various applications, such as tunneling and underground excavations. It involves non-linearities in stress, strain, and the material properties. Thus, it is important to understand the elastic-plastic deformation of the soil skeleton due to the stress induced in the cavity. The study focuses on understanding the effect of different behavioural models (Modified Cam Clay and SANICLAY) on the cavity expansion characteristics in a porous medium. Axisymmetric and plane strain condition is adopted to quantify the cavity expansion with appropriate boundary and initial conditions. The two model predictions are first benchmarked with the existing studies before carrying out the parametric studies. With increasing the cavity pressure, the stress-deformation characteristics around the cavity is quantified for normally consolidated soil under different overburden pressures and drained condition. The effect of the vertical stress component is considered in the formulation, and the radial deformation is observed to decrease with an increase in vertical stress.