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This study focuses on rock physics modelling and geomechanical analysis of reservoir and cap rocks in the Northern Lights CO2 storage, offshore Norway. Target formations include the Johansen and Cook sandstones for CO2 injection and the Drake shale as the sealing cap rock. While rock physics models are widely used in CCS studies, anisotropy—particularly in shales—is often overlooked. This study incorporates anisotropic cap rock using the extended Maxwell homogenization scheme, calibrated with well log and core data from well 31/5-7 (Eos). Sandstone samples showed a strong correlation between static and dynamic Young’s moduli, enabling potential use of seismic data for geomechanical modelling. In contrast, the Drake shale exhibited significant elastic anisotropy, necessitating directionally dependent modelling due to its intrinsically anisotropic structure. The rock physics model estimated directional Young’s modulus and Poisson’s ratio and distinguished mechanical behaviour across caprock shale facies. The constrained results demonstrate the suitability of the extended Maxwell scheme for modelling elastic properties in both isotropic sandstones and anisotropic shales. This integrated workflow has the potential to offer valuable insights for improving seal integrity assessments and reservoir characterisation in CO2 storage feasibility studies.