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Carbonate heterogeneity has complex post-depositional diagenesis superimposed on the original microstructures inherited from the initial deposition environment during sedimentation. This paper presents a case study describing approaches to mitigate carbonate reservoir characterisation challenges. This work identifies and quantifies dual porosity dual permeability through geological and engineering analysis. Among them are a proper study of core analysis and description, mercury-injection capillary pressure (MICP), pressure transient analysis, and production pressure performance analysis. Adopting a dual porosity dual permeability multi-scale modeling approach has improved the matching in numerical and material balance models throughout the overall field production period. Excellent history match was achieved through a multiple tanks model where the secondary tank is connected to the main tank through a specified transmissibility and pressure threshold. The conclusion from this study encourages the adoption of dual porosity dual permeability multiscale modeling for carbonate reservoirs in estimating hydrocarbon volume and matching historical reservoir performance which ultimately enables precise reservoir performance prediction.