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Conventional modelling methods such as object-based, variogram-based, or multiple point statistics modelling often struggle to reproduce realistic levels of connectivity particularly in scenarios where the net:gross ratio is high, but connectivity is low, such as deep-marine depositional systems like the Ross Formation (west of Ireland). Compression-based modelling allows for the generation of hierarchical models conditioned to wells with both facies proportion and geobody connectivity defined separately as modelling inputs. This method can be combined with conventional methods providing greater model flexibility for reproducing different degrees of connectivity for individual depositional elements. The workflow differs from a conventional modelling workflow by transforming the grid after the facies modelling step: this transformation allows for both facies proportions and connectivity to be honoured. The grid transformation must therefore be considered when defining the modeling inputs and designing the training images. The inverse transformation is applied to the conditioning data to ensure they are appropriately honoured at the end of the workflow. The method is illustrated using the well-characterised Ross Formation outcrops in the west of Ireland.