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EPSRC grant EP/L012227/1: Development of Unified Experimental and Theoretical Approach to Predict Reactive Transport in Subsurface Porous Media. The effect of pore-scale heterogeneity on non-Darcy flow behaviour is investigated by means of direct flow simulations on 3-D images of Bentheimer sandstone and Estaillades carbonate. The critical Reynolds number indicating the cessation of the creeping Darcy flow regime in Estaillades carbonate is two orders of magnitude smaller than in Bentheimer sandstone, and is three orders of magnitude smaller than in the beadpack. Also available at https://www.digitalrocksportal.org/projects/11, DOI:10.17612/P77P49. Further details can be found in Bagus P. Muljadi, Martin J. Blunt, Ali Q. Raeini, Branko Bijeljic. The impact of porous media heterogeneity on non-Darcy flow behaviour from pore-scale simulation. Advances in Water Resources. 2015. http://dx.doi.org/10.1016/j.advwatres.2015.05.019.