Estaillades carbonate is a mono-mineralic, calcitic rock, which contains two types of pores: intergranular macropores and intra-granular micropores. An Estaillades sample with a diameter of 7mm was scanned with UGCT’s HECTOR micro-CT scanner (developed in collaboration with XRE, www.xre.be). In this micro-CT scan, (most of) the intergranular macropores are resolved, while the micropores are not. A three-phase segmentation consisting of pore voxels, voxels with unresolved porosity, and solid voxels is provided. This image was used to extract a multi-scale pore network model from (Bultreys et al. 2015).