Magnetic Resonance Imaging (MRI) can be used to quantify, in a non-invasive and non-destructive way, parameters connected to the local structure in internal regions of a porous material saturated by water. In particular, a classical parameter such as the porosity (ratio of the pore space volume to the total volume) can be determined at different length scales, from the sample to the voxel (elementary volume), not all achievable by traditional methods. In this paper a MRI procedure is shown to get in many different ways three-dimensional (3D) images, starting from several 2D images, showing separately the fracture network and the matrix porosity on fractured reservoir rocks. Following the described procedure, it is possible to obtain 3D surface images that can be measured in order to get a quantitative evaluation of matrix-porosity, fracture-porosity, as well as of shape, interconnectivity, and anisotropic behavior of the fracture network

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