Parallel Numerical Method to Estimate the Effective Elastic Moduli of Rock Core Samples from 3D Tomographic Images
We present a new parallel numerical technique to estimate the effective elastic parameters of a rock core sample from three-dimensional Computed Tomography (CT) images. Our method is based on the energy equivalence principle and a new approach to solve 3D static elasticity problem by iterative relaxation technique. We determine the elastic moduli by the parallel computation of potential energy of the elastic deformations arising in the sample under some homogeneous strains applied to the boundary thus simulating effects occurring in laboratory measurements. The obtained numerical results are discussed. The proposed method is verified using homogeneous samples with specified properties as well as for layered materials with effective parameters obtained according to the Schoenberg method. The effective parameters of a real carbonate core sample obtained from 3D CT-image are presented.
KeywordsEffective parameters Elastic moduli The principle of energy equivalence The relaxation method Homogeneous boundary conditions Representative volume 3D tomographic images
This work was supported by the Russian Foundation for Basic Research, Grant 16-05-0800, 18-05-00031, 18-01-00579, 18-41-540016. The research is carried out using the equipment of the shared research facilities of HPC computing resources at Lomonosov Moscow State University, Joint Supercomputer Center of RAS and the Siberian Supercomputer Center.
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