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Numerical Computation of Effective Elastic Parameters of Rock Samples by 2d and 3d Numerical Images
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, Saint Petersburg 2018, Apr 2018, Volume 2018, p.1 - 6
Abstract
A parallel algorithm for evaluating the elastic properties of rock samples from 2D and 3D images of computed tomography is presented. The method is based on the principle of the equivalence of the strain energy, in which the static boundary conditions simulating a physical experiment are chosen as homogeneous ones and the components of the compliance tensor are determined. A special feature of the algorithm is a new scheme for solving problems of static loading of a sample by establishing the problem of dynamic elasticity theory and a parallel implementation scheme based on MPI + OpenMP. The results of numerical calculations are presented. The accuracy of determining the effective parameters was verified on homogeneous samples with known properties, and layered ones, for which the effective parameters were calculated using the Schoenberg method.