Parallel Numerical Method to Estimate the Effective Elastic Moduli of Rock Core Samples from 3D Tomographic Images

机译：基于3D断层图像估计岩心样品有效弹性模量的并行数值方法

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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.

机译：我们提出了一种新的并行数值技术，可从三维计算机断层扫描（CT）图像中估算岩芯样品的有效弹性参数。我们的方法基于能量等效原理，并且采用迭代松弛技术来解决3D静态弹性问题的新方法。我们通过并行计算在施加到边界的一些均匀应变下样品中产生的弹性变形的势能的势能的并行计算来确定弹性模量，从而模拟在实验室测量中发生的效应。讨论了获得的数值结果。使用具有指定特性的均质样品以及根据Schoenberg方法获得的具有有效参数的分层材料，验证了该方法的有效性。给出了从3D CT图像获得的真实碳酸盐岩心样品的有效参数。

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来源
《Finite difference methods: theory and applications》|2018年|452-460|共9页
会议地点 Lozenetz(BG)
作者
Galina Reshetova; Tatiana Khachkova;
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作者单位

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 630090 Novosibirsk, Russia;

Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, 630090 Novosibirsk, Russia;

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正文语种 eng
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关键词
Effective parameters; Elastic moduli; The principle of energy equivalence; The relaxation method; Homogeneous boundary conditions; Representative volume; 3D tomographic images;

机译：有效参数；弹性模量能量等效原理；松弛法；均匀边界条件；代表册； 3D断层图像;

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1. Estimating 3D elastic moduli of rock from 2D thin-section images using differential effective medium theory [J] . Karimpouli Sadegh, Tahmasebi Pejman, Saenger Erik H. Geophysics: Journal of the Society of Exploration Geophysicists . 2018,第4期

机译：使用差分有效介质理论估算来自2D薄截面图像的岩石3D弹性模量
2. Estimating elastic moduli of rocks from thin sections: Digital rock study of 3D properties from 2D images [J] . Saxena Nishank, Mavko Gary Computers & geosciences . 2016,第Mara期

机译：估算薄壁岩石的弹性模量：从2D图像进行3D特性的数字岩石研究
3. Numerical evaluation of the effective elastic moduli of rocks [J] . S.G. Mogilevskaya, J. Wang, S.L. Crouch International Journal of Rock Mechanics and Mining Sciences . 2007,第3期

机译：岩石有效弹性模量的数值评估
4. Parallel Numerical Method to Estimate the Effective Elastic Moduli of Rock Core Samples from 3D Tomographic Images [C] . Galina Reshetova, Tatiana Khachkova International Conference on Finite Difference Methods . 2019

机译：平行数值方法估算3D断层图像的岩石核心样本有效弹性模量
5. Porous grain model and equivalent elastic medium approach for predicting effective elastic properties of sedimentary rocks. [D] . Ruiz, Franklin J. 2009

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Parallel Numerical Method to Estimate the Effective Elastic Moduli of Rock Core Samples from 3D Tomographic Images

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