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Submicron size-scale mapping of carbonate effective elastic properties from FIB-SEM images and finite element method

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Science China Earth Sciences 2017年第3期60卷 557-575页

作者： CHENG HuiHong ZHU BoJing David A YUEN SHI YaoLin Key Laboratory of Computational Geodynamics of Chinese Academy of Sciences Beijing 100049China College of Earth Science University of Chinese Academy of SciencesBeijing 100049China Yunnan Observatories Chinese Academy of SciencesKunming 650216China Rock Mechanics and Carbon Store Lab Department of Earth SciencesDurham UniversityDurhamDH13LEUK Department of Earth Science and Minnesota Supercomputing Institute University of MinnesotaMinneapolis 55455USA

In this paper, an automatic unstructured focused ion beam （FIB） and scanning electron microscopy （SEM） images induced representative volume element （RVE） finite element （FE） method is developed to predict submicron scale carbonate rock effective Young＇s and bulk moduli and Poisson＇s ratio on parallel CPU-GPU platform. Based on high resolution-contrast surface morphology and internal fabric-texture structure images from carbonate rock specimen （covered 0.12-64 μm2 area and 8000 μm3 domain）, the cubic RVE FE models are constructed from different sites through Avizo with user-defined parameters Matlab coding. The effective Young＇s and bulk moduli and Poisson＇s ratio of the different RVEs and porosity and pore size are computed by using periodic boundary condition in the well-known FE software Abaqus. FE mesh sensitivity analysis has been conducted where all moduli converge to a certain constant value at larger FE mesh density. The effect of fabric-texture （pore size, shape, and distribution） on the elastic properties is discussed. The correlations between the computed effective elastic properties and pore size, porosity, RVE size have been established. The simulation results show that the effective Young＇s and bulk moduli and Poisson＇s ratio have strong anisotropic behavior and depend on RVE size, porosity and pore size. The RVE size, porosity and pore size are three independent factors in affecting of the effective elastic moduli, the effect mechanism of porosity and pore size is same while the effect mechanism of RVE size is difference.

关键词： Carbonate effective elastic properties Finite element analysis Focused ion beam nano-porosity nano pore size

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