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Size of representative elementary volume for heterogeneous rocks evaluated using distinct element method
https://orcid.org/http://orcid.org/0000-0003-4156-2846
The determination of the size of the representative elementary volume (REV) is important to measure or predict mechanical and physical effective properties of heterogeneous materials. This paper presents a numerical procedure to determine the REV size of intact rocks using a polygonal grain-based model. A large number of rock models with side lengths varying from 10 to 80 mm were generated in a square region based on the growing window technology. These models were then employed to carry out numerical compressive tests to determine the macroscopic mechanical properties of rocks for REV determination. Variations in the mineral volume fraction, compressive strength, elastic modulus, and Poisson’s ratio with the sample size were investigated. The coefficient of variation (ε) was introduced to denote the fluctuation of the properties. The REV sizes were determined by defining an acceptable value of ε. As the sample size increased, the coefficients of variation of the properties decreased. The REV sizes varied for different investigated properties; among them, the REV size for compressive strength was largest. To achieve mechanical representation of the overall rocks, the REV size should be at least 20 times the largest mineral grain size in the specimen, which was verified in the simulations. Geometric heterogeneity and mineral volume fractions also influenced the REV size. The simulated results indicate that the REV size for compressive strength had a positive dependence on the heterogeneity index, while it slightly decreased with the increase in volume fraction of biotite from 10.4 to 60.4%.
Size of representative elementary volume for heterogeneous rocks evaluated using distinct element method
https://orcid.org/http://orcid.org/0000-0003-4156-2846
The determination of the size of the representative elementary volume (REV) is important to measure or predict mechanical and physical effective properties of heterogeneous materials. This paper presents a numerical procedure to determine the REV size of intact rocks using a polygonal grain-based model. A large number of rock models with side lengths varying from 10 to 80 mm were generated in a square region based on the growing window technology. These models were then employed to carry out numerical compressive tests to determine the macroscopic mechanical properties of rocks for REV determination. Variations in the mineral volume fraction, compressive strength, elastic modulus, and Poisson’s ratio with the sample size were investigated. The coefficient of variation (ε) was introduced to denote the fluctuation of the properties. The REV sizes were determined by defining an acceptable value of ε. As the sample size increased, the coefficients of variation of the properties decreased. The REV sizes varied for different investigated properties; among them, the REV size for compressive strength was largest. To achieve mechanical representation of the overall rocks, the REV size should be at least 20 times the largest mineral grain size in the specimen, which was verified in the simulations. Geometric heterogeneity and mineral volume fractions also influenced the REV size. The simulated results indicate that the REV size for compressive strength had a positive dependence on the heterogeneity index, while it slightly decreased with the increase in volume fraction of biotite from 10.4 to 60.4%.
Size of representative elementary volume for heterogeneous rocks evaluated using distinct element method
https://orcid.org/http://orcid.org/0000-0003-4156-2846
The determination of the size of the representative elementary volume (REV) is important to measure or predict mechanical and physical effective properties of heterogeneous materials. This paper presents a numerical procedure to determine the REV size of intact rocks using a polygonal grain-based model. A large number of rock models with side lengths varying from 10 to 80 mm were generated in a square region based on the growing window technology. These models were then employed to carry out numerical compressive tests to determine the macroscopic mechanical properties of rocks for REV determination. Variations in the mineral volume fraction, compressive strength, elastic modulus, and Poisson’s ratio with the sample size were investigated. The coefficient of variation (ε) was introduced to denote the fluctuation of the properties. The REV sizes were determined by defining an acceptable value of ε. As the sample size increased, the coefficients of variation of the properties decreased. The REV sizes varied for different investigated properties; among them, the REV size for compressive strength was largest. To achieve mechanical representation of the overall rocks, the REV size should be at least 20 times the largest mineral grain size in the specimen, which was verified in the simulations. Geometric heterogeneity and mineral volume fractions also influenced the REV size. The simulated results indicate that the REV size for compressive strength had a positive dependence on the heterogeneity index, while it slightly decreased with the increase in volume fraction of biotite from 10.4 to 60.4%.
Size of representative elementary volume for heterogeneous rocks evaluated using distinct element method
Acta Geotech.
Wang, Zhao (author) / Wang, Tiehang (author) / Wang, Weiqin (author) / Zhang, Zongxian (author)
Acta Geotechnica ; 18 ; 1883-1900
2023-04-01
18 pages
Article (Journal)
Electronic Resource
English
Coefficient of variation , Grain-based model , Mineral composition , Representative elementary volume , Rock heterogeneity Engineering , Geoengineering, Foundations, Hydraulics , Solid Mechanics , Geotechnical Engineering & Applied Earth Sciences , Soil Science & Conservation , Soft and Granular Matter, Complex Fluids and Microfluidics
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