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A combined weighted Voronoi tessellation and random field approach for modeling heterogeneous rocks with correlated grain structure
https://orcid.org/0000-0002-2378-9193
https://orcid.org/0000-0002-2885-5620
https://orcid.org/0000-0002-0122-6226
Abstract Construction rocks often exhibit a grain structure with spatially correlated grain formations, posing a challenge in quantifying and predicting their mechanical properties. Effectively quantifying and predicting the mechanical and fracturing behaviors of these construction materials is crucial for enhancing their exploitation and utilization efficiency. Misjudgments in this regard could lead to unacceptable fractures or even the collapse of rock formations during infrastructure constructions. This work proposes an approach that combines weighted centroidal Voronoi tessellation (WCVT) and random field (RF) to generate heterogeneous rocks with a correlated grain structure. WCVT is used to partition a rock domain into grains, and RF is adopted to control the grain sizes and the size correlation. With rock samples generated based on RF-WCVT, the finite discrete element method (FDEM) is introduced to simulate the mechanical behavior (typically the fracturing behavior) of heterogeneous rocks. The procedure for importing RF-WCVT-based rock samples into an FDEM model and inserting zero-thickness cohesive elements for modeling potential fractures is developed. Numerical examples are presented to demonstrate the effectiveness of RF-WCVT for generating heterogeneous rocks with a correlated grain structure, as well as the performance of FDEM in modeling the mechanical behavior of heterogeneous rocks. Effects of grain structure, in terms of scale of fluctuation and bedding orientation, on the mechanical behavior of rocks are analyzed.
Highlights A combined random field and weighted centroidal Voronoi tessellation approach is proposed to model grain structure of rock. The RF statistics of the grain sizes of generated rocks match well with those of specified analytical formulations. RF-WCVT is integrated with finite-discrete element method (FDEM) for modeling heterogeneous rocks. Effect of grain size correlation on fracturing behavior of heterogeneous rocks is investigated.
A combined weighted Voronoi tessellation and random field approach for modeling heterogeneous rocks with correlated grain structure
https://orcid.org/0000-0002-2378-9193
https://orcid.org/0000-0002-2885-5620
https://orcid.org/0000-0002-0122-6226
Abstract Construction rocks often exhibit a grain structure with spatially correlated grain formations, posing a challenge in quantifying and predicting their mechanical properties. Effectively quantifying and predicting the mechanical and fracturing behaviors of these construction materials is crucial for enhancing their exploitation and utilization efficiency. Misjudgments in this regard could lead to unacceptable fractures or even the collapse of rock formations during infrastructure constructions. This work proposes an approach that combines weighted centroidal Voronoi tessellation (WCVT) and random field (RF) to generate heterogeneous rocks with a correlated grain structure. WCVT is used to partition a rock domain into grains, and RF is adopted to control the grain sizes and the size correlation. With rock samples generated based on RF-WCVT, the finite discrete element method (FDEM) is introduced to simulate the mechanical behavior (typically the fracturing behavior) of heterogeneous rocks. The procedure for importing RF-WCVT-based rock samples into an FDEM model and inserting zero-thickness cohesive elements for modeling potential fractures is developed. Numerical examples are presented to demonstrate the effectiveness of RF-WCVT for generating heterogeneous rocks with a correlated grain structure, as well as the performance of FDEM in modeling the mechanical behavior of heterogeneous rocks. Effects of grain structure, in terms of scale of fluctuation and bedding orientation, on the mechanical behavior of rocks are analyzed.
Highlights A combined random field and weighted centroidal Voronoi tessellation approach is proposed to model grain structure of rock. The RF statistics of the grain sizes of generated rocks match well with those of specified analytical formulations. RF-WCVT is integrated with finite-discrete element method (FDEM) for modeling heterogeneous rocks. Effect of grain size correlation on fracturing behavior of heterogeneous rocks is investigated.
A combined weighted Voronoi tessellation and random field approach for modeling heterogeneous rocks with correlated grain structure
https://orcid.org/0000-0002-2378-9193
https://orcid.org/0000-0002-2885-5620
https://orcid.org/0000-0002-0122-6226
Abstract Construction rocks often exhibit a grain structure with spatially correlated grain formations, posing a challenge in quantifying and predicting their mechanical properties. Effectively quantifying and predicting the mechanical and fracturing behaviors of these construction materials is crucial for enhancing their exploitation and utilization efficiency. Misjudgments in this regard could lead to unacceptable fractures or even the collapse of rock formations during infrastructure constructions. This work proposes an approach that combines weighted centroidal Voronoi tessellation (WCVT) and random field (RF) to generate heterogeneous rocks with a correlated grain structure. WCVT is used to partition a rock domain into grains, and RF is adopted to control the grain sizes and the size correlation. With rock samples generated based on RF-WCVT, the finite discrete element method (FDEM) is introduced to simulate the mechanical behavior (typically the fracturing behavior) of heterogeneous rocks. The procedure for importing RF-WCVT-based rock samples into an FDEM model and inserting zero-thickness cohesive elements for modeling potential fractures is developed. Numerical examples are presented to demonstrate the effectiveness of RF-WCVT for generating heterogeneous rocks with a correlated grain structure, as well as the performance of FDEM in modeling the mechanical behavior of heterogeneous rocks. Effects of grain structure, in terms of scale of fluctuation and bedding orientation, on the mechanical behavior of rocks are analyzed.
Highlights A combined random field and weighted centroidal Voronoi tessellation approach is proposed to model grain structure of rock. The RF statistics of the grain sizes of generated rocks match well with those of specified analytical formulations. RF-WCVT is integrated with finite-discrete element method (FDEM) for modeling heterogeneous rocks. Effect of grain size correlation on fracturing behavior of heterogeneous rocks is investigated.
A combined weighted Voronoi tessellation and random field approach for modeling heterogeneous rocks with correlated grain structure
Lin, Yuexiang (author) / Lai, Zhengshou (author) / Ma, Jianjun (author) / Huang, Linchong (author)
2024-01-26
Article (Journal)
Electronic Resource
English
| DOAJ | 2018
3D Voronoi Tessellation for the Study of Mechanical Behavior of Rocks at Different Scales
| Springer Verlag | 2021