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Modeling Brazilian Tensile Strength Tests on a Brittle Rock Using Deterministic, Semi-deterministic, and Voronoi Bonded Block Models
https://orcid.org/0000-0002-8903-1035
Abstract This study aims to numerically investigate how various common simplifications of grain structure representation in bonded block models affect simulations of rock mechanical behavior. Specimens of Wausau granite were characterized mechanically through Brazilian tensile strength tests for this work. The samples were also characterized petrographically using thin section microscopy, scanning electron microscopy-based automated mineralogy, and visual inspection. Four types of representations of the Wausau granite samples were developed, including 6 detailed manually developed deterministic models, 6 semi-deterministic models, and 120 randomly generated representations (Voronoi models). First, a calibrated set of micro-properties was determined using the deterministic representations to simulate the Brazilian tensile strength measurements. Next, the study examined the ability of different Voronoi tessellations to adequately represent the grain structure for the purposes of accurate tensile strength simulation. This was evaluated by comparing Voronoi model results to the deterministic grain structure model results and laboratory test results. The findings of the study show that the four types of models used in this study can all provide realistic representations of the mechanical behavior of rock. The study confirms that standard Voronoi approximations of grain structures can be reasonably used in lieu of less practical, manually developed representations of the grain structure. Specifically, Voronoi models can properly replicate the geometric heterogeneity within the grain structure, even though they simplify some of its geometric attributes.
Highlights Four types of models of granite specimens were generated, each type representing the specimen grain structure with a different degree of realism.Brazilian tensile strength simulation results obtained using deterministic, semi-deterministic, and two different Voronoi structures were compared.Validity of randomly generated Voronoi models to adequately approximate the geometric heterogeneity within the grain structure was investigated.Voronoi models provided strengths nearly equivalent to those obtained from the more complex deterministic and semi-deterministic models.
Modeling Brazilian Tensile Strength Tests on a Brittle Rock Using Deterministic, Semi-deterministic, and Voronoi Bonded Block Models
https://orcid.org/0000-0002-8903-1035
Abstract This study aims to numerically investigate how various common simplifications of grain structure representation in bonded block models affect simulations of rock mechanical behavior. Specimens of Wausau granite were characterized mechanically through Brazilian tensile strength tests for this work. The samples were also characterized petrographically using thin section microscopy, scanning electron microscopy-based automated mineralogy, and visual inspection. Four types of representations of the Wausau granite samples were developed, including 6 detailed manually developed deterministic models, 6 semi-deterministic models, and 120 randomly generated representations (Voronoi models). First, a calibrated set of micro-properties was determined using the deterministic representations to simulate the Brazilian tensile strength measurements. Next, the study examined the ability of different Voronoi tessellations to adequately represent the grain structure for the purposes of accurate tensile strength simulation. This was evaluated by comparing Voronoi model results to the deterministic grain structure model results and laboratory test results. The findings of the study show that the four types of models used in this study can all provide realistic representations of the mechanical behavior of rock. The study confirms that standard Voronoi approximations of grain structures can be reasonably used in lieu of less practical, manually developed representations of the grain structure. Specifically, Voronoi models can properly replicate the geometric heterogeneity within the grain structure, even though they simplify some of its geometric attributes.
Highlights Four types of models of granite specimens were generated, each type representing the specimen grain structure with a different degree of realism.Brazilian tensile strength simulation results obtained using deterministic, semi-deterministic, and two different Voronoi structures were compared.Validity of randomly generated Voronoi models to adequately approximate the geometric heterogeneity within the grain structure was investigated.Voronoi models provided strengths nearly equivalent to those obtained from the more complex deterministic and semi-deterministic models.
Modeling Brazilian Tensile Strength Tests on a Brittle Rock Using Deterministic, Semi-deterministic, and Voronoi Bonded Block Models
https://orcid.org/0000-0002-8903-1035
Abstract This study aims to numerically investigate how various common simplifications of grain structure representation in bonded block models affect simulations of rock mechanical behavior. Specimens of Wausau granite were characterized mechanically through Brazilian tensile strength tests for this work. The samples were also characterized petrographically using thin section microscopy, scanning electron microscopy-based automated mineralogy, and visual inspection. Four types of representations of the Wausau granite samples were developed, including 6 detailed manually developed deterministic models, 6 semi-deterministic models, and 120 randomly generated representations (Voronoi models). First, a calibrated set of micro-properties was determined using the deterministic representations to simulate the Brazilian tensile strength measurements. Next, the study examined the ability of different Voronoi tessellations to adequately represent the grain structure for the purposes of accurate tensile strength simulation. This was evaluated by comparing Voronoi model results to the deterministic grain structure model results and laboratory test results. The findings of the study show that the four types of models used in this study can all provide realistic representations of the mechanical behavior of rock. The study confirms that standard Voronoi approximations of grain structures can be reasonably used in lieu of less practical, manually developed representations of the grain structure. Specifically, Voronoi models can properly replicate the geometric heterogeneity within the grain structure, even though they simplify some of its geometric attributes.
Highlights Four types of models of granite specimens were generated, each type representing the specimen grain structure with a different degree of realism.Brazilian tensile strength simulation results obtained using deterministic, semi-deterministic, and two different Voronoi structures were compared.Validity of randomly generated Voronoi models to adequately approximate the geometric heterogeneity within the grain structure was investigated.Voronoi models provided strengths nearly equivalent to those obtained from the more complex deterministic and semi-deterministic models.
Modeling Brazilian Tensile Strength Tests on a Brittle Rock Using Deterministic, Semi-deterministic, and Voronoi Bonded Block Models
Inga, Carlos E. Contreras (Autor:in) / Sinha, Sankhaneel (Autor:in) / Walton, Gabriel (Autor:in) / Holley, Elizabeth (Autor:in)
2023
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
BKL:
38.58
Geomechanik
/
56.20
Ingenieurgeologie, Bodenmechanik
/
38.58$jGeomechanik
/
56.20$jIngenieurgeologie$jBodenmechanik
RVK:
ELIB41
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