Grain-Based Numerical Modeling of Brittle Rock Mechanics

Grain-based numerical modelling of brittle rock mechanics captures the discrete nature of mineral grains and their interfaces to reproduce fracture initiation, propagation and coalescence in rocks. At the core of this approach lies the representation of individual grains as rigid or deformable blocks bonded by contact laws that account for tensile and shear failure. Model calibration aligns microscale parameters with laboratory measurements of elastic modulus, strength and crack thresholds, enabling simulations that mirror uniaxial and triaxial tests. Advances in hybrid finite–discrete element methods permit the seamless transition between intact grain behaviour and fully developed discontinuities, offering insights into energy release, microcrack clustering and fragmentation patterns. Recent developments also integrate coupled thermal and hydro-mechanical processes, reflecting the influence of temperature variations and pore-fluid pressures on microcrack evolution. Applications span rock-engineering problems such as underground excavation stability, geothermal reservoir stimulation and assessment of host rocks for waste disposal. By resolving the control of grain size, shape, mineralogy and spatial heterogeneity on bulk response, grain-based models inform both the fundamental physics of brittle failure and the design of safer, more efficient subsurface operations.

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Grain-Based Numerical Modeling of Brittle Rock Mechanics publication trend

The graph below shows the total number of articles in grain-based numerical modeling of brittle rock mechanics across all publications each year (not limited to Nature Index journals).

Technical terms

Discrete Element Method (DEM): A numerical technique that models materials as an assembly of distinct particles or blocks interacting via contact laws to simulate fracture and deformation.

Finite–Discrete Element Method (FDEM): A hybrid approach combining finite-element analysis for elastic grain behaviour with discrete-element mechanics for crack initiation and propagation.

Grain-Based Model (GBM): A representation of rock microstructure in which individual mineral grains and their bonded contacts are explicitly defined to capture heterogeneity.

Hydro-Mechanical Coupling: The simultaneous simulation of fluid flow and mechanical deformation within a porous or fractured medium, accounting for pore-pressure effects on strength and stiffness.

Digital Image Correlation (DIC): A non-contact optical method for measuring full-field surface displacements and strains, used to validate numerical models of rock deformation.

Voronoi Tessellation: A geometrical partitioning technique that generates polygonal grains based on random seed points, commonly used to create realistic grain structures in numerical models.

References

1. Grain-based DEM modelling of mechanical and coupled hydro-mechanical behaviour of crystalline rocks. Engineering Geology (2024).
2. Evaluation of Damage Stress Thresholds and Mechanical Properties of Granite: New Insights from Digital Image Correlation and GB-FDEM. Rock Mechanics and Rock Engineering (2024).
3. Evolutionary Analysis of Heterogeneous Granite Microcracks Based on Digital Image Processing in Grain-Block Model. Materials (2022).