Mathematics Applied in Rock Mechanics and Mining Science

Dear Colleagues,

The fields of rock mechanics and mining science aim to elucidate the complex, multi-scale, and often discontinuous behavior of geomaterials under a variety of loading and environmental conditions. The inherent uncertainties associated with rock mass properties, in situ stress fields, and the dynamic nature of excavation processes present significant challenges for traditional empirical and deterministic approaches. In recent decades, the application of advanced mathematical theories and computational methods has revolutionized our ability to model, analyze, and predict the behavior of rock masses, leading to enhanced safety, efficiency, and sustainability in geotechnical and mining engineering.

This Special Issue will showcase high-quality research and review articles that demonstrate the pivotal role of modern mathematics in addressing these complex challenges. We welcome contributions that employ sophisticated mathematical tools to develop novel models, innovative numerical simulations, and data-driven methodologies for a wide range of applications. Topics of interest include, but are not limited to, the development and solution of partial differential equations for coupled thermo-hydro-mechanical(THMC) processes; the use of statistical and probabilistic methods for rock mass characterization and risk assessment; the application of machine learning and artificial intelligence for the predictive modeling of rockburst, slope stability, and subsidence; advanced finite element, discrete element, and boundary element methods for simulating fracture propagation and rock fragmentation; network theory and topology optimization for mine planning and ventilation design; and inverse analysis and data assimilation techniques for calibrating models with field monitoring data. Other topics related to mathematical and computational methods in rock mechanics and mining science are also welcome.

By bringing together cutting-edge research from mathematicians, computational scientists, and mining engineers, this Special Issue will serve as a platform to highlight the transformative power of mathematics. It will foster interdisciplinary dialog and contribute to the development of next-generation tools that will be crucial in tackling the evolving demands of rock mechanics and mining science.

Dr. Peng Li
Guest Editor

Manuscript Submission Information

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