Underground engineering faces unique challenges, including geological uncertainties, structural stability, and environmental impacts. Traditional methods often fall short in addressing these complexities, necessitating the adoption of advanced mathematical physics techniques and innovative materials. Recent developments in computational physics, such as finite element analysis, lattice Boltzmann methods, and quantum-inspired algorithms, have provided powerful tools for simulating and optimizing underground systems. Concurrently, the emergence of advanced materials, such as self-healing polymers, nanocomposites, and fiber material, has revolutionized the design and durability of underground structures. This Research Topic will contextualize these advancements and explore their synergistic potential in transforming underground engineering practices.

The integration of mathematical physics methods and advanced materials has opened new frontiers in addressing complex challenges in underground engineering. This Research Topic aims to explore innovative approaches that leverage cutting-edge mathematical models, computational techniques, and novel materials to solve problems related to underground construction, resource extraction, and environmental sustainability. Recent advances in areas such as multi-scale modeling, machine learning, and smart materials have significantly enhanced our ability to predict, analyze, and optimize underground systems. By bringing together interdisciplinary research, this collection seeks to highlight state-of-the-art methodologies and their practical applications, fostering collaboration between physicists, engineers, and material scientists to drive progress in this critical field.

We invite contributions that address the application of mathematical physics methods and advanced materials in underground engineering. Specific themes include but are not limited to:
• Multi-scale and multi-physics modeling of underground systems.
• Physical characteristics of geological structure and engineering optimization design.
• Development and characterization of advanced materials for underground applications.
• Risk assessment and mitigation strategies using probabilistic and statistical methods.

We welcome original research articles, reviews, and perspectives that provide novel insights or comprehensive overviews of the field. Interdisciplinary studies bridging physics, materials science, and engineering are particularly encouraged. Submissions should emphasize both theoretical advancements and practical applications, with a focus on addressing real-world challenges in underground engineering.

Are you interested in contributing a manuscript to this Research Topic?

Mathematical Physics Methods and Advanced Materials in Frontier Applications for Underground Engineering