Rocks are composed of different internal structures at different scales. They are composed of microstructures such as minerals, porosity, and fractures. Moreover, rocks are formed from the geological environment. Geostress and underground lead to a complex coupling system. The processes governing the interaction among the solid, liquid, and gas phases are highly complex and may involve mechanical, chemical, and electrical processes. The multi-physics, multi-process, and multiscale coupling models provide a very powerful framework to understand the behaviour of rocks in natural and engineered states incorporating theoretical, numerical, and experimental analysis.

In the past few years, we have witnessed advanced experimental and mathematical approaches and applications for geological engineering. The multi-scale, multi-physics, and multiprocess analysis covers a wide range of themes associated with multi-scale and multiphysics mechanics encountered in engineering and scientific research and practice. In particular, these analyses have provided significant advantages and tools for the modelling of complex geosystems in a robust and efficient manner.

This Special Issue aims at providing a platform to bring together original articles and reviews discussing recent mathematical and numerical advances and applications on multi-scale, multi-physics couplings in geological engineering. We welcome research including theoretical development, laboratory testing, field investigations, computational methods, and case studies.

Potential topics include but are not limited to the following:

• Multi-physics coupling theory including thermal-hydraulic-mechanics coupling theory
• Advanced monitoring and analysis methods in geological engineering
• Multi-physics and multi-process experimental equipment
• Advanced multi-scale modelling methods and mathematical approaches
• Challenges and solutions for the multi-physics, multi-process, and multi-scale coupling in geological engineering
• Design and analysis of typical cases of multi-physics, multi-process and multi-scale coupling applications based on field monitoring data
• Physical and mechanical properties, surface adsorption, and diffusion behaviour of clay minerals in deep soft rock
• Molecular dynamics theory of rock minerals