The hyperelastic constitutive model of porous solid and its application

The sealing of oil and gas wells, nuclear waste landfilling, and shallow geothermal energy utilization are hot research topics in the field of energy geotechnics, while the constitutive model theory of soil, rock, and concrete materials is the core area of these studies. However, errors arise from the calculation of deformation of rock and concrete materials due to the limitations of basic assumptions or construction methods in traditional soil mechanics and pore elasticity theory, the theoretical scalability of which is also weak. Based on the theory of saturated soil mechanics and pore elasticity theory, this paper analyzes and evaluates the related research work on the constitutive theory of porous solid materials. Furthermore, it uses thermodynamic means to establish the hyperelastic constitutive model of porous solid materials. The effectiveness of the proposed mechanical model is verified by the existing experimental datum on limestone and hardened cement paste.