Constitutive model of frozen red sandstone based on ice-solid binary medium

• Published in: Arabian journal of geosciences Vol. 14; no. 16
• Main Authors: Li, Zuyong, Yang, Gengshe
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.08.2021; Springer Nature B.V
• Subjects: Chemical potential; Compression; Constitutive models; Earth and Environmental Science; Earth science; Earth Sciences; Ground ice; Ice; Ice loads; Low temperature; Mathematical models; Original Paper; Parameter identification; Plastic deformation; Potential energy; Rocks; Sandstone; Sedimentary rocks; Triaxial compression tests; Chemical potential; Triaxial compression; Binary medium model; Damage evolution; Frozen rock
• ISSN: 1866-7511; 1866-7538
• DOI: 10.1007/s12517-021-07867-w

Based on the triaxial compression test results of frozen red sandstone, combined with rock failure characteristics, the frozen rock is considered that load is shared by the solid particle skeleton and pore ice based on the binary medium concept. According to the principle of equal chemical potential energy during the transition of the ice-water phase and the load damage law of frozen rock, combined with Hooke’s law when the geomaterial is under load, the binary medium constitutive model of frozen red sandstone is established. According to the triaxial compression test of red sandstone under different low temperatures and confining pressure conditions, the parameters of the binary medium constitutive model are determined through parameter identification. Based on the binary medium model, it is found that theoretical curve shows a good correlation with the test curve, which can better simulate the linear elastic, plastic yielding, and strain softening stages of frozen rock. Therefore, the frozen rock constitutive model based on ice and solid binary media is feasible.