Multiscale statistical damage constitutive model of reef limestone based on digital cores
LI Wenjie1, QU Dengxing1, 2, LI Xinping1, 2, WANG Liangjun3, ZHU Yingwei1, 2, LUO Yi1, 2, LIU Tingting1, 2, MENG Fei1, 2
(1. School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan, Hubei 430070, China; 2. Sanya Science and Education Innovation Park, Wuhan University of Technology, Sanya, Hainan 572025, China; 3. China Gezhouba Group Co., Ltd., Wuhan, Hubei 430033, China)
Abstract：To characterize the influence of micro- and meso-structures on the macroscopic mechanical properties of reef limestone, this study investigates two typical types of reef limestone. Through multi-scale physical and mechanical experiments, the intrinsic correlations among microscopic minerals, mesostructural characteristics, and macroscopic mechanical properties are systematically elucidated. Utilizing digital rock technology and mesoscopic homogenization methods, a multi-scale statistical damage constitutive model for reef limestone is established. The experimental results reveal significant variability in the macroscopic mechanical properties of reef limestone. The two types of reef limestone exhibit distinct differences in pore structure at the mesoscopic scale, while nanoindentation and X-ray diffraction (XRD) analyses indicate that their microscopic mineral compositions and matrix mechanical properties are highly similar. Consequently, the pore structure is identified as the key factor influencing the macroscopic mechanical response of reef limestone. By employing statistical damage theory and digital rock technology, the reef limestone is conceptualized as an assemblage of microelements forming a two-phase pore-matrix system. Assuming that microelement failure adheres to the Drucker-Prager strength criterion, the equivalent strength of the microelements is derived using the established microelement equivalent strength model. The strength probability distribution function of the microelement assemblage is then fitted to construct the multi-scale statistical damage constitutive model for reef limestone. Validation results demonstrate that the proposed model effectively captures the entire deformation process of reef limestone, from linear elasticity to peak strength, enabling cross-scale characterization from microscopic heterogeneity to macroscopic mechanical behavior. Although the model has certain limitations in representing the deformation mechanisms during the compaction stage, it provides a theoretical foundation for understanding the mechanical behavior of porous rocks.
李文杰1，瞿登星1，2，李新平1，2，王良军3，朱应伟1，2，罗 忆1，2，刘婷婷1，2，孟 飞1，2. 基于数字岩心的礁灰岩多尺度统计损伤本构模型研究[J]. 岩石力学与工程学报, 2025, 44(12): 3386-3402.
LI Wenjie1, QU Dengxing1, 2, LI Xinping1, 2, WANG Liangjun3, ZHU Yingwei1, 2, LUO Yi1, 2, LIU Tingting1, 2, MENG Fei1, 2. Multiscale statistical damage constitutive model of reef limestone based on digital cores. , 2025, 44(12): 3386-3402.
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