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| An approach for rock density field inversion and spatial reconstruction of mechanical parameters |
| CHEN Yanzhao1, ,2, ZHOU Hao1, 2, YAO Xulong1, 2**, TAO Zhigang2, 3, LUAN Liming4, RONG Hui5, ZHAO Jizhong6 |
(1. College of Mining Engineering, North China University of Science and Technology, Tangshan，Hebei 063210, China;
2. Hebei Mine Green Intelligent Mining Technology Innovation Center, Tangshan, Hebei 063210, China; 3. School of Mechanics and Civil Engineering, China University of Mining and Technology, Beijing 100083, China; 4. Shandong Gold Group Co., Ltd., Jinan, Shandong 250102, China; 5. HBIS Mining Co., Ltd., Tangshan, Hebei 066501, China;
6. Shougang Luannan Macheng Mining Co., Ltd, Tangshan, Hebei 063500,, China) |
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Abstract As conventional methods for obtaining mechanical parameters neglect the evolution of internal damage within rock masses, rely heavily on fundamental mechanical experiments, and struggle to accurately reflect the overall mechanical response of rock masses in engineering contexts due to the challenges of obtaining localised mechanical parameters on-site, a density field and mechanical parameter inversion method based on Gardner′s coupledintegrated damage variable is proposed. Precise inversion of rock mass density is achieved by incorporating damage variables into Gardner′s empirical formula, combined with mass conservation constraints and a density range iterative correction mechanism, enabling the further derivation of rock mechanical parameters. Verification was achieved through combined experiments involving sandstone wave velocity imaging and cutting sample density measurements. The average relative error between the inverted density and the measured density was 1.13%, indicating that the two were essentially consistent. Three-dimensional spatial reconstruction of rock mechanical parameter fields is achieved by the inversion methods. The mechanical parameter field exhibits pronounced spatial coupling with the density field. High-density zones correspond to mechanically strengthened zones (featuring peak elastic moduli reaching 20.1 GPa, shear moduli 30.6% above the mean, and bulk moduli 1.9 GPa above the mean), while low-density zones correspond to damage-prone zones (where microcrack development results in damage levels 2.14 times the rock mass mean). The statistical reliability of the reconstructed mechanical parameter field was validated using the Weibull distribution. This approach overcomes the limitations of conventional empirical formulas by employing multi-physics collaborative inversion, thereby providing a quantitative basis for analysing rock mass fracture mechanisms and assessing engineering stability.
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2026, Vol. 45 
