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Research on the evolution law of microcracks in sandstone based on rectangular tensor inversion and RA-AF analysis
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Gang LIU1, 2, *, Xiang SHI1, 2, Yonglong ZAN1, 2, Shengxuan WANG1, 2
Chinese Journal of Rock Mechanics and Engineering | 2026, 45(2) : 381 - 396
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Chinese Journal of Rock Mechanics and Engineering | 2026, 45(2): 381-396
Research on the evolution law of microcracks in sandstone based on rectangular tensor inversion and RA-AF analysis
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Gang LIU1, 2, *, Xiang SHI1, 2, Yonglong ZAN1, 2, Shengxuan WANG1, 2
Affiliations
  • 1.School of Mining Engineering, Heilongjiang University of Science and Technology, Harbin, Heilongjiang 150022, China
  • 2.Heilongjiang Provincial Key Laboratory of Ground Pressure Control and Gas Control in Deep Coal Mine Mining, Heilongjiang University of Science and Technology, Harbin, Heilongjiang 150022, China
Published: 2026-02-01 doi: 10.3724/1000-6915.jrme.2025.0471
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To investigate the mesoscopic crack evolution behavior and the dominant mechanisms during the failure process of sandstone, an integrated approach combining acoustic emission moment tensor inversion with RA-AF parameter analysis was employed to quantitatively characterize the types, spatiotemporal distribution, and stress response characteristics of microcracks. Based on moment tensor theory and incorporating sensor coupling coefficients calibrated through pencil-lead break experiments, microcracks were classified into five categories—shear cracks, tensile-shear mixed-mode cracks, compressive-shear mixed-mode cracks, tensile cracks, and compressive cracks—using the crack tensile angle criterion. Furthermore, an RA-AF empirical model was established to support the analysis. The results indicate the following: (1) Under various loading paths, microcracks resulting from sandstone failure are predominantly shear cracks. The number of each of the five microcrack types exhibits a positive correlation with stress level, with shear cracks showing the most significant increase. (2) As stress increases, microcracks initiate, propagate, and gradually coalesce, forming a fracture zone that corresponds to the macroscopic failure surface. (3) RA-AF analysis reveals that shear cracks account for more than 50% of all microcracks in sandstone, which aligns with findings from moment tensor inversion. (4) Waveforms generated by tensile cracks exhibit abrupt characteristics, with concentrated signal energy in the frequency domain, whereas waveforms associated with shear cracks display oscillatory behavior, featuring dispersed frequency-domain energy and higher amplitude. This distinction provides a physical mechanism that explains the heterogeneity observed in RA-AF parameters. (5) Moment tensor inversion is well-suited for theory-driven, detailed analysis of crack mechanisms, while RA-AF analysis is more appropriate for rapid identification of crack types in engineering practice. This study elucidates the dominant micromechanical mechanism of shear failure in sandstone and the co-evolutionary behavior of multiple crack types, thereby providing a theoretical foundation for rock fracture prediction.

rock mechanics  /  acoustic emission  /  moment tensor inversion  /  RA-AF  /  type of rupture  /  waveform analysis
Gang LIU, Xiang SHI, Yonglong ZAN, Shengxuan WANG. Research on the evolution law of microcracks in sandstone based on rectangular tensor inversion and RA-AF analysis[J]. Chinese Journal of Rock Mechanics and Engineering, 2026 , 45 (2) : 381 -396 . DOI: 10.3724/1000-6915.jrme.2025.0471
  • National Science and Technology Major Project(2025ZD1011306)
  • Heilongjiang Provincial Natural Science Foundation of China(YQ2023E039)
Year 2026 volume 45 Issue 2
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Article Info
doi: 10.3724/1000-6915.jrme.2025.0471
  • Receive Date:2025-07-03
  • Online Date:2026-06-18
  • Published:2026-02-01
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History
  • Received:2025-07-03
  • Revised:2025-10-09
Funding
National Science and Technology Major Project(2025ZD1011306)
Heilongjiang Provincial Natural Science Foundation of China(YQ2023E039)
Affiliations
    1.School of Mining Engineering, Heilongjiang University of Science and Technology, Harbin, Heilongjiang 150022, China
    2.Heilongjiang Provincial Key Laboratory of Ground Pressure Control and Gas Control in Deep Coal Mine Mining, Heilongjiang University of Science and Technology, Harbin, Heilongjiang 150022, China

Corresponding:

* LIU Gang (1986–), associate professor, is engaged in research work in the field of rock mechanics in mines. E-mail:
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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