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Copula Function Method for Simulating the Occurrence of Jointed Rock Mass Structural Plane under Different Fitting Indexes
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Qing-yang REN1, 2, Jian SHI1, 2, Yan-ding WANG1, 2, Song-qiang XIAO1, 2
Science Technology and Engineering | 2025, 25(10) : 4274 - 4283
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Science Technology and Engineering | 2025, 25(10): 4274-4283
Papers·Architectural Science
Copula Function Method for Simulating the Occurrence of Jointed Rock Mass Structural Plane under Different Fitting Indexes
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Qing-yang REN1, 2, Jian SHI1, 2, Yan-ding WANG1, 2, Song-qiang XIAO1, 2
Affiliations
  • 1 State Key Laboratory of Mountain Bridge and Tunnel Engineering, Chongqing Jiaotong University, Chongqing 400074, China
  • 2 School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China
Published: 2025-04-08 doi: 10.12404/j.issn.1671-1815.2403837
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In order to accurately select the Copula function to simulate the mutual correlation between inclination and dip of jointed rock mass structural plane, the Copula function method to simulate the occurrence of jointed rock mass structural plane under different fitting indexes was proposed. The optimal Copula function was determined by using the least square Euclidian, AIC information criterion and BIC information criterion, and the optimal edge distribution type of the observed occurrence data of the structural plane was determined by Matlab software. At the same time, Monte Carlo sampling method was used to automatically generate simulation data, and the data was imported into Dips software for visualization processing, and the erP projection map of occurrence was obtained. The difference between the measured dip and inclination data and the simulated data determined by Copula function under different fitting indexes was compared. Finally, the validity of the method is tested based on engineering cases. The results show that different fitting indicators will produce different Copula functions, and there will be great differences in the effectiveness of simulation occurrence. Improper fitting indicators may lead to the selection of inaccurate Copula functions, so that the model can not accurately capture the relevant structure and features of the data. Inappropriate fitting indexes may lead to large errors between the fitting model and the real data, which will decrease the predictive ability and interpretation ability of the model. In this case, it is shown that the Gaussian Copula function selected under the fitting index of least square Euclidene values has the best fitting effect on the measured data. This research will help to select the appropriate fitting index when using Coupla function.

structural plane  /  copula function  /  attitude  /  fitting index  /  cross-correlation  /  equatorial projection
Qing-yang REN, Jian SHI, Yan-ding WANG, Song-qiang XIAO. Copula Function Method for Simulating the Occurrence of Jointed Rock Mass Structural Plane under Different Fitting Indexes[J]. Science Technology and Engineering, 2025 , 25 (10) : 4274 -4283 . DOI: 10.12404/j.issn.1671-1815.2403837
Year 2025 volume 25 Issue 10
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Article Info
doi: 10.12404/j.issn.1671-1815.2403837
  • Receive Date:2024-05-23
  • Online Date:2025-07-09
  • Published:2025-04-08
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History
  • Received:2024-05-23
  • Revised:2025-01-14
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Affiliations
    1 State Key Laboratory of Mountain Bridge and Tunnel Engineering, Chongqing Jiaotong University, Chongqing 400074, China
    2 School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China
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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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