收藏切换
Dynamic prediction model of tunnel surrounding rock deformation based on Bayesian network
收藏切换
PDF
Hongxing WANG1, Keyao LI1, Chao ZHANG2, *, Junhao RUAN1, Liping WANG1, Wei LIU3, Shangwei WU1
Chinese Journal of Rock Mechanics and Engineering | 2026, 45(2) : 553 - 577
Less
收藏切换
Chinese Journal of Rock Mechanics and Engineering | 2026, 45(2): 553-577
Dynamic prediction model of tunnel surrounding rock deformation based on Bayesian network
Full
Hongxing WANG1, Keyao LI1, Chao ZHANG2, *, Junhao RUAN1, Liping WANG1, Wei LIU3, Shangwei WU1
Affiliations
  • 1.School of Safety Science and Engineering, Chongqing University of Science and Technology, Chongqing 400041, China
  • 2.State Key Laboratory of Geomechanics and Geotechnical Engineering Safety, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China
  • 3.School of Resource and Safety Engineering, Chongqing University, Chongqing 400044, China
Published: 2026-02-01 doi: 10.3724/1000-6915.jrme.2025.0477
Outline
收藏切换

Significant limitations and hysteresis are presented in dynamic prediction methods driven by on-site monitored displacement data for tunnel surrounding rock deformation. By comprehensively utilizing the physical information contained in tunnel construction project documents and the mathematical information from displacement time-series curves, a modelling method based on the dynamic Bayesian network (DBN) was developed using the concept of physical information machine learning (PIML) to achieve dynamic predictions of surrounding rock deformation. Through discretization processing and reconstruction of displacement time-series curves, a static sample database was established by combining physical information data with ultimate displacement data, while a dynamic sample database was created by integrating physical information data with displacement time-series curve data. Based on the characteristics of the static samples, the K2-score algorithm was improved to construct a static Bayesian network (BN) model for ultimate displacement prediction. Utilizing the static BN model and the characteristics of the dynamic samples, physical-data dual-drive modelling methods for the Markov DBN were derived by incorporating prior information, including the constraints of steady-state random processes and Markov process constraints. By integrating prior information for constraint-enhanced optimization, the optimized Markov DBN model was established. Five-fold cross-validation tests revealed that the prediction capability of the Markov DBN model decreased rapidly over time and that the network transition direction significantly affected this capability. In contrast, the prediction ability of the optimized Markov DBN model remained robust over time, was unaffected by the network transition direction, and significantly exceeded that of the Markov DBN model, as the optimized model enhanced constraint connections between target nodes and influencing factor nodes throughout the entire timeframe. Through engineering case analysis, it was concluded that before and during the early stages of tunnel construction, the optimized Markov DBN model could effectively predict displacement time-series curves, overcoming the limitations and hysteresis inherent in traditional methods. Furthermore, during construction, self-updating of the optimized Markov DBN model and dynamic predictions of surrounding rock deformation could be achieved by inputting the on-site monitored displacement data.

tunnel engineering  /  dynamic prediction of surrounding rock deformation  /  multi-source information fusion  /  dynamic Bayesian network  /  physical-data hybrid modelling  /  model self-update
Hongxing WANG, Keyao LI, Chao ZHANG, Junhao RUAN, Liping WANG, Wei LIU, Shangwei WU. Dynamic prediction model of tunnel surrounding rock deformation based on Bayesian network[J]. Chinese Journal of Rock Mechanics and Engineering, 2026 , 45 (2) : 553 -577 . DOI: 10.3724/1000-6915.jrme.2025.0477
  • Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202301530)
  • National Natural Science Foundation for Young Scholars of China(52304125)
  • Chongqing Natural Science Foundation Project(CSTB2023NSCQ-MSX0828)
Year 2026 volume 45 Issue 2
PDF
4
2
Cite this Article
BibTeX
Article Info
doi: 10.3724/1000-6915.jrme.2025.0477
  • Receive Date:2025-07-03
  • Online Date:2026-06-18
  • Published:2026-02-01
Article Data
Affiliations
History
  • Received:2025-07-03
  • Revised:2025-09-27
Funding
Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202301530)
National Natural Science Foundation for Young Scholars of China(52304125)
Chongqing Natural Science Foundation Project(CSTB2023NSCQ-MSX0828)
Affiliations
    1.School of Safety Science and Engineering, Chongqing University of Science and Technology, Chongqing 400041, China
    2.State Key Laboratory of Geomechanics and Geotechnical Engineering Safety, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China
    3.School of Resource and Safety Engineering, Chongqing University, Chongqing 400044, China

Corresponding:

* ZHANG Chao (1978–), research fellow, is engaged in geotechnical engineering disaster prevention and control. E-mail:
References
Share
https://castjournals.cast.org.cn/joweb/yslxygcxb/EN/10.3724/1000-6915.jrme.2025.0477
Share to
QR

Scan QR to access full text

Cite this article
BibTeX
Citations
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
关闭全屏
  • BibTeX
  • EndNote
  • RefWorks
  • TxT