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Research on parameters of the Peck settlement formula for shield tunnels obliquely crossing upper the Yellow River dike
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Xiangjun SUN1, 2, Gang DENG1, 2, Dongyang LI3, Wei LU1, 2, Qing’an LI4, Yanyi ZHANG1, 2
Journal of Hydraulic Engineering | 2026, 57(5) : 744 - 754
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Journal of Hydraulic Engineering | 2026, 57(5): 744-754
Research on parameters of the Peck settlement formula for shield tunnels obliquely crossing upper the Yellow River dike
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Xiangjun SUN1, 2, Gang DENG1, 2, Dongyang LI3, Wei LU1, 2, Qing’an LI4, Yanyi ZHANG1, 2
Affiliations
  • 1.State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin，China Institute of Water Resources and;Hydropower Research，Beijing 100038，China
  • 2.Key Laboratory of Construction and Safety of Water Engineering of the Ministry;of Water Resources，China Institute of Water Resources and Hydropower Research，Beijing 100038，China
  • 3.Tianqiao Yellow River Administration Bureau，Jinane Yellow River Administration Bureau，Jinan 250031，China
  • 4.Shandong Yellow River Reconnaissance Design & Research Institute Co.，Ltd.，Jinan 250013，China
Published: 2026-05-20 doi: 10.3724/j.slxb.20250422
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Shield tunnel excavation beneath levees induces settlement deformation that poses a direct threat to levee integrity. Focusing on the planar oblique crossing between a shield tunnel and an embankment， this study investigates the effect of the horizontal oblique angle on the parameters of the classical Peck formula within an oblique coordinate framework. A modified approach for determining Peck formula parameters， incorporating a correction for the horizontal oblique angle， is proposed. Based on the Huanggang Road Tunnel project crossing beneath the Yellow River in Jinan， a field monitoring system was established to measure post-construction embankment settlement. The ground loss ratio and settlement trough width parameter， considering the influence of the horizontal oblique angle， were back-analyzed using the least squares regression method. The results show that the average settlement trough width parameter for the embankment strata in the Jinan section of the Yellow River is approximately 0.43， and the average ground loss ratio is about 0.31%. Neglecting the horizontal oblique angle leads to an overestimation of these parameters by approximately 12%， which may result in improper judgments regarding code compliance. Validation using measured data from the Jiluo Road Tunnel crossing beneath the Yellow River demonstrates that the proposed parameters offer satisfactory predictive capability and practical engineering applicability.

shield tunnel  /  Yellow River dike  /  oblique crossing upper  /  Peck formula  /  regression test
Xiangjun SUN, Gang DENG, Dongyang LI, Wei LU, Qing’an LI, Yanyi ZHANG. Research on parameters of the Peck settlement formula for shield tunnels obliquely crossing upper the Yellow River dike[J]. Journal of Hydraulic Engineering, 2026 , 57 (5) : 744 -754 . DOI: 10.3724/j.slxb.20250422
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doi: 10.3724/j.slxb.20250422
  • Receive Date：2025-08-01
  • Online Date：2026-06-25
  • Published：2026-05-20
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  • Received：2025-08-01
Affiliations
    1.State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin，China Institute of Water Resources and;Hydropower Research，Beijing 100038，China
    2.Key Laboratory of Construction and Safety of Water Engineering of the Ministry;of Water Resources，China Institute of Water Resources and Hydropower Research，Beijing 100038，China
    3.Tianqiao Yellow River Administration Bureau，Jinane Yellow River Administration Bureau，Jinan 250031，China
    4.Shandong Yellow River Reconnaissance Design & Research Institute Co.，Ltd.，Jinan 250013，China
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
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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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