Modification of the Peck Formula for Double-Line Large-Diameter Slurry Shield Tunnels in Composite Strata

Mei Yuan; Liu Ziyang; Zhou Dongbo; Wang Yifei; Zhang Yuhang

doi:10.20174/j.JUSE.2026.03.05

Chinese Journal of Underground Space and Engineering >

2026 , Vol. 22 >Issue 3: 788 - 799

DOI: https://doi.org/10.20174/j.JUSE.2026.03.05

Modification of the Peck Formula for Double-Line Large-Diameter Slurry Shield Tunnels in Composite Strata

Mei Yuan ,
Liu Ziyang ,
Zhou Dongbo ,
Wang Yifei ,
Zhang Yuhang

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1. College of Civil Engineering, Xi' an University of Architecture and Technology, Xi' an 710055, P. R. China;
2. Shaanxi Key Lab of Geotechnical and Underground Space Engineering, Xi' an University of Architecture and Technology, Xi' an 710055, P. R. China

Received date: 2025-07-15

Online published: 2026-06-23

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Abstract

With the acceleration of urbanization, underground space development has become an important way to relieve the pressure of urban traffic. In composite formation, the construction of a double-line large-diameter mud-water shield tunnel faces complicated geological conditions and construction problems. Based on the measured surface settlement data of a double-line tunnel project in Hangzhou, this study adopts a mathematical method to perform regression analysis and introduces the correction coefficient α of the maximum surface settlement and the correction coefficient β of the width of the settlement trough to correct the double-line Peck formula. Meanwhile, combining the superposition principle, an applicable correction method for the superposed section of the double-line tunnel in composite formation is proposed. In order to accurately predict the ground settlement law of double-line large-diameter mud-water shield tunnel construction in composite formation. The results show that there is a great difference between the measured value and the predicted value of the Peck formula of the double-line large-diameter mud shield before correction. Examples show that the superposition section correction method can effectively improve the fitting degree of the superposition section prediction curve when the center distance L of the two-track tunnel is greater than (i left +i right). By comparing the corrected coefficient range ofthe Peck formula with different diameters, it can be seen that the large-diameter shield is better than the small-diameter shield in vertical settlement control, and the distribution range of the corrected coefficient of sedimentation tank width is larger than that of the small-diameter shield. The research can provide a reference for the design and construction of large-diameter shield tunnels in China.

Key words： composite strata; double-line tunnel; Peck formula; large-diameter slurry shield; parameter modification

Cite this article

Mei Yuan , Liu Ziyang , Zhou Dongbo , Wang Yifei , Zhang Yuhang . Modification of the Peck Formula for Double-Line Large-Diameter Slurry Shield Tunnels in Composite Strata[J]. Chinese Journal of Underground Space and Engineering, 2026 , 22(3) : 788 -799 . DOI: 10.20174/j.JUSE.2026.03.05

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