ISSN 2096-4498

   CN 44-1745/U

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Multi-Objective Optimization of Cross-Sectional Design and Safe Navigation Speed in Navigable Tunnels

  • DENG Bin ,
  • SONG Jiaying ,
  • ZHANG Aiping ,
  • GUAN Zhixin ,
  • ZHANG Wen ,
  • JIANG Changbo
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  • (1. Key Laboratory of Navigation Structures Technology, the Ministry of Transport, Nanjing 210029, Jiangsu, China; 2. School of Hydraulic and Ocean Engineering, Changsha University of Science & Technology, Changsha 410114, Hunan, China; 3. Key Laboratory of Water-Sediment Sciences and Water Disaster Prevention of Hunan Province, Changsha 410114, Hunan, China; 4. Hunan Provincial Water Resources Development and Investment Co., Ltd., Changsha 410007, Hunan, China; 5. Hunan Provincial Communications Planning, Survey & Design Institute Co., Ltd., Changsha 410200, Hunan, China; 6. Hunan Port Shipping & Water Resources Group Co., Ltd., Changsha 410004, Hunan, China)

Online published: 2026-01-20

Abstract

Navigable tunnels with small cross-sections can be difficult to navigate. To improve navigational and economic efficiency, and navigational safety, comprehensive multi-objective optimization models are established based on the cross-sectional dimensions, navigational safety, and navigational capacity. First, for above-water and underwater tunnel cross-sections, multi-objective optimization functions including the underwater cross-sectional coefficient, navigational water depth, and tunnel outline dimensions are constructed, which are restrained by ship speed and structural clearance, respectively. Subsequently, a block-cage wave dissipation structure is designed and evaluated through numerical simulations to optimize the hydrodynamic conditions in tunnels. Finally, a three-dimensional numerical model of a 2 000-t class ship is developed to calculate wave height and flow velocity under different cross-sectional conditions, determine safe navigation speed limits, and develop an empirical formula. The major results are as follows: (1) The proposed optimization method effectively predicts underwater and above-water tunnel cross-sectional dimensions under navigational constraints. (2) The wave dissipation structure reduces the wave height and flow velocity by 30.69% and 51.34%, respectively, effectively improving hydrodynamic conditions. (3) The recommended safe navigation speed is 1.41-2.19 m/s for a 2000-t class ship in underwater tunnels with widths of 15.20-25.20 m. The empirical formula is applicable to various cross-sectional dimensions.

Cite this article

DENG Bin , SONG Jiaying , ZHANG Aiping , GUAN Zhixin , ZHANG Wen , JIANG Changbo . Multi-Objective Optimization of Cross-Sectional Design and Safe Navigation Speed in Navigable Tunnels[J]. Tunnel Construction, 2026 , 46(1) : 145 -156 . DOI: 10.3973/j.issn.2096-4498.2026.01.01

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