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Research on the application of the CEL method in anchor penetration depth
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Xiang'en Bai1, *, Chenyang Wang1, Tianjiao Duchen2, Xiaofeng Xu1, Yanzhen Chen3, Xiangqi Meng4
Navigation of China | 2026, 49(4) : 175 - 185
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Navigation of China | 2026, 49(4): 175-185
• Marine Traffic Safety •
Research on the application of the CEL method in anchor penetration depth
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Xiang'en Bai1, *, Chenyang Wang1, Tianjiao Duchen2, Xiaofeng Xu1, Yanzhen Chen3, Xiangqi Meng4
Affiliations
  • 1.Merchant Marine College, Shanghai Maritime University, Shanghai 201306, China
  • 2.Department of Automotive Engineering, Shandong Transport Vocational College, Weifang 201206, China
  • 3.Marine Design and Research Institute of China, Shanghai 200011, China
  • 4.School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
Published: 2026-08-25 doi: 10.3969/j.issn.1000-4653.2026.04.019
Outline
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Emergency anchoring operations pose a serious threat to the safety of subsea pipelines. Existing empirical formulas and theoretical models often show limited adaptability under complex geological conditions, particularly in characterizing the nonlinear evolution of soil strength during high-velocity penetration. To address this problem, this study takes the Hall anchor, which is widely used on merchant ships, as the research object and investigates the penetration behavior of ship emergency anchoring under static conditions using the Coupled Eulerian-Lagrangian (CEL) method. The Mohr-Coulomb constitutive model and the Einav strain-rate softening relationship are introduced to describe the dynamic degradation of soil strength. The anchor-soil contact interface is treated using the penalty function method, and an Eulerian domain with 586 000 elements is determined through a mesh convergence test. Taking the muddy clay in the waters of an offshore wind farm as the engineering background, the maximum penetration depths of emergency anchoring for a 20 000 GT LPG carrier and a 50 000 DWT oil tanker are calculated to be 2.908 m and 3.033 m, respectively. Compared with the DNV energy method and Young's formula, the proposed method can better reflect soil heterogeneity and large-deformation characteristics. The simulation results are further compared with experimental data, showing maximum errors of 13.1% in penetration depth and 16.1% in bottom-impact velocity, both of which are within the acceptable range for engineering applications. The results indicate that the proposed method has high reliability and is consistent with engineering practice, providing theoretical and technical support for subsea pipeline design, route planning, and anchoring risk control.

waterway transportation  /  anchor penetration  /  finite element analysis
白响恩, 王晨阳, 杜陈天骄, 徐笑锋, 陈彦臻, 孟祥麒. CEL方法在抛锚贯入深度中的应用研究. 中国航海, 2026 , 49 (4) : 175 -185 . DOI: 10.3969/j.issn.1000-4653.2026.04.019
Xiang'en Bai, Chenyang Wang, Tianjiao Duchen, Xiaofeng Xu, Yanzhen Chen, Xiangqi Meng. Research on the application of the CEL method in anchor penetration depth[J]. Navigation of China, 2026 , 49 (4) : 175 -185 . DOI: 10.3969/j.issn.1000-4653.2026.04.019
Year 2026 volume 49 Issue 4
154
30
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doi: 10.3969/j.issn.1000-4653.2026.04.019
  • Receive Date:2025-11-15
  • Online Date:2026-09-28
  • Published:2026-08-25
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  • Received:2025-11-15
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Affiliations
    1.Merchant Marine College, Shanghai Maritime University, Shanghai 201306, China
    2.Department of Automotive Engineering, Shandong Transport Vocational College, Weifang 201206, China
    3.Marine Design and Research Institute of China, Shanghai 200011, China
    4.School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, 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
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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