|Table of Contents|

Review on application of CFD-DEM coupling method in study of local scouring around bridge piers(PDF)

长安大学学报(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2026年2期
Page:
85-105
Research Field:
桥梁与隧道工程
Publishing date:

Info

Title:
Review on application of CFD-DEM coupling method in study of local scouring around bridge piers
Author(s):
QI Hong-liang12 YU Ying-tao1 TIAN Wei-ping1 LI Jia-chun1 YAN Xi1 WANG Han-yu1
(1. Key Laboratory for Special Area Highway Engineering of Ministry of Education, Chang'an University,Xi'an 710064, Shaanxi, China; 2. Xi'an Key Laboratory of Geotechnical Engineering for Green and Intelligent Transport, Chang'an University, Xi'an 710064, Shaanxi, China)
Keywords:
bridge engineering local scouring CFD-DEM coupling method macroscopic and microscopic mechanisms
PACS:
U441.2
DOI:
10.19721/j.cnki.1671-8879.2026.02.007
Abstract:
The recent advances in the application of coupled computational fluid dynamics-discrete element method(CFD-DEM)for studying the local scouring around bridge piers were systematically reviewed. The focuses were on the dynamical mechanism of local scouring around bridge piers, the technical evolution of CFD-DEM coupling method, and their corresponding coupling strategies. The application of CFD-DEM coupling method in local scouring around bridge piers was analyzed from both the macroscopic and microscopic perspectives. On this basis, the current limitations in this research field were identified. The research results indicate that the CFD-DEM coupling method can effectively demonstrate the evolution process of bridge pier bypass flow, horseshoe, wake vortices and the relationship between initiation, transport and deposition of sediment particles, thereby providing an analytical tool from macroscopic to mesoscopic levels for revealing the local scouring mechanisms. Existing studies propel the transition of bridge local scouring research from scour depth prediction to particle dynamics process analysis. However, the simulation accuracy of turbulent structures under high Reynolds number conditions remains limited. Long-term computation at full-bridge scale poses significant challenges. Furthermore, the spherical particle assumption in DEM deviates from the morphology of natural sediment. The modeling of non-spherical particles still requires a trade-off between accuracy and efficiency. The computational cost of CFD-DEM coupling is relatively high. Although the coarse-graining method can improve efficiency, it may weaken the representations of local flow field and mesoscopic particle interaction. Additionally, the data exchange, time-step coordination and numerical stability of current multi-software coupling frameworks require further improvement. Future research should prioritize enhancing the parallel computing efficiency, refining the non-spherical sediment particle dynamics model, developing high-fidelity coarse-graining methods, and promoting the integration of coupling architectures alongside the in-depth application of AI-aided simulation.1 tab, 22 figs, 90 refs.

References:

[1] 《中国公路学报》编辑部.中国桥梁工程学术研究综述·2024[J].中国公路学报,2024,37(12):1-160.
Editorial Department of China Journal of Highway and Transport. Review of academic research on bridge engineering in China: 2024[J]. China Journal of Highway and Transport, 2024, 37(12): 1-160.
[2]熊 文,蔡春声,张嵘钊.桥梁水毁研究综述[J].中国公路学报,2021,34(11):10-28.
XIONG Wen, CAI Chun-sheng, ZHANG Rong-zhao. A review of research on bridge damage caused by floods[J]. China Journal of Highway and Transport, 2021, 34(11): 10-28.
[3]LIANG F, BENNTT C R, PARSONS R L, et al. A literature review on behavior of scoured piles under bridges[C]//ASCE. Contemporary Topics in In Situ Testing, Analysis, and Reliability of Foundations. Reston: ASCE, 2009: 482-489.
[4]WARDHANA K, HADIPRIONO F C. Analysis of recent bridge failures in The United States[J]. Journal of Performance of Constructed Facilities, 2003, 17(3): 144-150.
[5]XIONG W, CAI C S, KONG X. Instrumentation design for bridge scour monitoring using fiber Bragg grating sensors[J]. Applied Optics, 2012, 51(5): 547-557.
[6]易仁彦,周瑞峰,黄 茜.近15年国内桥梁坍塌事故的原因和风险分析[J].交通科技,2015(5):61-64.
YI Ren-yan, ZHOU Rui-feng, HUANG Qian. Reason and risk of bridge collapse in recent 15 years[J]. Transportation Science and Technology, 2015(5): 61-64.
[7]刘慧芳.具有自由液面的直立墩柱绕流及局部冲刷三维数值模拟研究[D].天津:天津大学,2012.
LIU Hui-fang. 3D numerical modeling of flow and local scour around a vertical pier piercing a free surface[D]. Tianjin: Tianjin University, 2012.
[8]秦泗凤.近期中国桥梁水毁事故回顾与分析[J].中外公路,2022,42(1):133-138.
QIN Si-feng. Review and discussion of recent water damage accidents of bridges in China[J]. Journal of China and Foreign Highway, 2022, 42(1): 133-138.
[9]ROULUND A, SUMER B M, FREDSØE J, et al. Numerical and experimental investigation of flow and scour around a circular pile[J]. Journal of Fluid Mechanics, 2005, 534: 351-401.
[10]KW AN R T F, MELVILLE B W. Local scour and flow measurements at bridge abutments[J]. Journal of Hydraulic Research, 1994, 32(5): 661-673.
[11]李文斌,胡裕成,张 乔,等.冲刷深度对桥梁水下桩基功能的影响研究[J].路基工程,2025(4):93-97.
LI Wen-bin, HU Yu-cheng, ZHANG Qiao, et al. Study on the influence of scour depth on the function of bridge underwater pile foundation[J]. Subgrade Engineering, 2025(4): 93-97.
[12]SHI J, HAN C H, GUO H J, et al. Influence of scour depth and flow velocity field on large-diameter pier group pile foundations[J]. Frontiers in Marine Science, 2024, 11: 1492861.
[13]PRENDERGAST L J, GAVIN K. A review of bridge scour monitoring techniques[J]. Journal of Rock Mechanics and Geotechnical Engineering, 2014, 6(2): 138-149.
[14]陈 冰.直立式圆柱周围动床冲刷数值模拟与实验研究[D].天津:天津大学,2017.
CHEN Bing. Numerical and experimental study of live-bed scour around a vertical cylinder[D]. Tianjin: Tianjin University, 2017.
[15]PIZARRO A, MANFREDA S, TUBALDI E. The science behind scour at bridge foundations: A review[J]. Water, 2020, 12(2): 374.
[16]NI X, XUE L P. Experimental investigation of scour prediction methods for offshore tripod and hexapod foundations[J]. Journal of Marine Science and Engineering, 2020, 8(11): 147263253.
[17]CHARRU F, MOUILLERON H, EIFF O. Erosion and deposition of particles on a bed sheared by a viscous flow[J]. Journal of Fluid Mechanics, 2004, 519: 55-80.
[18]MOUILLERON H, CHARRU F, EIFF O. Inside the moving layer of a sheared granular bed[J]. Journal of Fluid Mechanics, 2009, 628: 229-239.
[19]齐洪亮,王 杰,罗文俊,等.清水条件下环形石笼减小桥墩局部冲刷的机理[J].长安大学学报(自然科学版),2025,45(2):96-110.
QI Hong-liang, WANG Jie, LUO Wen-jun, et al. Mechanism of local scour reduction around pier using circular gabions in clear water[J]. Journal of Chang'an University(Natural Science Edition), 2025, 45(2): 96-110.
[20]齐洪亮,张 雪,潘玲玲.环形双石笼防护斜交布设桥墩局部冲刷效果及机理[J].长安大学学报(自然科学版),2025,45(6):107-123.
QI Hong-liang, ZHANG Xue, PAN Ling-ling. Effect and mechanism of local scour around piers in tandem with skew angle protected by double circular gabions[J]. Journal of Chang'an University(Natural Science Edition), 2025, 45(6): 107-123.
[21]LI J Z, YANG Y L, YANGZ W, et al. Influence of scour development on turbulent flow field in front of a bridge pier measured by PIV[J]. Water, 2020, 12(9): 2370.
[22]徐国平,高冬光.桥墩局部冲刷机理的探讨和65-2公式的改进[J].公路,1991,36(1):18-21.
XU Guo-ping, GAO Dong-guang. Discussion on local scour mechanism of bridge piers and improvement of 65-2 formula[J]. Highway, 1991, 36(1): 18-21.
[23]祝志文.桥梁风效应的数值方法及应用[D].长沙:中南大学,2002.
ZHU Zhi-wen. Numerical methods and applications of bridge wind effects[D]. Changsha: Central South University, 2002.
[24]ZANG Z P, ZHAO M, CHEN E B, et al. Numerical modeling of local scour around a subsea pipeline on cohesive seabed under steady currents[J]. Marine Georesources and Geotechnology, 2025, 43(3): 467-479.
[25]YU P, XU S, CHEN J C, et al. Three-dimensional numerical modeling of local scour around bridge foundations based on an improved wall shear stress model[J]. Journal of Marine Science and Engineering, 2024, 12(12): 2187.
[26]NGUYEN T H T, AHN J, PARK S W. Numerical and physical investigation of the performance of turbulence modeling schemes around a scour hole downstream of a fixed bed protection[J]. Water, 2018, 10(2): 103.
[27]KIM S, WILSON P A, CHEN Z M. Large-eddy simulation of the turbulent near wake behind a circular cylinder: Reynolds number effect[J]. Applied Ocean Research, 2015, 49: 1-8.
[28]ZHANG J, MIAO M M, WANG W, et al. Three-dimensional flow characteristics and structures in confluences based on large eddy simulation[J]. Journal of Hydrology, 2025, 655: 132956.
[29]LIU J W, LU J L, LIANG Z J. Computational simulation of monopile scour under tidal flow considering suspended energy dissipation[J]. Water, 2024, 16(14): 1940.
[30]KIRKIL G, CONSTANTINESCU G, ETTEMA R. Detached eddy simulation investigation of turbulence at a circular pier with scour hole[J]. Journal of Hydraulic Engineering, 2009, 135(11): 888-901.
[31]ZEE C H, ZEE R. Formulas for the transportation of bed load[J]. Journal of Hydraulic Engineering, 2017, 143(4): 04016101.
[32]MEYER-PETER E, MÜLLER R. Formulas for bed-load transport[C]//International Association of Hydraulic Research. Proceedings of International Association of Hydraulic Research. Delft: International Association of Hydraulic Research, 1948: 39-64.
[33]LIU M X, ZHU Y J, ZHOU Z X, et al. Bimodal bed load transport characteristics under the influence of mixture ratio[J]. Water, 2023, 15(3): 487.
[34]窦国仁.全沙模型相似律及设计实例[J].水利水运工程学报,1977(3):1-20.
DOU Guo-ren. A similarity theory concerning the design of total sediment transport models with reference to a particular project[J]. Hydro-Science and Engineering, 1977(3): 1-20.
[35]ANCEY C. Bedload transport: A walk between randomness and determinism. Part 2. Challenges and prospects[J]. Journal of Hydraulic Research, 2020, 58(1): 18-33.
[36]NAGEL T, CHAUCHAT J, BONAMY C, et al. Three-dimensional scour simulations with a two-phase flow model[J]. Advances in Water Resources, 2020, 138: 103544.
[37]SAUD AFZAL M, BIHS H, KAMATH A, et al. Three-dimensional numerical modeling of pier scour under current and waves using level-set method[J]. Journal of Offshore Mechanics and Arctic Engineering, 2015, 137(3): 032001.
[38]刘红军,李祺恒,朱成浩,等.多孔护圈对复合式基础的冲刷防护研究[J].中国海洋大学学报(自然科学版),2025,55(7):56-62.
LIU Hong-jun, LI Qi-heng, ZHU Cheng-hao, et al. Study on scour protection of composite foundation by perforated guard ring[J]. Periodical of Ocean University of China(Natural Science Edition), 2025, 55(7): 56-62.
[39]俞梅欣,王 彤,李小军,等.海床基三脚架基础局部冲刷与防护技术研究[J].海洋工程,2026,44(1):82-93.
YU Mei-xin, WANG Tong, LI Xiao-jun, et al. Research on local scour and protection techniques for the foundation of tripod seabed platforms[J]. Ocean Engineering, 2026, 44(1): 82-93.
[40]GUPTA L K, ELDHO T I. Numerical investigation of scour reduction around the circular pier using circular and octagonal collars and sacrificial piles in a nonuniform sediment bed[J]. Journal of Irrigation and Drainage Engineering, 2025, 151(3): 04025010.
[41]NIEMANN S L, FREDSØE J, JACOBSEN N G. Sand dunes in steady flow at low Froude numbers: dune height evolution and flow resistance[J]. Journal of Hydraulic Engineering, 2011, 137(1): 5-14.
[42]高正荣,杨程生,唐晓春,等.大型桥梁冲刷防护工程损坏特性研究[J].海洋工程,2016,34(2):24-34.
GAO Zheng-rong, YANG Cheng-sheng, TANG Xiao-chun, et al. Study on failure characteristics of scour protection engineering of large bridges[J]. The Ocean Engineering, 2016, 34(2): 24-34.
[43]杨程生,高正荣,唐晓春.感潮河段大型桥梁营运期水下地形监测研究[J].人民长江,2016,47(14):51-55,85.
YANG Cheng-sheng, GAO Zheng-rong, TANG Xiao-chun. Research on underwater topography monitoring of large bridges during operation in tidal reach[J]. Yangtze River, 2016, 47(14): 51-55, 85.
[44]闻云呈,朱大伟,王晓俊,等.台阶式沉井等效墩宽计算方法探究[J].海洋工程,2024,42(1):78-85.
WEN Yun-cheng, ZHU Da-wei, WANG Xiao-jun, et al. Research on a methodology for computing the equivalent width of a stepped caisson pier[J]. The Ocean Engineering, 2024, 42(1): 78-85.
[45]杨程生,蒋振雄,俞竹青,等.长江下游大型沉井基础局部冲刷计算公式研究[J].海洋工程,2022,40(3):105-114.
YANG Cheng-sheng, JIANG Zhen-xiong, YU Zhu-qing, et al. Study on local scour calculation formula of large open caisson foundation in the lower reaches of the Yangtze River[J]. The Ocean Engineering, 2022, 40(3): 105-114.
[46]凌建明,林小平,赵鸿铎.圆柱形桥墩附近三维流场及河床局部冲刷分析[J].同济大学学报(自然科学版),2007,35(5):582-586.
LING Jian-ming, LIN Xiao-ping, ZHAO Hong-duo. Analysis of three-dimensional flow field and local scour of riverbed around cylindrical pier[J]. Journal of Tongji University(Natural Science), 2007, 35(5): 582-586.
[47]余铖峥,黄 东,陈鑫池,等.悬移质溯源冲刷计算公式[J].广东水利水电,2025(11):54-61.
YU Cheng-zheng, HUANG Dong, CHEN Xin-chi, et al. Calculation formula for retrogressive erosion on suspended load[J]. Guangdong Water Resources and Hydropower, 2025(11): 54-61.
[48]黄才安,赵晓冬,龚敏飞.全沙输沙公式的比较研究[J].水道港口,2004,25(3):129-134.
HUANG Cai-an, ZHAO Xiao-dong, GONG Min-fei. Comparisons of total load sediment transport equation[J]. Journal of Waterway and Harbor, 2004, 25(3): 129-134.
[49]JIN Z H, WEI F F, WU Y W, et al. Simulations of debris flow impacting on bridge pier based on coupled CFD-DEM method[J]. Ocean Engineering, 2023, 279: 114532.
[50]TSUJI Y, KAWAGUCHI T, TANAKA T. Discrete particle simulation of two-dimensional fluidized bed[J]. Powder Technology, 1993, 77(1): 79-87.
[51]RAMÍREZ J G, LIU Z, BALTUSSEN M W, et al. CFD-DEM simulation of clustering behavior in a riser-effect of the collision model[J]. Powder Technology, 2025, 453: 120610.
[52]LI T S, HE L Y, SHEN J H, et al. CFD-DEM modelling of the conveying characteristics of a vertical pipeline for deep-sea mineral particles with wide particle size gradations[J]. Powder Technology, 2025, 453: 120654.
[53]CHEN J K, WANG Y S, LI X F, et al. Erosion prediction of liquid-particle two-phase flow in pipeline elbows via CFD-DEM coupling method[J]. Powder Technology, 2015, 275: 182-187.
[54]YANG K M, LI X, WANG Y C, et al. CFD-DEM simulation study on heat and mass transfer of wheat particles in gas-solid fluidized bed[J]. Journal of Food Process Engineering, 2025, 48(1): e70036.
[55]TANG Z, LI Z Z, HUANG S L, et al. Numerical study of gas-solid flow characteristics of cylindrical fluidized beds based on coarse-grained CFD-DEM method[J]. The Canadian Journal of Chemical Engineering, 2025, 103(4): 1917-1936.
[56]YUE Y H, ZHAO W W, CHEN Y D, et al. CFD-DEM study of scale-up of spout-fluidized bed for PCM encapsulation[J]. Powder Technology, 2025, 453: 120649.
[57]YANG J C, LOW Y M, LEE C H, et al. Numerical simulation of scour around a submarine pipeline using computational fluid dynamics and discrete element method[J]. Applied Mathematical Modelling, 2018, 55: 400-416.
[58]SONG S, PARK S. Unresolved CFD and DEM coupled simulations on scour around a subsea pipeline[J]. Journal of Marine Science and Engineering, 2022, 10(5): 556.
[59]HU D, TANG W, SUN L, et al. Numerical simulation of local scour around two pipelines in tandem using CFD-DEM method[J]. Applied Ocean Research, 2019, 93: 101968.
[60]CHEHADE R, CHEVALIER B, DEDECKER F, et al. Effect of boulder size on debris flow impact pressure using a CFD-DEM numerical model[J]. Geosciences, 2022, 12(5): 188.
[61]苏东升,张庆河,孙建军,等.基于CFD-DEM耦合方法的近床面水流泥沙运动模拟研究[J].水道港口,2016,37(3):224-230.
SU Dong-sheng, ZHANG Qing-he, SUN Jian-jun, et al. Simulation of fluid-sediment particle motion near bed based on CFD-DEM coupling method[J]. Journal of Waterway and Harbor, 2016, 37(3): 224-230.
[62]钱 宁.推移质公式的比较[J].水利学报,1980(4):1-11.
QIAN Ning. A comparison of the bed load formulas[J]. Journal of Hydraulic Engineering, 1980(4): 1-11.
[63]MA H H, ZHANG S Y, LI B E, et al. Local scour around the monopile based on the CFD-DEM method: experimental and numerical study[J]. Computers and Geotechnics, 2024, 168: 106117.
[64]孙建军.基于CFD-DEM耦合模拟的圆柱局部冲刷研究[D].天津:天津大学,2017.
SUN Jian-jun. Numerical investigation of scour around cylinder based on CFD-DEM coupling simulation[D]. Tianjin: Tianjin University, 2017.
[65]LI J H, TAO J L. CFD-DEM two-way coupled numerical simulation of bridge local scour behavior under clear-water conditions[J]. Transportation Research Record, 2018, 2672(39): 107-117.
[66]DARGAHI B. The turbulent flow field around a circular cylinder[J]. Experiments in Fluids, 1989, 8(1): 1-12.
[67]DWIVEDI A, MELVILLE B, SHAMSELDIN A Y. Hydrodynamic forces generated on a spherical sediment particle during entrainment[J]. Journal of Hydraulic Engineering, 2010, 136(10): 756-769.
[68]SUMER B M, OGUZ B. Particle motions near the bottom in turbulent flow in an open channel[J]. Journal of Fluid Mechanics, 1981, 109: 311-337.
[69]KANDASAMY J K, MELVILLE B W. Maximum local scour depth at bridge piers and abutments[J]. Journal of Hydraulic Research, 1998, 36(2): 183-198.
[70]MA H H, LI B E, ZHANG S Y. Scour mechanism around a pipeline under different current-wave conditions using the CFD-DEM coupling model[J]. Computers and Geotechnics, 2024, 170: 106304.
[71]MA H H, ZHANG S Y, LI B E. Numerical investigation of local scour around twin piles under steady current using CFD-DEM coupling method[J]. Computers and Geotechnics, 2023, 164: 105805.
[72]ATAIE-ASHTIANI B, BEHESHTI A A. Experimental investigation of clear-water local scour at pile groups[J]. Journal of Hydraulic Engineering, 2006, 132(10): 1100-1104.
[73]史佳明,张景新.直立圆柱局部冲刷初始形态演化的CFD-DEM数值模拟[J].水动力学研究与进展(A辑),2024,39(4):558-565.
SHI Jia-ming, ZHANG Jing-xin. CFD-DEM numerical simulation of the initial evolution of local scour forms of vertical cylinder[J]. Journal of Hydrodynamics, 2024, 39(4): 558-565.
[74]ZHANG P Y, MU L L, HUANG M S, et al. Microscopic insights into local scour around a vertical circular pile under steady current: Coupled LES-CGDEM simulations[J]. Computers and Geotechnics, 2025, 184: 107248.
[75]ZHENG Z Y, HU Z, XIE X G, et al. Local scour around the monopile: A microscopic perspective using CFD-DEM[J]. Ocean Engineering, 2024, 299: 117318.
[76]REN X, SU H, YU H-H, et al. Wall-modeled large eddy simulation and detached eddy simulation of wall-mounted separated flow via OpenFOAM[J]. Aerospace, 2022, 9(12): 759.
[77]GE L, SOTIROPOULOS F. A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries[J]. Journal of Computational Physics, 2007, 225(2): 1782-1809.
[78]KUMAR L, AFZAL M S. A review of the state of research on bridge pier scour under combined action of waves and current[J]. Acta Geophysica, 2023, 71(5): 2359-2379.
[79]LI D, ZHENG Z Y, HU Z, et al. Microscopic investigation of shape effect on local scour around the monopile using CFD-DEM[J]. Computers and Geotechnics, 2025, 177: 106872.
[80]刘 钦,谭 林,王 哲,等.泥沙颗粒特性对海洋桩基局部冲刷的影响机理研究[J].中国农村水利水电,2025(9):58-70,76.
LIU Qin, TAN Lin, WANG Zhe, et al. Study on mechanism of the impact of sediment particle characteristics on local scour of marine pile foundation[J]. China Rural Water and Hydropower, 2025(9): 58-70, 76.
[81]徐园园.单向流作用下立柱冲刷的试验研究[D].大连:大连理工大学,2018.
XU Yuan-yuan. Experimental investigation of scour around vertical piles in steady currents[D]. Dalian: Dalian University of Technology, 2018.
[82]ZHENG Z Y, HU Z, MA H H, et al. Role of sacrificial pile in scour mitigation around the monopile: A multiscale perspective using CFD-DEM[J]. Ocean Engineering, 2025, 327: 120979.
[83]齐洪亮,罗文俊,王 杰,等.透水牺牲桩减少上下游桥墩局部冲刷深度及机理[J].长安大学学报(自然科学版),2024,44(2):68-79.
QI Hong-liang, LUO Wen-jun, WANG Jie, et al. Mechanism of permeable sacrificial pile to reduce local scour depth of longitudinal double piers[J]. Journal of Chang'an University(Natural Science Edition), 2024, 44(2): 68-79.
[84]祝志文,刘震卿.桥梁基础局部冲刷CFD模拟的研究进展[J].中国公路学报,2021,34(11):29-47.
ZHU Zhi-wen, LIU Zhen-qing. Review on CFD simulations for local scour around bridge foundations[J]. China Journal of Highway and Transport, 2021, 34(11): 29-47.
[85]JIN H Y, WANG S, HE Y R. Investigation of drying process of non-spherical particle in a pulsed fluidized bed[J]. Particuology, 2025, 98: 134-141.
[86]ZHAO S W, ZHOU X W, LIU W H, et al. Random packing of tetrahedral particles using the polyhedral discrete element method[J]. Particuology, 2015, 23: 109-117.
[87]LIU G Y, XU W J, ZHOU Q. DEM contact model for spherical and polyhedral particles based on energy conservation[J]. Computers and Geotechnics, 2023, 153: 105072.
[88]GAO X, YU J, LU L Q, et al. Development and validation of super DEM-CFD coupled model for simulating non-spherical particles hydrodynamics in fluidized beds[J]. Chemical Engineering Journal, 2021, 420: 127654.
[89]ZHAN L, PENG C, ZHANG B Y, et al. A surface mesh represented discrete element method(SMR-DEM)for particles of arbitrary shape[J]. Powder Technology, 2021, 377: 760-779.
[90]ZHOU L Y, ZHAO Y Z. CFD-DEM simulation of fluidized bed with an immersed tube using a coarse-grain model[J]. Chemical Engineering Science, 2021, 231: 116290.

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