DOI QR코드

DOI QR Code

An Analytical Study on Generation of Pore-Water Pressures Induced by Flow and Waves in Seabed, and Resulting Liquefaction

흐름과 파에 의한 해저지반내 간극수압의 발생과 액상화에 관한 해석적인 연구

  • Lee, Kwang-Ho (Dept. of Energy Resources and Plant Eng., Catholic Kwandong Univ.) ;
  • Kim, Dong-Wook (Dept. of Civil and Environmental Eng., Graduate School, Korea Maritime and Ocean Univ.) ;
  • Kim, Do-Sam (Dept. of Civil Eng., Korea Maritime and Ocean Univ.) ;
  • Bae, Ki-Seong (Dept. of Ocean Civil Eng., Gyeongsang Univ.) ;
  • Jeon, Jong-Hyeok (Dept. of Civil and Environmental Eng., Graduate School, Korea Maritime and Ocean Univ.)
  • 이광호 (가톨릭관동대학교 에너지자원플랜트공학과) ;
  • 김동욱 (한국해양대학교 대학원 토목환경공학과) ;
  • 김도삼 (한국해양대학교 건설공학과) ;
  • 배기성 (경상대학교 해양토목공학과) ;
  • 전종혁 (한국해양대학교 대학원 토목환경공학과)
  • Received : 2015.08.19
  • Accepted : 2015.09.23
  • Published : 2015.10.31

Abstract

Analytical solutions for interaction between seabed and waves such as progressive wave or partial standing wave with arbitrary reflection ratio or standing wave have been developed by many researchers including Lee et al.(2014; 2015a; 2015b; 2015c; 2015d) and Yamamoto et al.(1978). They handled the pore-water pressure as oscillating pore-water pressure and residual pore-water pressure separately and discussed the seabed response on each pore-water pressure. However, based on field observations and laboratory experiments, the oscillating and residual pore-water pressures in the seabed do occur not separately but together at the same time. Therefore, the pore-water pressure should be investigated from a total pore-water pressure point of view. Thus, in this paper, the wave-induced seabed response including liquefaction depth was discussed among oscillating, residual, and total pore-water pressures' point of view according to the variation of wave, seabed, and flow conditions. From the results, in the field of flow with the same direction of progressive wave, the following seabed response has been identified; with increase of flow velocity, the dimensionless oscillating pore-water pressure increases, but the dimensionless residual pore-water pressure decreases, and consequently the dimensionless total pore-water pressure and the dimensionless liquefaction depth decrease.

진행파 혹은 임의 반사율을 갖는 부분중복파 혹은 완전중복파-흐름-해저지반의 상호작용에 관한 해석해가 Lee et al.(2014; 2015a; 2015b; 2015c; 2015d) 및 Yamamoto et al.(1978)과 같은 다수의 연구자들에 의해 유도되었으며, 그들은 진동간극수압과 잔류간극수압을 별개로 취급하여 각 파동에 의한 지반응답을 논의하였다. 그러나, 실제 현장이나 실험에서 해저지반내 간극수압은 진동성분과 잔류성분이 별개로 나타나는 것이 아니고 그의 합 (전간극수압)으로 주어지기 때문에 전간극수압의 관점에서 반드시 검토될 필요가 있다. 따라서, 본 연구에서는 진동간극수압과 잔류간극수압뿐만 아니라 전간극수압의 측면에서 파동조건, 지반조건 및 흐름조건의 변화에 따른 지반응답의 변동특성을 논의하였으며, 더불어 이에 따른 액상화의 연직깊이에서 특성변화를 검토하였다. 이로부터 진행파와 순방향의 흐름의 공존장에서는 흐름속도가 증가할수록 무차원진동간극수압이 증가하고, 무차원잔류간극수압은 감소하여 결과적으로 무차원전간극수압이 작아지며, 무차원액상화 깊이도 감소하는 등의 지반응답특성을 확인할 수 있었다.

Keywords

References

  1. Biot, M.A.(1941). General theory of three-dimensional consolidation, J. Applied Physics, 12, 155-164. https://doi.org/10.1063/1.1712886
  2. Chang, S.C., Lin, J.G., Chien, L.K. and Chiu, Y.F.(2007). An experimental study on non-linear progressive wave-induced dynamic stresses in seabed, Ocean Engineering, 34, 2311-2329. https://doi.org/10.1016/j.oceaneng.2007.05.010
  3. Cheng, L., Sumer, B.M. and Fredsoe, J.(2001). Solution of pore pressure build up due to progressive waves, Int. J. Numerical and Analytical Methods in Geomechanics, 25, 885-907. https://doi.org/10.1002/nag.159
  4. de Alba, P., Seed, H.B. and Chan, C.K.(1976). Sand liquefaction in large-scale simple shear tests, J. Geotechnical Engineering Division, 102, 909-928.
  5. Hsu, J.R.C., Jeng, D.S. and Tsai, C.P.(1993). Short-crested wave induced soil response in a porous seabed of infinite thickness, Int. J. Numer. Analytical Methods Geomech., 17, 553-576. https://doi.org/10.1002/nag.1610170803
  6. Jeng, D.S.(1996). Wave-induced liquefaction potential at the tip of a breakwater: an analytical solution, Applied Ocean Research, 18, 229-241. https://doi.org/10.1016/S0141-1187(96)00033-8
  7. Jeng, D.S. and Hsu, J.R.C.(1996). Wave-induced soil response in a nearly saturated sea-bed of finite thickness, Geotechnique, 46(3), 427-440. https://doi.org/10.1680/geot.1996.46.3.427
  8. Jeng, D.S.(1997). Wave-induced seabed instability in front of a breakwater, Ocean Engineering, 24(10), 887-917. https://doi.org/10.1016/S0029-8018(96)00046-7
  9. Jeng, D.S., Seymour, B.R. and Li, J.(2006). A new approximation for pore pressure accumulation in marine sediment due to water waves, Research Report No. R868, School of Civil Engineering, University of Sydney, Sydney, Australia.
  10. Jeng, D.S. and Seymour, B.R.(2007). Simplified analytical approximation for pore-water pressure buildup in marine sediments, J. Waterway, Port, Coastal, and Ocean Eng., ASCE, 133(4), 309-312. https://doi.org/10.1061/(ASCE)0733-950X(2007)133:4(309)
  11. Jeng, D.S.(2008). Effects of wave non-linearity on residual pore pressure in marine sediments, The Open Civil Eng. J., 2, 63-74. https://doi.org/10.2174/1874149500802010063
  12. Jeng, D.S., Zhou, X.L., Luo, X.D., Wang, J.H., Zhang, J. and Gao, F.P.(2010). Response of porous seabed to dynamic loadings, Geotech. Eng. J. SEAGS & AGSSEA, 41(4).
  13. Jeng, D.S.(2013). Porous models for wave-seabed interactions, Springer, 288.
  14. Lee, K.H., Kim, D.S., Kim, K.H., Kim, D.W. and Shin, B.S.(2014). Analytical method of partial standing wave-induced seabed response in finite soil thickness under arbitrary reflection, J. Korean Society of Coastal and Ocean Engineers, 26(5), 300-313 (in Korean). https://doi.org/10.9765/KSCOE.2014.26.5.300
  15. Lee, K.H., Kim, D.W., Kim, D.S., Kim, T.H., Kim, K.H. and Jeon, J.H.(2015a). An analytical solution of dynamic responses for seabed under flow and standing wave coexisting fields, J. Korean Society of Coastal and Ocean Engineers, 27(2), 118-134 (in Korean). https://doi.org/10.9765/KSCOE.2015.27.2.118
  16. Lee, K.H., Kim, D.W., Kang, G.C., Kim, D.S., Kim, T.H. and Na, S.M.(2015b). An analytical solution of dynamic responses for seabed under coexisting fields of flow and standing wave with arbitrary, J. the Korean Geotechnical Society, 31(6), 27-44 (in Korean). https://doi.org/10.7843/kgs.2015.31.6.27
  17. Lee, K.H., Kim, D.W., Kim, D.S., Kim, T.H., Kim, K.H. and Ryu, H.W.(2015c). An analytical solution of progressive waveinduced residual pore-water pressure in seabed, J. Korean Society of Coastal and Ocean Engineers, 27(3), 159-167 (in Korean). https://doi.org/10.9765/KSCOE.2015.27.3.159
  18. Lee, K.H., Kim, D.W., Kang, G.C., Kim, D.S. and Kim, T.H.(2015d). An analytical solution of flow and progressive wave-induced residual pore water pressure in seabed, J. the Korean Geotechnical Society, 31(7), 13-28 (in Korean). https://doi.org/10.7843/kgs.2015.31.7.13
  19. Liu, H. and Jeng, D.S.(2007). A semi-analytical solution for random wave-induced soil response and seabed liquefaction in marine sediments, Ocean Engineering, 34, 1211-1224. https://doi.org/10.1016/j.oceaneng.2006.07.004
  20. Madsen, O.S.(1978). Wave-induced poro pressure and effective stresses in a porous bed, Geotechnique, 28(4), 377-393. https://doi.org/10.1680/geot.1978.28.4.377
  21. McDougal, W.G., Tsai, Y.T., Liu, P.L.F. and Clukey, E.C.(1989). Wave-induced pore water pressure accumulation in marine soils, J. Offshore Mech. an Arctic Engng., ASME, 111(1), 1-11. https://doi.org/10.1115/1.3257133
  22. Okusa, S.(1985). Measurements of wave-induced pore pressure in submarine sediments under various marine conditions, Marine Geotechnology, 6(2), 119-144. https://doi.org/10.1080/10641198509388184
  23. Qi, W., Gao, F., Han, X. and Gong, Q.(2012). Local scour and porewater pressure around a monopile foundation under combined waves and currents, Proceedings of 22nd Intl. Offshore and Polar Eng. Conference, ISOPE, 159-165.
  24. Qi, W.G. and Gao, F.P.(2015). A modified criterion for waveinduced momentary liquefaction of sandy seabed, Theoretical and Applied Mechanics Letters, 5, 20-23. https://doi.org/10.1016/j.taml.2015.01.004
  25. Sassa, S. and Sekiguchi, H.(1999). Wave-induced liquefaction of beds of sand in a centrifuge, Geotechnique, 49(5), 621-638. https://doi.org/10.1680/geot.1999.49.5.621
  26. Sassa, S., Sekiguchi, H. and Miyamoto, J.(2001). Analysis of progressive liquefaction as a moving-boundary problem, Geotechnique, 51(10), 847-857. https://doi.org/10.1680/geot.2001.51.10.847
  27. Sawicki, A. and Mierczynski, J.(2005). Wave-induced stresses and liquefaction in seabed according to the Biot-type approach, Archives of Hydro-Engineering and Environmental Mechanics, 52(2), 131-145.
  28. Seed, H.B. and Rahman, M.S.(1978). Wave-induced pore pressure in relation to ocean floor stability of cohesionless soils, Marine Geotechnology, 3(2), 123-150. https://doi.org/10.1080/10641197809379798
  29. Seed, H.B., Pyke, R.M. and Martin, G.R.(1978). Effects of multidirectional shaking on pore pressure development in sands, J. Geotechnical Division, ASCE, 104, 27-44.
  30. Seed, H.B. and Lee, K.L.(1966). Liquefaction of saturated sands during cyclic loading, J. Soil Mechanics and Foundations Division, ASCE, 92, 105-134.
  31. Sumer, B.M. and Cheng, N.S.(1999). A random-walk model for pore pressure aqccumulation in marine soils, Proceedings of the 9th International Offshore and Polar Engineering Conference, ISOPE-99, Brest, France, 1, 521-526.
  32. Sumer, B.M., Hatipoglu, F., Fredse, J. and Sumer, S.K.(2006). The sequence of soil behavior during wave-induced liquefaction, Sedimentology, 53, 611-629. https://doi.org/10.1111/j.1365-3091.2006.00763.x
  33. Sumer, B.M.(2014). Liquefaction around marine structures, World Scientific, 453.
  34. Tsai, C.P. and Lee, T.L.(1994). Standing wave induced pore pressures in a porous seabed, Ocean Engineering, 22(6), 505-517. https://doi.org/10.1016/0029-8018(95)00003-4
  35. Tsai, C.P.(1995). Wave induced liquefaction potential in a porous seabed in front of a breakwater, Ocean Engineering, 22, 1-18. https://doi.org/10.1016/0029-8018(94)00042-5
  36. Wang, J.G., Karim, M.R. and Lin, P.Z.(2007). Analysis of seabed instability using element free Galerkin method, Ocean Engineering, 34, 247-260. https://doi.org/10.1016/j.oceaneng.2006.01.004
  37. Xu, H.(2012). Wave-induced liquefaction processes in marine sediments, PhD Thesis, University of Dundee, Scotland.
  38. Yamamoto, T., Koning, H.L., Sellmeijer, H. and Hijum, E.V.(1978). On the response of a poro-elastic bed to water waves, J. Fluid Mech., 87, Part 1, 193-206. https://doi.org/10.1017/S0022112078003006
  39. Ye, J., Jeng, D., Ren, W. and Changqi, Z.(2015). Numerical simulation of the wave-induced dynamic response of poro-elastoplastic seabed foundations and a composite breakwater, Applied Mathematical Modelling, 39, 322-347. https://doi.org/10.1016/j.apm.2014.05.031
  40. Young, Y.L., White, J.A., Xiao, H. and Borja, R.I.(2009). Liquefaction potential of coastal slopes induced by solitary waves, Acta Geotechnica, 4, 17-34. https://doi.org/10.1007/s11440-009-0083-6
  41. Zen, K. and Yamazaki, H.(1990a). Mechanism of wave-induced liquefaction and densification in seabed, Soil and Foundation, 30(4), 90-104. https://doi.org/10.3208/sandf1972.30.4_90
  42. Zen, K. and Yamazaki, H.(1990b). Oscillatory pore pressure and liquefaction in seabed induced by ocean wave, Soil and Foundation, 30(4), 147-161. https://doi.org/10.3208/sandf1972.30.4_147

Cited by

  1. Numerical Analysis on Liquefaction Countermeasure of Seabed under Submerged Breakwater using Concrete Mat Cover (for Regular Waves) vol.28, pp.6, 2016, https://doi.org/10.9765/KSCOE.2016.28.6.361