2006, Volume 8, Issue 4
Strategic Study of CAE >> 2006, Volume 8, Issue 4
Numerical Modeling of Water Waves Interaction With Soft Mud Beds: Based on an Empirical Rheology Model Featured by Hysteresis Loop
Institute of Oceanology , Chinese Academy of Sciences , Qingdao , Shandong 266071 , China
Next Previous
Abstract
On the basis of the semi-empirical rheology model of soft mud under such oscillatory external forces as water waves, a vertical 2-D numerical model is developed for simulating the interaction between surface water waves and underlying soft mud beds. The rheology model used is featured by remarkable hysteresis loops in the relationships of shear strain versus shear stress and the rate of shear strain versus shear stress and strong nonlinearity. A logarithmic grid from the water-mud interface in the vertical direction is employed for numerical treatment, which increases the resolution of the flow in the neighborhood of both sides of the interface, thus contributes to reproducing the characteristics of wave boundary. Model verifications are given through comparisons between the calculated and the measured bed mud mass transport velocities as well as the rate of decay of surface wave heights.
Keywords
mud mass transport ; wave attenuation ; soft mud bed ; rheological model
Figures
图1
图2
图3
图4
图5
图6
图7
图8
References
[ 1 ] Sterling G H, Strohbeck E E.The failure of the SouthPass 70“B”platform in hurricanes Camille[A].Proc 5thConf on Offshore Technology[C].Texas, USA, 1973.719~730
[ 2 ] Kihara T, Takahashi M, Matsumoto M, et al.Observationof silt transport in shallows[A].Proc 34th Japanese Conf.on Coastal Engineering[C].JSCE, 1987.397~401, (inJapanese)
[ 3 ] Gade H G.Effects of a non-rigid impermeable bottom onplane surface waves in shallow water[J].J Mar Res, 1958, 16:61~82
[ 4 ] 王以谋, 范顺庭, 王兴德.黄河口“烂泥”波浪特性的分析[J].海洋科学, 1995, (6) :42~46 link1
[ 5 ] Dalrymple R A, Liu P L-F.Waves over soft mud:a two-layer fluid model[J].J Phys Oceanogr, 1978, (8) :1121~1131
[ 6 ] Mallard W W, Dalrymple R A.Water waves propagatingover a deformable bottom[A].Proc 9th Conf on OffshoreTechnology[C].1977.141~146
[ 7 ] Krone R B.A study of rheological properties of estuarinesediments[R].Tech Bulletin No.7, Committee on TidalHydraulics, US Army Corps of Engineers, WaterwaysExperiment Station, Vicksburg, USA
[ 8 ] Mei C C, Liu, K-F.A Bingham plastic model for a muddyseabed under long waves[J].J Geophys Res, 1987, 92 (C13) :14581~14594
[ 9 ] Macpherson H.The attenuation of water waves over a non-rigid bed[J].J Fluid Mechanics, 1980, 97:721~742
[10] Hsiao S V, Shemdin O H.Interaction of ocean waves witha soft bottom[J].J Phys Oceanogr, 1980, (10) :605~610
[11] Maa J P-Y, Mehta A J.Soft mud properties[J].JWaterway, Port, Coastal and Ocean Eng, ASCE, 1988, 114 (6) :765~769
[12] 练继建, 赵子丹, 张庆河.波流作用下底泥输移的非线性粘弹性体模型[J].科学通报, 1999, 44 (4) :445~448 link1
[13] Trien H N, Isobe M, Kobayashi T, et al.An experimentalstudy on rheological properties of mud in the coastal waters[A].Proc 37th Japanese Conf.on Coastal Engineering[C].JSCE, 1990, 225~229, (in Japanese)
[14] Jiang Q.Study on rheological properties and mass transportof soft muds under water Waves[D].Tokyo:University ofTokyo, 1996
[15] Sakakiyama T, Bijker, E W.Mass transport velocity inmud layer due to progressive waves[J].J waterway, Port, Coastal and Ocean Eng, ASCE, 1989, 115 (5) :614~633
[16] Shen D X, Isobe, M, Watanabe A.Mud mass transportunder waves based on an empirical rheology model[A].Proc 25th IAHR Congress[C], 1993, No.C-4-2, 120~127
[17] Ng C O.Water waves over a muddy bed:a two-layerStokes’boundary layer model[J].Coastal Engineering, 2000, 40:221~242
[18] 张庆河.规则波和不规则波与淤泥质底床的相互作用[D].天津:天津大学, 1994
京公网安备 11010502051620号
