Numerical study for waves propagating over a porous seabed around a submerged permeable breakwater: PORO-WSSI II model

The phenomenon of the wave, seabed and structure interactions has attracted great attentions from coastal geotechnical engineers in recent years. Most previous investigations have based on individual approaches, which focused on either flow region or seabed domain. In this study, an integrated model (PORO-WSSI II), based on the Volume-Averaged/Reynolds-Averaged Navier-Stokes (VARANS) equations and Biot's poro-elastic theory, is developed to investigate the mechanism of the wave-permeable structure-porous seabed interactions. The new model is verified with the previous experimental data. Based on the present model, parametric studies have been carried out to investigate the influences of wave, soil and structure parameters on the wave-induced pore pressure. Numerical results indicated: (i) longer wave period and larger wave height will obviously induce a higher magnitude of pore pressure at the leading edge of a breakwater; (ii) after a full wave-structure interaction, the magnitude of pore pressure below the lee side of a breakwater decreases with an increasing structure porosity while it varies dramatically with a change of structure height; and (iii) the seabed thickness, soil permeability and the degree of saturation can also significantly affect the dynamic soil behaviour.

[1]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[2]  Tsutomu Sakakiyama,et al.  A numerical model for wave motions and turbulence flows in front of a composite breakwater , 2002 .

[3]  Kuang-An Chang,et al.  Numerical Modeling of Wave Interaction with Porous Structures , 2001 .

[4]  F. Gao Numerical Modelling of Wave Interaction with Porous Structures , 2007 .

[5]  Dong-Sheng Jeng,et al.  Wave-induced response of seabed: Various formulations and their applicability , 2009 .

[6]  善 功企,et al.  Mechanism of wave-induced liquefaction and densification in seabed. , 1990 .

[7]  D. Jeng,et al.  Experimental study on ocean waves propagating over a submerged breakwater in front of a vertical seawall , 2005 .

[8]  Katsutoshi Tanimoto,et al.  Verification of a VOF-based two-phase flow model for wave breaking and wave–structure interactions , 2006 .

[9]  Pengzhi Lin,et al.  Internal Wave-Maker for Navier-Stokes Equations Models , 1999 .

[10]  M. B. C. Ulker,et al.  Response of saturated and nearly saturated porous media: Different formulations and their applicability , 2009 .

[11]  Ching-Piao Tsai,et al.  Wave transformation over submerged permeable breakwater on porous bottom , 2006 .

[12]  N. Mizutani,et al.  NONLINEAR WAVE-INDUCED SEABED INSTABILITY AROUND COASTAL STRUCTURES , 1998 .

[13]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[14]  Dong-Soo Hur,et al.  Simulation of the nonlinear dynamic interactions between waves, a submerged breakwater and the seabed , 2008 .

[15]  Chiang C. Mei,et al.  Wave-induced responses in a fluid-filled poro-elastic solid with a free surface : A boundary layer theory , 1981 .

[16]  Shiro Maeno,et al.  Liquefaction And Densification of Loosely Deposited Sand Bed Under Water Pressure Variation , 1993 .

[17]  S. Okusa,et al.  Wave-induced stresses in unsaturated submarine sediments , 1985 .

[18]  Pengzhi Lin,et al.  A numerical study of breaking waves in the surf zone , 1998, Journal of Fluid Mechanics.

[19]  Hiroyuki Yamazaki,et al.  MECHANISM OF WAVE-INDUCED LIQUEFACTION AND DENSIFICATION IN SEABED , 1990 .