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Ocean Wave And Current Seabed Stability

Calculate subsea critical seabed velocity for seabed stability and sediment movement from the critical shields number.

The Shields parameter is used to calculate the onset of seabed instability due to sediment movement. For subsea waves and currents the critical Shields parameter is approximately 0.04. For laminar flow the critical Shields parameter is approximately 0.03.

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CALCULATOR : Ocean Wave And Current Velocity Airy Stokes And Cnoidal Wave [PLUS]   ±

Calculate combined ocean wave and current velocity and acceleration for Airy, Stokes and cnoidal waves.

Wave length can be calculated from wave period, or wave period can be calculated from wave length. Current velocity can be calculated near the seabed using either the logarithmic profile, or the 1/7th power law profile. The velocity and acceleration can be calculated at either the wave surface (varies with phase angle), the wave trough height, the seabed, or at a user defined height above the seabed. Use the Result Plot option to plot the wave profiles, wave velocity or wave acceleration versus phase angle.

Tool Input

  • uctype : Current Velocity Type
  • roughtype : Seabed Roughness Type
    • zou : User Defined Seabed Roughness
  • wavetype : Wave Type
  • lttype : Wave Parameter Type
    • Tu : User Defined Wave Period
    • Lu : User Defined Wave Length
  • phasetype : Phase Angle Type
    • Θu : User Defined Phase Angle
    • xu : User Defined Displacement
    • tu : User Defined Time
  • ztype : Height Above Seabed Type
    • zhu : User Defined Height
  • d : Water Depth
  • H : Wave Height
  • Um : Reference Velocity
  • zm : Reference Height Above Seabed

Tool Output

  • Θ : Wave Phase Angle
  • η : Wave Surface Relative To Mean Sea Level
  • Ah : Wave Horizontal Acceleration
  • Am : Wave Acceleration Magnitude
  • Av : Wave Vertical Acceleration
  • L : Wave Length
  • T : Wave Period
  • Vc : Current Velocity
  • Vc/Vt : Current Velocity Over Horizontal Velocity Ratio
  • Vh : Wave Horizontal Velocity
  • Vm : Wave Velocity Magnitude
  • Vt : Total Horizontal Velocity
  • Vv : Wave Vertical Velocity
  • c : Wave Celerity
  • cvg : Convergence Check
  • ro : Seabed Roughness
  • zh : Height Above Seabed
  • zs : Wave Surface Height Above Seabed
  • zw : Wave Trough Height Above Seabed

CALCULATOR : Ocean Wave And Current Seabed Velocity JONSWAP Wave [FREE]   ±

Calculate wave and current seabed reduced velocity and acceleration from JONSWAP surface spectrum and heading.

The JONSWAP surface spectrum can be used to calculate the significant wave velocity at or near the seabed. The calculation should not be used for elevations greater than half the water depth.

Wave and current heading can be entered as relative heading (relative to the structure), or as absolute heading (relative heading equals difference in absolute heading to the struture). A relative heading of zero degrees is parallel to the structure, or ninety degrees is perpendicular to the structure.

Tool Input

  • roughtype : Seabed Roughness Type
    • zou : User Defined Seabed Roughness
  • uctype : Current Velocity Type
  • gatype : Gamma Factor Type
    • γu : User Defined Gamma
  • Vr : Reference Current Velocity
  • Zr : Reference Height Above Seabed
  • d : Water Depth
  • Hs : Wave Significant Height
  • Tp : Peak Wave Period
  • z : Height Above Seabed

Tool Output

  • γ : Gamma Peak Enhancement Factor
  • ωp : Wave Peak Frequency
  • L : Wave Length
  • M0 : 0th Spectral Moment
  • M2 : 2nd Spectral Moment
  • Tz : Zero Upcrossing Period
  • Uc : Current Velocity
  • Us : Significant Wave Velocity
  • Ut : Wave And Current Combined Velocity
  • cvg : Convergence Factor
  • kw : Wave Number
  • ro : Seabed Roughness

CALCULATOR : Ocean Wave And Current Critical Shields Number And Water Velocity For Seabed Instability [FREE]   ±

Calculate the Shields parameter and critical fluid velocity for the onset of seabed instability due to sediment movement.

The Shields parameter is used to calculate the onset of seabed instability due to sediment movement. For subsea waves and currents the critical Shields parameter is approximately 0.04. For laminar flow the critical Shields parameter is approximately 0.03.

Tool Input

  • roughtype : Seabed Roughness Type
    • D50u : User Defined Particle Diameter
  • facttype : Critical Shields Parameter Type
    • ϴcu : User Defined Critical Shields Number
  • wavetype : Friction Factor Type
  • Uc : Current Velocity
  • Uw : Wave Horizontal Velocity
  • T : Wave Period
  • ρb : Seawater Density
  • ρp : Particle Density

Tool Output

  • ϴ : Shields Parameter
  • ϴcr : Critical Shields Parameter
  • τ : Fluid Shear Stress
  • CVG : Convergence Factor
  • D50 : Mean Particle Diameter
  • Ss : Particle Relative Density
  • Ucr : Critical Fluid Velocity
  • fw : Friction Factor