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Ocean Wave And Current Self Burial

Calculate subsea pipeline self burial due to seabed movement on a sandy seabed.

Piping occurs on mobile sandy seabeds, and is not applicable for rock or clay seabeds.

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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 Subsea Pipeline Self Burial Due To Seabed Movement [PLUS]   ±

Calculate the pipeline self burial depth due to piping for a pipeline resting on a sandy seabed.

Piping occurs on mobile sandy seabeds, and is not applicable for rock or clay seabeds.

Tool Input

  • hwtype : Wave Heading Type
    • Φwu : User Defined Wave Relative Heading
  • hctype : Current Heading Type
    • Φcu : User Defined Current Relative Heading
  • sfactype : Shape Factor Type
    • su : User Defined Spreading Factor
  • rdtype : Velocity Reduction Factor Type
    • Rwu : User Defined Wave Reduction Factor
    • Rcu : User Defined Current Reduction Factor
  • roughtype : Seabed Roughness Type
    • zou : User Defined Seabed Roughness
  • uctype : Current Velocity Type
  • gatype : Gamma Factor Type
    • γu : User Defined Gamma
  • muttype : Wave Velocity And Period Type
    • Usu : User Defined Seabed Significant Wave Velocity
    • Tzu : User Defined Seabed Zero Upcrossing Wave Period
  • OOD : Pipe Outer Diameter Including Coatings
  • γ : Soil Dry Unit Weight
  • ϕ : Soil Friction Angle
  • ρw : Seawater Density
  • Ur : Reference Current Velocity
  • Zr : Reference Height Above Seabed
  • d : Water Depth
  • Hs : Wave Significant Height
  • Tp : Peak Wave Period

Tool Output

  • Φrc : Relative Current Heading
  • Φrw : Relative Wave Heading
  • γ : Gamma Peak Enhancement Factor
  • Cy : Horizontal Force Coefficient
  • Fy : Horizontal Force
  • Kc : Keulegan Carpenter Number
  • M : Steady To Oscillating Velocity Ratio
  • Rdc : Current Velocity Reduction Factor
  • Rdw : Wave Velocity Reduction Factor
  • Tz : Zero Upcrossing Period
  • Uc : Reduced Current Velocity
  • Ur : Reduced Wave And Current Combined Velocity
  • Us : Reduced Wave Significant Velocity
  • cvg : Convergence Factor
  • ro : Seabed Roughness
  • sf : Wave Spreading Factor
  • zpp : Piping Burial Depth
  • zpp/OOD : Piping Burial Depth Over Pipe Diameter Ratio