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DNVGL RP F109 Submarine Pipeline Stability

Calculate DNVGL-RP-F109 pipeline lateral and vertical stability.

Static or absolute stability can be calculated for clay seabed, sandy seabed (D50 ≤ 50 mm), or rocky seabed (D50 > 50 mm). The single oscillation velocity corresponds to the maximum wave velocity in the return period. Maximum current velocity data should be used.

Dynamic stability can be calculated on clay and sandy seabeds for Lstable (pipe displacement ≤ 0.5 OOD), L10 (pipe displacement ≤ 0.5 OOD), or user defined pipe displacement. Significant current velocity data should be used.

Seabed wave velocity is calculated from the JONSWAP surface spectrum with an Airy wave transfer function. The calculation should only be used for elevations at or near the seabed. The Airy wave transform may not be valid in shallow water.

Reference : DNVGL-RP-F109 : On-Bottom Stability Design Of Submarine Pipelines (Download from the DNVGL website)

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CALCULATOR : Three Phase Black Oil Density [FREE]   ±

Calculate the density of two phase (oil and water) liquid, single phase gas, or three phase black oil (oil, water and gas). Water cut is measured relative to the total liquid volume (gas volume is ignored). Gas oil ratio (GOR) is measured relative to the oil volume at standard conditions (water volume is ignored).

Tool Input

  • mvtype : Fluid Density Type
    • GORu : User Defined Gas Oil Ratio
    • WCu : User Defined Water Cut
    • ρu : User Defined Fluid Density
  • ρo : Oil Density
  • ρw : Water Density
  • P : Fluid Pressure
  • T : Fluid Temperature
  • Z : Gas Compressibility Factor
  • SG : Gas Specific Gravity

Tool Output

  • ρf : Average Fluid Density
  • ρg : Gas Density
  • ρl : Liquid Density
  • GOR : Gas Oil Ratio
  • WC : Water Cut
  • Xmg : Gas Mass Fraction
  • Xml : Liquid Mass Fraction
  • Xmo : Oil Mass Fraction
  • Xmw : Water Mass Fraction
  • Xvg : Gas Volume Fraction
  • Xvl : Liquid Volume Fraction
  • Xvo : Oil Volume Fraction
  • Xvw : Water Volume Fraction
  • vg : Gas Mole Volume (At T P)
CALCULATOR : DNVGL-RP-F109 Section 3.6 Subsea Pipeline Lateral Static Or Absolute Stability (Multi Layer Pipe) [PLUS]   ±

Calculate subsea pipeline absolute lateral stability factor (DNVGL-RP-F109 section 3.6).

For absolute stability the stabillity factor is less than or equal to one. It is assumed that no movement of the pipeline will occur.

Tool Input

  • classtype : Safety Class
  • loctype : Pipeline Location
    • γscu : User Defined Safety Factor
  • schdtype : Line Pipe Schedule Type
  • diamtype : Line Pipe Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Line Pipe Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • wltype : Pipe Weight Type
    • OODu : User Defined Outer Diameter Including External Coating
    • Wsu : User Defined Submerged Weight
    • SGu : User Defined Specific Gravity
    • Wsiu : User Defined Installation Submerged Weight
    • SGiu : User Defined Installation Specific Gravity
  • hwtype : Wave Heading Type
    • Φwu : User Defined Wave Relative Heading
  • hctype : Current Heading Type
    • Φcu : User Defined Current Relative Heading
  • sfactype : Shape Factor Type
    • sfu : User Defined Spreading Factor
  • rdtype : Velocity Reduction Factor Type
    • Rwu : User Defined Wave Reduction Factor
    • Rcu : User Defined Current Reduction Factor
  • uctype : Current Velocity Type
  • gatype : Gamma Factor Type
    • γu : User Defined Gamma
  • muttype : Seabed Velocity And Period Type
    • Usu : User Defined Seabed Significant Wave Velocity
    • Tzu : User Defined Seabed Zero Upcrossing Wave Period
  • sptype : Wave Sample Period
    • Su : User Defined Wave Sample Period
  • roughtype : Seabed Roughness Type
    • zou : User Defined Seabed Roughness
  • soiltype : Soil Type
    • ssu : User Defined Clay Undrained Shear Strength
    • γs : User Defined Clay Dry Weight Per Voluime
    • γs' : User Defined Sand and Rock Submerged Weight Per Volume
  • frictype : Pipe Soil Lateral Friction Factor Type
    • μu : User Defined Friction Factor
  • rptype : Soil Permeability Type
  • ritype : Burial Type
    • zpu : User Defined Burial Depth
    • zoDu : User Defined Burial Ratio
  • rttype : Trench Type
    • ztu : User Defined Trench Depth
    • Θtu : User Defined Trench Angle
  • WTi : Pipe Liner Wall Thickness
  • ρi : Pipe And Liner Density
  • WTo : Pipe Coating Wall Thickness
  • ρo : Pipe Coating Density
  • ρd : Operating Contents Fluid Density
  • ρc : Maximum Contents Fluid Density (Usually Hydrotest)
  • ρw : Displaced Fluid (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
  • γsc : Safety Factor
  • μ : Pipe Soil Lateral Friction Factor
  • Cy* : Single Oscillation Horizontal Load Factor
  • Cz* : Single Oscillation Vertical Load Factor
  • F/F : Load Over Resistance Ratio
  • Fr : Passive Resistance
  • Fy* : Horizontal Load
  • Fz* : Vertical Load
  • Kc : Keulegan Carpenter Number
  • M : Steady To Oscillating Velocity Ratio
  • OOD : Pipe Outer Diameter Including Coatings
  • Rdc : Current Velocity Reduction Factor
  • Rdw : Wave Velocity Reduction Factor
  • SG : Pipe Specific Gravity Relative To Displaced Fluid
  • T* : Single Oscillation Zero Upcrossing Period
  • Tu : Wave Zero Upcrossing Period
  • Uc* : Reduced Current Velocity
  • Ur* : Reduced Wave And Current Combined Velocity
  • Us : Wave Reduced Significant Seabed Velocity
  • Uw* : Single Oscillation Reduced Wave Velocity
  • WLp : Pipe Maximum Submerged Weight
  • Ws : Pipe Total Weight Per Length Including Contents and Buoyancy
  • ro : Seabed Roughness
  • ry : Horizontal Force Factor
  • rz : Vertical Force Factor
  • sf : Wave Spreading Factor
  • z/OOD : Penetration Depth Over Diameter Ratio
  • zp : Soil Penetration Or Burial Depth
CALCULATOR : DNVGL-RP-F109 Section 3.5 Subsea Pipeline Lateral Dynamic Stability (Multi Layer Pipe) [PLUS]   ±

Calculate DNVGL-RP-F109 section 3.4.2-3 seabed wave and current velocity from wave period, wave height and current velocity.

Tool Input

  • schdtype : Line Pipe Schedule Type
  • diamtype : Line Pipe Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Line Pipe Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • wltype : Pipe Weight Type
    • OODu : User Defined Outer Diameter Including External Coating
    • Wsu : User Defined Submerged Weight
    • SGu : User Defined Specific Gravity
  • hwtype : Wave Heading Type
    • Φwu : User Defined Wave Relative Heading
  • hctype : Current Heading Type
    • Φcu : User Defined Current Relative Heading
  • sfactype : Shape Factor Type
    • sfu : User Defined Spreading Factor
  • rdtype : Velocity Reduction Factor Type
    • Rwu : User Defined Wave Reduction Factor
    • Rcu : User Defined Current Reduction Factor
  • uctype : Current Velocity Type
  • gatype : Gamma Factor Type
    • γu : User Defined Gamma
  • muttype : Seabed Velocity And Period Type
    • Usu : User Defined Seabed Significant Wave Velocity
    • Tzu : User Defined Seabed Zero Upcrossing Wave Period
  • sptype : Wave Sample Period
    • Su : User Defined Wave Sample Period
  • roughtype : Seabed Roughness Type
    • zou : User Defined Seabed Roughness
  • soiltype : Soil Type
    • ssu : User Defined Clay Undrained Shear Strength
    • γs : User Defined Clay Dry Weight Per Voluime
    • γs' : User Defined Sand and Rock Submerged Weight Per Volume
  • stabtype : Stability Type
    • Yu : User Defined Lateral Displacement Ratio
  • WTi : Pipe Liner Wall Thickness
  • ρi : Pipe And Liner Density
  • WTo : Pipe Coating Wall Thickness
  • ρo : Pipe Coating Density
  • ρc : Operating Contents Fluid Density
  • ρd : Displaced Fluid (Seawater) Density
  • Uref : Reference Current Velocity
  • Zref : 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
  • L/(2+M)^2 : Required Value For Stability
  • OOD : Pipe Outer Diameter Including Coatings
  • Rdc : Current Velocity Reduction Factor
  • Rdw : Wave Velocity Reduction Factor
  • S : Wave Sample Period
  • SG : Pipe Specific Gravity Relative To Displaced Fluid
  • SGs : Required Specific Gravity For Stability (≤ 1)
  • SGs/SG : Required Specific Gravity Over Pipe Specific Gravity Ratio
  • Tz : Wave Zero Upcrossing Period
  • Uc : Reduced Current Velocity
  • Ur : Reduced Wave And Current Combined Velocity
  • Us : Reduced Significant Wave Velocity
  • Ws : Pipe Total Weight Per Length Including Contents and Buoyancy
  • Wss : Required Submerged Weight For Stability
  • Y : Lateral Displacement Ratio
  • ro : Seabed Roughness
  • sf : Wave Spreading Factor
CALCULATOR : DNVGL-RP-F109 Section 3.2 Subsea Pipeline Vertical Stability (Multi Layer Pipe) [FREE]   ±

Calculate submerged pipe unit submerged weight and vertical stability in water (DNVGL-RP-F109 section 3.2).

In order to avoid flotation, the pipe specific gravity should be greater than or equal to one. If the pipe mass is uncertain, the pipe specific gravity should be greater than or equal to 1.1. Details of the individual pipe layers are displayed in the output at the bottom of the page.

Tool Input

  • schdtype : Line Pipe Schedule Type
  • diamtype : Line Pipe Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Line Pipe Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • wltype : Pipe Weight Type
    • OODu : User Defined Outer Diameter Including External Coating
    • wu : User Defined Submerged Weight
    • SGu : User Defined Specific Gravity
  • WTi : Pipe Liner Wall Thickness
  • ρi : Pipe And Liner Density
  • WTo : Pipe Coating Wall Thickness
  • ρo : Pipe Coating Density
  • ρf : Contents Fluid Density
  • ρb : Displaced Fluid Density

Tool Output

  • OOD : Pipe Outer Diameter Including Coatings
  • SG : Pipe Specific Gravity Relative To Displaced Fluid
  • Ws : Pipe Total Weight Per Length Including Contents and Buoyancy
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