3 - dnv rules for marine operations
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DNV Marine Operations’ Rulesfor Subsea Lift Operations
New Simplified Method for Prediction of Hydrodynamic Forces
Tormod BøeDNV Marine Operations2nd December 2009
DNV Marine Operations' Rules for Subsea Lift Operations Slide 22 December 2009
Content
Brief overview of relevant DNV publications
DNV Rules for Marine Operations, 1996, Pt.2 Ch.5 Lifting – Capacity Checks
New Simplified Method for calculation of hydrodynamic forces, DNV-RP-H103 Ch.4
CFD Analyses – Test Cases
DNV Marine Operations' Rules for Subsea Lift Operations Slide 32 December 2009
Relevant DNV Publications
Lifting- and subsea operations :
DNV-OS-E402Offshore Standard for Diving Systems January 2004(Amendments October 2009)
DNV Rules for Planning and Execution of Marine Operations – 1996
’Special planned, non-routine operations of limited durations, at sea. Marine operations arenormally related to temporary phases as e.g.load transfer, transportation and installation.’
DNV Standard for CertificationNo.2.22 Lifting AppliancesOctober 2008
DNV Standard for CertificationNo. 2.7-1 Offshore ContainersApril 2006
Special planned non-routine operations Routine operations
DNV Marine Operations' Rules for Subsea Lift Operations Slide 42 December 2009
Relevant DNV Publications - Other
DNV-RP-C205 Environmental Conditions and Environmental Loads April 2007
DNV-RP-H101 Risk Management in Marine and Subsea Operations, January 2003
DNV-RP-H102 Marine Operations during Removal of Offshore Installations, April 2004
DNV-RP-H103 Modelling and Analysis of Marine Operations, April 2009
Standard for Certification No. 2.7-3 Portable Offshore Units, June 2006 (a new revision will be issued 2010 which will include subsea units)
DNV-OS-J-101 and -201 Design of Offshore Wind Turbine Structures and Substations for Wind Farms, October 2007 / 2009
DNV-OS-E303 and -RP-E304 Offshore Mooring Fibre Ropes, Certification (2008) and Damage Assessment (2005)
DNV Marine Operations' Rules for Subsea Lift Operations Slide 52 December 2009
Relevant DNV Publications - Purchase
DNV publications can be purchased at:
http://webshop.dnv.com/global/
DNV Marine Operations' Rules for Subsea Lift Operations Slide 62 December 2009
Content
Brief overview of relevant DNV publications
DNV Rules for Marine Operations, 1996, Lifting – Capacity Checks
New Simplified Method for calculation of hydrodynamic forces
CFD Analyses – Test Cases
DNV Marine Operations' Rules for Subsea Lift Operations Slide 72 December 2009
Capacity Checks - DNV 1996 Rules
Rules for Planning and Execution of Marine Operations, 1996
Part 1 - General
Pt.1 Ch.1 - Warranty SurveysPt.1 Ch.2 - Planning of
OperationsPt.1 Ch.3 - Design LoadsPt.1 Ch.4 - Structural Design
Part 2 - Operation Specific Requirements
Pt.2 Ch.1 - Load Transfer OperationsPt.2 Ch.2 - TowingPt.2 Ch.3 - Special Sea TransportsPt.2 Ch.4 - Offshore InstallationPt.2 Ch.5 - LiftingPt.2 Ch.6 - Sub Sea OperationsPt.2 Ch.7 - Transit and Positioning
of Mobile Offshore Units
DNV Marine Operations' Rules for Subsea Lift Operations Slide 82 December 2009
Capacity Checks - DNV 1996 Rules
Part 2 Chapter 5
Dynamic loads, lift in air
Crane capacity
Rigging capacity,(slings, shackles, etc.)
Structural steel capacity(lifted object, lifting points, spreader bars, etc.)
Part 2 Chapter 6Dynamic loads, subsea lifts (capacity checks as in Chapter 5 applying dynamic loads from Chapter 6)
DNV Marine Operations' Rules for Subsea Lift Operations Slide 92 December 2009
Capacity Checks – DAF for Lift in Air
Dynamic loads are accounted for by using a Dynamic Amplification Factor (DAF).
DAF in air may be caused by e.g. variation in hoisting speeds or motions of crane vessel and lifted object.
The given table is applicable for offshore lift in air in minor sea states, typically Hs < 2-2.5m.
DAF must be estimated separately for lifts in air at higher seastates and for subsea lifts !
Table 2.1 Pt.2 Ch.5 Sec.2.2.4.4
DNV Marine Operations' Rules for Subsea Lift Operations Slide 102 December 2009
Capacity Checks - Crane Capacity
The dynamic hook load, DHL, is given by:
DHL = DAF*(W+Wrig) + F(SPL)
ref. Pt.2 Ch.5 Sec.2.4.2.1
W is the weight of the structure, including a weight inaccuracy factor
The DHL should be checked against available crane capacity
The crane capacity decrease when the lifting radius increase.
DNV Marine Operations' Rules for Subsea Lift Operations Slide 112 December 2009
Capacity Checks - Sling Loads
The maximum dynamic sling load, Fsling, can be calculated by:
Fsling = DHL·SKL·kCoG·DW / sin φ
ref. Pt.2 Ch.5 Sec.2.4.2.3-6
where:
SKL = Skew load factor → extra loading caused by equipment and fabrication tolerances.
kCoG = CoG factor → inaccuracies in estimated position of centre of gravity.
DW = vertical weight distribution → e.g. DWA = (8/15)·(7/13) in sling A.
φ = sling angle from the horizontal plane.
Example :
DNV Marine Operations' Rules for Subsea Lift Operations Slide 122 December 2009
Capacity Checks - Slings and Shackles
The sling capacity ”Minimum breaking load”, MBL, is checked by:
The safety factor is minimum γsf ≥ 3.0. (Pt.2 Ch.5 Sec.3.1.2)
sf
slingsling γ
MBLF <
”Safe working load”, SWL, and ” MBL, of the shackle are checked by :
a) Fsling < SWL· DAF
and b) Fsling < MBL / 3.3
Both criteria shall be fulfilled (Pt.2 Ch.5 Sec.3.2.1.2)
DNV Marine Operations' Rules for Subsea Lift Operations Slide 132 December 2009
Capacity Checks – Structural SteelOther lifting equipment:A consequence factor of γC = 1.3should be applied on lifting yokes, spreader bars, plateshackles, etc.
Lifting points:
The load factor γf = 1.3, is increased by a consequence factor, γC = 1.3, so that total design faktor, γdesign , becomes:
γdesign = γc· γf = 1.3 · 1.3 = 1.7
The design load acting on the lift point becomes:
Fdesign = γdesign· Fsling = 1.7· Fsling
Structural strength of Lifted Object:
The following consequence factors should be applied :
A lateral load of minimum 3% of the design load shall be included. This load acts in the shackle bow !(ref. Pt.2.Ch.5 Sec.2.4.3.4)
Table 4.1 Pt.2 Ch.5 Sec.4.1.2
DNV Marine Operations' Rules for Subsea Lift Operations Slide 142 December 2009
Content
Brief overview of relevant DNV publications
DNV Rules for Marine Operations, 1996, Lifting – Capacity Checks
New Simplified Method for calculation of hydrodynamic forces
CFD Analyses – Test Cases
DNV Marine Operations' Rules for Subsea Lift Operations Slide 152 December 2009
New Simplified Method - DNV-RP-H103
A new Recommended Practice; ”DNV-RP-H103Modelling and Analysis of Marine Operations”was issued april 2009.
A new Simplified Method for calculating hydrodynamic forces on objects lifted through wave zone is included in chapter 4.
This new Simplified Method supersedes the calculation guidelines in DNV Rules for Marine Operations, 1996, Pt.2 Ch.6.
DNV Marine Operations' Rules for Subsea Lift Operations Slide 162 December 2009
New Simplified Method - Assumptions
The Simplified Method is based upon the following main assumptions:
the horizontal extent of the lifted object is small compared to the wave length
the vertical motion of the object is equal the vertical crane tip motion
vertical motion of object and water dominates → other motions can be disregarded
The intention of the Simplified Method is to give simple conservative estimates of the forces acting on the object.
DNV Marine Operations' Rules for Subsea Lift Operations Slide 172 December 2009
New Simplified Method - AssumptionsTime-domain analysis:Includes loads and motion responses on both installation vessel and lifted object.
Lifted object modelledapplying correct geometry (not just a point in space)simulation valid for all wave lengths.
Cranewire, lifting slings and tugger lines are included motion response of the lifted object is computed resonance effects are covered in analysis.
Statistical analysis of responses in irregular sea states included.
Coupling effects included (crane tip motions may be influenced by lifted structure).
Non-linear response, as e.g. snap loads in lifting slings, can be computed.
Visualization of lift.
DNV Marine Operations' Rules for Subsea Lift Operations Slide 182 December 2009
New Simplified Method – Crane Tip Motions
The Simplified Method is unapplicable if the crane tip oscillation period or the wave period is close to the resonance period, Tn , of the hoisting system
KAM
Tn332
+= π
Heave, pitch and roll RAOs for the vessel should be combined with crane tip position to find the vertical motion of the crane tip
If operation reference period is within 30 minutes, the most probable largest responses may be taken as 1.80 times the significant responses
If the vessel heading is not fixed, vessel response should be analysed for wave directions at least ±15° off the applied vessel heading
DNV Marine Operations' Rules for Subsea Lift Operations Slide 192 December 2009
New Simplified Method – Wave PeriodsThere are two alternative approaches:
139.8 ≤≤⋅ zTg
Hs
A lower limit of Hmax=1.8·Hs=λ/7 with wavelength λ=g·Tz
2/2π is here used.
Alt-1) Wave periods are included:
Analyses should cover the following zero-crossing wave period range:
gH
zTS
⋅≥ 6.10A lower limit of Hmax=1.8·Hs=λ/10 with wavelength λ=g·Tz
2/2π is here used.
Alt-2) Wave periods are disregarded:
Operation procedures should in this case reflect that the calculations are only valid for waves longer than:
DNV Marine Operations' Rules for Subsea Lift Operations Slide 202 December 2009
New Simplified Method – Wave Kinematics
Alt-1) Wave periods are included:The wave amplitude, wave particle velocity and acceleration can be taken as:
Sa H⋅= 9.0ζ
gT
zaw
z
d
eT
v2
242
ππ
ζ−
⋅⎟⎟⎠
⎞⎜⎜⎝
⎛⋅=
gT
zaw
z
d
eT
a2
242
2π
πζ−
⋅⎟⎟⎠
⎞⎜⎜⎝
⎛⋅=
sHd35.0
v esHg30.0w
−⋅= π
sHd35.0
a eg10.0w
−⋅= π
Alt-2) Wave periods are disregarded:The wave particle velocity and acceleration can be taken as:
d : distance from water plane to CoG of submerged part of object
DNV Marine Operations' Rules for Subsea Lift Operations Slide 212 December 2009
New Simplified Method – Hydrodynamic Forces
Slamming impact force
Slamming forces are short-term impulse forces that acts when the structure hits the water surface.
AS is the relevant slamming area on the exposed structure part. Cs is slamming coeff.
The slamming velocity, vs, is :
22wctcs vvvv ++=
vc = lowering speedvct = vertical crane tip velocityvw = vertical water particle velocity
at water surface
gVF ⋅⋅= δρρ
Varying buoyancy force
Varying buoyancy, Fρ , is the change in buoyancy due to the water surface elevation.
δV is the change in volume of displaced water from still water surface to wave crest or wave trough.
22~ctawAV ηζδ +⋅=
gVF ⋅⋅= δρρ
ζa = wave amplitudeηct = crane tip motion amplitudeÃw = mean water line area in the
wave surface zone
DNV Marine Operations' Rules for Subsea Lift Operations Slide 222 December 2009
New Simplified Method – Hydrodynamic Forces
Drag forceDrag forces are flow resistance on submerged part of the structure. The drag forces are related to relative velocity between object and water particles.
The drag coefficient, CD, in oscillatory flow for complex subsea structures may typically be CD ≥ 2.5.
Relative velocity are found by :
22wctcr vvvv ++=
vc = lowering/hoisting speedvct = vertical crane tip velocityvw = vertical water particle velocity
at water depth , dAp = horizontal projected area
Mass force
“Mass force” is here a combination of inertia force, Froude-Kriloff force and diffraction force.
Crane tip acceleration and water particle acceleration are assumed statistically independent.
( )[ ] ( )[ ]2332
33 wctM aAVaAMF ⋅++⋅+= ρ
M = mass of object in airA33 = heave added mass of objectact = vertical crane tip accelerationV = volume of displaced water relative to
the still water levelaw = vertical water particle acceleration
at water depth, d
DNV Marine Operations' Rules for Subsea Lift Operations Slide 232 December 2009
New Simplified Method – Hydrodynamic Force
The hydrodynamic force is a time dependent function of slamming impact force, varying buoyancy, hydrodynamic mass forces and drag forces. In the Simplified Method the forces may be combined as follows:
22slamhyd )FF()FF(F MD ρ−++=
The structure may be divided into main items and surfaces contributing to the hydrodynamic force
Water particle velocity and acceleration are related to the vertical centre of gravity for each main item. Mass and drag forces contributions are then summarized :
∑=i
iMM FF ∑=i
iDD FF
FMi and FDi are the individual force contributions from each main item
DNV Marine Operations' Rules for Subsea Lift Operations Slide 242 December 2009
New Simplified Method – Load Cases Example
Load Case 1
Still water level beneath top of ventilated buckets
Slamming impact force, Fslam, acts on top of buckets.
Varying buoyancy force, Fρ , drag force, FDand mass force, FM are negligible.
The static and hydrodynamic force should be calculated for different stages. Relevant load cases for deployment of a protection structure could be:
Load Case 2
Still water level above top of buckets
Slamming impact force, Fslam, is zero
Varying buoyancy, Fρ , drag force, FD and mass force, FM, are calculated. Velocity and acceleration are related to CoG of submerged part of structure.
DNV Marine Operations' Rules for Subsea Lift Operations Slide 252 December 2009
New Simplified Method – Load Cases Example
Load Case 3Still water level beneath roof cover.
Slamming impact force, Fslam, acts on the roof cover.
Varying buoyancy, Fρ , drag force, FD and mass force, FM are calculated on the rest of the structure. Drag- and mass forces acts mainly on the buckets and is related to a depth, d, down to CoG of submerged part of the structure.
Load Case 4
Still water level above roof cover.
Slamming impact force, Fslam, and varying buoyancy, Fρ, is zero.
Drag force, FD and mass force, FM are calculated individually. The total mass and drag force is the sum of the individual load components, e.g. : FD= FDroof + FDlegs+ FDbuckets applying correct CoGs
DNV Marine Operations' Rules for Subsea Lift Operations Slide 262 December 2009
New Simplified Method – Load Cases Example
DNV Marine Operations' Rules for Subsea Lift Operations Slide 272 December 2009
New Simplified Method – Static Weight
In addition, the weight inaccuracy factor should be applied
DNV Marine Operations' Rules for Subsea Lift Operations Slide 282 December 2009
New Simplified Method - DAF
Capacity Checks
The capacities of crane, lifting equipment and lifted object are checked as for lift in air. The following relation should be applied:
where
Mg : weight of object in air [N]
Ftotal : is the characteristic total force on the (partly or fully) submerged object. Taken as the largest of;
Ftotal = Fstatic-max + Fhyd or Ftotal = Fstatic-max + Fsnap
Fstatic-max is the maximum static weight of the submerged objectincluding flooding and weight inaccuracy factor
Fhyd is the hydrodynamic force
Fsnap is the snap load (normally to be avoided)
MgFDAF total=
DNV Marine Operations' Rules for Subsea Lift Operations Slide 292 December 2009
New Simplified Method – Slack SlingsThe Slack Sling Criterion.
Snap forces shall as far as possible be avoided. Weather crietria should be adjusted to ensure this.
The following criterion should be fulfilled in order to ensure that snap loads are avoided:
minstatichyd F9.0F −⋅≤
Fstatic-min = weight before flooding, including a weight reduction implied by the weight inaccuracy factor.
DNV Marine Operations' Rules for Subsea Lift Operations Slide 302 December 2009
New Simplified Method – Added Mass
Hydrodynamic added mass for flat plates
ba4
76.0A 233 ⋅⋅⋅⋅=
πρ
Example:
Flat plate where length, b, above breadth, a, is b/a = 2.0 :
DNV Marine Operations' Rules for Subsea Lift Operations Slide 312 December 2009
New Simplified Method – Added MassAdded Mass Increase due to Body Height
The following simplified approximation of the added mass in heave for a three-dimensional body with vertical sides may be applied :
o332
233 A
)1(2
11A ⋅⎥⎥⎥
⎦
⎤
⎢⎢⎢
⎣
⎡
+
−+≈
λ
λ
p
p
Ah
A
+=λ
Added Mass Increase due to Body Height
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
0 0.5 1 1.5 2 2.5ln [ 1+ (h/sqrt(A)) ]
A33
/A33
o
1+SQRT((1-lambda^2)/(2*(1+lambda^2)))
and
where
A33o = added mass for a flat plate with a shape equal to the horizontal projected area of the object
h = height of the object
Ap = horizontal projected area of the object
DNV Marine Operations' Rules for Subsea Lift Operations Slide 322 December 2009
New Simplified Method – Added Mass
Added Mass from Partly Enclosed Volume
A volume of water partly enlosed within large plated surfaces will also contribute to the added mass, e.g.:
The volume of water inside suction anchors or foundation buckets.
The volume of water between large plated mudmat surfaces and roof structures.
DNV Marine Operations' Rules for Subsea Lift Operations Slide 332 December 2009
New Simplified Method – Added Mass
Added Mass Reduction due to Perforation
.
Effect of perforation on added mass
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 10 20 30 40 50Perforation
Add
ed M
ass
Red
uctio
n Fa
ctor
e^-P/28BucketKC0.1-H4D-NiMoBucketKC0.6-H4D-NiMoBucketKC1.2-H4D-NiMoBucketKC0.5-H0.5D-NiMoBucketKC1.5-H0.5D-NiMoBucketKC2.5-H0.5D-NiMoBucketKC3.5-H0.5D-NiMoPLET-KC1-4Roof-A0.5-2.5+Hatch20-KCp0.5-1.8Hatch18-KCp0.3-0.8BucketKC0.1BucketKC0.6BucketKC1.2RoofKCp0.1-0.27RoofKCp0.1-0.37DNV-CurveMudmat CFD
0.1AA
S33
33 =
[ ]34/)5p(cos3.07.0AA
S33
33 −+= π
28p10
S33
33 eAA
−
=
if p< 5
if 5 < p < 34
if 34 < p < 50
Recommended reduction:
A33S = added mass for a non-perforated structure.
No reduction applied in added mass when perforation is small. A significant drop in the added mass for larger perforation rates. Reduction factor applicable for p<50.
DNV Marine Operations' Rules for Subsea Lift Operations Slide 342 December 2009
New Simplified Method – Example CaseExample: Submerged Foundation Bucket
kg218670.2342A 3
o33 =⋅⋅⋅⋅= ππ
ρ
( )
s332
2
2s33
o332
2'
s33
2
2
3o33
A840.2
4.0100P
6154625.375.129496A
29496A78.012
78.011A
78.00.21
0.2
218670.2342A
ofreduction No :n Perforatio
kg : volumeinside Incl.
kg : increaseHeight
:factor Height
kg : plateFlat
⇒<=⋅
⋅⋅=
=⋅⋅⋅+=
=⋅⎥⎥⎥
⎦
⎤
⎢⎢⎢
⎣
⎡
+⋅
−+=
=⋅+
⋅=
=⋅⋅⋅⋅=
π
π
ρπ
π
πλ
ππ
ρ
Added mass for a thin circular disc:
Added mass increase due to body height:
( ) kg33803A50.012
50.011A50.00.25.3
0.2o332
2'
s332
2=⋅
⎥⎥
⎦
⎤
⎢⎢
⎣
⎡
+⋅
−+=⇒=
⋅+
⋅=
π
πλ
Added mass including partly enclosed volume:
kg6585425.375.133803A 2s33 =⋅⋅⋅+= ρπ
Added mass reduction due to perforation:
s332
2A4
0.2
4.0100P of reduction NoSMALL ⇒≈=⋅
⋅⋅=π
π
Bucket Dimensions:Height = 3.5mDiameter = 4.0mPlate thickness = 0.25mVentilation hole diameter = 0.8m
DNV Marine Operations' Rules for Subsea Lift Operations Slide 352 December 2009
New Simplified Method – Example CaseExample: Submerged Foundation Bucket
( ) N5222rPDD 1037.048.125.00.296.00.25.0vAC5.0F ⋅=+⋅⋅⋅⋅=⋅⋅⋅⋅= πρρ
( )[ ] ( )[ ] ( ) N52w33
2ct33M 1033.169.16585413031aAVaAMF ⋅=⋅+=⋅++⋅+= ρ
2m/s and m/s 69.1v5.5
2a48.1e5.5
275.1v ww81.95.5)25.11(4
w2
2
=⋅⎟⎠
⎞⎜⎝
⎛==⋅⎟
⎠
⎞⎜⎝
⎛⋅= ⋅
+⋅− πππ
Regular Wave Data:Wave Height, Hmax = 3.5mWave Period, Tz = 5.5s
Water particle velocity and acceleration:
Drag force:
Mass force:
Hydrodynamic force:
1.0m
1.25mCoG
Other DataBuoyancy, ρV = 13031kgNegligible crane tip motionsLowering speed = 0.25m/s
( ) ( ) ( ) ( ) N525252M
2slamDhyd 104.11033.11037.0FFFFF ⋅=⋅+⋅=−++= ρ
DNV Marine Operations' Rules for Subsea Lift Operations Slide 362 December 2009
Content
Brief overview of relevant DNV publications
DNV Rules for Marine Operations, 1996, Lifting – Capacity Checks
New Simplified Method for calculation of hydrodynamic forces
CFD Analyses – Test Cases
DNV Marine Operations' Rules for Subsea Lift Operations Slide 372 December 2009
CFD Analyses – Test CasesComputational Fluid Dynamics (CFD) is a numerical method for computing fluid flows based on the Navier Stokes equations.
The CFD-program COMFLOW is able to study complex free surface problems applying the Volume of Fluid method.
The fluid domain consists of a cartesian grid where the fluid cells are defined either as boundary cells, empty cells, surface cells or fluid cells.
Pressure forces are calculated as the integral of the pressure along the boundary of an object.
Motion responses are not included, but the object can be given a prescribed motion.
Structure
Fluid domainInflow boundary,
Airy or Stokes5th wave
Numerical beach at aft end
DNV Marine Operations' Rules for Subsea Lift Operations Slide 382 December 2009
CFD Analyses – Protection Structure
CFD analysis:Regular Stokes 5th wave: H=3.5m T=5.5s
Domain 95x30x37m 4.4 million fluid cells
Minimum grid size 0.18m near object, stretched elsewhere
8.5x8.5m solid roof and 10x10xØ1.0m top frame
Ø1.0m legs, height 8m and hollow
3.5xØ4.0m buckets at x,y=±8.5m
ventilation holes Ø0.8m
Wall thickness 0.25m
half model
60s simulation time
DNV Marine Operations' Rules for Subsea Lift Operations Slide 392 December 2009
CFD Analyses – Protection Structure
Highest upwards hydrodynamic force when bucket is fullysubmerged occurs when the object is located in a wave trough.
Fhyd ≈ 1.1·105N
Buoyancy, ρVg
DNV Marine Operations' Rules for Subsea Lift Operations Slide 402 December 2009
CFD Analyses – Protection Structure
Half wave length is ~23.5m and the distance between buckets is 17m.
Hence, there is a large phase difference between the hydrodynamic forces on forward and aft bucket.
DNV Marine Operations' Rules for Subsea Lift Operations Slide 412 December 2009
CFD Analyses – Protection Structure
ComFlow results show very high slamming loads on bucket top and the solid roof structure.
These values are most likely too high as compressibility and formation/ collapse of air cushions are not included in the simulation.
Slamming load on aft bucket
Slamming load on roof structure
DNV Marine Operations' Rules for Subsea Lift Operations Slide 422 December 2009
CFD Analyses – Spool Piece
CFD analysis:
Regular Stokes 5th wave: H=3.5m T=5.5s
The wave length is ~equal spool length
Domain 130x30x31m 2.2 million fluid cells
Minimum grid size 0.25m near object, stretched elsewhere
50m long closed pipe with diameter Ø1.0m
Two simulations; 1) half submerged 2) 2m below surface
22s simulation time
computer time 13-18hrs
DNV Marine Operations' Rules for Subsea Lift Operations Slide 432 December 2009
CFD Analyses – Spool Piece Half Submerged
N N 552mvertical
522
waddm 104.1106.081.92540.1FVgF106.0
25.3
5.522254
0.10.2a)mV(F ⋅=⋅−⋅⋅⋅⋅=+=⇒⋅−=⋅⎟⎠
⎞⎜⎝
⎛⋅⋅⋅⋅⋅⋅−≈⋅+= πρρπ
ππρρ
The wave length is equal the spool piece length
Vertical force on aft half at time t=5s :
Half of the spool piece is always out of the water.
The total force on each half vary between zero and buoyancy+Fhyd
DNV Marine Operations' Rules for Subsea Lift Operations Slide 442 December 2009
CFD Analyses – Spool Piece 2m Submerged
Total vertical force
Vertical force, fwd half
Vertical force, aft half
N522
waddm 1045.025.3
5.5277.02254
0.110250.2a)mV(F ⋅=⋅⎟⎠
⎞⎜⎝
⎛⋅⋅⋅⋅⋅⋅≈⋅+=π
ππρBrief approximation of mass force:
Dynamic force amplitude (mainly mass forces) ≈ 0.55·105 kN
DNV Marine Operations' Rules for Subsea Lift Operations Slide 452 December 2009
And then – One Final Comment:
When planning Marine Operations, remember to take into account ....
DNV Marine Operations' Rules for Subsea Lift Operations Slide 462 December 2009
Easy Handling ..
DNV Marine Operations' Rules for Subsea Lift Operations Slide 472 December 2009
.. and Survey Access !!
DNV Marine Operations' Rules for Subsea Lift Operations Slide 482 December 2009