2 VLCC example
Clasification Society 2024 - Version 9.40
Statutory Documents - IMO Publications and Documents - Resolutions - Marine Environment Protection Committee - Resolution MEPC.122(52) - Explanatory Notes on Matters Related to the Accidental Oil Outflow Performance under Regulation 23 of the Revised MARPOL Annex I - (Adopted on 15 October 2004)Amended by Resolution MEPC.146(54) - Annex - Explanatory Notes on Matters Related to the Accidental Oil Outflow Performance under Regulation 23 of the Revised MARPOL Annex I - Part C - Examples - 2 VLCC example

2 VLCC example

2.1 General Data

L : 321.10 m (length as defined in regulation 1.19)
ds : 21.20 m (moulded load line draught)
dB : 8.865 m (moulded draught corresponding to 30% of the depth Ds)
Bs : 60.00 m (the greatest moulded breadth at the deepest load line ds)
BB : 60.00 m (the greatest moulded breadth at the waterline dB)
Ds : 29.55 m (moulded depth)
DW : 300,000 ton (deadweight as defined in regulation 1.23)
C : 333,200 m3 (total volume of cargo oil at 98% tank filling)

Tank Arrangement

Side Damage (No. 1 COT (Fr.96-Fr.106))

Side Damage (Nos. 2,3,4 COT (Fr.66-Fr.96))

Side Damage (No.5 COT & SLOP (Fr.56-Fr.66))

Bottom Damage (No.1 COT (Fr.96-Fr.106))

Bottom Damage (Nos.2,3,4 COT (Fr.66-Fr.96))

Bottom Damage (Nos.5 & SLOP (Fr.56-Fr.66))

2.2 Side damage outflow calculation

  2.2.1 Each tank capacity and compartment boundaries Xa, Xf, Zl, Zu and y are as follows:

Cargo Tank 98% Vol (m3) Xa (m) Xf (m) Zl (m) Zu (m) y (m)
No.1 C.O.T. (P) 14,372 252.000 302.000 3.000 29.550 25.600
No.1 C.O.T. (C) 28,890 252.000 302.000 3.000 29.550 7.600
No.1 C.O.T. (S) 14,372 252.000 302.000 3.000 29.550 2.750
No.2 C.O.T. (P) 19,081 202.000 252.000 3.000 29.550 41.700
No.2 C.O.T. (C) 31,821 202.000 252.000 3.000 29.550 18.300
No.2 C.O.T. (S) 19,081 202.000 252.000 3.000 29.550 3.500
No.3 C.O.T. (P) 19,081 152.000 202.000 3.000 29.550 41.700
No.3 C.O.T. (C) 31,821 152.000 202.000 3.000 29.550 18.300
No.3 C.O.T. (S) 19,081 152.000 202.000 3.000 29.550 3.500
No.4 C.O.T. (P) 19,081 102.000 152.000 3.000 29.550 41.700
No.4 C.O.T. (C) 31,821 102.000 152.000 3.000 29.550 18.300
No.4 C.O.T. (S) 19,081 102.000 152.000 3.000 29.550 3.500
No.5 C.O.T. (P) 12,681 67.000 102.000 3.000 29.550 38.100
No.5 C.O.T. (C) 31,821 52.000 102.000 3.000 29.550 7.200
No.5 C.O.T. (S) 12,681 67.000 102.000 3.000 29.550 3.500
Slop tank (P) 4,219 52.000 67.000 3.000 29.550 30.600
Slop tank (S) 4,219 52.000 67.000 3.000 29.550 3.200

  2.2.2 The probability Ps of breaching a compartment from side damage is calculated in accordance with paragraph 8.1 of regulation 23:

Ps = PSL PSV PST
Where:
PSL = 1 - PSf - PSa
PSV = 1 - PSf - PSa
PST = 1 - PSy
(2.2.2)

From the ratios Xa/L, Xf/L, Z/Bs, Zl/Ds, Zu/Ds, Yl/Ds, and y, the probabilities associated with these subdivision locations are interpolated from the table of probabilities for side damage provided in Paragraph 8.3 of regulation 23.

Cargo Tank Xa/L Psa Xf/L Psf Zl/Ds Psl Zu/Ds Psu y/Bs Psy
No.1 C.O.T. (P) 0.7848 0.7518 0.9405 0.0315 0.1015 0.0011 1.0000 0.0000 0.4267 1.0000
No.1 C.O.T. (C) 0.7848 0.7518 0.9405 0.0315 0.1015 0.0011 1.0000 0.0000 0.1267 0.9029
No.1 C.O.T. (S) 0.7848 0.7518 0.9405 0.0315 0.1015 0.0011 1.0000 0.0000 0.0458 0.7247
No.2 C.O.T. (P) 0.6291 0.5961 0.7848 0.1822 0.1015 0.0011 1.0000 0.0000 0.6950 1.0000
No.2 C.O.T. (C) 0.6291 0.5961 0.7848 0.1822 0.1015 0.0011 1.0000 0.0000 0.3050 1.0000
No.2 C.O.T. (S) 0.6291 0.5961 0.7848 0.1822 0.1015 0.0011 1.0000 0.0000 0.0583 0.7876
No.3 C.O.T. (P) 0.4734 0.4404 0.6291 0.3379 0.1015 0.0011 1.0000 0.0000 0.6950 1.0000
No.3 C.O.T. (C) 0.4734 0.4404 0.6291 0.3379 0.1015 0.0011 1.0000 0.0000 0.3050 1.0000
No.3 C.O.T. (S) 0.4734 0.4404 0.6291 0.3379 0.1015 0.0011 1.0000 0.0000 0.0583 0.7876
No.4 C.O.T. (P) 0.3177 0.2847 0.4734 0.4936 0.1015 0.0011 1.0000 0.0000 0.6950 1.0000
No.4 C.O.T. (C) 0.3177 0.2847 0.4734 0.4936 0.1015 0.0011 1.0000 0.0000 0.3050 1.0000
No.4 C.O.T. (S) 0.3177 0.2847 0.4734 0.4936 0.1015 0.0011 1.0000 0.0000 0.0583 0.7876
No.5 C.O.T. (P) 0.2087 0.1757 0.3177 0.6493 0.1015 0.0011 1.0000 0.0000 0.6350 1.0000
No.5 C.O.T. (C) 0.1619 0.1289 0.3177 0.6493 0.1015 0.0011 1.0000 0.0000 0.1200 0.8992
No.5 C.O.T. (S) 0.2087 0.1757 0.3177 0.6493 0.1015 0.0011 1.0000 0.0000 0.0583 0.7876
Slop tank (P) 0.1619 0.1289 0.2087 0.7583 0.1015 0.0011 1.0000 0.0000 0.5100 1.0000
Slop tank (S) 0.1619 0.1289 0.2087 0.7583 0.1015 0.0011 1.0000 0.0000 0.0533 0.7652
Cargo Tank PSL PSV PST PS
No.1 C.O.T. (P) 0.2167 0.9989 0.0000 0.0000
No.1 C.O.T. (C) 0.2167 0.9989 0.0971 0.0210
No.1 C.O.T. (S) 0.2167 0.9989 0.2753 0.0596
No.2 C.O.T. (P) 0.2217 0.9989 0.0000 0.0000
No.2 C.O.T. (C) 0.2217 0.9989 0.0000 0.0000
No.2 C.O.T. (S) 0.2217 0.9989 0.2124 0.0470
No.3 C.O.T. (P) 0.2217 0.9989 0.0000 0.0000
No.3 C.O.T. (C) 0.2217 0.9989 0.0000 0.0000
No.3 C.O.T. (S) 0.2217 0.9989 0.2124 0.0470
No.4 C.O.T. (P) 0.2217 0.9989 0.0000 0.0000
No.4 C.O.T. (C) 0.2217 0.9989 0.0000 0.0000
No.4 C.O.T. (S) 0.2217 0.9989 0.2124 0.0470
No.5 C.O.T. (P) 0.1750 0.9989 0.0000 0.0000
No.5 C.O.T. (C) 0.2217 0.9989 0.1008 0.0223
No.5 C.O.T. (S) 0.1750 0.9989 0.2124 0.0371
Slop tank (P) 0.1127 0.9989 0.0000 0.0000
Slop tank (S) 0.1127 0.9989 0.2348 0.0264

  2.2.3 The mean outflow for side damage OMS is calculated in accordance with paragraph 6 of regulation 23.

(2.2.3-1)

C3 = 0.77 for ships having two longitudinal bulkheads inside the cargo tanks extending over the length of the cargo block, and 1.0 for all other ships. In this case, there are two longitudinal bulkheads within the cargo tanks, and C3 = 0.77.

Cargo Tank OS(i) (PS)(OS(i))
No.1 C.O.T. (P) 14,371.7 0.0
No.1 C.O.T. (C) 28,890.4 606.9
No.1 C.O.T. (S) 14,371.7 856.3
No.2 C.O.T. (P) 19,080.6 0.0
No.2 C.O.T. (C) 31,820.6 0.0
No.2 C.O.T. (S) 19,080.6 897.7
No.3 C.O.T. (P) 19,080.6 0.0
No.3 C.O.T. (C) 31,820.6 0.0
No.3 C.O.T. (S) 19,080.6 897.7
No.4 C.O.T. (P) 19,080.6 0.0
No.4 C.O.T. (C) 31,820.6 0.0
No.4 C.O.T. (S) 19,080.6 897.7
No.5 C.O.T. (P) 12,681.2 0.0
No.5 C.O.T. (C) 31,820.6 710.4
No.5 C.O.T. (S) 12,681.2 470.9
Slop tank (P) 4,218.9 0.0
Slop tank (S) 4,218.9 111.5
(2.2.3-2)
(2.2.3-3)

2.3 Bottom damage outflow calculation

  2.3.1 Compartment boundaries Xa, Xf, Yp, Ys and z are taken as follows:

Cargo Tank Xa (m) Xf (m) Yp (m) Ys (m) Z (m)
No.1 C.O.T. (P) 252.000 302.000 56.500 39.000 3.000
No.1 C.O.T. (C) 252.000 302.000 41.700 18.300 3.000
No.1 C.O.T. (S) 252.000 302.000 21.000 3.500 3.000
No.2 C.O.T. (P) 202.000 252.000 56.500 41.700 3.000
No.2 C.O.T. (C) 202.000 252.000 41.700 18.300 3.000
No.2 C.O.T. (S) 202.000 252.000 18.300 3.500 3.000
No.3 C.O.T. (P) 152.000 202.000 56.500 41.700 3.000
No.3 C.O.T. (C) 152.000 202.000 41.700 18.300 3.000
No.3 C.O.T. (S) 152.000 202.000 18.300 3.500 3.000
No.4 C.O.T. (P) 102.000 152.000 56.500 41.700 3.000
No.4 C.O.T. (C) 102.000 152.000 41.700 18.300 3.000
No.4 C.O.T. (S) 102.000 152.000 18.300 3.500 3.000
No.5 C.O.T. (P) 67.000 102.000 56.500 41.700 3.000
No.5 C.O.T. (C) 52.000 102.000 41.700 18.300 3.000
No.5 C.O.T. (S) 67.000 102.000 18.300 3.500 3.000
Slop tank (P) 52.000 67.000 51.780 41.700 3.000
Slop tank (S) 52.000 67.000 18.300 8.220 3.000

  2.3.2 The probability PB of breaching a compartment from bottom damage is calculated in accordance with paragraph 9.1 of regulation 23.

PB = PBL PBT PBV
Where:
PBL = 1 - PBf - PBa
PBT = 1 - PBp - PBS
PBV = 1 - PBZ
(2.3.2)

  2.3.3 From the ratios Xa/L, Xf/L, Yp/BB, Ys/ BB, and z, the probabilities associated with these subdivision locations are interpolated from the table of probabilities for bottom damage provided in paragraph 9.3 of regulation 23.

Cargo Tank Xa/L PBa Xf/L PBf Yp/BB PBp Ys/BB PBs z/Ds PBZ
No.1 C.O.T. (P) 0.7848 0.3892 0.9405 0.0379 0.9417 0.0128 0.6500 0.4940 0.1015 0.7817
No.1 C.O.T. (C) 0.7848 0.3892 0.9405 0.0379 0.6950 0.1750 0.3050 0.1750 0.1015 0.7817
No.1 C.O.T. (S) 0.7848 0.3892 0.9405 0.0379 0.3500 0.4940 0.0583 0.0128 0.1015 0.7817
No.2 C.O.T. (P) 0.6291 0.2257 0.7848 0.2766 0.9417 0.0128 0.6950 0.5390 0.1015 0.7817
No.2 C.O.T. (C) 0.6291 0.2257 0.7848 0.2766 0.6950 0.1750 0.3050 0.1750 0.1015 0.7817
No.2 C.O.T. (S) 0.6291 0.2257 0.7848 0.2766 0.3050 0.5390 0.0583 0.0128 0.1015 0.7817
No.3 C.O.T. (P) 0.4734 0.1302 0.6291 0.5200 0.9417 0.0128 0.6950 0.5390 0.1015 0.7817
No.3 C.O.T. (C) 0.4734 0.1302 0.6291 0.5200 0.6950 0.1750 0.3050 0.1750 0.1015 0.7817
No.3 C.O.T. (S) 0.4734 0.1302 0.6291 0.5200 0.3050 0.5390 0.0583 0.0128 0.1015 0.7817
No.4 C.O.T. (P) 0.3177 0.0644 0.4734 0.7120 0.9417 0.0128 0.6950 0.5390 0.1015 0.7817
No.4 C.O.T. (C) 0.3177 0.0644 0.4734 0.7120 0.6950 0.1750 0.3050 0.1750 0.1015 0.7817
No.4 C.O.T. (S) 0.3177 0.0644 0.4734 0.7120 0.3050 0.5390 0.0583 0.0128 0.1015 0.7817
No.5 C.O.T. (P) 0.2087 0.0313 0.3177 0.8307 0.9417 0.0128 0.6950 0.5390 0.1015 0.7817
No.5 C.O.T. (C) 0.1619 0.0199 0.3177 0.8307 0.6950 0.1750 0.3050 0.1750 0.1015 0.7817
No.5 C.O.T. (S) 0.2087 0.0313 0.3177 0.8307 0.3050 0.5390 0.0583 0.0128 0.1015 0.7817
Slop tank (P) 0.1619 0.0199 0.2087 0.8898 0.8630 0.0549 0.6950 0.5390 0.1015 0.7817
Slop tank (S) 0.1619 0.0199 0.2087 0.8898 0.3050 0.5390 0.1370 0.0549 0.1015 0.7817
Cargo Tank PBL PBV PBT PB
No.1 C.O.T. (P) 0.5728 0.4932 0.2183 0.0617
No.1 C.O.T. (C) 0.5728 0.6500 0.2183 0.0813
No.1 C.O.T. (S) 0.5728 0.4932 0.2183 0.0617
No.2 C.O.T. (P) 0.4977 0.4482 0.2183 0.0617
No.2 C.O.T. (C) 0.4977 0.6500 0.2183 0.0706
No.2 C.O.T. (S) 0.4977 0.4482 0.2183 0.0487
No.3 C.O.T. (P) 0.3498 0.4482 0.2183 0.0342
No.3 C.O.T. (C) 0.3498 0.6500 0.2183 0.0496
No.3 C.O.T. (S) 0.3498 0.4482 0.2183 0.0342
No.4 C.O.T. (P) 0.2236 0.4482 0.2183 0.0219
No.4 C.O.T. (C) 0.2236 0.6500 0.2183 0.0317
No.4 C.O.T. (S) 0.2236 0.4482 0.2183 0.0219
No.5 C.O.T. (P) 0.1381 0.4482 0.2183 0.0135
No.5 C.O.T. (C) 0.1494 0.6500 0.2183 0.0212
No.5 C.O.T. (S) 0.1381 0.4482 0.2183 0.0135
Slop tank (P) 0.0903 0.4061 0.2183 0.0080
Slop tank (S) 0.0903 0.4061 0.2183 0.0080

  2.3.4 Per paragraph 7.3.2 of regulation 23, the cargo level after damage, measured in metres above Zl, is calculated as follows:

hc = {(ds + tc - Zl) ( ρs) - (1000 p) / g }/ ρn
Where:
ds = the load line draught = 21.20 m
tc = the tidal change = 0 m and -2.5 m
Zl = the height of the lowest point in the cargo tank above baseline = 3.0 m
ρs = density of seawater, to be taken as 1,025 kg/m3
p = inert gas overpressure = 5 kPa
g = acceleration of gravity = 9.81 m/s2
ρn = nominal density of cargo oil = 900 kg/m3
(2.3.4)

  2.3.5 For the condition with the tidal change tc equal to 0 m, the cargo level after damage hc is 20.153 m. The remaining volume for each cargo tank after damage, in m3, the oil outflow OB(i) are as follows:

Cargo Tank hc (m) Remain Vol. (m3) OB(i) (m3)
No.1 C.O.T. (P) 20.153 10,558 3813.7
No.1 C.O.T. (C) 20.153 21,267 7623.4
No.1 C.O.T. (S) 20.153 10,558 3813.7
No.2 C.O.T. (P) 20.153 14,163 4917.6
No.2 C.O.T. (C) 20.153 23,427 8393.6
No.2 C.O.T. (S) 20.153 14,163 4917.6
No.3 C.O.T. (P) 20.153 14,163 4917.6
No.3 C.O.T. (C) 20.153 23,427 8393.6
No.3 C.O.T. (S) 20.153 14,163 4917.6
No.4 C.O.T. (P) 20.153 14,163 4917.6
No.4 C.O.T. (C) 20.153 23,427 8393.6
No.4 C.O.T. (S) 20.153 14,163 4917.6
No.5 C.O.T. (P) 20.153 9,342 3339.2
No.5 C.O.T. (C) 20.153 23,427 8393.6
No.5 C.O.T. (S) 20.153 9,342 3339.2
Slop tank (P) 20.153 2,960 1258.9
Slop tank (S) 20.153 2,960 1258.9

For the condition with tidal change tc equal to -2.5m, the remaining volume for each cargo tank after damage, in m3, and the oil outflow OB(i) is as follows:

Cargo Tank hc (m) Remain Vol. (m3) OB(i) (m3)
No.1 C.O.T. (P) 17.307 8,974 5397.7
No.1 C.O.T. (C) 17.307 18,263 10627.4
No.1 C.O.T. (S) 17.307 8,974 5397.7
No.2 C.O.T. (P) 17.307 12,070 7010.6
No.2 C.O.T. (C) 17.307 20,119 11701.6
No.2 C.O.T. (S) 17.307 12,070 7010.6
No.3 C.O.T. (P) 17.307 12,070 7010.6
No.3 C.O.T. (C) 17.307 20,119 11701.6
No.3 C.O.T. (S) 17.307 12,070 7010.6
No.4 C.O.T. (P) 17.307 12,070 7010.6
No.4 C.O.T. (C) 17.307 20,119 11701.6
No.4 C.O.T. (S) 17.307 12,070 7010.6
No.5 C.O.T. (P) 17.307 7,926 4755.2
No.5 C.O.T. (C) 17.307 20,119 11701.6
No.5 C.O.T. (S) 17.307 7,926 4755.2
Slop tank (P) 17.307 2,436 1782.9
Slop tank (S) 17.307 2,436 1782.9

  2.3.6 In accordance with paragraphs 7.1 and 7.2 of regulation 23, the mean outflow from bottom damage is calculated as follows:

(2.3.6-1)
(2.3.6-2)

  2.3.7 It is recognized that a portion of the oil escaping from a cargo tank may be entrapped by a double bottom tank below, thereby preventing the oil from reaching the sea. In accordance with paragraph 7.4 of regulation 23, CDB(i) is to be taken as 0.6 when a cargo tank is bounded from below by a non-oil compartment.

Cargo Tank CDB(i) PB(i) PB(i)OB(i)CDB(i) (m3)
[tc=0 m]
PB(i)OB(i)CDB(i) (m3)
[tc=-2.5m]
No.1 C.O.T. (P) 0.6 0.0617 141.1 199.7
No.1 C.O.T. (C) 0.6 0.0813 371.8 518.3
No.1 C.O.T. (S) 0.6 0.0617 141.1 199.7
No.2 C.O.T. (P) 0.6 0.0487 143.7 204.8
No.2 C.O.T. (C) 0.6 0.0706 355.7 495.9
No.2 C.O.T. (S) 0.6 0.0487 143.7 204.8
No.3 C.O.T. (P) 0.6 0.0342 101.0 144.0
No.3 C.O.T. (C) 0.6 0.0496 250.0 348.6
No.3 C.O.T. (S) 0.6 0.0342 101.0 144.0
No.4 C.O.T. (P) 0.6 0.0219 64.6 92.0
No.4 C.O.T. (C) 0.6 0.0317 159.8 222.8
No.4 C.O.T. (S) 0.6 0.0219 64.6 92.0
No.5 C.O.T. (P) 0.6 0.0135 27.1 38.5
No.5 C.O.T. (C) 0.6 0.0212 106.8 148.9
No.5 C.O.T. (S) 0.6 0.0135 27.1 38.5
Slop tank (P) 0.6 0.0080 6.0 8.6
Slop tank (S) 0.6 0.0080 6.0 8.6
ΣPB(i) OB(i) CDB(i) 2,211 m3 3,110 m3

  2.3.8 In accordance with paragraph 5.2 of regulation 23, mean outflow values from the 0.0 m and -2.5 m tide conditions are combined in a 70%:30% ratio to obtain the bottom damage mean outflow:

(2.3.8)

2.4 Mean oil outflow parameter OM

  2.4.1 The non-dimensional mean oil outflow parameter OM is calculated as follows in accordance with paragraph 5.1 of regulation 23.

(2.4.1)

  2.4.2 For oil tanker of 5,000 metric tons deadweight and above, the required mean oil outflow parameter is calculated in accordance with paragraph 3.1 of regulation 23.

OM≤0.015 (for C ≤ 200,000 m3)
OM≤ 0.012 + (0.003/200,000)(400,000 - C) (for 200,000 m3 < C < 400,000 m3)
OM≤0.012 (for C ≥ 400,000 m3)

Since C is equal to 333,200 m3, the required mean oil outflow parameter OM is as follows.

  • Required OM ≤ 0.012 + (0.003/200,000)(400,000 - 333,200) = 0.0130

    Required OM, 0.0130 > actual OM, 0.0095

The vessel is therefore in compliance with the "Accidental oil outflow performance" regulation 23.


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