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1 Global Maritime Scotland Ltd Johnstone House, Rose Street, Aberdeen, AB10 1UD T +44 (0) F +44 (0) gm@globalmaritime.co.uk Web Marine, Offshore and Engineering Consultants TECHNICAL NOTE To Bluewater Energy Services Attn. Kees van Beveren addrs Kees.vanBeveren@bluewater.com cc cc jb@globalmaritime.co.uk From Jason Bell Pages 6 Date 25 Jun 2013 Subject Reference Haewene Brim Bollard Pull Calculations TN_24138_1 Introduction Global Maritime Scotland Ltd (GM) has been requested by Bluewater Energy Services (BES) to carry out a bollard pull calculation for the Haewene Brim FPSO. The scope of work and deliverables are detailed in proposal P13854 Ref[1]. The calculations are based on DNV Rules for Planning and Execution of Marine Operations Ref[2], DNV RP-H103 Ref[3] and DNV OS-C301 Ref[4]. BES has informed GM that the contracted tow tug is the BB Troll with bollard pull of 165 tonnes. Requirements As per Ref[2] the towing force requirement for open sea is to be sufficient to maintain zero speed under the environmental conditions shown in Table 1. Environmental Condition Wind Velocity (V w ) Head Current Velocity (V c ) Significant Wave Height (Hs) Value 20 m/s 1 m/s 5 m Table 1: Environmental Conditions Ref[2] also states that for coastal tows in narrow or shallow waters the bollard pull shall be sufficient to maintain a speed over ground of 2 knots under defined environmental conditions. The environmental conditions here will conservatively be taken as those stated in table 1. Environmental Force Calculations The three main environmental forces required for the bollard pull calculation are Wind, Current and Wave Drift forces. The equations for calculating these forces are detailed in Ref[3] and[4] and summarised as follows: These materials are the Work Product of Global Maritime, and no reliance on this work product is authorised by Global Maritime, and Global Maritime accepts no liability for any reliance by any person on the work product contained herein. Global Maritime Scotland Ltd Registered in England and Wales No Registered office: 44 Gutter Lane, Cheapside, London EC2V 6BR.

2 Wind Force The formula for the wind force is shown below: =. Where: Fw = Wind force [tonnes] Cs = Shape coefficient Ch = Height coefficient ρ = Density of air [t/m 3 ] V = Wind velocity [m/s] A = Projected area of all exposed surfaces [m 2 ] g = Gravity [m/s 2 ] Current Force The formula for calculating the current force is shown below: Where: Fc = Current force [tonnes] ρ = Density of water [t/m 3 ] C = Current force coefficient V = Current velocity [m/s] A = Wetted surface area of hull [m 2 ] g = Gravity [m/s 2 ] =. Wave Drift Force The formula for wave drift force is shown below: Where: Fwd = Wave drift force [tonnes] ρ = Density of water [t/m 3 ] R = Reflection coefficient B = Breadth of towed object Hs = Significant waveheight [m] = TN_24138_1 Page 2 of 6

3 Projected Areas Wind and current loading areas have been measured using a forward profile drawing of the vessel, supplied by BES, at a tow draught of 7m. A projected wind and current area drawing is shown in Appendix B. Bollard Pull The required bollard pull to maintain zero speed under the environmental conditions stated in Table 1 is calculated as 117 tonnes. This includes a tug efficiency factor of 0.75 as recommended for offshore tows in Ref[2]. An additional check with the vessel towed at a speed of 2 knots has been performed. Conservatively the environmental conditions stated in Table 1 are also adopted here. The required bollard pull here is calculated at 149 tonnes. The bollard pull calculation spreadsheet is included in Appendix A. Conclusion The calculations show that the BB Troll has sufficient bollard pull capacity to satisfy the DNV code requirements for the Haewene Brim tow operation. TN_24138_1 Page 3 of 6

4 References [1] GM Proposal P13854 Haewene Brim Bollard Pull Calculations, June [2] DNV Rules for Planning and Execution of Marine Operations, 1996 Revision, January [3] DNV RP-H103 Modelling and Analysis of Marine Operations, April [4] DNV-OS-C301 Stability and Watertight Integrity, DNV, April TN_24138_1 Page 4 of 6

5 APPENDIX A Bollard Pull Calculation Spreadsheet TN_24138_1 Page 5 of 6

6 BOLLARD PULL CALCULATIONS VESSEL NAME: Haewene Brim BEAM m DRAUGHT 7.00 m LENGTH m DEPTH m ϱair tonnes/m 3 ϱwater tonnes/m 3 g (acceleration) 9.81 m/s 2 Wave Drift Coefficients From DNV RP-H103 April 2011 Table 7-1 Typical reflection Coeffircients "R" 1) Wave Drift Force Square Face 1.00 Condeep Face 0.97 R 0.45 Vertical Cylinder 0.88 Hs 5.00 DNV Marine Ops Pt.2 Ch. 2 Sect Barge with Raked Bow 0.67 Barge with Spoon Bow 0.55 WAVE DRIFT FORCE = tonnes DNV RP-H103 Sect Ship Bow 0.45 Wind Coefficients 2) Wind Force From DNV OS-C301 April 2011 Table B1 Values Wind Force Shape Coefficient (Cs) WIND SPEED m/s Shape Cs Spherical AREA (Hull MSL to 15.3m) m^2 Cylindrical Cs 1.00 Large flat surface (hull, deckhouse, smooth under-deck areas) Ch 1.00 Drilling derrick Wires Hull and Main Decks (15.3 to 30.5m) m^2 Exposed beams and girders under deck Cs 1.00 Small parts Ch 1.10 Isolated shapes (crane, beam, etc.) Clustered deckhouses or similar structures Deckhouse (30.5 to 46m) m^2 Cs 1.10 Table B2 Values Wind Force Height Coefficient (Ch) Ch 1.20 Height above sea level (metres) Ch Deckhouse surr. Structure (30.5 to 46m) m^ Cs Ch Equipment on Deckhouse (30.5 to 46m) m^ Cs Ch Equipment on Deckhouse (46 to 61m) m^ Cs Ch Flare Towers (30.5 to 46m) m^ Cs Ch Flare Towers (46 to 61m) m^ Cs 1.25 Above Ch 1.30 Current Coefficients Flare Tower (61 to 76m) m^2 Hull Type Cd Cs 1.25 SPOON BOW / FAIRED STERN 0.20 Ch 1.37 SPOON BOW / RAKED STERN 0.35 RKD BOW / RKD/SQU STERN 0.50 Exhaust Towers (30.5 to 46m) m^2 Cs 1.00 Ch 1.20 WIND FORCE = tonnes DNV-OS-C301Section B 100 3) Current/Speed Force VESSEL/ CURRENT SPEED 1.00 m/s Cd 0.50 BOW AREA m^2 CURRENT FORCE = 7.65 tonnes DNV RP-H103 Sect ) Bollard Pull Static Bollard Pull tonnes Required Bollard Pull (with tug efficiency of 0.75) tonnes Global Maritime Filename: Haewene Brim BP Calc (updated ) Page: 1

7 BOLLARD PULL CALCULATIONS VESSEL NAME: Haewene Brim BEAM m DRAUGHT 7.00 m LENGTH m DEPTH m ϱair tonnes/m 3 ϱwater tonnes/m 3 g (acceleration) 9.81 m/s 2 Wave Drift Coefficients From DNV RP-H103 April 2011 Table 7-1 Typical reflection Coeffircients "R" 1) Wave Drift Force Square Face 1.00 Condeep Face 0.97 R 0.45 Vertical Cylinder 0.88 Hs 5.00 DNV Marine Ops Pt.2 Ch. 2 Sect Barge with Raked Bow 0.67 Barge with Spoon Bow 0.55 WAVE DRIFT FORCE = tonnes DNV RP-H103 Sect Ship Bow 0.45 Wind Coefficients 2) Wind Force From DNV OS-C301 April 2011 Table B1 Values Wind Force Shape Coefficient (Cs) WIND SPEED m/s Shape Cs Spherical AREA (Hull MSL to 15.3m) m^2 Cylindrical Cs 1.00 Large flat surface (hull, deckhouse, smooth under-deck areas) Ch 1.00 Drilling derrick Wires Hull and Main Decks (15.3 to 30.5m) m^2 Exposed beams and girders under deck Cs 1.00 Small parts Ch 1.10 Isolated shapes (crane, beam, etc.) Clustered deckhouses or similar structures Deckhouse (30.5 to 46m) m^2 Cs 1.10 Table B2 Values Wind Force Height Coefficient (Ch) Ch 1.20 Height above sea level (metres) Ch Deckhouse surr. Structure (30.5 to 46m) m^ Cs Ch Equipment on Deckhouse (30.5 to 46m) m^ Cs Ch Equipment on Deckhouse (46 to 61m) m^ Cs Ch Flare Towers (30.5 to 46m) m^ Cs Ch Flare Towers (46 to 61m) m^2 Above Cs 1.25 Ch 1.30 Current Coefficients Flare Tower (61 to 76m) m^2 Hull Type Cd Cs 1.25 SPOON BOW / FAIRED STERN 0.20 Ch 1.37 SPOON BOW / RAKED STERN 0.35 RKD BOW / RKD/SQU STERN 0.50 Exhaust Towers (30.5 to 46m) m^2 Cs 1.00 Ch 1.20 WIND FORCE = tonnes DNV-OS-C301Section B 100 3) Current/Speed Force VESSEL/ CURRENT SPEED 2.03 m/s 2 knots vessel speed + 1 m/s current Cd 0.50 BOW AREA m^2 CURRENT FORCE = tonnes DNV RP-H103 Sect ) Bollard Pull Bollard Pull tonnes Required Bollard Pull (with tug efficiency of 0.75) tonnes Global Maritime Filename: Haewene Brim BP Calc (updated ) Page: 1

8 APPENDIX B Projected Areas TN_24138_1 Page 6 of 6

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