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reliability assessment of offshore jacket structures in niger delta

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For the Stand–by parallel, the system is fully redundant. Any one <strong>of</strong> A or B orcomb<strong>in</strong>ation A and B <strong>in</strong> work<strong>in</strong>g condition will make the system success. All componentsmust fail for the system to fail.The failure <strong>of</strong> Stand-by Parallel can be represented <strong>in</strong> Boolean Logic as:F = A ∩ B(9)The probability <strong>of</strong> the system failure is given by either:P = P . P(10)RSSAB{( 1 − R )( . − R )}= 1 −1(11)AB2.1.4 Jacket Group Brac<strong>in</strong>g Reliability (Active Parallel)The <strong>reliability</strong> estimation for group brac<strong>in</strong>g “A” for a <strong>jacket</strong> <strong>structures</strong> is illustrated <strong>in</strong>Figure 4 whose brac<strong>in</strong>g member arrangement is <strong>in</strong> active parallel mode and can berepresented by Equation (9).R = −[(P + P + P + P −P.P.P.P)](12)AM.A. Salau, D.E. Esezobor, M. F. Omotoso/Petroleum & Coal 53 (4) 291-301, 2011 2941a b c d. a b c dwhere: R A is <strong>reliability</strong> <strong>of</strong> brac<strong>in</strong>g group “A” and P a , P b , P c , P d are the failure probabilities<strong>of</strong> each brac<strong>in</strong>g members or member thickness corrosion loss. The <strong>reliability</strong> <strong>of</strong> otherbrac<strong>in</strong>g groups B, C, D, E, and F will be also estimated accord<strong>in</strong>g to the formula <strong>in</strong>Equation (12).L 4L 1L 3L 2(+) 4.0MWLbdacGroup A: Consist <strong>of</strong> allthe diagonal brac<strong>in</strong>gsbetween Level (+) 4.0mand (-) 7.0mGroup B: Consist<strong>of</strong> all the horizontalbrac<strong>in</strong>gs <strong>in</strong> Level(-) 7.0mEL (-) 7.0Group C: Consist <strong>of</strong> allthe diagonal & verticalbrac<strong>in</strong>gs between Level(-) 7.0m and (-) 18.3mEL (-) 18.3Group D: Consist<strong>of</strong> all the horizontalbrac<strong>in</strong>gs <strong>in</strong> Level(-) 18.3mGroup E: Consist <strong>of</strong> allthe diagonal & verticalbrac<strong>in</strong>gs between Level(-) 18.3m and (-) 32.0mAEL (-) 32.01BGroup F: Consist<strong>of</strong> all the horizontalbrac<strong>in</strong>gs <strong>in</strong> Level(-) 32.0m2Figure 4 Jacket Structure Diagram show<strong>in</strong>g Brac<strong>in</strong>g Member Groups and Support Legs

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