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A. Papanikolaou, NTUA-SDL 1 Review of regulatory framework of Damage Stability of Dry Cargo and Passenger Ships Two main categories of regulatory concepts and methodologies for the assessment of ship’s damage stability are nowadays in use, namely the deterministic and the probabilistic ones, leading to corresponding regulatory survivability standards (criteria). Deterministic approaches to ship’s damage stability are based on prescriptive, semi-empirical rules and criteria derived from statistical analysis of historical damage data and practical experience. Because of the semi-empirical way of deriving the applied criteria, these methods cannot ensure a reliable minimum level of required survivability in case of new ship designs deviating from the past, nor is the attained level of ship safety known. The probabilistic approach to damage stability relies on a rational statistical assessment of historical accidental data and combines this statistical information with semi-empirical criteria to more rationally assess ship’s survivability by use of a probabilistic concept that takes into account a vast amount of possible damage scenarios with proper weight. US, Nov 2015

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  • A. Papanikolaou, NTUA-SDL 1

    Review of regulatory framework of Damage Stability of Dry Cargo and Passenger Ships

    Two main categories of regulatory concepts and methodologies for the assessment of ship’s damage stability are nowadays in use, namely the deterministic and the probabilistic ones, leading to corresponding regulatory survivability standards (criteria). • Deterministic approaches to ship’s damage stability are based on prescriptive, semi-empirical rules and criteria derived from statistical analysis of historical damage data and practical experience. Because of the semi-empirical way of deriving the applied criteria, these methods cannot ensure a reliable minimum level of required survivability in case of new ship designs deviating from the past, nor is the attained level of ship safety known. • The probabilistic approach to damage stability relies on a rational statistical assessment of historical accidental data and combines this statistical information with semi-empirical criteria to more rationally assess

    ship’s survivability by use of a probabilistic concept that takes into account a vast amount of possible damage scenarios with proper weight.

    US, Nov 2015

  • A. Papanikolaou, NTUA-SDL 2

    Assessment methods of damaged stability of ships

    •Deterministic Approach • Semi-empirical, prescriptive requirements, e.g. SOLAS74, SOLAS 90 • Performance-based (experimental or numerical simulation approaches), e.g. SOLAS 95 – Stockholm Agreement

    • Probabilistic Approach • A.265, equivalent to SOLAS74 • Risk-based, …SOLAS 2009 • Goal-based, …new SOLAS 2016+…

    US, Nov 2015

  • A. Papanikolaou, NTUA-SDL 3

    Deterministic vs. Probabilistic Approach to Ship Stability

    The probabilistic assessment allows the determination of ship’s specific survivability (safety) level against capsize in case of flooding due to collision damages through her Attained Subdivision Index (probability of survival collision damages), whereas a deterministic damage stability standard does not correspond to a quantifiable safety level.

    US, Nov 2015

  • A. Papanikolaou, NTUA-SDL 4

    Recent revisions of SOLAS damage stability regulations

    (last 40 years) The regulatory requirements on ship’s damage stability differ depeding on ship type: - Passenger ships (SOLAS) - Dry cargo ships (SOLAS) - Liquid cargo ships (MARPOL) Main recent revisions of damage stability regulations for passenger and dry cargo ships.

    1974

    SOLAS

    1974

    1990

    SOLAS 74

    rev. 1990 SOLAS 74

    rev. 1992 SOLAS 74 Rev. 1995

    199 2 199 5

    SOLAS

    Part B - 1

    Passenger Ships

    Dry cargo ships

    2009

    SOLAS 74 Rev. 2009

    SOLAS 74

    Rev. 2009

    US, Nov 2015

  • A. Papanikolaou, NTUA-SDL 5

    Passenger ships (deterministic SOLAS 90 requirements)

    Main damage stability criteria of SOLAS 90 for passenger ships Examine for the maximum loading draft Intermediate Stages

    GZ 0.05m, Range > 7o

    θe < 15o

    GZ

    θ

    GM 0.05m

    A rea 0.015 m rad

    Final Stage

    Range 15 degrees

    A ngle of inclination

    7o 1CFL

    12o 2CFL

    GZmax GZreq

    θrange = min (22o 1C FL, 27o 2CFL, θFLOODING, θ(GZ=0))

    Intermediate Stages

    GZ 0.05m, Range > 7o

    θe < 15o

    GZ

    θ

    GM 0.05m

    A rea 0.015 m rad

    Final Stage

    Range 15 degrees

    A ngle of inclination

    7o 1CFL

    12o 2CFL

    GZmax GZreq

    θrange = min (22o 1C FL, 27o 2CFL, θFLOODING, θ(GZ=0))

    04.0

    entHeelingMom

    GZreq

    Heeling moment: - Due to crowding - Launching of crafts of one side - Due to wind pressure

    US, Nov 2015

  • A. Papanikolaou, NTUA-SDL 6

    RoPax – Ro-Ro passenger ships (deterministic-performance based)

    Water On Deck

    Stockholm Agreement-Resolution 14: for NW Europe (after the Estonia Accident)

    EU Directive 2003/25/EC: for South Europe (after the SAMINA accident)

    - In addition to the previously mentioned SOLAS 90 criteria, RoPax ships need to

    fulfill the same criteria, assuming certain amount of WOD (Water On Deck,

    namely their car deck)

    -This hypothetical flood water mass is function of

    - Damage freeboard

    - Significant wave height in the area of operation

    - Max flood water mass:

    - 0.5m for 4.0m sign. wave height and 0.5m damage freeboard

    US, Nov 2015

  • A. Papanikolaou, NTUA-SDL 7

    RoPax – Ro-Ro passenger ships (deterministic-performance based)

    Water On Deck

    -Calculatory method: formal compliance with the specified regulation

    Alternatively (equivalent model test method, Res. 14),

    - Model tests with model of damaged ship in side waves: equivalent

    model test method, performance-based

    -Generally: it proves in practice that the formal calculatory method is

    by far more onerous (very conservative) with respect to ship’s survival

    conditions. Thus, the equivalent model test method is mostly preferred

    US, Nov 2015

    Pres-4m-out.wmv

  • A. Papanikolaou, NTUA-SDL 8

    Deterministic or Probabilistic Approach?! Harmonization of existing & new damage stability

    regulations

    The harmonization of existing damage stability rules was decided by IMO and led to a unified assessment framework based on the probabilistic concept of estimating the damage stability of dry cargo and passenger ships.

    The main goal of harmonization referred to the definition of survivability levels for dry cargo and passenger ships that are equivalent to those defined by the at that time in-force regulations for new-buildings.

    The outcome of the harmonization process was SOLAS 2009!

    Status at that time (years 2000-2003, project HARDER)

    REFERENCE: MSC1/Circ. 1226 (2007): Interim explanatory notes to the SOLAS Chapter II-1 Subdivision and damage Stability Regulations

    Basic ship type In force regulation Model

    Dry cargo ships SOLAS B-1 Probabilistic

    Passenger ships Resolution A.265 Probabilistic

    Passenger ships SOLAS 90

    (SOLAS 95)

    Deterministic

    US, Nov 2015

  • A. Papanikolaou, NTUA-SDL 9

    SOLAS 2009 – Damage stability

    Calculation of the attained subdivision index Α

    Pi-factor: Probability that only the compartment or group of compartments under consideration may be flooded. • Maximum damage length changed to 60 m in SOLAS 2009 (noting that it was 3%L + 3m, but not more than 11m in SOLAS 90!). • Damages of up to B/2 should be assumed (allowing penetration of longitudinal centre line bulkheads) REFERENCE: MSC1/Circ. 1226 (2007): Interim explanatory notes to the SOLAS Chapter II-1 Subdivision and damage Stability Regulations

    tj

    j

    jjji svPA1

    US, Nov 2015

  • A. Papanikolaou, NTUA-SDL 10

    Details of Probabilistic Model

    Basic Approach

    Probability that the ship will encounter

    damage, P1

    Probability of the resulting damage

    location and extent, P2

    Probability of the ship surviving the

    damage, P3

    Probabilistic Analysis of damage survivability

    Probability that the ship will encounter

    damage, P1

    Probability of the resulting damage

    location and extent, P2

    Probability of the ship surviving the

    damage, P3

    Probabilistic Analysis of damage survivability

    Probability that the ship will encounter

    damage, P1

    Probability of the resulting damage

    location and extent, P2

    Probability of the ship surviving the

    damage, P3

    Probabilistic Analysis of damage survivability

    Probability that the ship will encounter

    damage, P1

    Probability of the resulting damage

    location and extent, P2

    Probability of the ship surviving the

    damage, P3

    Probabilistic Analysis of damage survivability

    Collision/ Contact Grounding Ramming Fire/Explosion Other

    Accidents

    A, R

    Indices

    Deterministic Elements

    in Probabilistic Rules

    Collision/ Contact Grounding Ramming Fire/Explosion Other

    Accidents

    A, R

    Indices

    Deterministic Elements

    in Probabilistic Rules Examination of probable damage scenarios

    Loss of Watertight Integrity

    A (710) vs. B (199) - 1.2 Damage length

    0.0

    2.0

    4.0

    6.0

    8.0

    10.0

    12.0

    14.0

    16.0

    0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50

    l/Lpp

    f(x)

    0.00

    0.10

    0.20

    0.30

    0.40

    0.50

    0.60

    0.70

    0.80

    0.90

    1.00

    F(x

    )

    PDF-A

    PDF-B

    CDF-A

    CDF-B

    US, Nov 2015

  • A. Papanikolaou, NTUA-SDL

    Risk Model (Event Tree) for collisions of cruise ships

    11

    Slow sinking: 72% Fatalities: 5%

    Fast sinking: 18% Fatalities: 80%

    27.0%

    42.3077% Sinking (A-Index)

    73.0%

    Water ingress

    4.0%

    57.6923% 0.006%

    37.5% Operational State

    27.0%

    42.3077% Sinking (A-Index)

    73.0%

    Water ingress

    23.0%

    57.6923% 0.0348%

    27.0%

    11.7647% Sinking (A-Index)

    73.0%

    Water ingress

    73.0%

    88.2353% 0.1688%

    0.699% Initiator

    62.5% 0.4369%

    Collision

    99.301% 99.301%

    Ship type

    No

    Yes

    Struck

    En Route

    Yes

    No

    No

    Limited Waters

    Yes

    No

    No

    Terminal

    Yes

    No

    No

    Striking

    Yes

    Yes

    Yes

    US, Nov 2015

  • A. Papanikolaou, NTUA-SDL 12

    Probabilistic Model

    The probability of survival of a ship after a damage (LOWI) due to collision with another ship of comparable size is expressed by the Attained Subdivision Index A. When calculating this index, a series of different damage scenarios for pre-determined loading conditions (full and partial load) are taken into account. The general form of the index A is the following:

    wfi: weight functions for the various loading conditions (full, partial, light) Αi : attained subdivision index for each examined loading draft The attained subdivision index should not be less that the required index R, which is specified in the SOLAS regulations.

    ii AwfA

    Required Index R 1. Cargo ships, function of L 2. Passenger ships, function of L,

    number of POB N and N1 (lifeboat capacity)

    Summation of attained indices for various loading conditions: A = 0.4As + 0.4Ap + 0.2Al

    32

    11CNCL

    CR

    S

    Dry Cargo Ships (L>100m): C1=128, C2=0, C3=152. Passenger Ships: C1=5000, C2=2.5, C3=15225.

    US, Nov 2015

  • A. Papanikolaou, NTUA-SDL 13

    Modelling of survivability levels

    The general formulation of new required survivability levels (project HARDER)

    It should be noted, that due to the large scatter of the sample data of passenger ships, part of which were exhibiting unacceptably low attained indices, two alternative formulations for the R index were originally proposed by SLF47 for adoption by MSC 80. Alternative 1 corresponds to the best regression fitting of a reduced sample of ships with satisfactory levels of survivability, whereas Alternative 2 (finally adopted) considers an enhanced sample of passenger ships at worse regression fitting.

    32

    11CNCL

    CR

    S

    Required Subdivision Index

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1.0

    0 1000 2000 3000 4000 5000 6000

    L + N

    A,

    R

    A-f_heel_int

    SLF47 Proposal,

    Alt 2

    C1=5000,

    C2=2.5

    C3=15225

    SLF47 Proposal,

    Alt 1

    C1=2500, C2=3.5

    C3=5413

    Following a series of deliberations at IMO-SLF-MSC, IMO-MSC80 (2005), the finally adopted the following numerals for the Ci coefficients

    Dry Cargo Ships (L>100m): C1=128, C2=0, C3=152. Passenger Ships: C1=5000, C2=2.5, C3=15225.

    US, Nov 2015

  • A. Papanikolaou, NTUA-SDL

    Comparison of Required Subdivision Indices

    25

    200005

    230012

    pobRIndex

    000,6for97.0

    000,1for9.0

    1

    pob

    pob

    RIndex

    Pending final discussions/approval

    by IMO

    US, Nov 2015