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. A. Papanikolaou, NTUA-SDL 1
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+ A. Papanikolaou, NTUA-SDL 2
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. A. Papanikolaou, NTUA-SDL 3
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. SOLAS 1974 SOLAS 74 rev. 1990 SOLAS 74 rev. 1992 SOLAS 74 Rev. 1995 SOLAS 74 Rev. 2009 Passenger Ships 1974 1990 199 2 199 5 2009 Dry cargo ships SOLAS Part B - 1 SOLAS 74 Rev. 2009 A. Papanikolaou, NTUA-SDL 4
Passenger ships (deterministic SOLAS 90 requirements) Main damage stability criteria of SOLAS 90 for passenger ships Examine for the maximum loading draft GZ Inter mediate Stages GZ 0.05m, Range > 7 o θe < 15 o GM 0.05m GZreq HeelingMoment 0.04 GZmax GZreq Heeling moment: - Due to crowding - Launching of crafts of one side - Due to wind pressure A ngle of inclination 7 o 1CF L A rea 0.015 m rad 12 o 2CF L Final Stage Range 15 degrees θrange = min (22 o 1C F L, 27 o 2CF L, θ FLOODING, θ(gz=0)) θ A. Papanikolaou, NTUA-SDL 5
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 A. Papanikolaou, NTUA-SDL 6
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 A. Papanikolaou, NTUA-SDL 7
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) 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 REFERENCE: MSC1/Circ. 1226 (2007): Interim explanatory notes to the SOLAS Chapter II-1 Subdivision and damage Stability Regulations A. Papanikolaou, NTUA-SDL 8
SOLAS 2009 Damage stability Calculation of the attained subdivision index Α A i j t j1 P Pi-factor: Probability that only the compartment or group of compartments under consideration may be flooded. j v 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 j s j A. Papanikolaou, NTUA-SDL 9
f(x) F(x) Details of Probabilistic Model Basic Approach A (710) vs. B (199) - 1.2 Damage length Probability that the ship will encounter damage, P1 Probabilistic Analysis of damage survivability Probability of the resulting damage location and extent, P2 Probability of the ship surviving the damage, P3 16.0 14.0 12.0 10.0 8.0 6.0 4.0 2.0 0.0 PDF-A PDF-B CDF-A CDF-B 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 l/lpp 1.00 0.90 0.80 0.70 0.60 0.50 0.40 0.30 0.20 0.10 0.00 Accidents Collision/ Contact Grounding Ramming Fire/Explosion Other Loss of Watertight Integrity A, R Indices Deterministic Elements in Probabilistic Rules Examination of probable damage scenarios A. Papanikolaou, NTUA-SDL 10
Risk Model (Event Tree) for collisions of cruise ships Yes Yes 42.3077% Sinking (A-Index) No 27.0% 73.0% Fast sinking: 18% Fatalities: 80% Struck En Route 37.5% Operational State 4.0% No Water ingress 57.6923% 0.006% Yes 27.0% Slow sinking: 72% Fatalities: 5% Yes 42.3077% Sinking (A-Index) No 73.0% Limited Waters 23.0% No Water ingress 57.6923% 0.0348% Yes 27.0% Yes 11.7647% Sinking (A-Index) No 73.0% Terminal 73.0% No Water ingress 88.2353% 0.1688% Yes 0.699% Initiator Striking 62.5% 0.4369% Ship type Collision No 99.301% 99.301% A. Papanikolaou, NTUA-SDL 11
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: Summation of attained indices for various A wf i Ai loading conditions: A = 0.4As + 0.4Ap + 0.2Al wf i : weight functions for the various loading conditions (full, partial, light) Α i : 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. C1 Required Index R R 1 L 1. Cargo ships, function of L S C2 N C3 2. Passenger ships, function of L, number of POB N and N1 Dry Cargo Ships (L>100m): C1=128, C2=0, C3=152. (lifeboat capacity) Passenger Ships: C1=5000, C2=2.5, C3=15225. A. Papanikolaou, NTUA-SDL 12
A, R Modelling of survivability levels The general formulation of new required survivability levels (project HARDER) R 1 L S C C 2 1 N C 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. 3 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. 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 Required Subdivision Index 0 1000 2000 3000 4000 5000 6000 L + N SLF47 Proposal, Alt 1 C1=2500, C2=3.5 C3=5413 A-f_heel_int SLF47 Proposal, Alt 2 C1=5000, C2=2.5 C3=15225 A. Papanikolaou, NTUA-SDL 13
Comparison of Required Subdivision Indices R Index 1 0.9 for pob 1,000 0.97 for pob 6,000 R Index 2 1 5 2300 pob 20000 Pending final discussions/approval by IMO A. Papanikolaou, NTUA-SDL 25