International Journal
on Marine Navigation
and Safety of Sea Transportation
Volume 6
Number 3
September 2012
381
1 INTRODUCTION
In recent years, the volume of maritime traffic has
significantly increased in the Gulf of Finland, espe-
cially because of the expansion of the Russian oil
exports from harbors such as Primorsk and
Vysotskiy. Up to the recent economic recession, the
volume of oil exported from Russia has increased
every year, and it is expected to keep increasing in
the future (Kuronen et al. 2008, Helcom 2010). With
this increasing traffic density, inherent risks such as
oil spills are of special concern due to the highly
vulnerably marine ecosystem of the Gulf of Finland
(Helcom 2010).
Analysis of historic shipping accidents show that
worldwide, groundings, collisions and fires are the
most common accident types (Soares 2001), while in
the shallow, island-littered waters of the Gulf of Fin-
land, groundings and ship-ship collisions are most
frequent (Kujala et al. 2009). This justifies the con-
cern of this paper with the risk of oil tankers in-
volved in ship-ship collision accidents.
The main driving idea of the model presented in
this paper is the societal trend towards science-based
risk-informed decision making, an idea supported by
organizations such as the IMO or IALA. In the mari-
time field, the Formal Safety Assessment provides a
framework for this aim.
2 OUTLINE OF RISK ASSESSMENT
METHODOLOGY
The risk assessment methodology is rooted in the
commonly accepted framework of the Formal Safety
Assessment (FSA) (Kontovas and Psaraftis, 2005).
The conceptual FSA-methodology is shown in Fig.
1. It starts with an identification of hazards, followed
by an analysis of the risk. Thereafter, risk control
options are defined, the effect of which should be
evaluated using the risk analysis method.
This should be followed by a cost-benefit analysis
and recommendations as to which risk control op-
tions to implement. It is therefore essential that the
risk analysis methodology is able to provide a relia-
Simplified Risk Analysis of Tanker Collisions in
the Gulf of Finland
F. Goerlandt, M. Hanninen, K. Stahlberg, J. Montewka & P. Kujala
Aalto University, School of Science and Technology, Department of Applied Mechanics,
Espoo, Finland
ABSTRACT: Maritime traffic poses various risks in terms of human casualties, environmental pollution or
loss of property. In particular, tankers pose a high environmental risk as they carry very large amounts of oil
or more modest amounts of possibly highly toxic chemicals. In this paper, a simplified risk assessment meth-
odology for spills from tankers is proposed for the Gulf of Finland, for tankers involved in a ship-ship colli-
sion. The method is placed in a wider risk assessment methodology, inspired by the Formal Safety Assess-
ment (FSA) and determines the risk as a combination of probability of occurrence and severity of the
consequences. The collision probability model is based on a time-domain micro simulation of maritime traf-
fic, for which the input is obtained through a detailed analysis of data from the Automatic Identification Sys-
tem (AIS). In addition, an accident causation model, coupled to the output of the traffic simulation model is
proposed to evaluate the risk reduction effect of the risk control options. Further development of the model is
needed, but the modular nature of the model allows for continuous improvement of the modules and the ex-
tension of the model to include more hazards or consequences, such that the effect of risk control options can
be studied and recommendations made. This paper shows some preliminary results of some risk analysis
blocks for tanker collisions in the Gulf of Finland.
382
ble evaluation of the effect of the risk reducing
measures.
The system risk is defined based on the definition
of Kaplan (1997) as a set of triplets:
{(s
i
, l
i
, c
i
)}, i=1, 2, 3,… (1)
Here, s
i
defines the context of the accident sce-
nario, l
i
the likelihood of the accident occurring in
that scenario and c
i
the evaluation of the conse-
quence in the scenario.
Fig. 1. General outline of FSA methodology
It is important to indicate that l
i
and c
i
are de-
pendent on the accident scenario s
i
, which is to be
seen as a multi-parameter set, i.e. a range of varia-
bles relevant to the evaluation of the accident proba-
bility l
i
and the consequence c
i
.
The risk analysis methodology is based on a sys-
tem simulation of the maritime traffic in a given ar-
ea. The overall flowchart, focusing on the risk of
ship collision, is shown in Fig. 2. The various mod-
ules of this model, insofar these are already availa-
ble, will be introduced below.
Fig. 2. General outline of FSA methodology
At present, the model is capable only to assess the
risk of ship-ship collision, which is the second most
important hazard in the Gulf of Finland, based on
the accident statistics of Kujala et al. (2009). The
methodology can in principle be extended without
too many difficulties to other accident types such as
ship grounding and fires.
3 TRAFFIC SIMULATION AND COLLISION
ENCOUNTER SCENARIO MODEL
The traffic simulation and collision encounter sce-
nario detection module is one of the core units of the
overall risk assessment model. The basic idea is to
simulate the traffic on a micro-scale. For each vessel
sailing in the area, the trajectory is simulated, while
assigning a number of parameters to this vessel.
These include departure time, ship type, length,
loading status, cargo type and ship speed, as illus-
trated in Fig. 3. The simulation of all vessels in the
area provides a traffic simulation and the subsequent
detection of the vessels which collide, assuming that
no evasive action is made, results in the definition
collision encounter scenarios.
Fig. 3. Generated data for each simulated vessel (traffic event)
The input for this model is taken from data from
the Automatic Identification System (AIS), aug-
mented with statistical data from harbors concerning
the traded cargo types. Details on how this simula-
tion and collision candidate detection is performed,
is given in Goerlandt and Kujala (2011).
As an illustration of the input for the simulation
model, Fig. 4 shows the departure time distribution
for vessels sailing from Helsinki to Tallinn. Fig. 5
shows the ship length distribution for tankers to
Sköldvik and Primorsk. Fig. 6 shows the average
ship speed distributions for all considered ship types.
This information is used as a first estimate of the
ship speed before the collision candidates are ob-
tained. After detection of a collision candidate in a
specific area, the speed is resampled from ship type
specific speed distributions by location, as shown in
Fig. 8. This speed is then updated in the collision
encounter scenario.
Table 1 shows the harbor-specific data for cargo
types of chemical tankers, for the port of Hamina.
The cargos carried by the simulated vessels are sam-
pled from this information, after a more in-depth
analysis of which trade routes represent which cargo
types. Fig. 7 shows the simulated traffic in the Gulf
of Finland, based on the input obtained from AIS.
383
Fig. 4. Departure time distributions, traffic from Helsinki to
Tallinn
Fig. 5. Length distribution of tankers to Sköldvik and Primorsk
Fig. 6. Speed distributions of vessels in the Gulf of Finland
In Table 2, an example of output obtained from
the collision encounter simulation model is shown.
This is to be interpreted as the accident scenario con-
text using the definition of Kaplan (1997) as pre-
sented in Section 2.
Fig. 7. Simulated traffic for one year
map: © Merenkulkulaitos lupa nro 1321 / 721 / 200 8
Fig. 8. Average speed of tankers in the Gulf of Finland and lo-
cal speed distributions, based on AIS data of 2006-2009
map: © Merenkulkulaitos lupa nro 1321 / 721 / 200 8
Table 1. Example of data concerning harbor-specific trade vol-
ume: port of Hamina, Finland (Hänninen and Rytkonen, 2006)
__________________________________________________
IMPORT PRODUCTS
Product Vol. [ton] Product Vol. [ton]
__________________________________________________
Butadiene 53926 Sulphuric acid 39492
Buthyl acrylate 12233 Styrene monomer 3380
Phenol 1038 Vinyl acetate 1457
Caustic Soda 78547 Methyl ketone 501
__________________________________________________
EXPORT PRODUCTS
Product Vol. [ton] Product Vol. [ton]
__________________________________________________
Butane 741 Methyl-butyl ether 83104
Isoprene 8271 Nonylphenol 48830
Methanol 762012 Propane 2839
Styrene monomer 9602 Vinyl acetate 457
Propylene 5897
__________________________________________________
COMMON ORIGINS COMMON DESTINATIONS
__________________________________________________
St. Petersburg Rotterdam, Antwerpen,
Teesport, Hamburg, Gdynia
__________________________________________________
Table 2. Examples of encounter scenarios obtained by the
model of Goerlandt and Kujala (2011)
__________________________________________________
Location Time Origin Type‡ Speed
[long | lat] [m.h:m] Struck Striking [kn]
__________________________________________________
24.60|59.82 01.05:10 Hamina C P V
loc
22.31|59.34 03.08:47 Sköldvik GC GC V
loc
27.96|60.17 03.13:32 Kotka OT GC V
loc
24.10|59.55 04.21:10 St. Petersb GC OT V
loc
25.23|57.53 06.09:05 Vyborg P GC V
loc
29.11|59.95 07.14:13 St. Petersb GC GC V
loc
__________________________________________________
† V
loc
is the local speed distribution for the relevant ship types
‡ Type: C = chemical tanker, P = passenger vessel, GC = gen-
eral cargo ship, OT = oil tanker
384
4 COLLISION SCENARIO AND WEATHER
MODEL
While the collision encounter scenario model is able
to partly define the accident context, this is insuffi-
cient to accurately define either the likelihood of the
accident l
i
or the consequences c
i
.
As a first concern, it should be noted that an en-
counter scenario, which depends only on the nature
of the maritime traffic flows, is not equivalent to the
actual collision scenario. In particular, due to possi-
ble evasive maneuvers made prior to collision, es-
sential parameters such as vessel speed and collision
angle may deviate significantly from the encounter
conditions. This has an important effect on the eval-
uation of the consequences c
i
, as can be evaluated by
inspecting the collision energy models of Zhang
(1999) or Tabri (2010).
Several authors have proposed models for the pa-
rameters relevant to the collision scenario, usually
based on accident statistics. Some of these proposals
are briefly described in Table 3. However, at present
no reliable model exists linking the encounter sce-
nario and the collision scenario. This has been inves-
tigated by Goerlandt et al. (2011) using a compari-
son of the hull breach probability for various
collision scenario models, based on a collision ener-
gy model by Zhang (1999) and a criterion for the
critical energy the ship hull can withstand before
breach of the double hull. The results of the local
probability of oil spill resulting from the various col-
lision scenarios from Table 3, is shown in Fig. 9.
Table 3. Impact scenario models available in literature
__________________________________________________
Impact model by Rawson (1998)
__________________________________________________
Collision angle: U(0,180)
V
striking
: Truncated bi-normal N(5,1) | N(10,1)
V
struck
: Idem as V
striking
Collision location: U(0,180)
__________________________________________________
Impact model by NRC (2001)
__________________________________________________
Collision angle: N(90,29)
V
striking
: W(6.5, 2.2)
V
struck
: E(0.584)
Collision location: B(1.25,1.45)
__________________________________________________
Impact model by Lützen (2001)
__________________________________________________
Collision angle: T(0, α
enc
, 180)
V
striking
: Below .75V
enc
: U(0, .75V
enc
)
Above .75V
enc
: T(.75 V
enc
, V
enc
)
V
struck
: T(0, V
enc
)
Collision location: Empirical distribution, see Lützen (2001)
__________________________________________________
† U: uniform | N: normal | W: weibull | E: exponential | B: beta
| T: triangular distribution
For a proper formulation of the accident context,
a weather model, capable of predicting the factors
which are needed in the evaluation of the accident
likelihood and consequences, is needed as well.
These factors include wind velocity, sea state and
visibility. At present, this weather simulation mod-
ule has not been implemented in the presented mari-
time accident assessment methodology.
In terms of the parameters defining the accident
context, denoted s
i
in the formulation of Kaplan
(1997), the weather model adds certain parameters
to the values obtained from the collision scenario
model, as given in Table 2. These weather-related
factors affect the likelihood of the accident l
i
and the
effectiveness of response to oil spill.
The collision scenario model adds certain param-
eters such as which is the striking and struck ship
and the location of the collision along the struck ship
hull. In addition, this model should modify certain
parameters such as the collision angle and vessel
speed of striking and struck vessel, which have an
important contribution to the consequence assess-
ment, i.e. c
i
in the Kaplan-nomenclature of Eq. 1.
Fig. 9. Results of location-specific spill probability according
to algorithm in Fig. 9 and (Eq. 4), impact models: see Table 5,
map: © Merenkulkulaitos lupa nro 1321 / 721/ 200 8, taken
from Goerlandt et al. (2011).
385
5 ACCIDENT CAUSATION MODEL
The accident causation model gives a probability of
a collision accident occurring in a given context, in
terms of the system risk definition by Kaplan (1999),
this is the scenario specific likelihood of accident l
i
.
This accident causation module from Fig. 2 is
constructed using the methodology of the Bayesian
Belief Network (BBN). The model is shown in Fig.
10, and is discussed in more detail in (Hänninen and
Kujala 2009, Hänninen and Kujala 2011).
The model is rooted in expert opinion, accident
and incident data, with the understanding that some
parameters are taken directly from the output of the
simulation model, in particular the traffic encounter
scenario model and the weather model. For instance,
the values for the nodes for encounter type, ship
types and sizes, time of year, daylight condition and
whether or not the encounter location is in a VTS ar-
ea can be derived from the encounter scenario mod-
ule as explained in Section 3. The visibility and
weather conditions could be derived from the weath-
er model as discussed in Section 4.
Table 4 gives an overview of the groups of nodes
in the Bayesian Network, giving a number of exam-
ples of some nodes in these groups. The parameters
which are directly taken from the traffic and weather
simulation models are marked in italics.
The accident causation model is an important el-
ement in the study of the risk control options, as dis-
cussed in more detail in Section 7.
Table 4. Node groups in the Bayesian model with examples
__________________________________________________
Visual detection Management factors
__________________________________________________
Visibility Safety culture
Other ship size Maintenance routines
Bridge view Bridge resource management
Daylight
__________________________________________________
Navigational aid detection Human factors
__________________________________________________
Radar detection Stress
AIS installed Competence
AIS signal on radar screen Situational assessment
Collision avoidance alarms Familiarization
__________________________________________________
Support Evasive actions / overall
__________________________________________________
VTS vigilance Encounter type
Pilot vigilance Give way situation
Other internal vigilance Time of year
Weather
Ship type
__________________________________________________
Technical reliability
__________________________________________________
Steering failure
Radar functionality
AIS functionality
__________________________________________________
Fig. 10. Causation probability model
386
6 HULL BREACH PROBABILITY AND SPILL
SIZE
In terms of collision consequences c
i
, the focus of
this paper is limited to the probability of spills from
oil tankers. The environmental or socio-economic
damage or implications for oil combating operations
is at present not considered.
The hull breach probability can be determined
based on a comparison of the available deformation
energy in the collision scenario, compared to the en-
ergy which the ship structure can withstand before
the inner hull is breached.
For the available deformation energy, a number
of models is available. Zhang (1999) proposed a rel-
atively simple analytical model, assuming rigid bod-
ies and 2-dimensional ship motions. Brown (2002)
proposed a simplified model taking the interaction
between inner mechanics (i.e. the structural defor-
mation) and the outer mechanics (i.e. the ship mo-
tions in a collision) into account, limited to 2-
dimensional ship motions. Tabri (2010) proposed a
full 6 degrees of freedom model, coupling inner and
outer mechanics and taking the sloshing of liquids in
a tank into account.
For the ship structural energy, methods such as
finite element calculations, e.g. as proposed by Eh-
lers (2010) could be used. In Goerlandt et al. (2011),
a simple criterion based on regression of available
ship structural data is proposed.
The methodology to compare the available de-
formation energy and the hull structural strength is
outlined in detail in Goerlandt et al. (2011). Also the
work by Klanac et al. (2010) uses a variation of this
approach to assess the hull breach probability.
For the oil spill size, a number of models has
been proposed in the literature. Examples are a
probabilistic extension of the IMO-tanker design cri-
teria as proposed by Montewka et al. (2010). A re-
lated methodology has been proposed by Smailys
and Cesnauskis (2006). A simple oil volume outflow
model based on statistics of tank sizes has been pro-
posed by Gucma and Przywarty (2007). While these
models have their merits, they are very simplified
and do not take the detailed information from the ac-
cident scenario si into account.
On the other hand, the model proposed by van de
Wiel and van Dorp (2009) is capable of predicting
the size of both a cargo oil spill and of a bunker oil
spill using a number of variables determined in the
collision accident scenarios. Such variables are the
vessel sizes, speeds, collision angles and collision
location along the struck ship hull. Thus, this model
provides a good match with the information of the
accident scenario information si. However, as indi-
cated in Section 4, there exists a significant uncer-
tainty concerning the validity of the available mod-
els for the collision scenarios.
The model is based on a combination of collision
energy calculations, used to determine the damage
length and width, and a limited reference ship data-
base. Based on this information, it is assessed
whether or not the hull is breached, and in the case it
is, how much oil will flow out of the ship. The mod-
el can also be used for estimating the spill in case of
grounding.
Since chemical tankers have a significantly dif-
ferent structural arrangement, the above mentioned
methods can not directly be used for estimation of
spill sizes of this vessel type. Also consequence
evaluation based on structural damage for other ves-
sel types is at present not available. However, the
principle behind the methods proposed by Ehlers
(2010) and Tabri (2010) can be used to get reliable
results for these accident types.
7 OVERALL RISK ASSESSMENT:
APPLICATION
The application of the risk assessment methodology
is to be done by modifying the values for the risk
control options in the model to evaluate the effect on
the risk level. With an estimate of the cost of imple-
mentation of the risk control options and the saved
cost due to the reduced risk, an informed decision
can be made.
A number of risk control options are related to the
accident likelihood l
i
. For instance, the VTS vigi-
lance, pilot vigilance, safety culture, navigator com-
petence, navigational equipment and aids to naviga-
tion are taken into account in the accident causation
model, as described in Section 5. Also the ship rout-
ing affects the accident likelihood, which in princi-
ple can be studied by modification of the traffic
streams in the traffic simulation model, resulting in
less and/or safer encounters.
Other risk control options affect the severity of
the consequences in case of an accident. Examples
of these are the speed limits in local sea areas and
the encounter situation, which directly affect the
available collision energy. Also the structural
strength of the ship hull is an important factor in the
severity of the consequences. The accident response
effectiveness in terms of number, location and
equipment of the available oil response or search
and rescue fleet, can also be studied based on the
risk maps produced in the risk analysis step.
It should be noted in this context that estimating
the accident costs is a difficult task in itself due to
the highly complex nature of the studied system. For
instance, for an oil spill due to collision, apart from
the spill size, the ecological and socio-economic
387
value of the environment in which the spill may oc-
cur, should be considered.
It may therefore be more feasible to study the rel-
ative risk reduction of the measures as such, and
comparing these to the costs of the risk control op-
tions. This will also lead to a decent risk-informed
decision, if a certain expertise is available to inter-
pret the results of the risk assessment.
8 CONCLUSION AND FUTURE WORK
It should be clear that the evaluation of the risks re-
lated to maritime traffic in the framework of a For-
mal Safety Assessment is a very wide and laborious
task, not in the least because of the multidisciplinary
nature of the studied system. Such fields as logistics,
maritime engineering, systems analysis, operations
research and environmental modeling should be
combined in an overall FSA-framework.
The maritime system simulation methodology
starts from the premise that the likelihood and con-
sequence of each relevant accident type can be cal-
culated based on situational information, as suggest-
ed by Kaplan (1997). The aim of determining each
of the modules building up the model for maritime
system risk in a scientifically sound manner is to be
seen as an attempt to rationalize the decision making
process in risk related matters.
It is clear that even though the scope of the cur-
rent model is rather limited (only the probability of
collision of ships in open waters and the conse-
quences in terms of oil spill size are included as yet),
and even within these models certain improvements
could be made (e.g. the collision scenario model
linking encounter scenario to actual impact condi-
tions), the modular nature of the model allows for
gradual improvement and extension of the models to
include additional hazards, risk analysis blocks or
risk control options.
Consequently, the remaining work is still very
significant before any proper conclusions can be
made. Firstly, other hazards (ship grounding, fire)
should be included. Secondly, a weather model
should be coupled to the accident scenario genera-
tion. Thirdly, for ship collisions, the consequences
for other ship types (chemical tankers, passenger
vessels), should be determined in terms of economic
loss due to structural damage or loss of human life.
There is also significant work to be done in the un-
derstanding of accident causation, and for various
accident types, there is a lack of consequence mod-
els.
ACKNOWLEDGEMENTS
The authors appreciate the financial contribution of
the European Union and the city of Kotka. This re-
search is carried out within the EfficienSea project
and in association with the Kotka Maritime Research
Centre.
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