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3 COST OPTIMIZATION OF ALLOCATION OF
ANTI POLLUTION RESOURCES
3.1 Optimization model
It is assumed that the fixed costs of opening facility
site and the operating costs of the equipment are
known. Costs include the costs of acquiring the
equipment to be located at the site (these costs
depend on the location of the site and vary with the
geographical location), cost of maintaining the
equipment, the transportation and cleanup costs. The
following goal function is applied:
K
A
+K
s
→min
where:
K
A
-cost of cleanup operation,
K
S
-cost of environmental pollution,
with restrictions:
O
1
- allocation of resources are only in specific
locations (eq. ports),
O
2
- the number of available rescue units and the cost
of their maintenance in standby for action does not
exceed the state budget,
O3- disposal of recovered oil and oily waste should
only be considered after all possibilities of
processing it for use as a fuel or raw materials have
been exhausted.
4 MODEL APPLICATION - CASE STUDY
4.1 Simulation model
PISCES II is an incident response simulator
designed for preparing and conducting command
centre exercises and area drills. The application is
developed to support exercises focusing on oil spill
response. The PISCES II provides the exercise
participants with interactive information
environment based on the mathematical modelling
of an oil spill interacting with surroundings and
combat facilities. The system also includes
information-collecting facilities for the assessment
of the participants’ performance.
The PISCES II spill model simulates processes in
an oil spill on the water surface: transport by
currents and wind, spreading, evaporation,
dispersion, emulsification, viscosity variation,
burning, and interaction with booms, skimmers, and
the coastline (stranding or beaching). The following
factors are taken into consideration in the math
model:
− Environmental parameters: coastline, field of cur-
rents, weather, wave height and water density;
− Physical properties of spilled oil: specific gravity,
surface tension, viscosity, distillation curve and
emulsification characteristics;
− Properties of spill sources;
− Human response actions: booming, on-water re-
covery, application of chemical dispersants.
4.2 Simulation input data
The simulation scenarios have been build on with
application of two potential oil spill points at Baltic
Sea: the first in Gdańsk Bay and the other in the
vicinity of Bornholm. Those points have been
chosen from stochastic oil spill risk model presented
in Gucma L., Przywarty M.: “The Model of Oil
Spills Due to Ships Collisions in Southern Baltic
Area”. The “National Plan of Fighting Threats and
Environmental Pollutions at Sea” have been also
considered.
Oil spill accident can occur in arbitrary moment.
Scenarios were simulated for risk of oil spill impact
evaluation. Meteorological conditions represent
average Baltic Sea conditions. On the base of wind
and current data probable situations were formed.
The data show hypothetical pollution zones for no
ice conditions.
Figure 5. Risk points at the Baltic Sea (Gucma, Przywarty
TRANS’NAV 2007).
4.3 Simulation no 1
First stage of simulations was held in the vicinity
of Bornholm and average spring weather conditions
were used. In the accident point 6 000 ton of light oil
reached the leak. Accurate data concerning spilt oil
and weather conditions are described in the table 1.
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