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2007_6_Nr6_EEMJ

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Methods and procedures for environmental risk assessment<br />

Initiating<br />

event<br />

Upward<br />

release<br />

Immediate<br />

ignition<br />

Delayed<br />

ignition<br />

Flame front<br />

acceleration<br />

Final<br />

events<br />

Overall<br />

probabilities<br />

Fig. 2. Event tree diagram<br />

4.2.7. Estimation of overall risk for population<br />

By integrated the product of R by the local<br />

population density over spatial coordinates, the global<br />

risk for a given accident scenario is obtained. By<br />

adding up the several R functions (one of each<br />

scenario), a global risk function is obtained. In order<br />

to estimate the number of injuries and evacuated<br />

people, historical data were used. The average ratios<br />

of injured people/evacuees to fatalities have been<br />

estimated to the followings:<br />

• 2.21 injured people for each fatality,<br />

• 220 evacuees for each fatality.<br />

This data were obtained from processing of<br />

1033 port area accidents from which only 428<br />

occurred during bulk hydrocarbon (un)loading and<br />

tanker movement/maneuvers were retained.<br />

The general ration should be used whenever<br />

the present QRA conceptual approach is applied to a<br />

port, because the scenarios, as they have been<br />

designed and structured, entail both (un)loading and<br />

ship maneuver/ approach operations. Nevertheless,<br />

the operation specific values can be used for studies<br />

that focus on a particular stage in port hydrocarbon<br />

logistics.<br />

5. Mathematic models for environmental analysis<br />

and assessment<br />

The modeling of the environmental systems<br />

is a very difficult problem owing to their complexity,<br />

as well to the complexity of their interaction with<br />

different other systems, interaction that is sometimes<br />

hard to be defined. In this paper, two environmental<br />

mathematic models are described.<br />

The first is a probabilistic model for risk<br />

evaluation that uses a repartition function for a<br />

random vector that describes the concentrations of the<br />

atmospheric pollutant factors. The latter is an<br />

optimization model based on multiple criteria, to<br />

appropriate financial funds for pollution reduction.<br />

For the second model, the solving modality consists<br />

in reduction to an optimization problem with a single<br />

objective function.<br />

Environmental protection against pollution is<br />

a priority not only for the European Union but also<br />

for the countries that wish to joint to EU, countries<br />

that make efforts for harmonization of the specific<br />

legislation. The community environmental policy is<br />

based on its integration within the EU sequential<br />

policies, paying a special attention to the measures for<br />

pollution prevention.<br />

There are numerous concerns related to air,<br />

water and soil pollution generated by exceeding the<br />

limit concentrations of different pollutants, around the<br />

whole world. For pollution reduction there were<br />

conceived mathematic models by different<br />

complexities. Most of them refer to air, soil, water,<br />

air-water, air-soil, soil-water pollution. The main<br />

types of models are based on differential<br />

deterministic and stochastic equations (ordinary<br />

differential equations, equations with partial<br />

derivates), algebraic static equations, Petri networks,<br />

mathematic or stochastic programming, optimal<br />

control theory, Markov chains, Markov processes,<br />

Monte Carlo simulation and models based on<br />

mathematic equations (Radulescu, 2002).<br />

Environmental risk management is a relative new<br />

term in literature. This refers both to the risk and its<br />

effects diminishing measures.<br />

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