| Literature DB >> 28665325 |
José Luis Fuentes-Bargues1, Mª Carmen González-Cruz2, Cristina González-Gaya3, Mª Piedad Baixauli-Pérez4.
Abstract
The size and complexity of industrial chemical plants, together with the nature of the products handled, means that an analysis and control of the risks involved is required. This paper presents a methodology for risk analysis in chemical and allied industries that is based on a combination of HAZard and OPerability analysis (HAZOP) and a quantitative analysis of the most relevant risks through the development of fault trees, fault tree analysis (FTA). Results from FTA allow prioritizing the preventive and corrective measures to minimize the probability of failure. An analysis of a case study is performed; it consists in the terminal for unloading chemical and petroleum products, and the fuel storage facilities of two companies, in the port of Valencia (Spain). HAZOP analysis shows that loading and unloading areas are the most sensitive areas of the plant and where the most significant danger is a fuel spill. FTA analysis indicates that the most likely event is a fuel spill in tank truck loading area. A sensitivity analysis from the FTA results show the importance of the human factor in all sequences of the possible accidents, so it should be mandatory to improve the training of the staff of the plants.Entities:
Keywords: Fault Tree Analysis (FTA); HAZard and OPerability analysis (HAZOP); fuel; risk; storage
Mesh:
Substances:
Year: 2017 PMID: 28665325 PMCID: PMC5551143 DOI: 10.3390/ijerph14070705
Source DB: PubMed Journal: Int J Environ Res Public Health ISSN: 1660-4601 Impact factor: 3.390
Figure 1Methodology of study.
HAZard and OPerability analysis (HAZOP) guide word method. Source: ISO 31010: 2011 [27].
| Guide Word | Meaning | Example of Deviation |
|---|---|---|
| NO | Absence of the variable to which it applies | No flow in line |
| LESS | Quantitative reduction | Less flow |
| MORE | Quantitative increase | Higher temperature |
| OTHER | Partial or total replacement | Other substances were added |
| INVERSE | Opposite function to design intention | Return flow |
| PART OF | Qualitative decline. Only part of what should happen occurs | Part of volume required by recipe was added |
| IN ADDITION | Qualitative increase. More is produced than intended | In addition of the amount of water of the process was added |
Figure 2HAZard and OPerability analysis (HAZOP) process.
Symbols used in fault trees. Source: ISO 31.010:2011 [27] and Vesely et al. [37].
| Symbol | Meaning | Description |
|---|---|---|
| Logic gate AND | The output event happens only if all input events happen | |
| Logic gate OR | The output event occurs if any of the input events happen | |
| Basic event | Failure of a component that has no identifiable primary cause. It is the highest level of detail in the tree | |
| Undeveloped event | Failure of a component with a primary cause undeveloped because of lack of information | |
| Intermediate event | A fault event that occurs because of one or more antecedents causes acting through logic gates |
Figure 3Three areas of activity.
Systems, subsystems, and nodes for HAZOP analysis.
| System | Sub-System | Nodes | |||
|---|---|---|---|---|---|
| 1 | Unloading ship | 1.1 | Connection ship terminal | 1.1.1 | Docking ship at terminal |
| 1.1.2 | Extension of marine loading arm | ||||
| 1.1.3 | Joining of marine arm and manifold | ||||
| 1.2 | Transfer to tanks | 1.2.1 | Opening of valves | ||
| 1.2.2 | Product movement | ||||
| 1.2.3 | Closure of valves | ||||
| 1.2.4 | Cleaning of tubes | ||||
| 2 | Storage of product in tanks | 2.1 | Filling tanks | 2.1.1 | Opening tank valves |
| 2.1.2 | Filling tank | ||||
| 2.1.3 | Closing tank valves | ||||
| 2.2 | Product storage | 2.2.1 | Product storage | ||
| 3 | Loading product in tank truck | 3.1 | Arrival at loading station | 3.1.1 | Positioning of tank truck |
| 3.1.2 | Flexible hose connection to tank truck | ||||
| 3.2 | Transfer from tanks | 3.2.1 | Opening tank truck valves | ||
| 3.2.2 | Transfer and filling of tank | ||||
| 3.2.3 | Valve closure | ||||
Guide Words and Parameters used in the HAZOP analysis.
| ID System | ID Sub-System | ID Nodes | Guide Word | Parameter |
|---|---|---|---|---|
| 1 | 1.1 | 1.1.1 | Wrong/More | Mooring/Speed |
| 1.1.2 | Other/No/Less | Direction/Movement/Safety | ||
| 1.1.3 | Other/No/No/Less | Element/Connection/Electrical Isolation /Safety | ||
| 1.2 | 1.2.1 | No/Less/More/More/More | Flow/Flow/Speed/Static Electricity/Corrosion | |
| 1.2.2 | More-Less/Less/Less/More/Yes/More | Pressure/Maintenance/Flow/Static Electricity/Collision/Corrosion | ||
| 1.2.3 | Yes/More/More-Less/More/More | Flow/Speed/Pressure/Static Electricity/Corrosion | ||
| 1.2.4 | No/Less | Cleaning/Pressure | ||
| 2 | 2.1 | 2.1.1 | No/Less/More/More/More | Flow/Flow/Speed/Static Electricity/Corrosion |
| 2.1.2 | More/More | Level/Static electricity | ||
| 2.1.3 | Yes/More/More-Less/More/More | Flow/Speed/Pressure/Static Electricity/Corrosion | ||
| 2.2 | 2.2.1 | Yes/More/More/Less | Flammability/Corrosion/Pressure/Maintenance | |
| 3 | 3.1 | 3.1.1 | Wrong/Wrong/Different | Entry into the loading bay/Manoeuvrability at the loading bay/Loading position |
| 3.1.2 | Less/Less | Connection/Safety | ||
| 3.2 | 3.2.1 | No/Less/More/More/More | Flow/Flow/Speed/Static Electricity/Corrosion | |
| 3.2.2 | More/No/Yes/More/Less | Level/Connection/Stop filled/Static Electricity/Safety | ||
| 3.2.3 | Yes /More/More-Less/More/More | Flow/Speed/Pressure/Static Electricity/Corrosion |
ID: Identity.
Example of HAZOP analysis for nodes 2.1.1 and 2.1.2.
| More | Static electricity | Accumulation of static electricity than expected | Circulation of liquid in the valve. | Possible risk of explosion if difference in electrical potential occur. | The faster the speed of flow, the greater charge generated. |
| More | Corrosion | More corrosion of materials than expected | Exposure to corrosive environment. | Uniform deterioration of surface of valve (general corrosion). | The best way to avoid corrosion is to select the most resistant alloy for the valve– depending on the corrosive nature of the fluids. |
| More | Level | More level than expected (overfill) | Faulty level sensor. | Product over flow. | Activate tank vents to reduce or stop emissions of vapour. |
| More | Static electricity | Accumulation of static electricity than expected | Liquid projected by jet. | Production of electrostatic sparks with sufficient energy to cause ignition. | As a safety measure, it is recommended that the filling tube is always below the liquid surface level (meaning that it reaches the floor), or if not possible, the flow should be reduced. |
Figure 4Top event fault tree (1).
Qualitative evaluation of top event (1).
| Top Event (1) Fuel Spill Ship-Terminal Unloading Area | |
|---|---|
| Equations System | Boolean Equation |
| A = B + C | A = (3 × 1) + (4 × 1) + (8 × 1) + (9 × 1) + (5 × 2) + (6 × 2) + (7 × 2) |
| B = D × 1 | |
| C = E × 2 | |
| D = 3 + 4 + F | |
| E = 5 + 6 + 7 | |
| F = 8 + 9 | |
Top event failure frequencies (1).
| Top Event (1) Fuel Spill in Ship-Terminal Area | ||
|---|---|---|
| Basic Event | Description | Failure Frequency (year−1) |
| 1 | Operator failure | 8.8 × 10−2 |
| 2 | Operator distracted | 1.8 × 10−1 |
| 3 | Ship collision with another in transit | 6.0 × 10−4 |
| 4 | Manoeuvring collision against jetty | 3.3 × 10−1 |
| 5 | Corrosion | 4.4 × 10−3 |
| 6 | Badly connected loading arm | 8.8 × 10−1 |
| 7 | Damaged connection caused by inadequate use | 8.8 × 10−2 |
| 8 | Loading arm damaged by inadequate use | 8.8 × 10−2 |
| 9 | Manufacturing defect | 8.8 × 10−3 |
| B | Leakage caused by broken loading arm | 3.7 × 10−2 |
| C | Connection leak | 1.7 × 10−1 |
| A = B + C | Top event (1) | 2.1 × 10−1 |
Results of quantitative analysis.
| Description | Frequency of Failure (year−1) | Importance (%) |
|---|---|---|
| Top event (1): Fuel spill in ship-terminal unloading area | 0.21 | 10.54 |
| Leakage caused by broken loading arm | 0.037 | 2.00 |
| Connection leak | 0.17 | 8.53 |
| Top event (2): Fuel leak in pipelines | 0.0081 | 0.41 |
| Breakage caused by cracking | 0.0061 | 0.31 |
| Undetected leak | 0.0020 | 0.10 |
| Top event (3): Leak in storage tank | 0.075 | 3.76 |
| Overfilling | 0.063 | 3.16 |
| Loss of leak tightness | 0.012 | 0.60 |
| Top event (4): Fuel spill in tank truck loading area | 1.7 | 85.29 |
| Leak caused by broken hose | 0.085 | 5.02 |
| Connection leak | 1.6 | 80.28 |
Sensitivity Analysis for the Top event (1).
| Top Event (1) Fuel Spill Ship-Terminal Unloading Area | |||||||
|---|---|---|---|---|---|---|---|
| Equations System | A = B + C = (3 × 1) + (4 × 1) + (8 × 1) + (9 × 1) + (5 × 2) + (6 × 2) + (7 × 2) | ||||||
| Event 1 | B | C | A | Event 2 | B | C | A |
| 0.1077 | 0.0460 | 0.1698 | 0.2158 | 0.1953 | 0.0375 | 0.1892 | 0.2266 |
| 0.1027 | 0.0439 | 0.1698 | 0.2137 | 0.1903 | 0.0375 | 0.1843 | 0.2218 |
| 0.0977 | 0.0417 | 0.1698 | 0.2115 | 0.1853 | 0.0375 | 0.1795 | 0.2170 |
| 0.0927 | 0.0396 | 0.1698 | 0.2094 | 0.1803 | 0.0375 | 0.1747 | 0.2121 |
| 0.0877 | 0.0375 | 0.1698 | 0.2073 | 0.1753 | 0.0375 | 0.1698 | 0.2073 |
| 0.0827 | 0.0353 | 0.1698 | 0.2051 | 0.1703 | 0.0375 | 0.1650 | 0.2024 |
| 0.0777 | 0.0332 | 0.1698 | 0.2030 | 0.1653 | 0.0375 | 0.1601 | 0.1976 |
| 0.0727 | 0.0310 | 0.1698 | 0.2009 | 0.1603 | 0.0375 | 0.1553 | 0.1927 |
| 0.0677 | 0.0289 | 0.1698 | 0.1987 | 0.1553 | 0.0375 | 0.1504 | 0.1879 |
| Event 3 | B | C | A | Event 4 | B | C | A |
| 0.0008 | 0.0375 | 0.1698 | 0.2073 | 0.3502 | 0.0392 | 0.1698 | 0.2090 |
| 0.0008 | 0.0375 | 0.1698 | 0.2073 | 0.3452 | 0.0388 | 0.1698 | 0.2086 |
| 0.0007 | 0.0375 | 0.1698 | 0.2073 | 0.3402 | 0.0383 | 0.1698 | 0.2081 |
| 0.0007 | 0.0375 | 0.1698 | 0.2073 | 0.3352 | 0.0379 | 0.1698 | 0.2077 |
| 0.0006 | 0.0375 | 0.1698 | 0.2073 | 0.3302 | 0.0375 | 0.1698 | 0.2073 |
| 0.0006 | 0.0374 | 0.1698 | 0.2073 | 0.3252 | 0.0370 | 0.1698 | 0.2068 |
| 0.0005 | 0.0374 | 0.1698 | 0.2073 | 0.3202 | 0.0366 | 0.1698 | 0.2064 |
| 0.0005 | 0.0374 | 0.1698 | 0.2073 | 0.3152 | 0.0361 | 0.1698 | 0.2060 |
| 0.0004 | 0.0374 | 0.1698 | 0.2073 | 0.3102 | 0.0357 | 0.1698 | 0.2055 |
| Event 5 | B | C | A | Event 6 | B | C | A |
| 0.0046 | 0.0375 | 0.1699 | 0.2073 | 0.8966 | 0.0375 | 0.1733 | 0.2108 |
| 0.0045 | 0.0375 | 0.1698 | 0.2073 | 0.8916 | 0.0375 | 0.1724 | 0.2099 |
| 0.0045 | 0.0375 | 0.1698 | 0.2073 | 0.8866 | 0.0375 | 0.1716 | 0.2090 |
| 0.0044 | 0.0375 | 0.1698 | 0.2073 | 0.8816 | 0.0375 | 0.1707 | 0.2081 |
| 0.0044 | 0.0375 | 0.1698 | 0.2073 | 0.8766 | 0.0375 | 0.1698 | 0.2073 |
| 0.0043 | 0.0375 | 0.1698 | 0.2073 | 0.8716 | 0.0375 | 0.1689 | 0.2064 |
| 0.0043 | 0.0375 | 0.1698 | 0.2073 | 0.8666 | 0.0375 | 0.1681 | 0.2055 |
| 0.0042 | 0.0375 | 0.1698 | 0.2072 | 0.8616 | 0.0375 | 0.1672 | 0.2046 |
| 0.0042 | 0.0375 | 0.1698 | 0.2072 | 0.8566 | 0.0375 | 0.1663 | 0.2038 |
| Event 7 | B | C | A | Event 8 | B | C | A |
| 0.0897 | 0.0375 | 0.1702 | 0.2076 | 0.0897 | 0.0376 | 0.1698 | 0.2074 |
| 0.0892 | 0.0375 | 0.1701 | 0.2075 | 0.0892 | 0.0376 | 0.1698 | 0.2074 |
| 0.0887 | 0.0375 | 0.1700 | 0.2074 | 0.0887 | 0.0375 | 0.1698 | 0.2074 |
| 0.0882 | 0.0375 | 0.1699 | 0.2074 | 0.0882 | 0.0375 | 0.1698 | 0.2073 |
| 0.0877 | 0.0375 | 0.1698 | 0.2073 | 0.0877 | 0.0375 | 0.1698 | 0.2073 |
| 0.0872 | 0.0375 | 0.1697 | 0.2072 | 0.0872 | 0.0374 | 0.1698 | 0.2072 |
| 0.0867 | 0.0375 | 0.1696 | 0.2071 | 0.0867 | 0.0374 | 0.1698 | 0.2072 |
| 0.0862 | 0.0375 | 0.1696 | 0.2070 | 0.0862 | 0.0373 | 0.1698 | 0.2071 |
| 0.0857 | 0.0375 | 0.1695 | 0.2069 | 0.0857 | 0.0373 | 0.1698 | 0.2071 |
| Event 9 | B | C | A | ||||
| 0.0090 | 0.0375 | 0.1698 | 0.2073 | ||||
| 0.0089 | 0.0375 | 0.1698 | 0.2073 | ||||
| 0.0089 | 0.0375 | 0.1698 | 0.2073 | ||||
| 0.0088 | 0.0375 | 0.1698 | 0.2073 | ||||
| 0.0088 | 0.0375 | 0.1698 | 0.2073 | ||||
| 0.0087 | 0.0374 | 0.1698 | 0.2073 | ||||
| 0.0087 | 0.0374 | 0.1698 | 0.2073 | ||||
| 0.0086 | 0.0374 | 0.1698 | 0.2073 | ||||
| 0.0086 | 0.0374 | 0.1698 | 0.2073 | ||||
Figure 5Sensitivity Analysis for the Top event (1).
Analysis of Accidents.
| Date | Location | Products Involved | Origin of Accident | Description |
|---|---|---|---|---|
| 2010 | Burosse-Mendousse (France) [ | Oil | Explosion | Explosion of a tank of 1400 m3 containing crude oil. The roof was ejected several meters away and the tank’s base slightly lifted. The most probable ignition source is an electrostatic discharge. |
| 2009 | Bayamón (Puerto Rico) [ | Gasoline, Diesel, Kerosene | Spill | In the plant of the Caribbean Petroleum Corporation (a storage, distribution, and fuel blending service) the failure of the sensor system for filling a gas tank caused a fuel spill that triggered a series of explosions and fires. The disaster affected 18 tanks, destroyed 50% of the plant, and caused considerable damage to the environment and the local area. |
| 2007 | Sløvâg (Norway) [ | Gasoline | Fire | Accident took in the facilities of company Vest Tank AS, on the Sløvâg industrial area. The first explosion took place in a tank where the base–shell weld ruptured and the upper part of the tank was launched up in the air and landed in the north-eastern corner of Tank Farm II. Subsequent explosions and fires destroyed the other tank farm. There were no casualties in the accident. This accident occurred during purification of coker gasoline (reduction of the content of mercaptans). The investigation found that addition of hydrochloric acid during the process reduced the solubility of mercaptans in the solution, leading to the build-up of a flammable mixture. Air filter with activated carbon placed on the roof absorbed mercaptans, leading to a self-ignition and the explosion. |
| 2006 | Spoleto (Italy) [ | Oil | Explosion | An explosion occurred at Umbria Oil plant near Spoleto, Italy, when five workers were welding a structure on the roofs of several tanks. Firstly, one tank containing raw pomace oil exploded, rising up of about 10 m. This first explosion led to a pool fire that spread in the tanks’ park. One hour later, two other tanks exploded, with rupture of the bottom welding, ejecting missiles of 10 tons 80 m away near warehouses storing by-products and packaging materials. Four workers lost their life in this accident. |
| 2006 | Partridge-Raleigh (USA) [ | Petroleum | Explosion | The explosion at Partridge-Raleigh Oilfield was caused by sparks of the welding of pipes that joined tanks. Three workers died and other suffered serious injuries. |
| 2005 | Hertfordshire (England) [ | Gasoline | Spill | In the storage terminal known as “Buncefield depot” 300 tons of gasoline overflowed in a storage tank because of a high-level device failure and the failure of safety device that close the filling valves and raise the alarm. Fire broke out when the gasoline vapour cloud ignited. The ignition source may have been a backup generator, or a spark produced by a vehicle. In total, 20 storage tanks (containing 13.5 million litres each) burned for several days. |
| 2004 | Skikda (Algeria) [ | LNG | Explosion | The steam boiler of the LNG production plant exploded, triggering a second, more massive vapour-cloud explosion and fire. The explosions and fire destroyed a portion of the LNG plant and caused 27 deaths, 74 injuries, and material damage outside the plant’s boundaries. |
| 2003 | Puertollano (Spain) [ | Naphta | Explosion | An explosion in a naphtha tank in the refinery resulted in an intense fire that spread to six other tanks containing 8600 m3 of gasoline. |
| 2003 | Oklahoma (USA) [ | Diesel | Explosion | In a Conoco-Phillips plant a diesel tank exploded with 900 m3 of fuel, triggering a fire that involved three other liquid fuel storage tanks. The cause of the incident was the generation of a volatile mix inside the tank after it was emptied. The likely source of ignition was an electrical discharge from a nearby line. |
| 2001 | Kansas (USA) [ | Crude petroleum | Fire | A worker who was checking the level of oil in a storage tank at night lit a match. The flame ignited vapours and caused a huge explosion. |
| 2000 | Hampshire (United Kingdom) [ | Crude petroleum | Leak | A crack in the bottom of a storage tank of crude oil (caused by corrosion) caused a catastrophic spill of crude oil. |
| 1997 | Ashdod (Israel) [ | Gasoil | Leak | In the tank farm of Ashdod Oil Refinery the explosion of a 15,000 m2 gasoil tank caused loss of one worker. The investigation concluded that a non-complete gasoil stripping with hydrogen at the exit of gasoil hydro treating unit caused penetration of hydrogen inside the tank. The source of ignition was most likely electrostatic spark initiated by synthetic rope used to get samples out the tank. |
| 1995 | Rouseville (USA) [ | Wastewater Tank | Explosion | During a welding operation near the wastewater tank that contained a layer of flammable liquid, sparks ignited flammable vapours at openings in the tank. The deflagration caused the tank to fail at the bottom seam and shoot into the air. Five workers died and fire ignited other tanks and caused loud explosions. |
| 1993 | Port of Tarragona (Spain) [ | Naphta, fuel oil and crude oil | Fire | A Danish petroleum tanker with 22,000 tons of naphtha on board collided with the REPSOL wharf in Tarragona during docking. The collision broke three pipes on the wharf containing naphtha, fuel oil, and crude oil—fire quickly broke out and produced a thick smoke. The combustion wastes contaminated nearby beaches. REPSOL estimated that damage to the wharf totalled the equivalent of €18 million. |
| 1988 | Santander (Spain) [ | Diesel | Fire | A fire started during cleaning operations in an empty oil tank at a CAMPSA (now CLH) plant. |
| 1987 | Lyon (France) [ | Gasoline and kerosene | Fire | A fire started in an enlarged Shell terminal holding up to 43,000 m3 of Class B oil products (gasoline and kerosene among others) and Class D products (asphalt). Nearly 7000 m3 of products were burned, two people dead, and 16 were seriously injured. The causes are unknown, although it is known that changes were being made to the wiring system. |
| 1986 | Thessaloniki (Greece) [ | Fuel-oil | Leak | A fire caused by a fuel oil leak in an ESSO Pappas terminal set 10 of the 12 storage tanks ablaze. The fire lasted eight days, extended over 75% of the total area of the terminal, and destroyed the stationary fire-fighting system, as well as the systems controlling pumps and loading. The fire started during maintenance work after a leak in a tank went undetected. |
| 1985 | Port of Naples (Italy) [ | Gasoline | Spill | At an AGIP plant a cloud of gasoline vapour exploded and damaged nearby houses. Windows broke up to 600 meters away. Tanks of gasoline, kerosene, and diesel were set on fire. The incident resulted in four deaths and 170 injuries. Twenty-four of the 32 storage tanks were affected. The probable cause was an accident when unloading a ship or a storage tank overflow. |
| 1983 | New Jersey (USA) [ | Gasoline | Spill | An overfilled floating roof tank spilled 1300 barrels of gasoline. The resulting explosion destroyed two storage tanks and a neighbouring terminal. A cloud of vapour was blown to a nearby incinerator and set it on fire as well. |
| 1979 | Duisburg (Germany) [ | Gasoil | Fire | In the river port area, a fire started in the storage area with 24 diesel and fuel oil storage tanks of between 1500 and 4700 m3 capacity. The accident occurred during the renovation of thermal insulation of the storage tanks. |
| 1978 | Stockton (USA) [ | Gasoline and additives | Leak | A fire broke out in a plant with eight large tanks of petroleum products. Two of the gasoline storage tanks caught fire as well as various tanks containing additives. All stocks of foam within 90 km were used. The origin was a leak from a gasoline tank that produced a cloud of vapour which travelled about 220 m and came into contact with a water heater in a nearby yard. |
LNG: Liquefied Natural Gas.
Qualitative evaluation of top event (2).
| Top Event (2) Fuel Leak in Pipelines | |
|---|---|
| Equations System | Boolean Equation |
| A = B + C | A = 1 + 2 + 3 + (5 × 4) + (6 × 4) + (7 × 4) |
| B = 1 + 2 + 3 | |
| C = D × 4 | |
| D = 5 + 6 + 7 | |
Top event failure frequencies (2).
| Top Event (2) Fuel Leak in Pipelines | ||
|---|---|---|
| Basic Event | Description | Failure Frequency (year−1) |
| 1 | Corrosion | 4.4 × 10−3 |
| 2 | Vehicles collision | 8.8 × 10−4 |
| 3 | Fatigue defect | 8.8 × 10−4 |
| 4 | Operator distracted | 1.8 × 10−3 |
| 5 | Pressure probe failure | 4.1 × 10−2 |
| 6 | Signal transmission failure | 8.8 × 10−1 |
| 7 | Valve shut-off response failure | 2.2 × 10−1 |
| D | Failure control leakage | 1.14 × 100 |
| C | Undetected leak | 2.0 × 10−3 |
| B | Breakage caused by cracking | 6.1 × 10−3 |
| A = B + C | Top event (2) | 8.1 × 10−3 |
Qualitative evaluation of top event (3).
| Top Event (3) Leak in Storage Tank | |
|---|---|
| Equations System | Boolean Equation |
| A = B + C | A = (2 × 1) + (3 × 1) + (4 × 1) + 5 + 6 + 7 + 8 + 9 |
| B = D × 1 | |
| C = E + F | |
| D = 2 + 3 + 4 | |
| E = 5 + 6 | |
| F = 7 + 8 + 9 | |
Top event failure frequencies (3).
| Top Event (3) Leak in Storage Tank | ||
|---|---|---|
| Basic Event | Description | Failure Frequency (year−1) |
| 1 | Operator failure | 8.8 × 10−2 |
| 2 | Sensor level failure | 4.1 × 10−1 |
| 3 | Valve shut-off response failure | 2.2 × 10−1 |
| 4 | Acoustic signal failure | 8.8 × 10−2 |
| 5 | Reinforcement breaking | 2.2 × 10−3 |
| 6 | Tank breaking | 2.2 × 10−3 |
| 7 | Corrosion | 4.4 × 10−3 |
| 8 | Insufficient revisions | 1.8 × 10−3 |
| 9 | Operator failure | 1.8 × 10−3 |
| F | Crack formation leak | 8.0 × 10−3 |
| E | Catastrophic tank rupture | 4.4 × 10−3 |
| D | Level control failure | 7.2 × 10−1 |
| C | Loss of leak tightness | 1.2 × 10−2 |
| B | Overfilling | 6.3 × 10−2 |
| A = B + C | Top event (3) | 7.5 × 10−2 |
Qualitative evaluation of top event (4).
| Top Event (4) Fuel Spill in Tank Truck Loading Area | |
|---|---|
| Equations System | Boolean Equation |
| A = B + C | A = (3 × 1) + (4 × 1) + (5 × 1) + (2 × 6) + (2 × 7) + (2 × 8) |
| B = D × 1 | |
| C = 2 × E | |
| D = 3 + 4 + 5 | |
| E = 6 + 7 + 8 | |
Top event failure frequencies (4).
| Top Event (4) Fuel Spill in Tank Truck Loading Area | ||
|---|---|---|
| Basic Event | Description | Failure Frequency (year−1) |
| 1 | Operator failure | 8.8 × 10−1 |
| 2 | Hose incorrectly connected | 8.8 × 10−1 |
| 3 | Collision against hose | 8.8 × 10−4 |
| 4 | Hose defects due to misuse | 8.8 × 10−2 |
| 5 | Manufacturing effects | 8.8 × 10−3 |
| 6 | Incorrect alarm response | 8.8 × 10−1 |
| 7 | Acoustic signal failure | 8.8 × 10−1 |
| 8 | Manual shut-off valve sticking | 1.0 × 10−1 |
| E | Emergency action failure | 1.86 × 100 |
| D | Broken Hose | 9.7 × 10−2 |
| C | Connection leak | 1.63 × 100 |
| B | Leak caused by broken hose | 8.5 × 10−3 |
| A = B + C | Top event (4) | 1.7 × 100 |
Sensitivity Analysis for the Top event (2).
| Top Event (2) Fuel Leak in Pipelines | |||||||
|---|---|---|---|---|---|---|---|
| Equations System | A = B + C = (1 + 2 + 3 + (5 × 4) + (6 × 4) + (7 × 4) | ||||||
| Event 1 | B | C | A | Event 2 | B | C | A |
| 0.0064 | 0.0081 | 0.0020 | 0.0101 | 0.0011 | 0.0063 | 0.0020 | 0.0083 |
| 0.0059 | 0.0076 | 0.0020 | 0.0096 | 0.0010 | 0.0063 | 0.0020 | 0.0083 |
| 0.0054 | 0.0071 | 0.0020 | 0.0091 | 0.0010 | 0.0062 | 0.0020 | 0.0082 |
| 0.0049 | 0.0066 | 0.0020 | 0.0086 | 0.0009 | 0.0062 | 0.0020 | 0.0082 |
| 0.0044 | 0.0061 | 0.0020 | 0.0081 | 0.0009 | 0.0061 | 0.0020 | 0.0081 |
| 0.0039 | 0.0056 | 0.0020 | 0.0076 | 0.0008 | 0.0061 | 0.0020 | 0.0081 |
| 0.0034 | 0.0051 | 0.0020 | 0.0071 | 0.0008 | 0.0060 | 0.0020 | 0.0080 |
| 0.0029 | 0.0046 | 0.0020 | 0.0066 | 0.0007 | 0.0060 | 0.0020 | 0.0080 |
| 0.0024 | 0.0041 | 0.0020 | 0.0061 | 0.0007 | 0.0059 | 0.0020 | 0.0079 |
| Event 3 | B | C | A | Event 4 | B | C | A |
| 0.0011 | 0.0063 | 0.0020 | 0.0083 | 0.0020 | 0.0061 | 0.0022 | 0.0083 |
| 0.0010 | 0.0063 | 0.0020 | 0.0083 | 0.0019 | 0.0061 | 0.0022 | 0.0083 |
| 0.0010 | 0.0062 | 0.0020 | 0.0082 | 0.0019 | 0.0061 | 0.0021 | 0.0082 |
| 0.0009 | 0.0062 | 0.0020 | 0.0082 | 0.0018 | 0.0061 | 0.0021 | 0.0082 |
| 0.0009 | 0.0061 | 0.0020 | 0.0081 | 0.0018 | 0.0061 | 0.0020 | 0.0081 |
| 0.0008 | 0.0061 | 0.0020 | 0.0081 | 0.0017 | 0.0061 | 0.0019 | 0.0081 |
| 0.0008 | 0.0060 | 0.0020 | 0.0080 | 0.0017 | 0.0061 | 0.0019 | 0.0080 |
| 0.0007 | 0.0060 | 0.0020 | 0.0080 | 0.0016 | 0.0061 | 0.0018 | 0.0079 |
| 0.0007 | 0.0059 | 0.0020 | 0.0079 | 0.0016 | 0.0061 | 0.0018 | 0.0079 |
| Event 5 | B | C | A | Event 6 | B | C | A |
| 0.0432 | 0.0061 | 0.0020 | 0.0081 | 0.8966 | 0.0061 | 0.0020 | 0.0081 |
| 0.0427 | 0.0061 | 0.0020 | 0.0081 | 0.8916 | 0.0061 | 0.0020 | 0.0081 |
| 0.0422 | 0.0061 | 0.0020 | 0.0081 | 0.8866 | 0.0061 | 0.0020 | 0.0081 |
| 0.0417 | 0.0061 | 0.0020 | 0.0081 | 0.8816 | 0.0061 | 0.0020 | 0.0081 |
| 0.0412 | 0.0061 | 0.0020 | 0.0081 | 0.8766 | 0.0061 | 0.0020 | 0.0081 |
| 0.0407 | 0.0061 | 0.0020 | 0.0081 | 0.8716 | 0.0061 | 0.0020 | 0.0081 |
| 0.0402 | 0.0061 | 0.0020 | 0.0081 | 0.8666 | 0.0061 | 0.0020 | 0.0081 |
| 0.0397 | 0.0061 | 0.0020 | 0.0081 | 0.8616 | 0.0061 | 0.0020 | 0.0081 |
| 0.0392 | 0.0061 | 0.0020 | 0.0081 | 0.8566 | 0.0061 | 0.0020 | 0.0081 |
| Event 7 | B | C | A | ||||
| 0.2212 | 0.0061 | 0.0020 | 0.0081 | ||||
| 0.2207 | 0.0061 | 0.0020 | 0.0081 | ||||
| 0.2202 | 0.0061 | 0.0020 | 0.0081 | ||||
| 0.2197 | 0.0061 | 0.0020 | 0.0081 | ||||
| 0.2192 | 0.0061 | 0.0020 | 0.0081 | ||||
| 0.2187 | 0.0061 | 0.0020 | 0.0081 | ||||
| 0.2182 | 0.0061 | 0.0020 | 0.0081 | ||||
| 0.2177 | 0.0061 | 0.0020 | 0.0081 | ||||
| 0.2172 | 0.0061 | 0.0020 | 0.0081 | ||||
Sensitivity Analysis for the Top event (3).
| Top Event (3) Leak in Storage Tank | |||||||
|---|---|---|---|---|---|---|---|
| Equations System | A = B + C = (2 × 1) + (3 × 1) + (4 × 1) + 5 + 6 + 7 + 8 + 9 | ||||||
| Event 1 | B | C | A | Event 2 | B | C | A |
| 0.1077 | 0.0774 | 0.0123 | 0.0896 | 0.4320 | 0.0648 | 0.0123 | 0.0770 |
| 0.1027 | 0.0738 | 0.0123 | 0.0860 | 0.4270 | 0.0643 | 0.0123 | 0.0766 |
| 0.0977 | 0.0702 | 0.0123 | 0.0825 | 0.4220 | 0.0639 | 0.0123 | 0.0761 |
| 0.0927 | 0.0666 | 0.0123 | 0.0789 | 0.4170 | 0.0634 | 0.0123 | 0.0757 |
| 0.0877 | 0.0630 | 0.0123 | 0.0753 | 0.4120 | 0.0630 | 0.0123 | 0.0753 |
| 0.0827 | 0.0594 | 0.0123 | 0.0717 | 0.4070 | 0.0626 | 0.0123 | 0.0748 |
| 0.0777 | 0.0558 | 0.0123 | 0.0681 | 0.4020 | 0.0621 | 0.0123 | 0.0744 |
| 0.0727 | 0.0522 | 0.0123 | 0.0645 | 0.3970 | 0.0617 | 0.0123 | 0.0740 |
| 0.0677 | 0.0486 | 0.0123 | 0.0609 | 0.3920 | 0.0613 | 0.0123 | 0.0735 |
| Event 3 | B | C | A | Event 4 | B | C | A |
| 0.2392 | 0.0648 | 0.0123 | 0.0770 | 0.0897 | 0.0632 | 0.0123 | 0.0754 |
| 0.2342 | 0.0643 | 0.0123 | 0.0766 | 0.0892 | 0.0631 | 0.0123 | 0.0754 |
| 0.2292 | 0.0639 | 0.0123 | 0.0761 | 0.0887 | 0.0631 | 0.0123 | 0.0754 |
| 0.2242 | 0.0634 | 0.0123 | 0.0757 | 0.0882 | 0.0631 | 0.0123 | 0.0753 |
| 0.2192 | 0.0630 | 0.0123 | 0.0753 | 0.0877 | 0.0630 | 0.0123 | 0.0753 |
| 0.2142 | 0.0626 | 0.0123 | 0.0748 | 0.0872 | 0.0630 | 0.0123 | 0.0752 |
| 0.2092 | 0.0621 | 0.0123 | 0.0744 | 0.0867 | 0.0629 | 0.0123 | 0.0752 |
| 0.2042 | 0.0617 | 0.0123 | 0.0740 | 0.0862 | 0.0629 | 0.0123 | 0.0751 |
| 0.1992 | 0.0613 | 0.0123 | 0.0735 | 0.0857 | 0.0628 | 0.0123 | 0.0751 |
| Event 5 | B | C | A | Event 6 | B | C | A |
| 0.00239 | 0.0630 | 0.01246 | 0.07547 | 0.0024 | 0.0630 | 0.01246 | 0.07547 |
| 0.00234 | 0.0630 | 0.01241 | 0.07542 | 0.0023 | 0.0630 | 0.01241 | 0.07542 |
| 0.00229 | 0.0630 | 0.01236 | 0.07537 | 0.0023 | 0.0630 | 0.01236 | 0.07537 |
| 0.00224 | 0.0630 | 0.01231 | 0.07532 | 0.0022 | 0.0630 | 0.01231 | 0.07532 |
| 0.00219 | 0.0630 | 0.01226 | 0.07527 | 0.0022 | 0.0630 | 0.01226 | 0.07527 |
| 0.00214 | 0.0630 | 0.01221 | 0.07522 | 0.0021 | 0.0630 | 0.01221 | 0.07522 |
| 0.00209 | 0.0630 | 0.01216 | 0.07517 | 0.0021 | 0.0630 | 0.01216 | 0.07517 |
| 0.00204 | 0.0630 | 0.01211 | 0.07512 | 0.0020 | 0.0630 | 0.01211 | 0.07512 |
| 0.00199 | 0.0630 | 0.01206 | 0.07507 | 0.0020 | 0.0630 | 0.01206 | 0.07507 |
| Event 7 | B | C | A | Event 8 | B | C | A |
| 0.00457 | 0.0630 | 0.01246 | 0.07547 | 0.00195 | 0.0630 | 0.01246 | 0.07547 |
| 0.00452 | 0.0630 | 0.01241 | 0.07542 | 0.00190 | 0.0630 | 0.01241 | 0.07542 |
| 0.00447 | 0.0630 | 0.01236 | 0.07537 | 0.00185 | 0.0630 | 0.01236 | 0.07537 |
| 0.00442 | 0.0630 | 0.01231 | 0.07532 | 0.00180 | 0.0630 | 0.01231 | 0.07532 |
| 0.00437 | 0.0630 | 0.01226 | 0.07527 | 0.00175 | 0.0630 | 0.01226 | 0.07527 |
| 0.00432 | 0.0630 | 0.01221 | 0.07522 | 0.00170 | 0.0630 | 0.01221 | 0.07522 |
| 0.00427 | 0.0630 | 0.01216 | 0.07517 | 0.00165 | 0.0630 | 0.01216 | 0.07517 |
| 0.00422 | 0.0630 | 0.01211 | 0.07512 | 0.00160 | 0.0630 | 0.01211 | 0.07512 |
| 0.00417 | 0.0630 | 0.01206 | 0.07507 | 0.00155 | 0.0630 | 0.01206 | 0.07507 |
| Event 9 | B | C | A | ||||
| 0.00195 | 0.0630 | 0.01246 | 0.07547 | ||||
| 0.00190 | 0.0630 | 0.01241 | 0.07542 | ||||
| 0.00185 | 0.0630 | 0.01236 | 0.07537 | ||||
| 0.00180 | 0.0630 | 0.01231 | 0.07532 | ||||
| 0.00175 | 0.0630 | 0.01226 | 0.07527 | ||||
| 0.00170 | 0.0630 | 0.01221 | 0.07522 | ||||
| 0.00165 | 0.0630 | 0.01216 | 0.07517 | ||||
| 0.00160 | 0.0630 | 0.01211 | 0.07512 | ||||
| 0.00155 | 0.0630 | 0.01206 | 0.07507 | ||||
Sensitivity Analysis for the Top event (4).
| Top Event (4) Fuel Spill in Tank Truck Loading Area | |||||||
|---|---|---|---|---|---|---|---|
| Equations System | A = B + C = (3 × 1) + (4 × 1) + (5 × 1) + (2 × 6) + (2 × 7) + (2 × 8) | ||||||
| Event 1 | B | C | A | Event 2 | B | C | A |
| 0.8966 | 0.0872 | 1.6246 | 1.7118 | 0.8966 | 0.0853 | 1.6616 | 1.7469 |
| 0.8916 | 0.0868 | 1.6246 | 1.7113 | 0.8916 | 0.0853 | 1.6524 | 1.7377 |
| 0.8866 | 0.0863 | 1.6246 | 1.7108 | 0.8866 | 0.0853 | 1.6431 | 1.7284 |
| 0.8816 | 0.0858 | 1.6246 | 1.7104 | 0.8816 | 0.0853 | 1.6338 | 1.7191 |
| 0.8766 | 0.0853 | 1.6246 | 1.7099 | 0.8766 | 0.0853 | 1.6246 | 1.7099 |
| 0.8716 | 0.0848 | 1.6246 | 1.7094 | 0.8716 | 0.0853 | 1.6153 | 1.7006 |
| 0.8666 | 0.0843 | 1.6246 | 1.7089 | 0.8666 | 0.0853 | 1.6060 | 1.6913 |
| 0.8616 | 0.0838 | 1.6246 | 1.7084 | 0.8616 | 0.0853 | 1.5968 | 1.6821 |
| 0.8566 | 0.0833 | 1.6246 | 1.7079 | 0.8566 | 0.0853 | 1.5875 | 1.6728 |
| Event 3 | B | C | A | Event 4 | B | C | A |
| 0.00090 | 0.08531 | 1.6246 | 1.70989 | 0.0897 | 0.0870 | 1.6246 | 1.7116 |
| 0.00089 | 0.08531 | 1.6246 | 1.70988 | 0.0892 | 0.0866 | 1.6246 | 1.7112 |
| 0.00089 | 0.08530 | 1.6246 | 1.70988 | 0.0887 | 0.0862 | 1.6246 | 1.7107 |
| 0.00093 | 0.08534 | 1.6246 | 1.70991 | 0.0927 | 0.0897 | 1.6246 | 1.7143 |
| 0.00088 | 0.08530 | 1.6246 | 1.70987 | 0.0877 | 0.0853 | 1.6246 | 1.7099 |
| 0.00087 | 0.08529 | 1.6246 | 1.70987 | 0.0872 | 0.0849 | 1.6246 | 1.7094 |
| 0.00087 | 0.08529 | 1.6246 | 1.70986 | 0.0867 | 0.0844 | 1.6246 | 1.7090 |
| 0.00086 | 0.08528 | 1.6246 | 1.70986 | 0.0862 | 0.0840 | 1.6246 | 1.7086 |
| 0.00086 | 0.08528 | 1.6246 | 1.70985 | 0.0857 | 0.0835 | 1.6246 | 1.7081 |
| Event 5 | B | C | A | Event 6 | B | C | A |
| 0.0090 | 0.0855 | 1.6246 | 1.7100 | 0.8966 | 0.0853 | 1.6421 | 1.7274 |
| 0.0089 | 0.0854 | 1.6246 | 1.7100 | 0.8916 | 0.0853 | 1.6377 | 1.7230 |
| 0.0089 | 0.0854 | 1.6246 | 1.7100 | 0.8866 | 0.0853 | 1.6333 | 1.7186 |
| 0.0093 | 0.0857 | 1.6246 | 1.7103 | 0.8816 | 0.0853 | 1.6290 | 1.7143 |
| 0.0088 | 0.0853 | 1.6246 | 1.7099 | 0.8766 | 0.0853 | 1.6246 | 1.7099 |
| 0.0083 | 0.0849 | 1.6246 | 1.7094 | 0.8716 | 0.0853 | 1.6202 | 1.7055 |
| 0.0078 | 0.0844 | 1.6246 | 1.7090 | 0.8666 | 0.0853 | 1.6158 | 1.7011 |
| 0.0073 | 0.0840 | 1.6246 | 1.7086 | 0.8616 | 0.0853 | 1.6114 | 1.6967 |
| 0.0068 | 0.0835 | 1.6246 | 1.7081 | 0.8566 | 0.0853 | 1.6070 | 1.6923 |
| Event 7 | B | C | A | Event 8 | B | C | A |
| 0.8966 | 0.0853 | 1.6421 | 1.7274 | 0.1201 | 0.0853 | 1.6421 | 1.7274 |
| 0.8916 | 0.0853 | 1.6377 | 1.7230 | 0.1151 | 0.0853 | 1.6377 | 1.7230 |
| 0.8866 | 0.0853 | 1.6333 | 1.7186 | 0.1101 | 0.0853 | 1.6333 | 1.7186 |
| 0.8816 | 0.0853 | 1.6290 | 1.7143 | 0.1051 | 0.0853 | 1.6290 | 1.7143 |
| 0.8766 | 0.0853 | 1.6246 | 1.7099 | 0.1001 | 0.0853 | 1.6246 | 1.7099 |
| 0.8716 | 0.0853 | 1.6202 | 1.7055 | 0.0951 | 0.0853 | 1.6202 | 1.7055 |
| 0.8666 | 0.0853 | 1.6158 | 1.7011 | 0.0901 | 0.0853 | 1.6158 | 1.7011 |
| 0.8616 | 0.0853 | 1.6114 | 1.6967 | 0.0851 | 0.0853 | 1.6114 | 1.6967 |
| 0.8566 | 0.0853 | 1.6070 | 1.6923 | 0.0801 | 0.0853 | 1.6070 | 1.6923 |