SafetyBarrier

i

Viewer

Validation examples.sbmx

Case A

Case A AND gate Case A AND* Condition 1 Case A Condition 1 Case A 0.6 Condition 2 Case A Condition 2 Case A 0.5 Condition 3 Case A Condition 3 Case A 0.4 Result Case A Result Case A 0.12
Case A (This Diagram has no Measures assigned) AND gate Case A AND* Condition 1 Case A Condition 1 Case A 0.6 Condition 2 Case A Condition 2 Case A 0.5 Condition 3 Case A Condition 3 Case A 0.4 Result Case A Result Case A 0.12

Case B

Case B OR Gate Case B OR+ Condition 1 Case B Condition 1 Case B 0.6 Condition 2 Case B Condition 2 Case B 0.5 Condition 3 Case B Condition 3 Case B 0.4 Result Case B Result Case B 0.88
Case B (This Diagram has no Measures assigned) OR Gate Case B OR+ Condition 1 Case B Condition 1 Case B 0.6 Condition 2 Case B Condition 2 Case B 0.5 Condition 3 Case B Condition 3 Case B 0.4 Result Case B Result Case B 0.88

Case C

Case C OR Gate Case C OR+ Event 1 Case C Event 1 Case C 0.6 /h Event 2 Case C Event 2 Case C 0.5 /h Event 3 Case C Event 3 Case C 0.4 /h Result Case C Result Case C 1.5 /h
Case C (This Diagram has no Measures assigned) OR Gate Case C OR+ Event 1 Case C Event 1 Case C 0.6 /h Event 2 Case C Event 2 Case C 0.5 /h Event 3 Case C Event 3 Case C 0.4 /h Result Case C Result Case C 1.5 /h

Case D

Case D AND gate Case D AND* Condition 1 Case D Condition 1 Case D 0.6 Condition 2 Case D Condition 2 Case D 0.5 Event Case D Event Case D 0.4 /h Result Case D Result Case D 0.12 /h
Case D (This Diagram has no Measures assigned) AND gate Case D AND* Condition 1 Case D Condition 1 Case D 0.6 Condition 2 Case D Condition 2 Case D 0.5 Event Case D Event Case D 0.4 /h Result Case D Result Case D 0.12 /h

Case E

Case E AND gate E2 AND* AND gate E1 AND* AND gate E3 AND* Event Case E Event Case E 0.4 /h Condition 1 Case D Condition 1 Case D 0.6 Condition 2 Case D Condition 2 Case D 0.5 Event E1 Event E1 0.24 /h Event E2 Event E2 0.2 /h Result Case E Result Case E 0.12 /h
Case E (This Diagram has no Measures assigned) AND gate E2 AND* AND gate E1 AND* AND gate E3 AND* Event Case E Event Case E 0.4 /h Condition 1 Case D Condition 1 Case D 0.6 Condition 2 Case D Condition 2 Case D 0.5 Event E1 Event E1 0.24 /h Event E2 Event E2 0.2 /h Result Case E Result Case E 0.12 /h

Project

NAME: Validation examples.sbmx
DESCRIPTION
These diagrams (fault trees) demonstrate the logical rules for fault trees. The top events (events on the right-hand site) include an explanation of the results in their "descriptions".

Initial Condition

NAME: Condition 1 Case A
Probability or Time fraction (<1): 0.6

Initial Condition

NAME: Condition 2 Case A
Probability or Time fraction (<1): 0.5

Initial Condition

NAME: Condition 3 Case A
Probability or Time fraction (<1): 0.4

Consequence

NAME: Result Case A
Probability or Time fraction (<1): 0.12
DESCRIPTION

Initial Condition

NAME: Condition 1 Case B
Probability or Time fraction (<1): 0.6

Initial Condition

NAME: Condition 2 Case B
Probability or Time fraction (<1): 0.5

Initial Condition

NAME: Condition 3 Case B
Probability or Time fraction (<1): 0.4

Consequence

NAME: Result Case B
Probability or Time fraction (<1): 0.88
DESCRIPTION

Initial Event

NAME: Event 1 Case C
Expected Frequency of Occurrence per Hour: 0.6

Initial Event

NAME: Event 2 Case C
Expected Frequency of Occurrence per Hour: 0.5

Initial Event

NAME: Event 3 Case C
Expected Frequency of Occurrence per Hour: 0.4

Consequence

NAME: Result Case C
Expected Frequency of Occurrence per Hour: 1.5
DESCRIPTION

Initial Condition

NAME: Condition 1 Case D
Probability or Time fraction (<1): 0.6

Initial Condition

NAME: Condition 2 Case D
Probability or Time fraction (<1): 0.5

Initial Event

NAME: Event Case D
Expected Frequency of Occurrence per Hour: 0.4

Consequence

NAME: Result Case D
Expected Frequency of Occurrence per Hour: 0.12
DESCRIPTION



NAME: Copy of Condition 1 Case D
Probability or Time fraction (<1): 0.6



NAME: Copy of Condition 2 Case D
Probability or Time fraction (<1): 0.5

Initial Event

NAME: Event Case E
Expected Frequency of Occurrence per Hour: 0.4

Consequence

NAME: Result Case E
Expected Frequency of Occurrence per Hour: 0.12
DESCRIPTION

Intermediate Event

NAME: Event E1
Expected Frequency of Occurrence per Hour: 0.24

Intermediate Event

NAME: Event E2
Expected Frequency of Occurrence per Hour: 0.2

Barrier Diagram

NAME: Case A
DESCRIPTION
validation of the faultr tree assessment of an AND gate

AND Gate

NAME: AND gate Case A

Barrier Diagram

NAME: Case B
DESCRIPTION
validation of the faultr tree assessment of an OR gate

OR Gate

NAME: OR Gate Case B

Barrier Diagram

NAME: Case C
DESCRIPTION
validation of the faultr tree assessment of an OR gate using Events
Events as a "change of condition" can not be concurrent (probability of concurrent events is the limit approaching 0)

OR Gate

NAME: OR Gate Case C

Barrier Diagram

NAME: Case D
DESCRIPTION
validation of the faultr tree assessment of an AND gate with an event input

AND Gate

NAME: AND gate Case D

Barrier Diagram

NAME: Case E
DESCRIPTION
Validation of the faultr tree assessment of an AND gate with events orginating from the same event. This demonstrates also that one diagram can share inputs (Conditions from Case D) as inputs

AND Gate

NAME: AND gate E2

AND Gate

NAME: AND gate E1

AND Gate

NAME: AND gate E3

Consequences

Barrier Diagram Consequence Prob./Expected Freq. (Unit) Severity
Case A Result Case A 0.12 Probability or Time fraction (<1)  
Case B Result Case B 0.88 Probability or Time fraction (<1)  
Case C Result Case C 1.5 Expected Frequency of Occurrence per Hour  
Case D Result Case D 0.12 Expected Frequency of Occurrence per Hour  
Case E Result Case E 0.12 Expected Frequency of Occurrence per Hour  

Critical Events

Barrier Diagram Critical Event Prob./Expected Freq. (Unit)

Risk Matrix

  Expected Frequency of Occurrence per Hour 0: No Consequences 1: Insignificant Consequences 2: Noticeable Consequences 3: Significant Consequences 4: Serious Consequences 5.1: Major Accident - <10 fatalities/limited damage to the environment 5.2: Major Accident - >10 fatalities/extensive damage to the environment
Frequent More likely than: 1.14155E-5              
Probable Less likely than: 1.14155E-5              
Improbable Less likely than: 1.14155E-7              
Very Improbable Less likely than: 1.14155E-9              

Barriers

Barrier Barrier Diagram Generic Barrier Barrier Type PFD Description Generic Management Issue
            Weight Rating

Generic Barriers

Generic Barrier Barrier Type PFD Description Generic Management Issue
        Weight Rating

Barrier Types

Barrier Type Description Generic Management Issue
    Weight Rating
Generic Barrier Type This Minimum template only contains one Generic Barrier Type Please create more Barrier Types as required    

Common Elements

Barrier Element PFD Description Generic Management Issue
      Weight Rating

Gates

Gate Barrier Diagram Gate Type Description
       
AND gate Case A Case A AND Gate  
OR Gate Case B Case B OR Gate  
OR Gate Case C Case C OR Gate  
AND gate Case D Case D AND Gate  
AND gate E2 Case E AND Gate  
AND gate E1 Case E AND Gate  
AND gate E3 Case E AND Gate  

Conditions

Condition Condition Type Freq. or Prob. Unit Description Severity
Condition 1 Case A Initial Condition 0.6 Probability or Time fraction (<1)    
Condition 2 Case A Initial Condition 0.5 Probability or Time fraction (<1)    
Condition 3 Case A Initial Condition 0.4 Probability or Time fraction (<1)    
Result Case A Consequence 0.12 Probability or Time fraction (<1) The probability of the logical "AND" combination of 3 inputs is the multiplication of the probabilities, so in this case 0.6 * 0.5 * 0.4 = 0.12  
Condition 1 Case B Initial Condition 0.6 Probability or Time fraction (<1)    
Condition 2 Case B Initial Condition 0.5 Probability or Time fraction (<1)    
Condition 3 Case B Initial Condition 0.4 Probability or Time fraction (<1)    
Result Case B Consequence 0.88 Probability or Time fraction (<1) The probability of the logical "OR" combination of 3 inputs is: The sum of the probabilities of the three conditions (0.6 + 0.5 + 0.4 (= 1.5) ) Minus the probabilities that 1 AND 2 plus 2 AND 3 plus 3 AND 1 are appearing i.e. - [ ( 0.6 * 0.5 ) + ( 0.5 * 0.4 ) + ( 0.4 * 0.6 ) (= 0.74) ] Plus the probability that all three conditions are appearing + (0.6 * 0.5 * 0.4 (=0.12, case A)) total 0.88  
Event 1 Case C Initial Event 0.6 Expected Frequency of Occurrence per Hour    
Event 2 Case C Initial Event 0.5 Expected Frequency of Occurrence per Hour    
Event 3 Case C Initial Event 0.4 Expected Frequency of Occurrence per Hour    
Result Case C Consequence 1.5 Expected Frequency of Occurrence per Hour Events (change in conditions, where the duration of the change is infinitively short) cannot be concurrent (probability of to conditions zero duration is zero), derfor there is no discounting for concurrent occurrence of events. The expected frequency of the logical "OR" combination of 3 events is: The sum of the frequencies of the three events 0.6 + 0.5 + 0.4 = 1.5 events per unit time  
Condition 1 Case D Initial Condition 0.6 Probability or Time fraction (<1)    
Condition 2 Case D Initial Condition 0.5 Probability or Time fraction (<1)    
Event Case D Initial Event 0.4 Expected Frequency of Occurrence per Hour    
Result Case D Consequence 0.12 Expected Frequency of Occurrence per Hour One (and only one) of the inputs of an AND gate can be an event (a "change of condition" where the duration of the change is infinitely short) The frequency of the outcome event of the logical "AND" combination of 2 input condition and one input event is the multiplication of the probabilities of the conditions and the frequency of the event, so in this case 0.6 * 0.5 * 0.4 times/hour= 0.12 times/hour.  
Copy of Condition 1 Case D Not used in any diagram 0.6 Probability or Time fraction (<1)    
Copy of Condition 2 Case D Not used in any diagram 0.5 Probability or Time fraction (<1)    
Event Case E Initial Event 0.4 Expected Frequency of Occurrence per Hour    
Result Case E Consequence 0.12 Expected Frequency of Occurrence per Hour If and only if the events halfway a diagram originate from the same event, then the program allows that those event may be simultaneous inputs to an AND gate. Indeed _simultaneous_, because these events will then occur together. Note that the logical condition is exactly the same as in case D (The result occurs when the Originating event AND Condition 1 Case D AND Condition 2 Case D occur) .  
Event E1 Intermediate Event 0.24 Expected Frequency of Occurrence per Hour    
Event E2 Intermediate Event 0.2 Expected Frequency of Occurrence per Hour    

Measures

Measure Description Applies to: Barriers Applies to: Initial Conditions Management Issue

Management Issues

Management Issue Performance Description
Generic Management Issue 1 This Minimum Template only contains one Management Issue Create more Management Issues as required

Barrier Diagrams

Diagram Name Number of: Barriers Number of: Gates Number of: Event Tree Branches Description
Case A 0 1 0 validation of the faultr tree assessment of an AND gate
Case B 0 1 0 validation of the faultr tree assessment of an OR gate
Case C 0 1 0 validation of the faultr tree assessment of an OR gate using Events Events as a "change of condition" can not be concurrent (probability of concurrent events is the limit approaching 0)
Case D 0 1 0 validation of the faultr tree assessment of an AND gate with an event input
Case E 0 3 0 Validation of the faultr tree assessment of an AND gate with events orginating from the same event. This demonstrates also that one diagram can share inputs (Conditions from Case D) as inputs

Event Tree Branches

Event Tree Branch Name Diagram Name Number of: Event Tree Branches Event Tree Branches & Probability Description