Encounter Probability Solution

STEP 0: Pre-Calculation Summary
Formula Used
Encounter Probability = 1-(1-(Time Interval associated with each Data Point/Return Period of Wind))^(Desired Time Period)
Pe = 1-(1-(t/Tr))^(L)
This formula uses 4 Variables
Variables Used
Encounter Probability - Encounter Probability is the likelihood that waves with significant wave height (Hs) equal to or greater than a specified value (Hs^s) will occur during the design life or a specified period.
Time Interval associated with each Data Point - Time Interval associated with each Data Point refers to the data that have a time interval associated with them during which they are valid.
Return Period of Wind - Return Period of Wind is an average time or an estimated average time between events such as winds.
Desired Time Period - Desired Time Period refers to the specific span of time over which you want to analyze and average the data.
STEP 1: Convert Input(s) to Base Unit
Time Interval associated with each Data Point: 30 --> No Conversion Required
Return Period of Wind: 50 --> No Conversion Required
Desired Time Period: 3.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pe = 1-(1-(t/Tr))^(L) --> 1-(1-(30/50))^(3.1)
Evaluating ... ...
Pe = 0.941603613660449
STEP 3: Convert Result to Output's Unit
0.941603613660449 --> No Conversion Required
FINAL ANSWER
0.941603613660449 0.941604 <-- Encounter Probability
(Calculation completed in 00.004 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
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Verified by M Naveen
National Institute of Technology (NIT), Warangal
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Return Period and Encounter Probability Calculators

Encounter Probability
​ LaTeX ​ Go Encounter Probability = 1-(1-(Time Interval associated with each Data Point/Return Period of Wind))^(Desired Time Period)
Cumulative Probability of Design Significant Wave Height given Return Period
​ LaTeX ​ Go Cumulative Probability = -((Time Interval associated with each Data Point/Return Period of Wind)-1)
Time Interval Associated with Each Data Point given Return Period
​ LaTeX ​ Go Time Interval associated with each Data Point = Return Period of Wind*(1-Cumulative Probability)
Return Period given Cumulative Probability
​ LaTeX ​ Go Return Period of Wind = Time Interval associated with each Data Point/(1-Cumulative Probability)

Encounter Probability Formula

​LaTeX ​Go
Encounter Probability = 1-(1-(Time Interval associated with each Data Point/Return Period of Wind))^(Desired Time Period)
Pe = 1-(1-(t/Tr))^(L)

What is Return Period?

Extreme conditions in coastal engineering are often described in terms of return values and return periods. A Return Period, also known as a recurrence interval or repeat interval, is an average time or an estimated average time between events such as earthquakes, floods, landslides, or river discharge flows to occur.

What is Cumulative Probability?

A Cumulative Probability refers to the probability that the value of a random variable falls within a specified range. Frequently, cumulative probabilities refer to the probability that a random variable is less than or equal to a specified value.

How to Calculate Encounter Probability?

Encounter Probability calculator uses Encounter Probability = 1-(1-(Time Interval associated with each Data Point/Return Period of Wind))^(Desired Time Period) to calculate the Encounter Probability, The Encounter Probability formula is defined as the likelihood that waves with significant wave height (Hs) equal to or greater than a specified value (Hs^s) will occur during the design life or a specified period. Encounter Probability is denoted by Pe symbol.

How to calculate Encounter Probability using this online calculator? To use this online calculator for Encounter Probability, enter Time Interval associated with each Data Point (t), Return Period of Wind (Tr) & Desired Time Period (L) and hit the calculate button. Here is how the Encounter Probability calculation can be explained with given input values -> 0.941604 = 1-(1-(30/50))^(3.1).

FAQ

What is Encounter Probability?
The Encounter Probability formula is defined as the likelihood that waves with significant wave height (Hs) equal to or greater than a specified value (Hs^s) will occur during the design life or a specified period and is represented as Pe = 1-(1-(t/Tr))^(L) or Encounter Probability = 1-(1-(Time Interval associated with each Data Point/Return Period of Wind))^(Desired Time Period). Time Interval associated with each Data Point refers to the data that have a time interval associated with them during which they are valid, Return Period of Wind is an average time or an estimated average time between events such as winds & Desired Time Period refers to the specific span of time over which you want to analyze and average the data.
How to calculate Encounter Probability?
The Encounter Probability formula is defined as the likelihood that waves with significant wave height (Hs) equal to or greater than a specified value (Hs^s) will occur during the design life or a specified period is calculated using Encounter Probability = 1-(1-(Time Interval associated with each Data Point/Return Period of Wind))^(Desired Time Period). To calculate Encounter Probability, you need Time Interval associated with each Data Point (t), Return Period of Wind (Tr) & Desired Time Period (L). With our tool, you need to enter the respective value for Time Interval associated with each Data Point, Return Period of Wind & Desired Time Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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