Encounter Probability Calculator

✖Time Interval associated with each Data Point refers to the data that have a time interval associated with them during which they are valid.ⓘ Time Interval associated with each Data Point [t]			+10% -10%
✖Return Period of Wind is an average time or an estimated average time between events such as winds.ⓘ Return Period of Wind [T_r]			+10% -10%
✖Desired Time Period refers to the specific span of time over which you want to analyze and average the data.ⓘ Desired Time Period [L]			+10% -10%

✖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.ⓘ Encounter Probability [P_e]

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Formula

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Encounter Probability

Formula

P e = 1 - {(1 - (\frac{t}{T r}))}^{L}

Example

0.941604 = 1 - {(1 - (\frac{30}{50}))}^{3.1}

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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)
P_e = 1-(1-(t/T_r))^(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

P_e = 1-(1-(t/T_r))^(L) --> 1-(1-(30/50))^(3.1)

Evaluating ... ...

P_e = 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)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Return Period and Encounter Probability Calculators

Encounter Probability

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

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

Go Time Interval associated with each Data Point = Return Period of Wind*(1-Cumulative Probability)

Return Period given Cumulative Probability

Go Return Period of Wind = Time Interval associated with each Data Point/(1-Cumulative Probability)

Encounter Probability Formula

Encounter Probability = 1-(1-(Time Interval associated with each Data Point/Return Period of Wind))^(Desired Time Period)
P_e = 1-(1-(t/T_r))^(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 P_e 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 (T_r) & 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 P_e = 1-(1-(t/T_r))^(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 (T_r) & 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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