Encounter Probability Calculator

✖Time Interval associated with each data point, in years.ⓘ 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, in Years [Encounter Probability].ⓘ Desired Time Period [L]			+10% -10%

✖Encounter Probability gives the probability that waves with Hs equal to or greater than H^ s will occur during the design life or other time period.ⓘ Encounter Probability [P_e]

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Formula

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Encounter Probability

Formula

`"P"_{"e"} = 1-(1-("t"/"T"_{"r"}))^("L")`

Example

`"0.941604"=1-(1-("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 gives the probability that waves with Hs equal to or greater than H^ s will occur during the design life or other time period.
Time Interval associated with each data point - Time Interval associated with each data point, in years.
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, in Years [Encounter Probability].

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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Home » Engineering » Civil » Coastal and Ocean Engineering » Hydrodynamic Analysis and Design Conditions » Return Period and Encounter Probability » Encounter Probability

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Coorg Institute of Technology (CIT), Coorg

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< 9 Return Period and Encounter Probability Calculators

Standard Deviation of Maximum Monthly Wind Speeds given Wind Speed with r-year Return Period

Go Standard Deviation of Maximum Monthly Wind Speeds = (Wind Speed with r Year Return Period-Mean Value of Maximum Monthly Wind Speeds)/(0.78*(ln(12*Return Period of Wind)-0.577))

Mean Value of Maximum Monthly Wind Speeds for Wind Speed with r-year Return Period

Go Mean Value of Maximum Monthly Wind Speeds = Wind Speed with r Year Return Period-(0.78*Standard Deviation of Maximum Monthly Wind Speeds*(ln(12*Return Period of Wind)-0.577))

Wind Speed with r-year Return Period

Go Wind Speed with r Year Return Period = Mean Value of Maximum Monthly Wind Speeds+0.78*Standard Deviation of Maximum Monthly Wind Speeds*(ln(12*Return Period of Wind)-0.577)

Significant Wave Height for Free Long Waves

Go Significant Wave Height for Free Waves = (Constant for Free Long Waves*Significant Wave Height^1.11*Design Wave Period^1.25)/Water Depth^0.25

Velocity at Surface given Volume Flow Rate Per Unit of Ocean Width

Go Velocity at the Surface = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Depth of Frictional Influence

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 it gives the probability that waves with Hs equal to or greater than H^s will occur during the design life or other time 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 it gives the probability that waves with Hs equal to or greater than H^s will occur during the design life or other time 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, in years, Return Period of wind is an average time or an estimated average time between events such as winds & Desired Time Period, in Years [Encounter Probability].

How to calculate Encounter Probability?

The Encounter Probability formula is defined as it gives the probability that waves with Hs equal to or greater than H^s will occur during the design life or other time 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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