Average Of Highest One Third Of Runups Calculator

Formula Used:

\[ \text{Average of the Highest 1/3 of the Runups} = \text{Deepwater Wave Height} \times 1.38 \times \text{Deepwater Surf Similarity Parameter}^{0.7} \] \[ R_{1/3} = H_d \times 1.38 \times \varepsilon_0^{0.7} \]

Average of the Highest 1/3 of the Runups (R₁/₃):

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1. What is the Average of Highest One Third of Runups?

The Average of the Highest 1/3 of the Runups is the average of maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves. It represents the typical maximum wave runup elevation that would be expected in coastal engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R_{1/3} = H_d \times 1.38 \times \varepsilon_0^{0.7} \]

Where:

\( R_{1/3} \) — Average of the Highest 1/3 of the Runups (m)
\( H_d \) — Deepwater Wave Height (m)
\( \varepsilon_0 \) — Deepwater Surf Similarity Parameter

Explanation: This formula relates deepwater wave characteristics to the expected runup on coastal structures, accounting for wave transformation processes.

3. Importance of Runup Calculation

Details: Accurate runup estimation is crucial for coastal engineering design, shoreline protection, flood risk assessment, and determining safe coastal structure elevations.

4. Using the Calculator

Tips: Enter deepwater wave height in meters and deepwater surf similarity parameter. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the Deepwater Surf Similarity Parameter?
A: The Deepwater Surf Similarity Parameter compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone.

Q2: How is Deepwater Wave Height measured?
A: Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water, typically measured offshore where water depth is greater than half the wavelength.

Q3: What are typical values for runup calculations?
A: Runup values vary significantly based on wave conditions and beach slope, but typically range from fractions of a meter to several meters in storm conditions.

Q4: When is this formula most applicable?
A: This formula is particularly useful for preliminary coastal engineering design and wave runup estimation on relatively smooth, impermeable slopes.

Q5: Are there limitations to this equation?
A: The formula may be less accurate for complex bathymetries, rough or permeable slopes, and under extreme wave conditions that deviate from the assumptions used in its derivation.