Average Of Highest One Tenth Of Runups Calculator

Formula Used:

\[ R_{1/10} = H_d \times 1.7 \times \varepsilon_0^{0.71} \]

Average of the Highest 1/10 of the Runup (R₁/₁₀):

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1. What is Average of Highest One Tenth of Runups?

The Average of Highest One Tenth of Runups (R₁/₁₀) is the average of maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves. This measurement is crucial in coastal engineering for designing coastal structures and assessing flood risks.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R_{1/10} = H_d \times 1.7 \times \varepsilon_0^{0.71} \]

Where:

\( R_{1/10} \) — Average of the Highest 1/10 of the Runup (m)
\( H_d \) — Deepwater Wave Height (m)
\( \varepsilon_0 \) — Deepwater Surf Similarity Parameter

Explanation: This formula calculates the average runup height for the highest 10% of waves based on deepwater wave characteristics and surf similarity parameters.

3. Importance of R₁/₁₀ Calculation

Details: Accurate runup estimation is essential for coastal structure design, flood risk assessment, shoreline management, and determining safe coastal setback distances.

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 for accurate calculation.

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 using wave buoys or remote sensing technologies.

Q3: What are typical values for R₁/₁₀?
A: Typical values vary widely depending on wave conditions and beach slope, but generally range from a few centimeters to several meters in extreme storm conditions.

Q4: When is this calculation most important?
A: This calculation is particularly important during coastal engineering projects, flood risk assessments, and when designing coastal protection structures.

Q5: Are there limitations to this formula?
A: This formula provides an estimation and may need adjustment for specific local conditions, complex bathymetry, or unusual wave climates.