Mean Runup Calculator

Mean Runup Formula:

\[ R' = H_d \times 0.88 \times \varepsilon_0^{0.69} \]

Mean Runup (R'):

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1. What is Mean Runup?

Mean Runup is the average maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves. It is an important parameter in coastal engineering for designing coastal structures and assessing flood risks.

2. How Does the Calculator Work?

The calculator uses the Mean Runup formula:

\[ R' = H_d \times 0.88 \times \varepsilon_0^{0.69} \]

Where:

\( R' \) — Mean Runup (m)
\( H_d \) — Deepwater Wave Height (m)
\( \varepsilon_0 \) — Deepwater Surf Similarity Parameter

Explanation: The formula calculates the average maximum wave runup elevation based on deepwater wave characteristics and surf similarity parameters.

3. Importance of Mean Runup Calculation

Details: Accurate mean runup estimation is crucial for coastal structure design, flood risk assessment, and shoreline management planning. It helps determine safe elevation levels for coastal infrastructure.

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 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: Why is Mean Runup important in coastal engineering?
A: Mean Runup helps determine the maximum elevation waves can reach onshore, which is critical for designing coastal defenses, setting building elevations, and assessing flood risks.

Q3: What factors can affect Mean Runup values?
A: Beach slope, wave characteristics, tidal conditions, and bottom topography can all influence mean runup values.

Q4: Are there limitations to this formula?
A: This empirical formula provides estimates and may need adjustment for specific local conditions, extreme weather events, or complex coastal geometries.

Q5: How accurate is this calculation?
A: The formula provides a good estimate for typical coastal conditions but should be validated with field measurements for critical engineering applications.