Deepwater Wave Height Given Average Of Highest One Third Of Runups Calculator

Deepwater Wave Height Formula:

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

Deepwater Wave Height:

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1. What is Deepwater Wave Height?

Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water. It is a crucial parameter in coastal engineering and oceanography for understanding wave behavior and its impact on coastal structures.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates deepwater wave height based on runup measurements and surf similarity parameter, which compares the wave surface slope to the bed slope in the surf zone.

3. Importance of Deepwater Wave Height Calculation

Details: Accurate deepwater wave height estimation is essential for coastal engineering projects, shoreline protection design, and understanding wave energy distribution in offshore environments.

4. Using the Calculator

Tips: Enter the average of the highest 1/3 of runups in meters and the deepwater surf similarity parameter. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the highest 1/3 of runups?
A: The highest 1/3 of runups represents the most significant wave impacts on shorelines and is commonly used in coastal engineering for design considerations.

Q2: How is the deepwater surf similarity parameter determined?
A: The deepwater surf similarity parameter is calculated based on wave characteristics and seabed slope, comparing wave surface slope to bed slope in the surf zone.

Q3: What are typical values for deepwater wave height?
A: Deepwater wave heights vary significantly based on location and weather conditions, ranging from less than 1 meter in calm conditions to over 20 meters in extreme storms.

Q4: Are there limitations to this calculation method?
A: This method provides an estimation and may have limitations in complex coastal environments with irregular bathymetry or under extreme wave conditions.

Q5: How accurate is this calculation for engineering purposes?
A: While useful for preliminary estimates, detailed coastal engineering projects typically require more comprehensive wave modeling and field measurements.