Tidal Period Given Residence Time Calculator

Tidal Duration Formula:

\[ T = \frac{Tr \times \varepsilon \times P}{V} \]

Residence Time (Tr):

Year

Fraction of New Water entering the Bay (ε):

(0-1)

Tidal Prism Filling Bay (P):

Cubic Meter

Average Volume of Bay over Tidal Cycle (V):

Cubic Meter per Hour

Tidal Duration (T):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Tidal Duration Formula?

The Tidal Duration formula calculates the tidal period based on residence time, fraction of new water entering the bay, tidal prism filling the bay, and average volume of the bay over a tidal cycle. It provides an efficient way to estimate tidal water dynamics in coastal systems.

2. How Does the Calculator Work?

The calculator uses the Tidal Duration formula:

\[ T = \frac{Tr \times \varepsilon \times P}{V} \]

Where:

\( T \) — Tidal Duration (Year)
\( Tr \) — Residence Time (Year)
\( \varepsilon \) — Fraction of New Water entering the Bay (0-1)
\( P \) — Tidal Prism Filling Bay (Cubic Meter)
\( V \) — Average Volume of Bay over Tidal Cycle (Cubic Meter per Hour)

Explanation: The formula accounts for the relationship between water exchange processes and tidal dynamics in coastal basins and estuaries.

3. Importance of Tidal Duration Calculation

Details: Accurate tidal duration estimation is crucial for understanding coastal hydrodynamics, predicting tidal patterns, managing coastal resources, and designing coastal infrastructure.

4. Using the Calculator

Tips: Enter residence time in years, fraction of new water (0-1), tidal prism in cubic meters, and average volume in cubic meters per hour. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is residence time in coastal systems?
A: Residence time is defined as the average time for a water particle to enter and then leave the basin, representing the water exchange rate.

Q2: How is tidal prism measured?
A: Tidal prism is the volume of water between mean high tide and mean low tide, typically measured through bathymetric surveys and tidal observations.

Q3: What factors affect the fraction of new water?
A: Freshwater inflow, precipitation, evaporation, and water exchange rates with adjacent water bodies all influence the fraction of new water.

Q4: When is this formula most applicable?
A: This formula is particularly useful for well-mixed estuaries and coastal basins with regular tidal patterns.

Q5: Are there limitations to this equation?
A: The formula may be less accurate in complex coastal systems with irregular topography, strong wind influences, or significant freshwater inputs.