Equation for Water Divide Calculator

Equation for Water Divide:

\[ a = \frac{L_{stream}}{2} - \frac{K}{R} \times \frac{h_o^2 - h_1^2}{2 \times L_{stream}} \]

Length between Upstream and Downstream:

Coefficient of Permeability:

m/s

Natural Recharge:

m³/s

Piezometric Head at Upstream End:

Piezometric Head at Downstream End:

Water Divide:

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1. What is the Equation for Water Divide?

The Water Divide refers to the drainage divide, which is an elevated boundary that separates neighboring drainage basins. This equation calculates the position of the water divide based on hydrological parameters.

2. How Does the Calculator Work?

The calculator uses the Water Divide equation:

\[ a = \frac{L_{stream}}{2} - \frac{K}{R} \times \frac{h_o^2 - h_1^2}{2 \times L_{stream}} \]

Where:

\( a \) — Water Divide (m)
\( L_{stream} \) — Length between Upstream and Downstream (m)
\( K \) — Coefficient of Permeability (m/s)
\( R \) — Natural Recharge (m³/s)
\( h_o \) — Piezometric Head at Upstream End (m)
\( h_1 \) — Piezometric Head at Downstream End (m)

Explanation: The equation calculates the position of the water divide based on the balance between groundwater flow and natural recharge in the system.

3. Importance of Water Divide Calculation

Details: Accurate water divide calculation is crucial for understanding watershed boundaries, groundwater flow patterns, and managing water resources in hydrological systems.

4. Using the Calculator

Tips: Enter all parameters in appropriate units. Length between upstream and downstream, coefficient of permeability, natural recharge, and piezometric heads must be positive values.

5. Frequently Asked Questions (FAQ)

Q1: What is a water divide?
A: A water divide is an elevated boundary that separates neighboring drainage basins, determining the direction of surface water flow.

Q2: Why is the coefficient of permeability important?
A: The coefficient of permeability describes how easily water moves through soil, which directly affects groundwater flow patterns.

Q3: What does natural recharge represent?
A: Natural recharge is the process by which groundwater is replenished naturally through precipitation infiltration.

Q4: How are piezometric heads measured?
A: Piezometric heads are measured as the specific measurement of liquid pressure above a vertical datum, typically using piezometers.

Q5: What are typical values for these parameters?
A: Values vary widely depending on geological conditions. Coefficient of permeability can range from 10⁻² to 10⁻⁹ m/s, while natural recharge depends on climate and soil conditions.