Equation for Water Divide Calculator

✖The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations.ⓘ Length between Upstream and Downstream [L_stream]			+10% -10%
✖The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability [K]			+10% -10%
✖The Natural Recharge is a process by which groundwater is replenished naturally when precipitation infiltrates the ground, moving through the soil and rock layers until it reaches the water table.ⓘ Natural Recharge [R]			+10% -10%
✖The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Upstream End [h_o]			+10% -10%
✖The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Downstream End [h₁]			+10% -10%

✖The Water Divide refers to the drainage divide, is an elevated boundary that separates neighboring drainage basins.ⓘ Equation for Water Divide [a]

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Formula

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Equation for Water Divide

Formula

a = (\frac{L stream}{2}) - (\frac{K}{R}) \cdot (\frac{{h o}^{2} - {h 1}^{2}}{2} \cdot L stream)

Example

0.676128 = (\frac{4.09 m}{2}) - (\frac{9 cm/s}{16 m³/s}) \cdot (\frac{{12 m}^{2} - {5 m}^{2}}{2} \cdot 4.09 m)

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Equation for Water Divide Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Divide = (Length between Upstream and Downstream/2)-(Coefficient of Permeability/Natural Recharge)*((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)/2*Length between Upstream and Downstream)
a = (L_stream/2)-(K/R)*((h_o^2-h₁^2)/2*L_stream)
This formula uses 6 Variables

Variables Used

Water Divide - The Water Divide refers to the drainage divide, is an elevated boundary that separates neighboring drainage basins.
Length between Upstream and Downstream - (Measured in Meter) - The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
Natural Recharge - (Measured in Cubic Meter per Second) - The Natural Recharge is a process by which groundwater is replenished naturally when precipitation infiltrates the ground, moving through the soil and rock layers until it reaches the water table.
Piezometric Head at Upstream End - (Measured in Meter) - The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum.
Piezometric Head at Downstream End - (Measured in Meter) - The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum.

STEP 1: Convert Input(s) to Base Unit

Length between Upstream and Downstream: 4.09 Meter --> 4.09 Meter No Conversion Required
Coefficient of Permeability: 9 Centimeter per Second --> 0.09 Meter per Second (Check conversion here)
Natural Recharge: 16 Cubic Meter per Second --> 16 Cubic Meter per Second No Conversion Required
Piezometric Head at Upstream End: 12 Meter --> 12 Meter No Conversion Required
Piezometric Head at Downstream End: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (L_stream/2)-(K/R)*((h_o^2-h₁^2)/2*L_stream) --> (4.09/2)-(0.09/16)*((12^2-5^2)/2*4.09)

Evaluating ... ...

a = 0.676128125

STEP 3: Convert Result to Output's Unit

0.676128125 --> No Conversion Required

FINAL ANSWER

0.676128125 ≈ 0.676128 <-- Water Divide

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Unconfined Flow » Unconfined Flow by Dupit's Assumption » One Dimensional Dupit's Flow with Recharge » Equation for Water Divide

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< One Dimensional Dupit's Flow with Recharge Calculators

Equation of Head for Unconfined Aquifer on Horizontal Impervious Base

Go Water Table Profile = sqrt(((-Natural Recharge*Flow in 'x' Direction^2)/Coefficient of Permeability)-(((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2-((Natural Recharge*Length between Upstream and Downstream^2)/Coefficient of Permeability))/Length between Upstream and Downstream)*Flow in 'x' Direction)+Piezometric Head at Upstream End^2)

Discharge per Unit Width of Aquifer at any Location x

Go Discharge of Aquifer at any Location x = Natural Recharge*(Flow in 'x' Direction-(Length between Upstream and Downstream/2))+(Coefficient of Permeability/2*Length between Upstream and Downstream)*(Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)

Discharge at Downstream Water Body of Catchment

Go Discharge at Downstream Side = ((Natural Recharge*Length between Upstream and Downstream)/2)+((Coefficient of Permeability/(2*Length between Upstream and Downstream))*(Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2))

Equation for Water Divide

Go Water Divide = (Length between Upstream and Downstream/2)-(Coefficient of Permeability/Natural Recharge)*((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)/2*Length between Upstream and Downstream)

Equation for Water Divide Formula

What is the Significance of Water Divide?

The Significance of Water Divide are:
The upland divides the water bodies into two different parts that are known as water divide. There are many water divide in India. One of them is in Ambala where the Ganga and Indus divided up. This is done to make sure that the water bodies can flow separately without any disruption from one another

How to Calculate Equation for Water Divide?

Equation for Water Divide calculator uses Water Divide = (Length between Upstream and Downstream/2)-(Coefficient of Permeability/Natural Recharge)*((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)/2*Length between Upstream and Downstream) to calculate the Water Divide, The Equation for Water Divide is defined as the line that separates neighboring drainage basins from one another. Water Divide is denoted by a symbol.

How to calculate Equation for Water Divide using this online calculator? To use this online calculator for Equation for Water Divide, enter Length between Upstream and Downstream (L_stream), Coefficient of Permeability (K), Natural Recharge (R), Piezometric Head at Upstream End (h_o) & Piezometric Head at Downstream End (h₁) and hit the calculate button. Here is how the Equation for Water Divide calculation can be explained with given input values -> 0.676128 = (4.09/2)-(0.09/16)*((12^2-5^2)/2*4.09).

FAQ

What is Equation for Water Divide?

The Equation for Water Divide is defined as the line that separates neighboring drainage basins from one another and is represented as a = (L_stream/2)-(K/R)*((h_o^2-h₁^2)/2*L_stream) or Water Divide = (Length between Upstream and Downstream/2)-(Coefficient of Permeability/Natural Recharge)*((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)/2*Length between Upstream and Downstream). The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations, The Coefficient of Permeability of soil describes how easily a liquid will move through the soil, The Natural Recharge is a process by which groundwater is replenished naturally when precipitation infiltrates the ground, moving through the soil and rock layers until it reaches the water table, The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum & The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum.

How to calculate Equation for Water Divide?

The Equation for Water Divide is defined as the line that separates neighboring drainage basins from one another is calculated using Water Divide = (Length between Upstream and Downstream/2)-(Coefficient of Permeability/Natural Recharge)*((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)/2*Length between Upstream and Downstream). To calculate Equation for Water Divide, you need Length between Upstream and Downstream (L_stream), Coefficient of Permeability (K), Natural Recharge (R), Piezometric Head at Upstream End (h_o) & Piezometric Head at Downstream End (h₁). With our tool, you need to enter the respective value for Length between Upstream and Downstream, Coefficient of Permeability, Natural Recharge, Piezometric Head at Upstream End & Piezometric Head at Downstream End and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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