Discharge at Downstream Water Body of Catchment Calculator

✖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 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 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 Discharge at Downstream Side refers to the volume of water flowing past a specific point in a river per unit of time, measured at a location further along the river’s course, away from its source.ⓘ Discharge at Downstream Water Body of Catchment [q₁]

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Discharge at Downstream Water Body of Catchment Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
q₁ = ((R*L_stream)/2)+((K/(2*L_stream))*(h_o^2-h₁^2))
This formula uses 6 Variables

Variables Used

Discharge at Downstream Side - (Measured in Cubic Meter per Second) - The Discharge at Downstream Side refers to the volume of water flowing past a specific point in a river per unit of time, measured at a location further along the river’s course, away from its source.
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.
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.
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

Natural Recharge: 16 Cubic Meter per Second --> 16 Cubic Meter per Second No Conversion Required
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)
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

q₁ = ((R*L_stream)/2)+((K/(2*L_stream))*(h_o^2-h₁^2)) --> ((16*4.09)/2)+((0.09/(2*4.09))*(12^2-5^2))

Evaluating ... ...

q₁ = 34.0292909535452

STEP 3: Convert Result to Output's Unit

34.0292909535452 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

34.0292909535452 ≈ 34.02929 Cubic Meter per Second <-- Discharge at Downstream Side

(Calculation completed in 00.008 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 » Discharge at Downstream Water Body of Catchment

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Coorg Institute of Technology (CIT), Coorg

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< One Dimensional Dupit's Flow with Recharge Calculators

Equation of Head for Unconfined Aquifer on Horizontal Impervious Base

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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)

Discharge at Downstream Water Body of Catchment Formula

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What is Recharge?

Recharge is the primary method through which water enters an aquifer. This process usually occurs in the vadose zone below plant roots and, is often expressed as a flux to the water table surface. Groundwater recharge also encompasses water moving away from the water table farther into the saturated zone.

How to Calculate Discharge at Downstream Water Body of Catchment?

Discharge at Downstream Water Body of Catchment calculator uses 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)) to calculate the Discharge at Downstream Side, The Discharge at Downstream Water Body of Catchment formula is defined as the volumetric flow rate of water that is transported through a given cross-sectional area at the downstream water body. Discharge at Downstream Side is denoted by q₁ symbol.

How to calculate Discharge at Downstream Water Body of Catchment using this online calculator? To use this online calculator for Discharge at Downstream Water Body of Catchment, enter Natural Recharge (R), Length between Upstream and Downstream (L_stream), Coefficient of Permeability (K), Piezometric Head at Upstream End (h_o) & Piezometric Head at Downstream End (h₁) and hit the calculate button. Here is how the Discharge at Downstream Water Body of Catchment calculation can be explained with given input values -> 34.02929 = ((16*4.09)/2)+((0.09/(2*4.09))*(12^2-5^2)).

FAQ

What is Discharge at Downstream Water Body of Catchment?

The Discharge at Downstream Water Body of Catchment formula is defined as the volumetric flow rate of water that is transported through a given cross-sectional area at the downstream water body and is represented as q₁ = ((R*L_stream)/2)+((K/(2*L_stream))*(h_o^2-h₁^2)) or 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)). 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 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 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 Discharge at Downstream Water Body of Catchment?

The Discharge at Downstream Water Body of Catchment formula is defined as the volumetric flow rate of water that is transported through a given cross-sectional area at the downstream water body is calculated using 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)). To calculate Discharge at Downstream Water Body of Catchment, you need Natural Recharge (R), Length between Upstream and Downstream (L_stream), Coefficient of Permeability (K), Piezometric Head at Upstream End (h_o) & Piezometric Head at Downstream End (h₁). With our tool, you need to enter the respective value for Natural Recharge, Length between Upstream and Downstream, Coefficient of Permeability, 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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