Discharge in Unconfined Aquifer Calculator

✖Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability in Well Hydraulics [K_WH]			+10% -10%
✖Thickness of Unconfined Aquifer is measured from impermeable layer to the initial level of water table.ⓘ Thickness of Unconfined Aquifer [H]			+10% -10%
✖Depth of Water is the depth in the well measured above the impermeable layer.ⓘ Depth of Water [h_w]			+10% -10%
✖Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.ⓘ Radius of Influence [R_w]			+10% -10%
✖Radius of Well is defined as the distance from center of well to its outer boundary.ⓘ Radius of Well [r]			+10% -10%

✖Discharge is the flow rate of water that is extracted from or injected into a well.ⓘ Discharge in Unconfined Aquifer [Q]

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Discharge in Unconfined Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e))
Q = (pi*K_WH*(H^2-h_w^2))/(log((R_w/r),e))
This formula uses 2 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Discharge - (Measured in Cubic Meter per Second) - Discharge is the flow rate of water that is extracted from or injected into a well.
Coefficient of Permeability in Well Hydraulics - (Measured in Meter per Second) - Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.
Thickness of Unconfined Aquifer - (Measured in Meter) - Thickness of Unconfined Aquifer is measured from impermeable layer to the initial level of water table.
Depth of Water - (Measured in Meter) - Depth of Water is the depth in the well measured above the impermeable layer.
Radius of Influence - (Measured in Meter) - Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.
Radius of Well - (Measured in Meter) - Radius of Well is defined as the distance from center of well to its outer boundary.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Permeability in Well Hydraulics: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)
Thickness of Unconfined Aquifer: 5 Meter --> 5 Meter No Conversion Required
Depth of Water: 2.44 Meter --> 2.44 Meter No Conversion Required
Radius of Influence: 8.6 Meter --> 8.6 Meter No Conversion Required
Radius of Well: 7.5 Meter --> 7.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (pi*K_WH*(H^2-h_w^2))/(log((R_w/r),e)) --> (pi*0.1*(5^2-2.44^2))/(log((8.6/7.5),e))

Evaluating ... ...

Q = 0.818911020627159

STEP 3: Convert Result to Output's Unit

0.818911020627159 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.818911020627159 ≈ 0.818911 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.020 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Aquifer Discharge Calculators

Discharge when Two Observation Well is Taken

LaTeX Go Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))

Discharge in Unconfined Aquifer

LaTeX Go Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e))

Discharge in Unconfined Aquifer with Base 10

LaTeX Go Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Aquifer Thickness^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),10))

Rate of Flow given Flow Velocity

LaTeX Go Discharge = (Velocity of Flow*Area of Cross Section)

Discharge in Unconfined Aquifer Formula

LaTeX Go

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Discharge in Unconfined Aquifer?

Discharge in Unconfined Aquifer calculator uses Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e)) to calculate the Discharge, The Discharge in Unconfined Aquifer is defined as the value of discharge in unconfined aquifer when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Discharge in Unconfined Aquifer using this online calculator? To use this online calculator for Discharge in Unconfined Aquifer, enter Coefficient of Permeability in Well Hydraulics (K_WH), Thickness of Unconfined Aquifer (H), Depth of Water (h_w), Radius of Influence (R_w) & Radius of Well (r) and hit the calculate button. Here is how the Discharge in Unconfined Aquifer calculation can be explained with given input values -> 0.818911 = (pi*0.1*(5^2-2.44^2))/(log((8.6/7.5),e)).

FAQ

What is Discharge in Unconfined Aquifer?

The Discharge in Unconfined Aquifer is defined as the value of discharge in unconfined aquifer when we have prior information of other parameters used and is represented as Q = (pi*K_WH*(H^2-h_w^2))/(log((R_w/r),e)) or Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e)). Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil, Thickness of Unconfined Aquifer is measured from impermeable layer to the initial level of water table, Depth of Water is the depth in the well measured above the impermeable layer, Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table & Radius of Well is defined as the distance from center of well to its outer boundary.

How to calculate Discharge in Unconfined Aquifer?

The Discharge in Unconfined Aquifer is defined as the value of discharge in unconfined aquifer when we have prior information of other parameters used is calculated using Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),e)). To calculate Discharge in Unconfined Aquifer, you need Coefficient of Permeability in Well Hydraulics (K_WH), Thickness of Unconfined Aquifer (H), Depth of Water (h_w), Radius of Influence (R_w) & Radius of Well (r). With our tool, you need to enter the respective value for Coefficient of Permeability in Well Hydraulics, Thickness of Unconfined Aquifer, Depth of Water, Radius of Influence & Radius of Well and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Discharge?

In this formula, Discharge uses Coefficient of Permeability in Well Hydraulics, Thickness of Unconfined Aquifer, Depth of Water, Radius of Influence & Radius of Well. We can use 3 other way(s) to calculate the same, which is/are as follows -

Discharge = (Velocity of Flow*Area of Cross Section)
Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Aquifer Thickness^2-Depth of Water^2))/(log((Radius of Influence/Radius of Well),10))
Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))

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