Discharge in Unconfined Aquifer with Base 10 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%
✖Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.ⓘ Aquifer Thickness [b_w]			+10% -10%
✖Depth of Water 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 rate of flow of a liquid.ⓘ Discharge in Unconfined Aquifer with Base 10 [Q]

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Discharge in Unconfined Aquifer with Base 10

Formula

`"Q" = (1.36*"K"_{"WH"}*("b"_{"w"}^2-"h"_{"w"}^2))/(log(("R"_{"w"}/"r"),10))`

Example

`"1.770652m³/s"=(1.36*"10.00cm/s"*(("15.0m")^2-("2.44m")^2))/(log(("8.6m"/"7.5m"),10))`

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Discharge in Unconfined Aquifer with Base 10 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Aquifer Thickness^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),10))
Q = (1.36*K_WH*(b_w^2-h_w^2))/(log((R_w/r),10))
This formula uses 1 Functions, 6 Variables

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 rate of flow of a liquid.
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.
Aquifer Thickness - (Measured in Meter) - Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.
Depth of Water - (Measured in Meter) - Depth of Water 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)
Aquifer Thickness: 15 Meter --> 15 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 = (1.36*K_WH*(b_w^2-h_w^2))/(log((R_w/r),10)) --> (1.36*0.1*(15^2-2.44^2))/(log((8.6/7.5),10))

Evaluating ... ...

Q = 1.77065227541025

STEP 3: Convert Result to Output's Unit

1.77065227541025 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.77065227541025 ≈ 1.770652 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources : Ground Water » Well Hydraulics » Unconfined Aquifer » Aquifer Discharge » Discharge in Unconfined Aquifer with Base 10

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 7 Aquifer Discharge Calculators

Discharge when Two Observation Well is Taken

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 given Length of Strainer

Go Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/(log((Radius of Influence/Radius of Well in Well Hydraulics),10))

Discharge in Unconfined Aquifer

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 from Two Wells with Base 10

Go Discharge = (1.36*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 Well 1),10))

Discharge in Unconfined Aquifer with Base 10

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 Coefficient of Permeability

Go Discharge = Coefficient of Permeability*Hydraulic Gradient in Envi. Engi.*Area of Cross Section in Enviro. Engin.

Rate of Flow given Flow Velocity

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

Discharge in Unconfined Aquifer with Base 10 Formula

Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Aquifer Thickness^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),10))
Q = (1.36*K_WH*(b_w^2-h_w^2))/(log((R_w/r),10))

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 with Base 10?

Discharge in Unconfined Aquifer with Base 10 calculator uses Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Aquifer Thickness^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),10)) to calculate the Discharge, The Discharge in Unconfined Aquifer with Base 10 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 with Base 10 using this online calculator? To use this online calculator for Discharge in Unconfined Aquifer with Base 10, enter Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness (b_w), 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 with Base 10 calculation can be explained with given input values -> 1.770652 = (1.36*0.1*(15^2-2.44^2))/(log((8.6/7.5),10)).

FAQ

What is Discharge in Unconfined Aquifer with Base 10?

The Discharge in Unconfined Aquifer with Base 10 is defined as the value of discharge in unconfined aquifer when we have prior information of other parameters used and is represented as Q = (1.36*K_WH*(b_w^2-h_w^2))/(log((R_w/r),10)) or Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Aquifer Thickness^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),10)). Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil, Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water, Depth of Water 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 with Base 10?

The Discharge in Unconfined Aquifer with Base 10 is defined as the value of discharge in unconfined aquifer when we have prior information of other parameters used is calculated using Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Aquifer Thickness^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),10)). To calculate Discharge in Unconfined Aquifer with Base 10, you need Coefficient of Permeability in Well Hydraulics (K_WH), Aquifer Thickness (b_w), 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, Aquifer Thickness, 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, Aquifer Thickness, Depth of Water, Radius of Influence & Radius of well. We can use 6 other way(s) to calculate the same, which is/are as follows -

Discharge = (Velocity of Flow*Area of Cross Section)
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 = (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 = (1.36*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 Well 1),10))
Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/(log((Radius of Influence/Radius of Well in Well Hydraulics),10))
Discharge = Coefficient of Permeability*Hydraulic Gradient in Envi. Engi.*Area of Cross Section in Enviro. Engin.

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