Discharge in Confined Aquifer with Base 10 Calculator

✖Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils.ⓘ Coefficient of Permeability [K_w]			+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%
✖Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.ⓘ Initial Aquifer Thickness [H_i]			+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 Confined Aquifer with Base 10 [Q]

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Discharge in Confined Aquifer with Base 10 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10))
Q = (2.72*K_w*b_w*(H_i-h_w))/(log((R_w/r),10))
This formula uses 1 Functions, 7 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 flow rate of water that is extracted from or injected into a well.
Coefficient of Permeability - (Measured in Meter per Second) - Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils.
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.
Initial Aquifer Thickness - (Measured in Meter) - Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping.
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: 1125 Centimeter per Second --> 11.25 Meter per Second (Check conversion here)
Aquifer Thickness: 14.15 Meter --> 14.15 Meter No Conversion Required
Initial Aquifer Thickness: 2.48 Meter --> 2.48 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 = (2.72*K_w*b_w*(H_i-h_w))/(log((R_w/r),10)) --> (2.72*11.25*14.15*(2.48-2.44))/(log((8.6/7.5),10))

Evaluating ... ...

Q = 1.02942831871921

STEP 3: Convert Result to Output's Unit

1.02942831871921 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.02942831871921 ≈ 1.029428 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Aquifer Discharge Calculators

Discharge in Confined Aquifer

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

Discharge in Confined Aquifer given Coefficient of Transmissibility

LaTeX Go Discharge given Coefficient of Transmissibility = (2*pi*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),e))

Discharge in Confined Aquifer with Base 10

LaTeX Go Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10))

Discharge in Confined Aquifer with Base 10 given Coefficient of Transmissibility

LaTeX Go Discharge in Confined Aquifer = (2.72*Coefficient of Transmissibility in Enviro. Eng.*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10))

Discharge in Confined Aquifer with Base 10 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 Confined Aquifer with Base 10?

Discharge in Confined Aquifer with Base 10 calculator uses Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10)) to calculate the Discharge, The Discharge in Confined Aquifer with Base 10 is defined as the value of discharge in confined aquifer when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Discharge in Confined Aquifer with Base 10 using this online calculator? To use this online calculator for Discharge in Confined Aquifer with Base 10, enter Coefficient of Permeability (K_w), Aquifer Thickness (b_w), Initial Aquifer Thickness (H_i), 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 Confined Aquifer with Base 10 calculation can be explained with given input values -> 0.915047 = (2.72*11.25*14.15*(2.48-2.44))/(log((8.6/7.5),10)).

FAQ

What is Discharge in Confined Aquifer with Base 10?

The Discharge in Confined Aquifer with Base 10 is defined as the value of discharge in confined aquifer when we have prior information of other parameters used and is represented as Q = (2.72*K_w*b_w*(H_i-h_w))/(log((R_w/r),10)) or Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10)). Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils, 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, Initial Aquifer Thickness is the aquifer thickness at initial stage before pumping, 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 Confined Aquifer with Base 10?

The Discharge in Confined Aquifer with Base 10 is defined as the value of discharge in confined aquifer when we have prior information of other parameters used is calculated using Discharge = (2.72*Coefficient of Permeability*Aquifer Thickness*(Initial Aquifer Thickness-Depth of Water))/(log((Radius of Influence/Radius of Well),10)). To calculate Discharge in Confined Aquifer with Base 10, you need Coefficient of Permeability (K_w), Aquifer Thickness (b_w), Initial Aquifer Thickness (H_i), 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, Aquifer Thickness, Initial 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, Aquifer Thickness, Initial Aquifer Thickness, 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 = (2*pi*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness During Pumping*Total Drawdown in Well)/(log((Radius of Influence/Radius of Well),e))
Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Aquifer Thickness*Total Drawdown in Well)/(log((Radius of Influence/Radius of Well),10))
Discharge = (2*pi*Coefficient of Transmissibility*Total Drawdown)/(log((Radius of Influence/Radius of Well),e))

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