Discharge entering cylindrical surface to well discharge Calculator

✖Radial Distance is the distance from the pumped well to the observation well located.ⓘ Radial Distance [r]			+10% -10%
✖Width of Aquifer measured from impermeable layer to the initial level of water table.ⓘ Width of Aquifer [H_a]			+10% -10%
✖The coefficient of permeability (K) is the velocity in meters or centimetres per second of water through soils.ⓘ Coefficient of Permeability [K]			+10% -10%
✖Change in the piezometric head with respect to the radial distance.ⓘ Change in the piezometric head [dh]			+10% -10%
✖Change in Radial Distance with respect to the Piezometric Head.ⓘ Change in Radial Distance [dr]			+10% -10%

✖Discharge entering cylindrical surface into well discharge is the amount of fluid flowing through the cylindrical surface into the well.ⓘ Discharge entering cylindrical surface to well discharge [Q]

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Formula

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Discharge entering cylindrical surface to well discharge

Formula

`"Q" = (2*pi*"r"*"H"_{"a"})*("K"*("dh"/"dr"))`

Example

`"127.2345m³/s"=(2*pi*"3m"*"45m")*("3.0cm/s"*("1.25m"/"0.25m"))`

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Discharge entering cylindrical surface to well discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge entering cylindrical surface into Well = (2*pi*Radial Distance*Width of Aquifer)*(Coefficient of Permeability*(Change in the piezometric head/Change in Radial Distance))
Q = (2*pi*r*H_a)*(K*(dh/dr))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Discharge entering cylindrical surface into Well - (Measured in Cubic Meter per Second) - Discharge entering cylindrical surface into well discharge is the amount of fluid flowing through the cylindrical surface into the well.
Radial Distance - (Measured in Meter) - Radial Distance is the distance from the pumped well to the observation well located.
Width of Aquifer - (Measured in Meter) - Width of Aquifer measured from impermeable layer to the initial level of water table.
Coefficient of Permeability - (Measured in Meter per Second) - The coefficient of permeability (K) is the velocity in meters or centimetres per second of water through soils.
Change in the piezometric head - (Measured in Meter) - Change in the piezometric head with respect to the radial distance.
Change in Radial Distance - (Measured in Meter) - Change in Radial Distance with respect to the Piezometric Head.

STEP 1: Convert Input(s) to Base Unit

Radial Distance: 3 Meter --> 3 Meter No Conversion Required
Width of Aquifer: 45 Meter --> 45 Meter No Conversion Required
Coefficient of Permeability: 3 Centimeter per Second --> 0.03 Meter per Second (Check conversion here)
Change in the piezometric head: 1.25 Meter --> 1.25 Meter No Conversion Required
Change in Radial Distance: 0.25 Meter --> 0.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (2*pi*r*H_a)*(K*(dh/dr)) --> (2*pi*3*45)*(0.03*(1.25/0.25))

Evaluating ... ...

Q = 127.234502470387

STEP 3: Convert Result to Output's Unit

127.234502470387 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

127.234502470387 ≈ 127.2345 Cubic Meter per Second <-- Discharge entering cylindrical surface into Well

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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< 10+ Steady Flow into a Well Calculators

Thiem's equilibrium equation for steady flow in confined aquifer

Go Steady Flow in a Confined Aquifer = 2*pi*Coefficient of Permeability*Width of Aquifer*(Piezometric Head at Radial Distance r2-Piezometric Head at Radial Distance r1)/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)

Equilibrium Equation for Flow in Confined Aquifer at Observation Well

Go Discharge entering cylindrical surface into Well = (2*pi*Transmissivity*(Piezometric Head at Radial Distance r2-Piezometric Head at Radial Distance r1))/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)

Transmissivity when Discharge and Drawdowns are considered

Go Transmissivity = Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)/(2*pi*(Drawdown at the Start of Recuperation-Drawdown at a Time))

Discharge Observed at Edge of Zone of Influence

Go Discharge entering cylindrical surface into Well = 2*pi*Transmissivity*Possible Drawdown in Confined Aquifer/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)

Discharge entering cylindrical surface to well discharge

Go Discharge entering cylindrical surface into Well = (2*pi*Radial Distance*Width of Aquifer)*(Coefficient of Permeability*(Change in the piezometric head/Change in Radial Distance))

Transmissivity when discharge at edge of zone of influence

Go Transmissivity = (Steady Flow in a Confined Aquifer*ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1))/(2*pi*Possible Drawdown in Confined Aquifer)

Velocity of flow by Darcy's Law at Radical Distance

Go Velocity of Flow at Radial Distance = Coefficient of Permeability*(Change in the piezometric head/Change in Radial Distance)

Change in Piezometric Head

Go Change in the piezometric head = Velocity of Flow at Radial Distance*Change in Radial Distance/Coefficient of Permeability

Change in Radial Distance

Go Change in Radial Distance = Coefficient of Permeability*Change in the piezometric head/Velocity of Flow at Radial Distance

Cylindrical Surface through which Velocity of Flow Occurs

Go Surface through which the Velocity of Flow Occurs = 2*pi*Radial Distance*Width of Aquifer

Discharge entering cylindrical surface to well discharge Formula

What is Coefficient of Permeability?

The Coefficient of Permeability of a soil describes how easily a liquid will move through a soil. It is also commonly referred to as the hydraulic conductivity of a soil. This factor can be affected by the viscosity, or thickness(fluidity) of a liquid and its density.

How to Calculate Discharge entering cylindrical surface to well discharge?

Discharge entering cylindrical surface to well discharge calculator uses Discharge entering cylindrical surface into Well = (2*pi*Radial Distance*Width of Aquifer)*(Coefficient of Permeability*(Change in the piezometric head/Change in Radial Distance)) to calculate the Discharge entering cylindrical surface into Well, The Discharge entering cylindrical surface to well discharge is the volumetric flow rate of water that is transported through a given cross-sectional area of the Well. Discharge entering cylindrical surface into Well is denoted by Q symbol.

How to calculate Discharge entering cylindrical surface to well discharge using this online calculator? To use this online calculator for Discharge entering cylindrical surface to well discharge, enter Radial Distance (r), Width of Aquifer (H_a), Coefficient of Permeability (K), Change in the piezometric head (dh) & Change in Radial Distance (dr) and hit the calculate button. Here is how the Discharge entering cylindrical surface to well discharge calculation can be explained with given input values -> 127.2345 = (2*pi*3*45)*(0.03*(1.25/0.25)).

FAQ

What is Discharge entering cylindrical surface to well discharge?

The Discharge entering cylindrical surface to well discharge is the volumetric flow rate of water that is transported through a given cross-sectional area of the Well and is represented as Q = (2*pi*r*H_a)*(K*(dh/dr)) or Discharge entering cylindrical surface into Well = (2*pi*Radial Distance*Width of Aquifer)*(Coefficient of Permeability*(Change in the piezometric head/Change in Radial Distance)). Radial Distance is the distance from the pumped well to the observation well located, Width of Aquifer measured from impermeable layer to the initial level of water table, The coefficient of permeability (K) is the velocity in meters or centimetres per second of water through soils, Change in the piezometric head with respect to the radial distance & Change in Radial Distance with respect to the Piezometric Head.

How to calculate Discharge entering cylindrical surface to well discharge?

The Discharge entering cylindrical surface to well discharge is the volumetric flow rate of water that is transported through a given cross-sectional area of the Well is calculated using Discharge entering cylindrical surface into Well = (2*pi*Radial Distance*Width of Aquifer)*(Coefficient of Permeability*(Change in the piezometric head/Change in Radial Distance)). To calculate Discharge entering cylindrical surface to well discharge, you need Radial Distance (r), Width of Aquifer (H_a), Coefficient of Permeability (K), Change in the piezometric head (dh) & Change in Radial Distance (dr). With our tool, you need to enter the respective value for Radial Distance, Width of Aquifer, Coefficient of Permeability, Change in the piezometric head & Change in Radial Distance 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 entering cylindrical surface into Well?

In this formula, Discharge entering cylindrical surface into Well uses Radial Distance, Width of Aquifer, Coefficient of Permeability, Change in the piezometric head & Change in Radial Distance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Discharge entering cylindrical surface into Well = (2*pi*Transmissivity*(Piezometric Head at Radial Distance r2-Piezometric Head at Radial Distance r1))/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)
Discharge entering cylindrical surface into Well = 2*pi*Transmissivity*Possible Drawdown in Confined Aquifer/ln(Radial Distance at Observation Well 2/Radial Distance at Observation Well 1)

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