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 is the horizontal extent or lateral dimension of the aquifer perpendicular to the direction of groundwater flow.ⓘ Width of Aquifer [H_a]			+10% -10%
✖Coefficient of Permeability is the measure of the ability of a porous material (such as soil or rock) to transmit fluids through it. It quantifies how easily water can flow through the material.ⓘ Coefficient of Permeability [K]			+10% -10%
✖Change in Piezometric Head is the difference in hydraulic head between two points within an aquifer or groundwater system.ⓘ Change in Piezometric Head [dh]			+10% -10%
✖Change in Radial Distance is the variation in distance from a pumping well to a specific point in an aquifer over time.ⓘ Change in Radial Distance [dr]			+10% -10%

✖Discharge Entering Cylindrical Surface into Well is the flow rate of groundwater entering a cylindrical well or borehole. It influences the design and management of wells.ⓘ Discharge Entering Cylindrical Surface to Well Discharge [Q]

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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 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 is the flow rate of groundwater entering a cylindrical well or borehole. It influences the design and management of wells.
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 is the horizontal extent or lateral dimension of the aquifer perpendicular to the direction of groundwater flow.
Coefficient of Permeability - (Measured in Meter per Second) - Coefficient of Permeability is the measure of the ability of a porous material (such as soil or rock) to transmit fluids through it. It quantifies how easily water can flow through the material.
Change in Piezometric Head - (Measured in Meter) - Change in Piezometric Head is the difference in hydraulic head between two points within an aquifer or groundwater system.
Change in Radial Distance - (Measured in Meter) - Change in Radial Distance is the variation in distance from a pumping well to a specific point in an aquifer over time.

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 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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< Steady Flow into a Well Calculators

Velocity of Flow by Darcy's Law at Radical Distance

LaTeX Go Velocity of Flow at Radial Distance = Coefficient of Permeability*(Change in Piezometric Head/Change in Radial Distance)

Change in Piezometric Head

LaTeX Go Change in Piezometric Head = Velocity of Flow at Radial Distance*Change in Radial Distance/Coefficient of Permeability

Change in Radial Distance

LaTeX Go Change in Radial Distance = Coefficient of Permeability*Change in Piezometric Head/Velocity of Flow at Radial Distance

Cylindrical Surface through which Velocity of Flow Occurs

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

Discharge Entering Cylindrical Surface to Well Discharge Formula

LaTeX Go

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 Piezometric Head/Change in Radial Distance)) to calculate the Discharge Entering Cylindrical Surface into Well, The Discharge Entering Cylindrical Surface to Well Discharge formula is defined as 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 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 formula is defined as 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 Piezometric Head/Change in Radial Distance)). Radial Distance is the distance from the pumped well to the observation well located, Width of Aquifer is the horizontal extent or lateral dimension of the aquifer perpendicular to the direction of groundwater flow, Coefficient of Permeability is the measure of the ability of a porous material (such as soil or rock) to transmit fluids through it. It quantifies how easily water can flow through the material, Change in Piezometric Head is the difference in hydraulic head between two points within an aquifer or groundwater system & Change in Radial Distance is the variation in distance from a pumping well to a specific point in an aquifer over time.

How to calculate Discharge Entering Cylindrical Surface to Well Discharge?

The Discharge Entering Cylindrical Surface to Well Discharge formula is defined as 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 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 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 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 Piezometric Head & Change in Radial Distance. We can use 1 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)

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