Distance from Pumping Well Calculator

✖Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it.ⓘ Transmissivity [T]			+10% -10%
✖Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.ⓘ Time [t]			+10% -10%
✖Storage Coefficient (Well-Field Design) is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.ⓘ Storage Coefficient (Well-Field Design) [S]			+10% -10%

✖Distance from Pumping Well to Point Intersection where the straight line intersects the Zero-drawdown line.ⓘ Distance from Pumping Well [r_o]

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Formula

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Distance from Pumping Well

Formula

`"r"_{"o"} = sqrt(2.25*"T"*"t"/"S")`

Example

`"3.995966m"=sqrt(2.25*"11m²/s"*"4h"/"6.2")`

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Distance from Pumping Well Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance from Pumping Well to Point Intersection = sqrt(2.25*Transmissivity*Time/Storage Coefficient (Well-Field Design))
r_o = sqrt(2.25*T*t/S)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Distance from Pumping Well to Point Intersection - (Measured in Meter) - Distance from Pumping Well to Point Intersection where the straight line intersects the Zero-drawdown line.
Transmissivity - (Measured in Square Meter per Second) - Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it.
Time - (Measured in Hour) - Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.
Storage Coefficient (Well-Field Design) - Storage Coefficient (Well-Field Design) is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.

STEP 1: Convert Input(s) to Base Unit

Transmissivity: 11 Square Meter per Second --> 11 Square Meter per Second No Conversion Required
Time: 4 Hour --> 4 Hour No Conversion Required
Storage Coefficient (Well-Field Design): 6.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_o = sqrt(2.25*T*t/S) --> sqrt(2.25*11*4/6.2)

Evaluating ... ...

r_o = 3.99596570749598

STEP 3: Convert Result to Output's Unit

3.99596570749598 Meter --> No Conversion Required

FINAL ANSWER

3.99596570749598 ≈ 3.995966 Meter <-- Distance from Pumping Well to Point Intersection

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 6 Well-Field Design Calculators

Distance from Pumping Well

Go Distance from Pumping Well to Point Intersection = sqrt(2.25*Transmissivity*Time/Storage Coefficient (Well-Field Design))

Storage coefficient given distance from pumping well

Go Storage Coefficient (Well-Field Design) = (2.25*Transmissivity*Time)/(Distance from Pumping Well to Point Intersection^2)

Transmissivity given distance from pumping well

Go Transmissivity = Distance from Pumping Well to Point Intersection^2*Storage Coefficient (Well-Field Design)/(2.25*Time)

Drawdown across one log cycle given first estimate of pumping rate

Go Drawdown Across One Log Cycle = First Estimate of the Pumping Rate/(2.7*Transmissivity)

Transmissivity for first estimate of pumping rate

Go Transmissivity = First Estimate of the Pumping Rate/(2.7*Drawdown Across One Log Cycle)

First estimate of pumping rate

Go First Estimate of the Pumping Rate = 2.7*Transmissivity*Drawdown Across One Log Cycle

Distance from Pumping Well Formula

Distance from Pumping Well to Point Intersection = sqrt(2.25*Transmissivity*Time/Storage Coefficient (Well-Field Design))
r_o = sqrt(2.25*T*t/S)

What is Pumping Well?

Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow. It is the opposite of a naturally flowing well because in such type of a well an external device such as a reciprocating pump is used to force the liquid to move out of the well.

How to Calculate Distance from Pumping Well?

Distance from Pumping Well calculator uses Distance from Pumping Well to Point Intersection = sqrt(2.25*Transmissivity*Time/Storage Coefficient (Well-Field Design)) to calculate the Distance from Pumping Well to Point Intersection, The Distance from Pumping Well is to the point of zero drawdowns on a semilogarithmic graph in which the drawdown is on the arithmetic scale and the distance is on the logarithmic scale. Distance from Pumping Well to Point Intersection is denoted by r_o symbol.

How to calculate Distance from Pumping Well using this online calculator? To use this online calculator for Distance from Pumping Well, enter Transmissivity (T), Time (t) & Storage Coefficient (Well-Field Design) (S) and hit the calculate button. Here is how the Distance from Pumping Well calculation can be explained with given input values -> 3.995966 = sqrt(2.25*11*14400/6.2).

FAQ

What is Distance from Pumping Well?

The Distance from Pumping Well is to the point of zero drawdowns on a semilogarithmic graph in which the drawdown is on the arithmetic scale and the distance is on the logarithmic scale and is represented as r_o = sqrt(2.25*T*t/S) or Distance from Pumping Well to Point Intersection = sqrt(2.25*Transmissivity*Time/Storage Coefficient (Well-Field Design)). Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it, Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future & Storage Coefficient (Well-Field Design) is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.

How to calculate Distance from Pumping Well?

The Distance from Pumping Well is to the point of zero drawdowns on a semilogarithmic graph in which the drawdown is on the arithmetic scale and the distance is on the logarithmic scale is calculated using Distance from Pumping Well to Point Intersection = sqrt(2.25*Transmissivity*Time/Storage Coefficient (Well-Field Design)). To calculate Distance from Pumping Well, you need Transmissivity (T), Time (t) & Storage Coefficient (Well-Field Design) (S). With our tool, you need to enter the respective value for Transmissivity, Time & Storage Coefficient (Well-Field Design) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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