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))
ro = 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) - The Distance from Pumping Well to Point Intersection is referred as the straight line which 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) - The Time refers to 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) - The Storage Coefficient (Well-Field Design) refers to 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
ro = sqrt(2.25*T*t/S) --> sqrt(2.25*11*4/6.2)
Evaluating ... ...
ro = 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)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Well Field Design Calculators

Distance from Pumping Well
​ LaTeX ​ 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
​ LaTeX ​ Go Storage Coefficient (Well-Field Design) = (2.25*Transmissivity*Time)/(Distance from Pumping Well to Point Intersection^2)
Transmissivity given Distance from Pumping Well
​ LaTeX ​ Go Transmissivity = Distance from Pumping Well to Point Intersection^2*Storage Coefficient (Well-Field Design)/(2.25*Time)
First Estimate of Pumping Rate
​ LaTeX ​ Go First Estimate of the Pumping Rate = 2.7*Transmissivity*Drawdown Across One Log Cycle

Distance from Pumping Well Formula

​LaTeX ​Go
Distance from Pumping Well to Point Intersection = sqrt(2.25*Transmissivity*Time/Storage Coefficient (Well-Field Design))
ro = 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 formula is defined as 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 ro 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 formula is defined as 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 ro = 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, The Time refers to as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future & The Storage Coefficient (Well-Field Design) refers to 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 formula is defined as 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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