Distance from pumping well to observation well Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance from Pumping Well = sqrt((2.25*Transmissivity*Time at the Point of Intersection)/Storage Coefficient)
r = sqrt((2.25*τ*to)/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 - (Measured in Meter) - Distance from Pumping Well to the point where drawdown occurs.
Transmissivity - (Measured in Square Meter per Second) - Transmissivity describes the ability of the to transmit groundwater throughout its entire saturated thickness.
Time at the Point of Intersection - (Measured in Minute) - Time at the Point of Intersection between Straight Line and Zero-drawdown Line.
Storage Coefficient - Storage Coefficient 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: 1.4 Square Meter per Second --> 1.4 Square Meter per Second No Conversion Required
Time at the Point of Intersection: 120 Minute --> 120 Minute No Conversion Required
Storage Coefficient: 85 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = sqrt((2.25*τ*to)/S) --> sqrt((2.25*1.4*120)/85)
Evaluating ... ...
r = 2.10880507006442
STEP 3: Convert Result to Output's Unit
2.10880507006442 Meter --> No Conversion Required
FINAL ANSWER
2.10880507006442 2.108805 Meter <-- Distance from Pumping Well
(Calculation completed in 00.004 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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8 Time-Drawdown Analysis Calculators

Distance from pumping well to observation well
Go Distance from Pumping Well = sqrt((2.25*Transmissivity*Time at the Point of Intersection)/Storage Coefficient)
Time at which Steady Shape Conditions Develop
Go Time at Which Steady-shape Conditions Develop = (7200*Distance from Pumping Well^2*Storage Coefficient)/Transmissivity
Storage Coefficient given time at which Steady Shape conditions develops
Go Storage Coefficient = Transmissivity*Time at Which Steady-shape Conditions Develop/7200*Distance from Pumping Well^2
Modified equation for storage coefficient from time drawdown graphs
Go Storage Coefficient = (Transmissivity*Time at the Point of Intersection)/(640*Distance from Pumping Well^2)
Transmissivity derived from time drawdown graphs
Go Transmissivity = (2.3*Pumping Rate)/(4*pi*Drawdown Across One Log Cycle)
Equation for drawdown across one log cycle
Go Drawdown Across Log Cycle = (2.3*Pumping Rate)/(Transmissivity*4*pi)
Equation for pumping rate of transmissivity from time drawdown graphs
Go Pumping Rate = (Transmissivity*4*pi*Drawdown Across Log Cycle)/2.3
Modified equation for transmissivity from time drawdown graphs
Go Transmissivity = 35*Pumping Rate/Drawdown Across One Log Cycle

Distance from pumping well to observation well Formula

Distance from Pumping Well = sqrt((2.25*Transmissivity*Time at the Point of Intersection)/Storage Coefficient)
r = sqrt((2.25*τ*to)/S)

What is Storage coefficient?

Storage coefficient 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 to observation well?

Distance from pumping well to observation well calculator uses Distance from Pumping Well = sqrt((2.25*Transmissivity*Time at the Point of Intersection)/Storage Coefficient) to calculate the Distance from Pumping Well, The Distance from pumping well to observation well depends on the variables of Transmissivity, time at the point where the straight line intersects the zero-drawdown line and the storage coefficient. Distance from Pumping Well is denoted by r symbol.

How to calculate Distance from pumping well to observation well using this online calculator? To use this online calculator for Distance from pumping well to observation well, enter Transmissivity (τ), Time at the Point of Intersection (to) & Storage Coefficient (S) and hit the calculate button. Here is how the Distance from pumping well to observation well calculation can be explained with given input values -> 2.108805 = sqrt((2.25*1.4*7200)/85).

FAQ

What is Distance from pumping well to observation well?
The Distance from pumping well to observation well depends on the variables of Transmissivity, time at the point where the straight line intersects the zero-drawdown line and the storage coefficient and is represented as r = sqrt((2.25*τ*to)/S) or Distance from Pumping Well = sqrt((2.25*Transmissivity*Time at the Point of Intersection)/Storage Coefficient). Transmissivity describes the ability of the to transmit groundwater throughout its entire saturated thickness, Time at the Point of Intersection between Straight Line and Zero-drawdown Line & Storage Coefficient 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 to observation well?
The Distance from pumping well to observation well depends on the variables of Transmissivity, time at the point where the straight line intersects the zero-drawdown line and the storage coefficient is calculated using Distance from Pumping Well = sqrt((2.25*Transmissivity*Time at the Point of Intersection)/Storage Coefficient). To calculate Distance from pumping well to observation well, you need Transmissivity (τ), Time at the Point of Intersection (to) & Storage Coefficient (S). With our tool, you need to enter the respective value for Transmissivity, Time at the Point of Intersection & Storage Coefficient 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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