Time at which Drawdown is Caused by Image Well at Observation Well Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time of Drawdown caused by Image Well = Distance from Observation Well to Image Well^2*Time of Drawdown caused by Real Well/Distance from Observation Well to Real Well^2
ti = ri^2*tr/rr^2
This formula uses 4 Variables
Variables Used
Time of Drawdown caused by Image Well - (Measured in Second) - Time of Drawdown caused by Image Well at the observation well.
Distance from Observation Well to Image Well - (Measured in Meter) - Distance from Observation Well to Image Well is the hydraulic distance to boundaries from the analysis of aquifer-test data.
Time of Drawdown caused by Real Well - (Measured in Second) - Time of Drawdown caused by Real Well at the observation well.
Distance from Observation Well to Real Well - (Measured in Meter) - Distance from Observation Well to Real Well is the hydraulic distance to boundaries from the analysis of aquifer-test data.
STEP 1: Convert Input(s) to Base Unit
Distance from Observation Well to Image Well: 30 Meter --> 30 Meter No Conversion Required
Time of Drawdown caused by Real Well: 150 Minute --> 9000 Second (Check conversion ​here)
Distance from Observation Well to Real Well: 26 Meter --> 26 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ti = ri^2*tr/rr^2 --> 30^2*9000/26^2
Evaluating ... ...
ti = 11982.2485207101
STEP 3: Convert Result to Output's Unit
11982.2485207101 Second -->199.704142011834 Minute (Check conversion ​here)
FINAL ANSWER
199.704142011834 199.7041 Minute <-- Time of Drawdown caused by Image Well
(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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NSS College of Engineering (NSSCE), Palakkad
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Test Affected by Lateral Boundaries Calculators

Distance from observation well to image well
​ LaTeX ​ Go Distance from Observation Well to Image Well = Distance from Observation Well to Real Well*sqrt(Time of Drawdown caused by Image Well/Time of Drawdown caused by Real Well)
Distance from observation well to real well
​ LaTeX ​ Go Distance from Observation Well to Real Well = Distance from Observation Well to Image Well*sqrt(Time of Drawdown caused by Real Well/Time of Drawdown caused by Image Well)
Time at which Drawdown is Caused by Image Well at Observation Well
​ LaTeX ​ Go Time of Drawdown caused by Image Well = Distance from Observation Well to Image Well^2*Time of Drawdown caused by Real Well/Distance from Observation Well to Real Well^2
Time at which drawdown is caused by real well at observation well
​ LaTeX ​ Go Time of Drawdown caused by Real Well = Distance from Observation Well to Real Well^2*Time of Drawdown caused by Image Well/Distance from Observation Well to Image Well^2

Time at which Drawdown is Caused by Image Well at Observation Well Formula

​LaTeX ​Go
Time of Drawdown caused by Image Well = Distance from Observation Well to Image Well^2*Time of Drawdown caused by Real Well/Distance from Observation Well to Real Well^2
ti = ri^2*tr/rr^2

What is Image Well Theory?

According to Image Well Theory, the effect of a recharge boundary can be duplicated by assuming that water is injected into the aquifer through a recharging image well at the same rate that water is being withdrawn from the real well .

How to Calculate Time at which Drawdown is Caused by Image Well at Observation Well?

Time at which Drawdown is Caused by Image Well at Observation Well calculator uses Time of Drawdown caused by Image Well = Distance from Observation Well to Image Well^2*Time of Drawdown caused by Real Well/Distance from Observation Well to Real Well^2 to calculate the Time of Drawdown caused by Image Well, The Time at which Drawdown is caused by Image Well at Observation Well is the hydraulic distance to boundaries can be determined from the analysis of aquifer-test data . According to the Theis equation, if we deal with equal drawdowns caused by the real well and the image well. Time of Drawdown caused by Image Well is denoted by ti symbol.

How to calculate Time at which Drawdown is Caused by Image Well at Observation Well using this online calculator? To use this online calculator for Time at which Drawdown is Caused by Image Well at Observation Well, enter Distance from Observation Well to Image Well (ri), Time of Drawdown caused by Real Well (tr) & Distance from Observation Well to Real Well (rr) and hit the calculate button. Here is how the Time at which Drawdown is Caused by Image Well at Observation Well calculation can be explained with given input values -> 3.328402 = 30^2*9000/26^2.

FAQ

What is Time at which Drawdown is Caused by Image Well at Observation Well?
The Time at which Drawdown is caused by Image Well at Observation Well is the hydraulic distance to boundaries can be determined from the analysis of aquifer-test data . According to the Theis equation, if we deal with equal drawdowns caused by the real well and the image well and is represented as ti = ri^2*tr/rr^2 or Time of Drawdown caused by Image Well = Distance from Observation Well to Image Well^2*Time of Drawdown caused by Real Well/Distance from Observation Well to Real Well^2. Distance from Observation Well to Image Well is the hydraulic distance to boundaries from the analysis of aquifer-test data, Time of Drawdown caused by Real Well at the observation well & Distance from Observation Well to Real Well is the hydraulic distance to boundaries from the analysis of aquifer-test data.
How to calculate Time at which Drawdown is Caused by Image Well at Observation Well?
The Time at which Drawdown is caused by Image Well at Observation Well is the hydraulic distance to boundaries can be determined from the analysis of aquifer-test data . According to the Theis equation, if we deal with equal drawdowns caused by the real well and the image well is calculated using Time of Drawdown caused by Image Well = Distance from Observation Well to Image Well^2*Time of Drawdown caused by Real Well/Distance from Observation Well to Real Well^2. To calculate Time at which Drawdown is Caused by Image Well at Observation Well, you need Distance from Observation Well to Image Well (ri), Time of Drawdown caused by Real Well (tr) & Distance from Observation Well to Real Well (rr). With our tool, you need to enter the respective value for Distance from Observation Well to Image Well, Time of Drawdown caused by Real Well & Distance from Observation Well to Real Well 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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