Time in Hours given Time at 1st and 2nd Instance since Pumping Started Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time in Hours = (2.303*Discharge*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Difference in Drawdowns)
thour = (2.303*Q*log((t2sec/t1),10))/(4*pi*Δs)
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)
Variables Used
Time in Hours - (Measured in Second) - Time in Hours can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future, measured in hours.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a fluid in unsteady flow.
Time of Drawdown (t2) in Wells - (Measured in Second) - Time of Drawdown (t2) in Wells is the total period for the difference between the pumping water level and the static (non-pumping) water level for wells.
Time of Drawdown (t1) in Wells - (Measured in Second) - Time of Drawdown (t1) in Wells is the total period for the difference between the pumping water level and the static (non-pumping) water level for wells.
Difference in Drawdowns - (Measured in Meter) - Difference in Drawdowns between the two wells.
STEP 1: Convert Input(s) to Base Unit
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Time of Drawdown (t2) in Wells: 62 Second --> 62 Second No Conversion Required
Time of Drawdown (t1) in Wells: 58.7 Second --> 58.7 Second No Conversion Required
Difference in Drawdowns: 0.014 Meter --> 0.014 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
thour = (2.303*Q*log((t2sec/t1),10))/(4*pi*Δs) --> (2.303*1.01*log((62/58.7),10))/(4*pi*0.014)
Evaluating ... ...
thour = 556.606390179623
STEP 3: Convert Result to Output's Unit
556.606390179623 Second -->0.154612886161006 Hour (Check conversion ​here)
FINAL ANSWER
0.154612886161006 0.154613 Hour <-- Time in Hours
(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Time of Flow Calculators

Time in Hours given Time at 1st and 2nd Instance since Pumping Started
​ LaTeX ​ Go Time in Hours = (2.303*Discharge*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Difference in Drawdowns)
Time at 1st Instance since Pumping Started given Discharge
​ LaTeX ​ Go Time of Drawdown (t1) in Wells = Time of Drawdown/10^(Difference in Drawdowns/((2.303*Discharge)/(4*pi*Time in Seconds)))
Time given Formation Constant S
​ LaTeX ​ Go Time in Days = Formation Constant S/((4*Well Function Constant*Formation Constant T)/(Radial Distance)^2)
Time in Days given Radial Distance
​ LaTeX ​ Go Time in Days = Formation Constant S/((2.25*Formation Constant T)/(Radial Distance)^2)

Time in Hours given Time at 1st and 2nd Instance since Pumping Started Formula

​LaTeX ​Go
Time in Hours = (2.303*Discharge*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Difference in Drawdowns)
thour = (2.303*Q*log((t2sec/t1),10))/(4*pi*Δs)

What is Drawdown?

A drawdown is a peak-to-trough decline during a specific period for an investment, trading account, or fund. A drawdown is usually quoted as the percentage between the peak and the subsequent trough.

How to Calculate Time in Hours given Time at 1st and 2nd Instance since Pumping Started?

Time in Hours given Time at 1st and 2nd Instance since Pumping Started calculator uses Time in Hours = (2.303*Discharge*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Difference in Drawdowns) to calculate the Time in Hours, Time in Hours given Time at 1st and 2nd Instance since Pumping Started formula is defined as a measure of the time elapsed in hours since pumping started, considering the unsteady flow context, where the time at the first and second instances are known, enabling the calculation of the time in hours. Time in Hours is denoted by thour symbol.

How to calculate Time in Hours given Time at 1st and 2nd Instance since Pumping Started using this online calculator? To use this online calculator for Time in Hours given Time at 1st and 2nd Instance since Pumping Started, enter Discharge (Q), Time of Drawdown (t2) in Wells (t2sec), Time of Drawdown (t1) in Wells (t1) & Difference in Drawdowns (Δs) and hit the calculate button. Here is how the Time in Hours given Time at 1st and 2nd Instance since Pumping Started calculation can be explained with given input values -> 4.3E-5 = (2.303*1.01*log((62/58.7),10))/(4*pi*0.014).

FAQ

What is Time in Hours given Time at 1st and 2nd Instance since Pumping Started?
Time in Hours given Time at 1st and 2nd Instance since Pumping Started formula is defined as a measure of the time elapsed in hours since pumping started, considering the unsteady flow context, where the time at the first and second instances are known, enabling the calculation of the time in hours and is represented as thour = (2.303*Q*log((t2sec/t1),10))/(4*pi*Δs) or Time in Hours = (2.303*Discharge*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Difference in Drawdowns). Discharge is the rate of flow of a fluid in unsteady flow, Time of Drawdown (t2) in Wells is the total period for the difference between the pumping water level and the static (non-pumping) water level for wells, Time of Drawdown (t1) in Wells is the total period for the difference between the pumping water level and the static (non-pumping) water level for wells & Difference in Drawdowns between the two wells.
How to calculate Time in Hours given Time at 1st and 2nd Instance since Pumping Started?
Time in Hours given Time at 1st and 2nd Instance since Pumping Started formula is defined as a measure of the time elapsed in hours since pumping started, considering the unsteady flow context, where the time at the first and second instances are known, enabling the calculation of the time in hours is calculated using Time in Hours = (2.303*Discharge*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Difference in Drawdowns). To calculate Time in Hours given Time at 1st and 2nd Instance since Pumping Started, you need Discharge (Q), Time of Drawdown (t2) in Wells (t2sec), Time of Drawdown (t1) in Wells (t1) & Difference in Drawdowns (Δs). With our tool, you need to enter the respective value for Discharge, Time of Drawdown (t2) in Wells, Time of Drawdown (t1) in Wells & Difference in Drawdowns 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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