Equation for drawdown across one log cycle Calculator

✖Pumping Rate is the actual volumetric pumping rate.ⓘ Pumping Rate [Q]			+10% -10%
✖Transmissivity describes the ability of the to transmit groundwater throughout its entire saturated thickness.ⓘ Transmissivity [τ]			+10% -10%

✖Drawdown Across Log Cycle from Time-drawdown graphs.ⓘ Equation for drawdown across one log cycle [Δs_D]

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Formula

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Equation for drawdown across one log cycle

Formula

`"Δs"_{"D"} = (2.3*"Q")/("τ"*4*pi)`

Example

`"0.915141"=(2.3*"7m³/s")/("1.4m²/s"*4*pi)`

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Equation for drawdown across one log cycle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Drawdown Across Log Cycle = (2.3*Pumping Rate)/(Transmissivity*4*pi)
Δs_D = (2.3*Q)/(τ*4*pi)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Drawdown Across Log Cycle - Drawdown Across Log Cycle from Time-drawdown graphs.
Pumping Rate - (Measured in Cubic Meter per Second) - Pumping Rate is the actual volumetric pumping rate.
Transmissivity - (Measured in Square Meter per Second) - Transmissivity describes the ability of the to transmit groundwater throughout its entire saturated thickness.

STEP 1: Convert Input(s) to Base Unit

Pumping Rate: 7 Cubic Meter per Second --> 7 Cubic Meter per Second No Conversion Required
Transmissivity: 1.4 Square Meter per Second --> 1.4 Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δs_D = (2.3*Q)/(τ*4*pi) --> (2.3*7)/(1.4*4*pi)

Evaluating ... ...

Δs_D = 0.915140922778398

STEP 3: Convert Result to Output's Unit

0.915140922778398 --> No Conversion Required

FINAL ANSWER

0.915140922778398 ≈ 0.915141 <-- Drawdown Across Log Cycle

(Calculation completed in 00.004 seconds)

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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

Equation for drawdown across one log cycle Formula

Drawdown Across Log Cycle = (2.3*Pumping Rate)/(Transmissivity*4*pi)
Δs_D = (2.3*Q)/(τ*4*pi)

What is Drawdown?

Drawdown is the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.

How to Calculate Equation for drawdown across one log cycle?

Equation for drawdown across one log cycle calculator uses Drawdown Across Log Cycle = (2.3*Pumping Rate)/(Transmissivity*4*pi) to calculate the Drawdown Across Log Cycle, The Equation for drawdown across one log cycle when transmissivity is given as the reduction in hydraulic head observed at a well in an aquifer. Drawdown Across Log Cycle is denoted by Δs_D symbol.

How to calculate Equation for drawdown across one log cycle using this online calculator? To use this online calculator for Equation for drawdown across one log cycle, enter Pumping Rate (Q) & Transmissivity (τ) and hit the calculate button. Here is how the Equation for drawdown across one log cycle calculation can be explained with given input values -> 0.915141 = (2.3*7)/(1.4*4*pi).

FAQ

What is Equation for drawdown across one log cycle?

The Equation for drawdown across one log cycle when transmissivity is given as the reduction in hydraulic head observed at a well in an aquifer and is represented as Δs_D = (2.3*Q)/(τ*4*pi) or Drawdown Across Log Cycle = (2.3*Pumping Rate)/(Transmissivity*4*pi). Pumping Rate is the actual volumetric pumping rate & Transmissivity describes the ability of the to transmit groundwater throughout its entire saturated thickness.

How to calculate Equation for drawdown across one log cycle?

The Equation for drawdown across one log cycle when transmissivity is given as the reduction in hydraulic head observed at a well in an aquifer is calculated using Drawdown Across Log Cycle = (2.3*Pumping Rate)/(Transmissivity*4*pi). To calculate Equation for drawdown across one log cycle, you need Pumping Rate (Q) & Transmissivity (τ). With our tool, you need to enter the respective value for Pumping Rate & Transmissivity 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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