Discharge given Drawdown Calculator

✖Formation Constant for Unsteady Flow is an equilibrium constant for the formation of a complex in solution.ⓘ Formation Constant for Unsteady Flow [F_c]			+10% -10%
✖The Total Drawdown in Well is defined as 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.ⓘ Total Drawdown in Well [s_t]			+10% -10%
✖Well Function of u is the data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u.ⓘ Well Function of u [W_u]			+10% -10%

✖Discharge is the rate of flow of a liquid.ⓘ Discharge given Drawdown [Q]

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Formula

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Discharge given Drawdown

Formula

`"Q" = (4*pi*"F"_{"c"}*"s"_{"t"})/"W"_{"u"}`

Example

`"1.011781m³/s"=(4*pi*"0.81m²/s"*"0.83m")/"8.35"`

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Discharge given Drawdown Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = (4*pi*Formation Constant for Unsteady Flow*Total Drawdown in Well)/Well Function of u
Q = (4*pi*F_c*s_t)/W_u
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Formation Constant for Unsteady Flow - (Measured in Square Meter per Second) - Formation Constant for Unsteady Flow is an equilibrium constant for the formation of a complex in solution.
Total Drawdown in Well - (Measured in Meter) - The Total Drawdown in Well is defined as 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.
Well Function of u - Well Function of u is the data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u.

STEP 1: Convert Input(s) to Base Unit

Formation Constant for Unsteady Flow: 0.81 Square Meter per Second --> 0.81 Square Meter per Second No Conversion Required
Total Drawdown in Well: 0.83 Meter --> 0.83 Meter No Conversion Required
Well Function of u: 8.35 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (4*pi*F_c*s_t)/W_u --> (4*pi*0.81*0.83)/8.35

Evaluating ... ...

Q = 1.01178095377649

STEP 3: Convert Result to Output's Unit

1.01178095377649 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.01178095377649 ≈ 1.011781 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 3 Discharge in Well Calculators

Discharge given Time at 1st and 2nd Instance

Go Discharge = Change in Drawdown/((2.303*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Time in Hours for Well Discharge))

Discharge given Drawdown

Go Discharge = (4*pi*Formation Constant for Unsteady Flow*Total Drawdown in Well)/Well Function of u

Discharge given Formation Constant T

Go Discharge = Formation Constant for Unsteady Flow/((2.303)/(4*pi*Change in Drawdown))

Discharge given Drawdown Formula

Discharge = (4*pi*Formation Constant for Unsteady Flow*Total Drawdown in Well)/Well Function of u
Q = (4*pi*F_c*s_t)/W_u

What is Discharge?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

How to Calculate Discharge given Drawdown?

Discharge given Drawdown calculator uses Discharge = (4*pi*Formation Constant for Unsteady Flow*Total Drawdown in Well)/Well Function of u to calculate the Discharge, The Discharge given Drawdown is defined as the value of discharge when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Discharge given Drawdown using this online calculator? To use this online calculator for Discharge given Drawdown, enter Formation Constant for Unsteady Flow (F_c), Total Drawdown in Well (s_t) & Well Function of u (W_u) and hit the calculate button. Here is how the Discharge given Drawdown calculation can be explained with given input values -> 0.12312 = (4*pi*0.81*0.83)/8.35.

FAQ

What is Discharge given Drawdown?

The Discharge given Drawdown is defined as the value of discharge when we have prior information of other parameters used and is represented as Q = (4*pi*F_c*s_t)/W_u or Discharge = (4*pi*Formation Constant for Unsteady Flow*Total Drawdown in Well)/Well Function of u. Formation Constant for Unsteady Flow is an equilibrium constant for the formation of a complex in solution, The Total Drawdown in Well is defined as 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 & Well Function of u is the data plot of drawdown versus time (or drawdown versus t/rz) is matched to the type curve of W(u) versus 1/u.

How to calculate Discharge given Drawdown?

The Discharge given Drawdown is defined as the value of discharge when we have prior information of other parameters used is calculated using Discharge = (4*pi*Formation Constant for Unsteady Flow*Total Drawdown in Well)/Well Function of u. To calculate Discharge given Drawdown, you need Formation Constant for Unsteady Flow (F_c), Total Drawdown in Well (s_t) & Well Function of u (W_u). With our tool, you need to enter the respective value for Formation Constant for Unsteady Flow, Total Drawdown in Well & Well Function of u and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Discharge?

In this formula, Discharge uses Formation Constant for Unsteady Flow, Total Drawdown in Well & Well Function of u. We can use 2 other way(s) to calculate the same, which is/are as follows -

Discharge = Formation Constant for Unsteady Flow/((2.303)/(4*pi*Change in Drawdown))
Discharge = Change in Drawdown/((2.303*log((Time of Drawdown (t2) in Wells/Time of Drawdown (t1) in Wells),10))/(4*pi*Time in Hours for Well Discharge))

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