Drawdown given Well Function Calculator

✖Discharge is the rate of flow of a liquid.ⓘ Discharge [Q]			+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%
✖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.ⓘ Drawdown given Well Function [s_t]

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Formula

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Drawdown given Well Function

Formula

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

Example

`"0.828539m"=("1.01m³/s"*"8.35")/(4*pi*"0.81m²/s")`

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Drawdown given Well Function Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Well Function of u: 8.35 --> No Conversion Required
Formation Constant for Unsteady Flow: 0.81 Square Meter per Second --> 0.81 Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s_t = (Q*W_u)/(4*pi*F_c) --> (1.01*8.35)/(4*pi*0.81)

Evaluating ... ...

s_t = 0.82853902010216

STEP 3: Convert Result to Output's Unit

0.82853902010216 Meter --> No Conversion Required

FINAL ANSWER

0.82853902010216 ≈ 0.828539 Meter <-- Total Drawdown in Well

(Calculation completed in 00.020 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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< 6 Drawdown and Change in Drawdown Calculators

Change in Drawdown given Time at 1st and 2nd Instance

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

Drawdown given Well Function

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

Change in Drawdown given Formation Constant T

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

Change in Drawdown given Chow's Function

Go Change in Drawdown = Total Drawdown in Well/Chow's Function

Chow's Function given Drawdown

Go Chow's Function = Total Drawdown in Well/Change in Drawdown

Drawdown given Chow's Function

Go Total Drawdown in Well = Chow's Function*Change in Drawdown

Drawdown given Well Function Formula

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

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 Drawdown given Well Function?

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

How to calculate Drawdown given Well Function using this online calculator? To use this online calculator for Drawdown given Well Function, enter Discharge (Q), Well Function of u (W_u) & Formation Constant for Unsteady Flow (F_c) and hit the calculate button. Here is how the Drawdown given Well Function calculation can be explained with given input values -> 0.828539 = (1.01*8.35)/(4*pi*0.81).

FAQ

What is Drawdown given Well Function?

The Drawdown given Well Function is defined as the value of drawdown when we have prior information of other parameters used and is represented as s_t = (Q*W_u)/(4*pi*F_c) or Total Drawdown in Well = (Discharge*Well Function of u)/(4*pi*Formation Constant for Unsteady Flow). Discharge is the rate of flow of a liquid, 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 & Formation Constant for Unsteady Flow is an equilibrium constant for the formation of a complex in solution.

How to calculate Drawdown given Well Function?

The Drawdown given Well Function is defined as the value of drawdown when we have prior information of other parameters used is calculated using Total Drawdown in Well = (Discharge*Well Function of u)/(4*pi*Formation Constant for Unsteady Flow). To calculate Drawdown given Well Function, you need Discharge (Q), Well Function of u (W_u) & Formation Constant for Unsteady Flow (F_c). With our tool, you need to enter the respective value for Discharge, Well Function of u & Formation Constant for Unsteady Flow 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 Total Drawdown in Well?

In this formula, Total Drawdown in Well uses Discharge, Well Function of u & Formation Constant for Unsteady Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Drawdown in Well = Chow's Function*Change in Drawdown

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