Equation for Well Function series to number of 4 digits Calculator

✖Well Parameter for the unsteady flow in confined aquifer. Confined aquifers are permeable rock units that are usually deeper under the ground than unconfined aquifers.ⓘ Well Parameter [u]

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✖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.ⓘ Equation for Well Function series to number of 4 digits [W_u]

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Formula

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Equation for Well Function series to number of 4 digits

Formula

`"W"_{"u"} = -0.577216-ln("u")+"u"-("u"^2/2.2!)+("u"^3/3.3!)`

Example

`"0.38961"=-0.577216-ln("0.6")+"0.6"-(("0.6")^2/2.2!)+(("0.6")^3/3.3!)`

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Equation for Well Function series to number of 4 digits Solution

STEP 0: Pre-Calculation Summary

Formula Used

Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!)
W_u = -0.577216-ln(u)+u-(u^2/2.2!)+(u^3/3.3!)
This formula uses 1 Functions, 2 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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.
Well Parameter - Well Parameter for the unsteady flow in confined aquifer. Confined aquifers are permeable rock units that are usually deeper under the ground than unconfined aquifers.

STEP 1: Convert Input(s) to Base Unit

Well Parameter: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_u = -0.577216-ln(u)+u-(u^2/2.2!)+(u^3/3.3!) --> -0.577216-ln(0.6)+0.6-(0.6^2/2.2!)+(0.6^3/3.3!)

Evaluating ... ...

W_u = 0.389609623765991

STEP 3: Convert Result to Output's Unit

0.389609623765991 --> No Conversion Required

FINAL ANSWER

0.389609623765991 ≈ 0.38961 <-- Well Function of u

(Calculation completed in 00.004 seconds)

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< 11 Unsteady Flow in a Confined Aquifer Calculators

Equation for Drawdown

Go Total Drawdown = (Discharge/(4*pi*Transmissivity))*ln((2.2*Transmissivity*Time Period)/(Distance from Pumping Well^2*Storage Coefficient))

Drawdown at Time Interval 't1'

Go Drawdown at time interval t1 = Drawdown at time interval t2-((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1)))

Drawdown at Time Interval 't2'

Go Drawdown at time interval t2 = ((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1)))+Drawdown at time interval t1

Equation for Well Function series to number of 4 digits

Go Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!)

Equation for Well Parameter

Go Well Parameter = (Distance from Pumping Well^2*Storage Coefficient)/(4*Transmissivity*Time Period)

Distance from Pumping Well given Storage Coefficient

Go Distance from Pumping Well = sqrt((2.25*Transmissivity*Starting Time/Storage Coefficient))

Initial Time given Pumping Well along with Storage Coefficient

Go Starting Time = (Storage Coefficient*Distance from Pumping Well^2)/(2.25*Transmissivity)

Transmissivity about given storage coefficient

Go Transmissivity = (Storage Coefficient*Distance from Pumping Well^2)/(2.25*Starting Time)

Equation for Storage Coefficient

Go Storage Coefficient = 2.25*Transmissivity*Starting Time/Distance from Pumping Well^2

Initial Constant Piezometric Head given drawdown

Go Initial constant Piezometric Head = Possible Drawdown in Confined Aquifer+Drawdown at time t

Drawdown given Piezometric Head

Go Possible Drawdown in Confined Aquifer = Initial constant Piezometric Head-Drawdown at time t

Equation for Well Function series to number of 4 digits Formula

Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!)
W_u = -0.577216-ln(u)+u-(u^2/2.2!)+(u^3/3.3!)

What is Drawdown in Hydrology?

Drawdown is a change in groundwater level due to an applied stress, caused by events such as: Pumping from a well. Pumping from a neighboring well. Intensive water taking from local area. Seasonal declines as recharge rates lower.

How to Calculate Equation for Well Function series to number of 4 digits?

Equation for Well Function series to number of 4 digits calculator uses Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!) to calculate the Well Function of u, Equation for Well Function series to number of 4 digits is calculated by series to required number of significant digits. Well Function of u is denoted by W_u symbol.

How to calculate Equation for Well Function series to number of 4 digits using this online calculator? To use this online calculator for Equation for Well Function series to number of 4 digits, enter Well Parameter (u) and hit the calculate button. Here is how the Equation for Well Function series to number of 4 digits calculation can be explained with given input values -> 0.38961 = -0.577216-ln(0.6)+0.6-(0.6^2/2.2!)+(0.6^3/3.3!).

FAQ

What is Equation for Well Function series to number of 4 digits?

Equation for Well Function series to number of 4 digits is calculated by series to required number of significant digits and is represented as W_u = -0.577216-ln(u)+u-(u^2/2.2!)+(u^3/3.3!) or Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!). Well Parameter for the unsteady flow in confined aquifer. Confined aquifers are permeable rock units that are usually deeper under the ground than unconfined aquifers.

How to calculate Equation for Well Function series to number of 4 digits?

Equation for Well Function series to number of 4 digits is calculated by series to required number of significant digits is calculated using Well Function of u = -0.577216-ln(Well Parameter)+Well Parameter-(Well Parameter^2/2.2!)+(Well Parameter^3/3.3!). To calculate Equation for Well Function series to number of 4 digits, you need Well Parameter (u). With our tool, you need to enter the respective value for Well Parameter 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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