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Constant Depression Head given Discharge and Time in Hours Formula

GoConstant Depression Head given Discharge from Well Formula

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Constant Depression Head is the constant value of head in the well. Check FAQs

H' = \frac{Q}{\frac{2.303 \cdot A csw \cdot \log ((\frac{h d}{h w2}), 10)}{t}}

H' - Constant Depression Head?Q - Discharge in Well?A_csw - Cross-Sectional Area of Well?h_d - Depression Head?h_w2 - Depression Head in Well 2?t - Time?

Constant Depression Head given Discharge and Time in Hours Example

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Here is how the Constant Depression Head given Discharge and Time in Hours equation looks like with Values.

Here is how the Constant Depression Head given Discharge and Time in Hours equation looks like with Units.

Here is how the Constant Depression Head given Discharge and Time in Hours equation looks like.

0.0571 = \frac{0.99}{\frac{2.303 \cdot 13 \cdot \log ((\frac{27}{10}), 10)}{4}}

0.0571 = \frac{0.99m³/s}{\frac{2.303 \cdot 13m² \cdot \log ((\frac{27m}{10m}), 10)}{4h}}

0.0571 = \frac{0.99}{\frac{2.303 \cdot 13 \cdot \log ((\frac{27}{10}), 10)}{4}}

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Constant Depression Head given Discharge and Time in Hours Solution

Follow our step by step solution on how to calculate Constant Depression Head given Discharge and Time in Hours?

FIRST Step Consider the formula

H' = \frac{Q}{\frac{2.303 \cdot A csw \cdot \log ((\frac{h d}{h w2}), 10)}{t}}

Next Step Substitute values of Variables

∴

H' = \frac{0.99m³/s}{\frac{2.303 \cdot 13m² \cdot \log ((\frac{27m}{10m}), 10)}{4h}}

Next Step Prepare to Evaluate

∴

H' = \frac{0.99}{\frac{2.303 \cdot 13 \cdot \log ((\frac{27}{10}), 10)}{4}}

Next Step Evaluate

∴

H' = 0.0570560307982761

LAST Step Rounding Answer

∴

H' = 0.0571

Constant Depression Head given Discharge and Time in Hours Formula Elements

Variables

Functions

Constant Depression Head

Constant Depression Head is the constant value of head in the well.

Symbol: H'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant Depression Head

Discharge in Well

Discharge in Well is the rate of flow of a liquid in well.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Well

Cross-Sectional Area of Well

Cross-Sectional Area of Well is the the surface area of the interior opening of the well.

Symbol: A_csw

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area of Well

Depression Head

Depression Head is the difference of level of waters table and the water level in the well when pumping stopped.

Symbol: h_d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depression Head

Depression Head in Well 2

Depression Head in Well 2 is depression head in the well at a time T after the pumping stopped.

Symbol: h_w2

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depression Head in Well 2

Time

Time refers to the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.

Symbol: t

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Time

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other Formulas to find Constant Depression Head

Go Constant Depression Head given Discharge from Well

H' = \frac{Q}{K}

Other formulas in Constant Depending upon Base Soil category

Go Constant Depending upon Soil at Base of Well given Specific Capacity

K = A sec \cdot S si

Go Constant Depending upon Soil at Base of Well

K = (\frac{A cs}{t}) \cdot \log ((\frac{h d}{h w2}), e)

Go Constant Depending upon Soil at Base of Well with Base 10

K = (\frac{A sec \cdot 2.303}{t}) \cdot \log ((\frac{h d}{h w2}), 10)

Go Constant Depending upon Soil at Base of Well given Clay Soil

K = 0.25 \cdot A cs

How to Evaluate Constant Depression Head given Discharge and Time in Hours?

Constant Depression Head given Discharge and Time in Hours evaluator uses Constant Depression Head = Discharge in Well/((2.303*Cross-Sectional Area of Well*log((Depression Head/Depression Head in Well 2),10))/Time) to evaluate the Constant Depression Head, The Constant Depression Head given Discharge and Time in Hours formula is defined as the calculation of the value of constant depression head when we have prior information of other parameters used. Constant Depression Head is denoted by H' symbol.

How to evaluate Constant Depression Head given Discharge and Time in Hours using this online evaluator? To use this online evaluator for Constant Depression Head given Discharge and Time in Hours, enter Discharge in Well (Q), Cross-Sectional Area of Well (A_csw), Depression Head (h_d), Depression Head in Well 2 (h_w2) & Time (t) and hit the calculate button.

FAQs on Constant Depression Head given Discharge and Time in Hours

What is the formula to find Constant Depression Head given Discharge and Time in Hours?

The formula of Constant Depression Head given Discharge and Time in Hours is expressed as Constant Depression Head = Discharge in Well/((2.303*Cross-Sectional Area of Well*log((Depression Head/Depression Head in Well 2),10))/Time). Here is an example- 0.058209 = 0.99/((2.303*13*log((27/10),10))/14400).

How to calculate Constant Depression Head given Discharge and Time in Hours?

With Discharge in Well (Q), Cross-Sectional Area of Well (A_csw), Depression Head (h_d), Depression Head in Well 2 (h_w2) & Time (t) we can find Constant Depression Head given Discharge and Time in Hours using the formula - Constant Depression Head = Discharge in Well/((2.303*Cross-Sectional Area of Well*log((Depression Head/Depression Head in Well 2),10))/Time). This formula also uses Logarithmic Inverse Function function(s).

What are the other ways to Calculate Constant Depression Head?

Here are the different ways to Calculate Constant Depression Head-

Constant Depression Head=Discharge in Well/Constant

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Constant Depression Head given Discharge and Time in Hours Formula

​GoConstant Depression Head given Discharge from Well Formula

Constant Depression Head given Discharge and Time in Hours Example

Constant Depression Head given Discharge and Time in Hours Solution

Constant Depression Head given Discharge and Time in Hours Formula Elements

Other Formulas to find Constant Depression Head

Other formulas in Constant Depending upon Base Soil category

How to Evaluate Constant Depression Head given Discharge and Time in Hours?

FAQs on Constant Depression Head given Discharge and Time in Hours

Variable Name

GoConstant Depression Head given Discharge from Well Formula