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Depression Head in Well given Pumping Stopped with Discharge Formula

GoDepression Head in well given pumping stopped and clay soil is present Formula

GoDepression Head in Well given Pumping Stopped with Base 10 and Clay soil is Present Formula

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

h d = h w2 \cdot 10^{\frac{Q \cdot Δ t}{A cs \cdot H' \cdot 2.303}}

h_d - Depression Head?h_w2 - Depression Head in Well 2?Q - Discharge in Well?Δ_t - Time Interval?A_cs - Cross Sectional Area?H' - Constant Depression Head?

Depression Head in Well given Pumping Stopped with Discharge Example

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Here is how the Depression Head in Well given Pumping Stopped with Discharge equation looks like with Values.

Here is how the Depression Head in Well given Pumping Stopped with Discharge equation looks like with Units.

Here is how the Depression Head in Well given Pumping Stopped with Discharge equation looks like.

37.2632 = 10 \cdot 10^{\frac{0.99 \cdot 1.01}{20 \cdot 0.038 \cdot 2.303}}

37.2632m = 10m \cdot 10^{\frac{0.99m³/s \cdot 1.01s}{20m² \cdot 0.038 \cdot 2.303}}

37.2632 = 10 \cdot 10^{\frac{0.99 \cdot 1.01}{20 \cdot 0.038 \cdot 2.303}}

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Depression Head in Well given Pumping Stopped with Discharge Solution

Follow our step by step solution on how to calculate Depression Head in Well given Pumping Stopped with Discharge?

FIRST Step Consider the formula

h d = h w2 \cdot 10^{\frac{Q \cdot Δ t}{A cs \cdot H' \cdot 2.303}}

Next Step Substitute values of Variables

∴

h d = 10m \cdot 10^{\frac{0.99m³/s \cdot 1.01s}{20m² \cdot 0.038 \cdot 2.303}}

Next Step Prepare to Evaluate

∴

h d = 10 \cdot 10^{\frac{0.99 \cdot 1.01}{20 \cdot 0.038 \cdot 2.303}}

Next Step Evaluate

∴

h d = 37.2631893865673m

LAST Step Rounding Answer

∴

h d = 37.2632m

Depression Head in Well given Pumping Stopped with Discharge Formula Elements

Variables

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

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

Time Interval

Time Interval is the amount of time required for the total change in concentration.

Symbol: Δ_t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Interval

Cross Sectional Area

Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

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

Other Formulas to find Depression Head

Go Depression Head in well given pumping stopped and clay soil is present

h d = h w2 \cdot \exp (0.25 \cdot Δt)

Go Depression Head in Well given Pumping Stopped with Base 10 and Clay soil is Present

h d = h w2 \cdot 10^{\frac{0.25 \cdot Δt}{2.303}}

Go Depression Head in Well given Pumping Stopped and Fine Sand is Present

h d = h w2 \cdot \exp (0.5 \cdot Δ t)

Go Depression Head in Well given Pumping Stopped and Coarse Sand is Present

h d = h w2 \cdot \exp (1 \cdot Δ t)

How to Evaluate Depression Head in Well given Pumping Stopped with Discharge?

Depression Head in Well given Pumping Stopped with Discharge evaluator uses Depression Head = Depression Head in Well 2*10^((Discharge in Well*Time Interval)/(Cross Sectional Area*Constant Depression Head*2.303)) to evaluate the Depression Head, The Depression Head in Well given Pumping Stopped with Discharge formula is defined as the calculation of the value of depression head in well when pumping stopped and we have prior information of other parameters used. Depression Head is denoted by h_d symbol.

How to evaluate Depression Head in Well given Pumping Stopped with Discharge using this online evaluator? To use this online evaluator for Depression Head in Well given Pumping Stopped with Discharge, enter Depression Head in Well 2 (h_w2), Discharge in Well (Q), Time Interval (Δ_t), Cross Sectional Area (A_cs) & Constant Depression Head (H') and hit the calculate button.

FAQs on Depression Head in Well given Pumping Stopped with Discharge

What is the formula to find Depression Head in Well given Pumping Stopped with Discharge?

The formula of Depression Head in Well given Pumping Stopped with Discharge is expressed as Depression Head = Depression Head in Well 2*10^((Discharge in Well*Time Interval)/(Cross Sectional Area*Constant Depression Head*2.303)). Here is an example- 37.26319 = 10*10^((0.99*1.01)/(20*0.038*2.303)).

How to calculate Depression Head in Well given Pumping Stopped with Discharge?

With Depression Head in Well 2 (h_w2), Discharge in Well (Q), Time Interval (Δ_t), Cross Sectional Area (A_cs) & Constant Depression Head (H') we can find Depression Head in Well given Pumping Stopped with Discharge using the formula - Depression Head = Depression Head in Well 2*10^((Discharge in Well*Time Interval)/(Cross Sectional Area*Constant Depression Head*2.303)).

What are the other ways to Calculate Depression Head?

Here are the different ways to Calculate Depression Head-

Depression Head=Depression Head in Well 2*exp(0.25*Total Time Interval)
Depression Head=Depression Head in Well 2*10^((0.25*Total Time Interval)/2.303)
Depression Head=Depression Head in Well 2*exp(0.5*Time Interval)

Can the Depression Head in Well given Pumping Stopped with Discharge be negative?

No, the Depression Head in Well given Pumping Stopped with Discharge, measured in Length cannot be negative.

Which unit is used to measure Depression Head in Well given Pumping Stopped with Discharge?

Depression Head in Well given Pumping Stopped with Discharge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depression Head in Well given Pumping Stopped with Discharge can be measured.

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Depression Head in Well given Pumping Stopped with Discharge Formula

​GoDepression Head in well given pumping stopped and clay soil is present Formula

​GoDepression Head in Well given Pumping Stopped with Base 10 and Clay soil is Present Formula

Depression Head in Well given Pumping Stopped with Discharge Example

Depression Head in Well given Pumping Stopped with Discharge Solution

Depression Head in Well given Pumping Stopped with Discharge Formula Elements

Other Formulas to find Depression Head

How to Evaluate Depression Head in Well given Pumping Stopped with Discharge?

FAQs on Depression Head in Well given Pumping Stopped with Discharge

Variable Name

GoDepression Head in well given pumping stopped and clay soil is present Formula

GoDepression Head in Well given Pumping Stopped with Base 10 and Clay soil is Present Formula