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Discharge per Unit Width of Aquifer Formula

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Discharge per Unit Width of Aquifer is a measure of the volume of water that flows through a unit width of the aquifer per unit time. Check FAQs

q = (h o - h 1) \cdot K' \cdot \frac{b}{L}

q - Discharge per Unit Width of Aquifer?h_o - Piezometric Head at Upstream End?h₁ - Piezometric Head at Downstream End?K' - Permeability Coefficient?b - Aquifer Thickness?L - Length of Permeameter?

Discharge per Unit Width of Aquifer Example

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Here is how the Discharge per Unit Width of Aquifer equation looks like with Values.

Here is how the Discharge per Unit Width of Aquifer equation looks like with Units.

Here is how the Discharge per Unit Width of Aquifer equation looks like.

0.1346 = (12 - 5) \cdot 0.5 \cdot \frac{15}{3.9}

0.1346m³/s = (12m - 5m) \cdot 0.5cm/s \cdot \frac{15m}{3.9m}

0.1346 = (12 - 5) \cdot 0.5 \cdot \frac{15}{3.9}

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Discharge per Unit Width of Aquifer Solution

Follow our step by step solution on how to calculate Discharge per Unit Width of Aquifer?

FIRST Step Consider the formula

q = (h o - h 1) \cdot K' \cdot \frac{b}{L}

Next Step Substitute values of Variables

∴

q = (12m - 5m) \cdot 0.5cm/s \cdot \frac{15m}{3.9m}

Next Step Convert Units

∴

q = (12m - 5m) \cdot 0.005m/s \cdot \frac{15m}{3.9m}

Next Step Prepare to Evaluate

∴

q = (12 - 5) \cdot 0.005 \cdot \frac{15}{3.9}

Next Step Evaluate

∴

q = 0.134615384615385m³/s

LAST Step Rounding Answer

∴

q = 0.1346m³/s

Discharge per Unit Width of Aquifer Formula Elements

Variables

Discharge per Unit Width of Aquifer

Discharge per Unit Width of Aquifer is a measure of the volume of water that flows through a unit width of the aquifer per unit time.

Symbol: q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge per Unit Width of Aquifer

Piezometric Head at Upstream End

Piezometric Head at Upstream End is the pressure head or potential energy of groundwater at a specific point upstream of a hydrological system.

Symbol: h_o

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Piezometric Head at Upstream End

Piezometric Head at Downstream End

Piezometric Head at Downstream End is the hydraulic head of water measured at a point downstream in a river or any flowing water body.

Symbol: h₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Piezometric Head at Downstream End

Permeability Coefficient

Permeability Coefficient quantifies the ease with which a fluid can move through the pore spaces or fractures of a soil or rock medium.

Symbol: K'

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Permeability Coefficient

Aquifer Thickness

Aquifer Thickness is the vertical distance between the top and bottom boundaries of an aquifer. It is a crucial parameter that influences the storage capacity.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Aquifer Thickness

Length of Permeameter

Length of Permeameter is the length of the soil or rock sample placed within the permeameter through which water is allowed to flow to determine its permeability.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Permeameter

Other formulas in Compressibility of Aquifers category

Go Coefficient of Storage for Unconfined Aquifer

S'' = S y + (\frac{γ}{1000}) \cdot (α + η \cdot β) \cdot B s

Go Saturated Thickness of Aquifer when Coefficient of Storage for Unconfined Aquifer is Considered

B s = \frac{S'' - S y}{(\frac{γ}{1000}) \cdot (α + η \cdot β)}

Go Barometric Efficiency given Compressibility Parameters

BE = (\frac{η \cdot β}{α} + η \cdot β)

How to Evaluate Discharge per Unit Width of Aquifer?

Discharge per Unit Width of Aquifer evaluator uses Discharge per Unit Width of Aquifer = (Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Permeability Coefficient*Aquifer Thickness/Length of Permeameter to evaluate the Discharge per Unit Width of Aquifer, The Discharge per Unit Width of Aquifer formula is defined as the rate at which groundwater flows through a unit width of an aquifer. The concept is crucial for understanding and quantifying groundwater flow in an aquifer system. It assists in characterizing the aquifer properties such as hydraulic conductivity and transmissivity. These parameters are essential for groundwater modeling and predicting aquifer behavior under various stress conditions like pumping or recharge. Discharge per Unit Width of Aquifer is denoted by q symbol.

How to evaluate Discharge per Unit Width of Aquifer using this online evaluator? To use this online evaluator for Discharge per Unit Width of Aquifer, enter Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Permeability Coefficient (K'), Aquifer Thickness (b) & Length of Permeameter (L) and hit the calculate button.

FAQs on Discharge per Unit Width of Aquifer

What is the formula to find Discharge per Unit Width of Aquifer?

The formula of Discharge per Unit Width of Aquifer is expressed as Discharge per Unit Width of Aquifer = (Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Permeability Coefficient*Aquifer Thickness/Length of Permeameter. Here is an example- 0.134615 = (12-5)*0.005*15/3.9.

How to calculate Discharge per Unit Width of Aquifer?

With Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Permeability Coefficient (K'), Aquifer Thickness (b) & Length of Permeameter (L) we can find Discharge per Unit Width of Aquifer using the formula - Discharge per Unit Width of Aquifer = (Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Permeability Coefficient*Aquifer Thickness/Length of Permeameter.

Can the Discharge per Unit Width of Aquifer be negative?

No, the Discharge per Unit Width of Aquifer, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge per Unit Width of Aquifer?

Discharge per Unit Width of Aquifer is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge per Unit Width of Aquifer can be measured.

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Discharge per Unit Width of Aquifer Formula

Discharge per Unit Width of Aquifer Example

Discharge per Unit Width of Aquifer Solution

Discharge per Unit Width of Aquifer Formula Elements

Other formulas in Compressibility of Aquifers category

How to Evaluate Discharge per Unit Width of Aquifer?

FAQs on Discharge per Unit Width of Aquifer

Variable Name