Aquifer thickness when discharge is considered Solution

STEP 0: Pre-Calculation Summary
Formula Used
Aquifer Thickness = Discharge per unit width of aquifer*Length between upstream and downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability)
b = q*Lstream/((ho-h1)*K)
This formula uses 6 Variables
Variables Used
Aquifer Thickness - (Measured in Meter) - Aquifer Thickness (at Midpoint between Equipotential lines) or otherwise is the thickness of aquifer in which the pore spaces of rock forming the aquifer may or may not be with water.
Discharge per unit width of aquifer - (Measured in Cubic Meter per Second) - Discharge per unit width of aquifer is the rate of total discharge in the channel to the width considered.
Length between upstream and downstream - (Measured in Meter) - Length between upstream and downstream water bodies on a horizontal base with a difference in surface elevations.
Piezometric Head at Upstream End - (Measured in Meter) - Piezometric Head at Upstream End is defined as a specific measurement of liquid pressure above a vertical datum.
Piezometric Head at Downstream End - (Measured in Meter) - Piezometric Head at Downstream End is defined as a specific measurement of liquid pressure above a vertical datum.
Coefficient of Permeability - (Measured in Meter per Second) - The coefficient of permeability of a soil describes how easily a liquid will move through soil. It is also commonly referred to as hydraulic conductivity.
STEP 1: Convert Input(s) to Base Unit
Discharge per unit width of aquifer: 30 Cubic Meter per Second --> 30 Cubic Meter per Second No Conversion Required
Length between upstream and downstream: 4.09 Meter --> 4.09 Meter No Conversion Required
Piezometric Head at Upstream End: 12 Meter --> 12 Meter No Conversion Required
Piezometric Head at Downstream End: 5 Meter --> 5 Meter No Conversion Required
Coefficient of Permeability: 0.5 Centimeter per Second --> 0.005 Meter per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = q*Lstream/((ho-h1)*K) --> 30*4.09/((12-5)*0.005)
Evaluating ... ...
b = 3505.71428571428
STEP 3: Convert Result to Output's Unit
3505.71428571428 Meter --> No Conversion Required
FINAL ANSWER
3505.71428571428 3505.714 Meter <-- Aquifer Thickness
(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg
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7 Confined Groundwater Flow between Water Bodies Calculators

Length when Discharge per Unit Width of Aquifer is Considered
Go Length between upstream and downstream = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Discharge per unit width of aquifer)*Coefficient of Permeability*Aquifer Thickness
Coefficient of Permeability when discharge is considered
Go Coefficient of Permeability = Discharge per unit width of aquifer*Length between upstream and downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Aquifer Thickness)
Aquifer thickness when discharge is considered
Go Aquifer Thickness = Discharge per unit width of aquifer*Length between upstream and downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability)
Discharge per unit width of aquifers
Go Discharge per unit width of aquifer = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between upstream and downstream)*Coefficient of Permeability*Aquifer Thickness
Equation of Hydraulic Grade Line in Confined Groundwater Flow
Go Piezometric Head = Piezometric Head at Upstream End-((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between upstream and downstream)*Flow in 'x' Direction
Rate of movement through aquifer and confining bed
Go Groundwater Velocity = (Hydraulic Conductivity/Porosity of soil)*Hydraulic Gradient
Velocity Equation of Hydraulics
Go Discharge per unit width of aquifer = Cross-Sectional Area*Groundwater Velocity

Aquifer thickness when discharge is considered Formula

Aquifer Thickness = Discharge per unit width of aquifer*Length between upstream and downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability)
b = q*Lstream/((ho-h1)*K)

What is the Coefficient of Permeability?

The Coefficient of Permeability of a soil describes how easily a liquid will move through a soil. It is also commonly referred to as the hydraulic conductivity of a soil. This factor can be affected by the viscosity, or thickness(fluidity) of a liquid and its density.

How to Calculate Aquifer thickness when discharge is considered?

Aquifer thickness when discharge is considered calculator uses Aquifer Thickness = Discharge per unit width of aquifer*Length between upstream and downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability) to calculate the Aquifer Thickness, The Aquifer thickness when discharge is considered is defined as the hydrogeological specification of the aquifer that may or may not permits the flow of fluid through it. Aquifer Thickness is denoted by b symbol.

How to calculate Aquifer thickness when discharge is considered using this online calculator? To use this online calculator for Aquifer thickness when discharge is considered, enter Discharge per unit width of aquifer (q), Length between upstream and downstream (Lstream), Piezometric Head at Upstream End (ho), Piezometric Head at Downstream End (h1) & Coefficient of Permeability (K) and hit the calculate button. Here is how the Aquifer thickness when discharge is considered calculation can be explained with given input values -> 3505.714 = 30*4.09/((12-5)*0.005).

FAQ

What is Aquifer thickness when discharge is considered?
The Aquifer thickness when discharge is considered is defined as the hydrogeological specification of the aquifer that may or may not permits the flow of fluid through it and is represented as b = q*Lstream/((ho-h1)*K) or Aquifer Thickness = Discharge per unit width of aquifer*Length between upstream and downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability). Discharge per unit width of aquifer is the rate of total discharge in the channel to the width considered, Length between upstream and downstream water bodies on a horizontal base with a difference in surface elevations, Piezometric Head at Upstream End is defined as a specific measurement of liquid pressure above a vertical datum, Piezometric Head at Downstream End is defined as a specific measurement of liquid pressure above a vertical datum & The coefficient of permeability of a soil describes how easily a liquid will move through soil. It is also commonly referred to as hydraulic conductivity.
How to calculate Aquifer thickness when discharge is considered?
The Aquifer thickness when discharge is considered is defined as the hydrogeological specification of the aquifer that may or may not permits the flow of fluid through it is calculated using Aquifer Thickness = Discharge per unit width of aquifer*Length between upstream and downstream/((Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Coefficient of Permeability). To calculate Aquifer thickness when discharge is considered, you need Discharge per unit width of aquifer (q), Length between upstream and downstream (Lstream), Piezometric Head at Upstream End (ho), Piezometric Head at Downstream End (h1) & Coefficient of Permeability (K). With our tool, you need to enter the respective value for Discharge per unit width of aquifer, Length between upstream and downstream, Piezometric Head at Upstream End, Piezometric Head at Downstream End & Coefficient of Permeability 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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