Aquifer Thickness when Discharge is Considered Calculator

✖The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.ⓘ Discharge per Unit Width of Aquifer [q]			+10% -10%
✖The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations.ⓘ Length between Upstream and Downstream [L_stream]			+10% -10%
✖The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Upstream End [h_o]			+10% -10%
✖The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum.ⓘ Piezometric Head at Downstream End [h₁]			+10% -10%
✖The Coefficient of Permeability refers to the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient.ⓘ Coefficient of Permeability [k]			+10% -10%

✖The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.ⓘ Aquifer Thickness when Discharge is Considered [b]

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Formula

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Aquifer Thickness when Discharge is Considered

Formula

b = q \cdot \frac{L stream}{(h o - h 1) \cdot k}

Example

35.05714 m = 30 m³/s \cdot \frac{4.09 m}{(12 m - 5 m) \cdot 0.5 m/s}

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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*L_stream/((h_o-h₁)*k)
This formula uses 6 Variables

Variables Used

Aquifer Thickness - (Measured in Meter) - The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.
Discharge per Unit Width of Aquifer - (Measured in Cubic Meter per Second) - The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.
Length between Upstream and Downstream - (Measured in Meter) - The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations.
Piezometric Head at Upstream End - (Measured in Meter) - The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum.
Piezometric Head at Downstream End - (Measured in Meter) - The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability refers to the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient.

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 Meter per Second --> 0.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = q*L_stream/((h_o-h₁)*k) --> 30*4.09/((12-5)*0.5)

Evaluating ... ...

b = 35.0571428571429

STEP 3: Convert Result to Output's Unit

35.0571428571429 Meter --> No Conversion Required

FINAL ANSWER

35.0571428571429 ≈ 35.05714 Meter <-- Aquifer Thickness

(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< Confined Groundwater Flow between Water Bodies Calculators

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

Aquifer Thickness when Discharge is Considered Formula

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 formula 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 (L_stream), Piezometric Head at Upstream End (h_o), 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 -> 35.05714 = 30*4.09/((12-5)*0.5).

FAQ

What is Aquifer Thickness when Discharge is Considered?

The Aquifer Thickness when Discharge is Considered formula 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*L_stream/((h_o-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). The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered, The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations, The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum, The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum & The Coefficient of Permeability refers to the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient.

How to calculate Aquifer Thickness when Discharge is Considered?

The Aquifer Thickness when Discharge is Considered formula 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 (L_stream), Piezometric Head at Upstream End (h_o), 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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