Discharge per Unit Width of Aquifer Calculator

✖Piezometric Head at Upstream End is the pressure head or potential energy of groundwater at a specific point upstream of a hydrological system.ⓘ Piezometric Head at Upstream End [h_o]			+10% -10%
✖Piezometric Head at Downstream End is the hydraulic head of water measured at a point downstream in a river or any flowing water body.ⓘ Piezometric Head at Downstream End [h₁]			+10% -10%
✖Permeability Coefficient quantifies the ease with which a fluid can move through the pore spaces or fractures of a soil or rock medium.ⓘ Permeability Coefficient [K']			+10% -10%
✖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.ⓘ Aquifer Thickness [b]			+10% -10%
✖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.ⓘ Length of Permeameter [L]			+10% -10%

✖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.ⓘ Discharge per Unit Width of Aquifer [q]

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Formula

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Discharge per Unit Width of Aquifer

Formula

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

Example

0.134615 m³/s = (12 m - 5 m) \cdot 0.5 cm/s \cdot \frac{15.0 m}{3.9 m}

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Discharge per Unit Width of Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge per Unit Width of Aquifer = (Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Permeability Coefficient*Aquifer Thickness/Length of Permeameter
q = (h_o-h₁)*K'*b/L
This formula uses 6 Variables

Variables Used

Discharge per Unit Width of Aquifer - (Measured in Cubic Meter per Second) - 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.
Piezometric Head at Upstream End - (Measured in Meter) - Piezometric Head at Upstream End is the pressure head or potential energy of groundwater at a specific point upstream of a hydrological system.
Piezometric Head at Downstream End - (Measured in Meter) - Piezometric Head at Downstream End is the hydraulic head of water measured at a point downstream in a river or any flowing water body.
Permeability Coefficient - (Measured in Meter per Second) - Permeability Coefficient quantifies the ease with which a fluid can move through the pore spaces or fractures of a soil or rock medium.
Aquifer Thickness - (Measured in Meter) - 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.
Length of Permeameter - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Piezometric Head at Upstream End: 12 Meter --> 12 Meter No Conversion Required
Piezometric Head at Downstream End: 5 Meter --> 5 Meter No Conversion Required
Permeability Coefficient: 0.5 Centimeter per Second --> 0.005 Meter per Second (Check conversion here)
Aquifer Thickness: 15 Meter --> 15 Meter No Conversion Required
Length of Permeameter: 3.9 Meter --> 3.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (h_o-h₁)*K'*b/L --> (12-5)*0.005*15/3.9

Evaluating ... ...

q = 0.134615384615385

STEP 3: Convert Result to Output's Unit

0.134615384615385 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.134615384615385 ≈ 0.134615 Cubic Meter per Second <-- Discharge per Unit Width of Aquifer

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Compressibility of Aquifers Calculators

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

Go Saturated Thickness of Aquifer = (Coefficient of Storage for Unconfined Aquifer-Specific Yield)/((Unit Weight of Fluid/1000)*(Compressibility+Porosity of Soil*Compressibility of Water))

Coefficient of Storage for Unconfined Aquifer

Go Coefficient of Storage for Unconfined Aquifer = Specific Yield+(Unit Weight of Fluid/1000)*(Compressibility+Porosity of Soil*Compressibility of Water)*Saturated Thickness of Aquifer

Discharge per Unit Width of Aquifer

Go Discharge per Unit Width of Aquifer = (Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Permeability Coefficient*Aquifer Thickness/Length of Permeameter

Barometric Efficiency given Compressibility Parameters

Go Barometric Efficiency = ((Porosity of Soil*Compressibility of Water)/Compressibility+Porosity of Soil*Compressibility of Water)

Discharge per Unit Width of Aquifer Formula

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

What is meant by Piezometric Head?

Hydraulic head or Piezometric Head is a specific measurement of liquid pressure above a vertical datum. In an aquifer, it can be calculated from the depth to water in a piezometric well (a specialized water well), and given information of the piezometer's elevation and screen depth.

How to Calculate Discharge per Unit Width of Aquifer?

Discharge per Unit Width of Aquifer calculator 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 calculate 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 calculate Discharge per Unit Width of Aquifer using this online calculator? To use this online calculator 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. Here is how the Discharge per Unit Width of Aquifer calculation can be explained with given input values -> 0.134615 = (12-5)*0.005*15/3.9.

FAQ

What is 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 and is represented as q = (h_o-h₁)*K'*b/L or Discharge per Unit Width of Aquifer = (Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Permeability Coefficient*Aquifer Thickness/Length of Permeameter. Piezometric Head at Upstream End is the pressure head or potential energy of groundwater at a specific point upstream of a hydrological system, Piezometric Head at Downstream End is the hydraulic head of water measured at a point downstream in a river or any flowing water body, Permeability Coefficient quantifies the ease with which a fluid can move through the pore spaces or fractures of a soil or rock medium, 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 & 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.

How to calculate 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 is calculated using Discharge per Unit Width of Aquifer = (Piezometric Head at Upstream End-Piezometric Head at Downstream End)*Permeability Coefficient*Aquifer Thickness/Length of Permeameter. To calculate Discharge per Unit Width of Aquifer, you need Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Permeability Coefficient (K'), Aquifer Thickness (b) & Length of Permeameter (L). With our tool, you need to enter the respective value for Piezometric Head at Upstream End, Piezometric Head at Downstream End, Permeability Coefficient, Aquifer Thickness & Length of Permeameter 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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