Coefficient of Storage for Unconfined Aquifer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Storage for Unconfined Aquifer = Specific Yield+(Unit Weight of Fluid/1000)*(Compressibility+Porosity of Soil*Compressibility of Water)*Saturated Thickness of Aquifer
S'' = Sy+(γ/1000)*(α+η*β)*Bs
This formula uses 7 Variables
Variables Used
Coefficient of Storage for Unconfined Aquifer - Coefficient of Storage for Unconfined Aquifer is a dimensionless measure that represents the volume of water taken into storage per unit surface area of the aquifer per unit change in the head.
Specific Yield - Specific Yield is the amount of water that can be extracted from an aquifer per unit of its volume. It is a crucial parameter in assessing the sustainable yield of groundwater resources.
Unit Weight of Fluid - (Measured in Newton per Cubic Meter) - Unit Weight of Fluid is the weight of a fluid per unit volume. For water at standard conditions (4°C), fundamental for analyzing and designing various water-related structures and systems.
Compressibility - Compressibility is the measure of how much a material, such as soil or water-bearing formations (aquifers), can decrease in volume under pressure.
Porosity of Soil - Porosity of Soil is the ratio of the volume of voids to the total volume of the soil. Porosity is a crucial parameter in hydrology as it influences the movement and storage of water within the soil.
Compressibility of Water - Compressibility of Water is the ability of water to decrease in volume under the application of pressure. It is quantified by the bulk modulus of elasticity.
Saturated Thickness of Aquifer - Saturated Thickness of Aquifer is the vertical distance between the top of the saturated zone and the base of the aquifer, which is typically defined by an impermeable layer or boundary.
STEP 1: Convert Input(s) to Base Unit
Specific Yield: 0.2 --> No Conversion Required
Unit Weight of Fluid: 9.807 Kilonewton per Cubic Meter --> 9807 Newton per Cubic Meter (Check conversion ​here)
Compressibility: 1.5 --> No Conversion Required
Porosity of Soil: 0.32 --> No Conversion Required
Compressibility of Water: 4.35 --> No Conversion Required
Saturated Thickness of Aquifer: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S'' = Sy+(γ/1000)*(α+η*β)*Bs --> 0.2+(9807/1000)*(1.5+0.32*4.35)*3
Evaluating ... ...
S'' = 85.285532
STEP 3: Convert Result to Output's Unit
85.285532 --> No Conversion Required
FINAL ANSWER
85.285532 85.28553 <-- Coefficient of Storage for Unconfined Aquifer
(Calculation completed in 00.004 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Barometric Efficiency = ((Porosity of Soil*Compressibility of Water)/Compressibility+Porosity of Soil*Compressibility of Water)

Coefficient of Storage for Unconfined Aquifer Formula

​LaTeX ​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
S'' = Sy+(γ/1000)*(α+η*β)*Bs

What Aquifer means?

An Aquifer is a body of rock and/or sediment that holds groundwater. Confined aquifers have a layer of impenetrable rock or clay above them, while unconfined aquifers lie below a permeable layer of soil.

How to Calculate Coefficient of Storage for Unconfined Aquifer?

Coefficient of Storage for Unconfined Aquifer calculator uses Coefficient of Storage for Unconfined Aquifer = Specific Yield+(Unit Weight of Fluid/1000)*(Compressibility+Porosity of Soil*Compressibility of Water)*Saturated Thickness of Aquifer to calculate the Coefficient of Storage for Unconfined Aquifer, The Coefficient of Storage for Unconfined Aquifer formula is defined as the specific yield in the context of unconfined aquifers, is a dimensionless measure that represents the volume of water released from or taken into storage per unit surface area of the aquifer per unit change in the head (water level). For unconfined aquifers, this coefficient is a critical parameter because it directly impacts groundwater availability and movement. Coefficient of Storage for Unconfined Aquifer is denoted by S'' symbol.

How to calculate Coefficient of Storage for Unconfined Aquifer using this online calculator? To use this online calculator for Coefficient of Storage for Unconfined Aquifer, enter Specific Yield (Sy), Unit Weight of Fluid (γ), Compressibility (α), Porosity of Soil (η), Compressibility of Water (β) & Saturated Thickness of Aquifer (Bs) and hit the calculate button. Here is how the Coefficient of Storage for Unconfined Aquifer calculation can be explained with given input values -> 85.28553 = 0.2+(9807/1000)*(1.5+0.32*4.35)*3.

FAQ

What is Coefficient of Storage for Unconfined Aquifer?
The Coefficient of Storage for Unconfined Aquifer formula is defined as the specific yield in the context of unconfined aquifers, is a dimensionless measure that represents the volume of water released from or taken into storage per unit surface area of the aquifer per unit change in the head (water level). For unconfined aquifers, this coefficient is a critical parameter because it directly impacts groundwater availability and movement and is represented as S'' = Sy+(γ/1000)*(α+η*β)*Bs or Coefficient of Storage for Unconfined Aquifer = Specific Yield+(Unit Weight of Fluid/1000)*(Compressibility+Porosity of Soil*Compressibility of Water)*Saturated Thickness of Aquifer. Specific Yield is the amount of water that can be extracted from an aquifer per unit of its volume. It is a crucial parameter in assessing the sustainable yield of groundwater resources, Unit Weight of Fluid is the weight of a fluid per unit volume. For water at standard conditions (4°C), fundamental for analyzing and designing various water-related structures and systems, Compressibility is the measure of how much a material, such as soil or water-bearing formations (aquifers), can decrease in volume under pressure, Porosity of Soil is the ratio of the volume of voids to the total volume of the soil. Porosity is a crucial parameter in hydrology as it influences the movement and storage of water within the soil, Compressibility of Water is the ability of water to decrease in volume under the application of pressure. It is quantified by the bulk modulus of elasticity & Saturated Thickness of Aquifer is the vertical distance between the top of the saturated zone and the base of the aquifer, which is typically defined by an impermeable layer or boundary.
How to calculate Coefficient of Storage for Unconfined Aquifer?
The Coefficient of Storage for Unconfined Aquifer formula is defined as the specific yield in the context of unconfined aquifers, is a dimensionless measure that represents the volume of water released from or taken into storage per unit surface area of the aquifer per unit change in the head (water level). For unconfined aquifers, this coefficient is a critical parameter because it directly impacts groundwater availability and movement is calculated using Coefficient of Storage for Unconfined Aquifer = Specific Yield+(Unit Weight of Fluid/1000)*(Compressibility+Porosity of Soil*Compressibility of Water)*Saturated Thickness of Aquifer. To calculate Coefficient of Storage for Unconfined Aquifer, you need Specific Yield (Sy), Unit Weight of Fluid (γ), Compressibility (α), Porosity of Soil (η), Compressibility of Water (β) & Saturated Thickness of Aquifer (Bs). With our tool, you need to enter the respective value for Specific Yield, Unit Weight of Fluid, Compressibility, Porosity of Soil, Compressibility of Water & Saturated Thickness of Aquifer 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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