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Coefficient of Storage for Unconfined Aquifer Formula

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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. Check FAQs

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

S'' - Coefficient of Storage for Unconfined Aquifer?S_y - Specific Yield?γ - Unit Weight of Fluid?α - Compressibility?η - Porosity of Soil?β - Compressibility of Water?B_s - Saturated Thickness of Aquifer?

Coefficient of Storage for Unconfined Aquifer Example

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Here is how the Coefficient of Storage for Unconfined Aquifer equation looks like with Values.

Here is how the Coefficient of Storage for Unconfined Aquifer equation looks like with Units.

Here is how the Coefficient of Storage for Unconfined Aquifer equation looks like.

85.2855 = 0.2 + (\frac{9.807}{1000}) \cdot (1.5 + 0.32 \cdot 4.35) \cdot 3

85.2855 = 0.2 + (\frac{9.807kN/m³}{1000}) \cdot (1.5 + 0.32 \cdot 4.35) \cdot 3

85.2855 = 0.2 + (\frac{9.807}{1000}) \cdot (1.5 + 0.32 \cdot 4.35) \cdot 3

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Coefficient of Storage for Unconfined Aquifer Solution

Follow our step by step solution on how to calculate Coefficient of Storage for Unconfined Aquifer?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S'' = 0.2 + (\frac{9.807kN/m³}{1000}) \cdot (1.5 + 0.32 \cdot 4.35) \cdot 3

Next Step Convert Units

∴

S'' = 0.2 + (\frac{9807N/m³}{1000}) \cdot (1.5 + 0.32 \cdot 4.35) \cdot 3

Next Step Prepare to Evaluate

∴

S'' = 0.2 + (\frac{9807}{1000}) \cdot (1.5 + 0.32 \cdot 4.35) \cdot 3

Next Step Evaluate

∴

S'' = 85.285532

LAST Step Rounding Answer

∴

S'' = 85.2855

Coefficient of Storage for Unconfined Aquifer Formula Elements

Variables

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.

Symbol: S''

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient of Storage for Unconfined Aquifer

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.

Symbol: S_y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Yield

Unit Weight of Fluid

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.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value can be positive or negative.

Formulas to find Unit Weight of Fluid

Compressibility

Compressibility is the measure of how much a material, such as soil or water-bearing formations (aquifers), can decrease in volume under pressure.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Compressibility

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.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Porosity of 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.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Compressibility of Water

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.

Symbol: B_s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Saturated Thickness of Aquifer

Other formulas in Compressibility of Aquifers category

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 Coefficient of Storage for Unconfined Aquifer?

Coefficient of Storage for Unconfined Aquifer evaluator 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 evaluate 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 evaluate Coefficient of Storage for Unconfined Aquifer using this online evaluator? To use this online evaluator for Coefficient of Storage for Unconfined Aquifer, enter Specific Yield (S_y), Unit Weight of Fluid (γ), Compressibility (α), Porosity of Soil (η), Compressibility of Water (β) & Saturated Thickness of Aquifer (B_s) and hit the calculate button.

FAQs on Coefficient of Storage for Unconfined Aquifer

What is the formula to find Coefficient of Storage for Unconfined Aquifer?

The formula of Coefficient of Storage for Unconfined Aquifer is expressed as Coefficient of Storage for Unconfined Aquifer = Specific Yield+(Unit Weight of Fluid/1000)*(Compressibility+Porosity of Soil*Compressibility of Water)*Saturated Thickness of Aquifer. Here is an example- 85.28553 = 0.2+(9807/1000)*(1.5+0.32*4.35)*3.

How to calculate Coefficient of Storage for Unconfined Aquifer?

With Specific Yield (S_y), Unit Weight of Fluid (γ), Compressibility (α), Porosity of Soil (η), Compressibility of Water (β) & Saturated Thickness of Aquifer (B_s) we can find Coefficient of Storage for Unconfined Aquifer using the formula - Coefficient of Storage for Unconfined Aquifer = Specific Yield+(Unit Weight of Fluid/1000)*(Compressibility+Porosity of Soil*Compressibility of Water)*Saturated Thickness of Aquifer.

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Coefficient of Storage for Unconfined Aquifer Formula

Coefficient of Storage for Unconfined Aquifer Example

Coefficient of Storage for Unconfined Aquifer Solution

Coefficient of Storage for Unconfined Aquifer Formula Elements

Other formulas in Compressibility of Aquifers category

How to Evaluate Coefficient of Storage for Unconfined Aquifer?

FAQs on Coefficient of Storage for Unconfined Aquifer

Variable Name