Rate of Flow of Water through Saturated Soil by Darcy's Law Calculator

✖The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability [k]			+10% -10%
✖Hydraulic Gradient in Soil is the driving force that causes groundwater to move in the direction of maximum decreasing total head.ⓘ Hydraulic Gradient in Soil [i]			+10% -10%
✖Cross Sectional Area in Permeability is defined as the area of tube used in permeability test.ⓘ Cross Sectional Area in Permeability [A_cs]			+10% -10%

✖Rate of Flow of Water through Soil is the rate at which a water flows through a particular channel, pipe, etc.ⓘ Rate of Flow of Water through Saturated Soil by Darcy's Law [q_flow]

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Formula

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Rate of Flow of Water through Saturated Soil by Darcy's Law

Formula

`"q"_{"flow"} = ("k"*"i"*"A"_{"cs"})`

Example

`"25.8687m³/s"=("0.99m/s"*"2.01"*"13m²")`

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Rate of Flow of Water through Saturated Soil by Darcy's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Flow of Water through Soil = (Coefficient of Permeability*Hydraulic Gradient in Soil*Cross Sectional Area in Permeability)
q_flow = (k*i*A_cs)
This formula uses 4 Variables

Variables Used

Rate of Flow of Water through Soil - (Measured in Cubic Meter per Second) - Rate of Flow of Water through Soil is the rate at which a water flows through a particular channel, pipe, etc.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
Hydraulic Gradient in Soil - Hydraulic Gradient in Soil is the driving force that causes groundwater to move in the direction of maximum decreasing total head.
Cross Sectional Area in Permeability - (Measured in Square Meter) - Cross Sectional Area in Permeability is defined as the area of tube used in permeability test.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Permeability: 0.99 Meter per Second --> 0.99 Meter per Second No Conversion Required
Hydraulic Gradient in Soil: 2.01 --> No Conversion Required
Cross Sectional Area in Permeability: 13 Square Meter --> 13 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_flow = (k*i*A_cs) --> (0.99*2.01*13)

Evaluating ... ...

q_flow = 25.8687

STEP 3: Convert Result to Output's Unit

25.8687 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

25.8687 Cubic Meter per Second <-- Rate of Flow of Water through Soil

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 24 Soil Compaction Test Calculators

Cross-sectional Area of Soil Conveying Flow given Rate of Flow of Water

Go Cross Sectional Area in Permeability = (Rate of Flow of Water through Soil/(Coefficient of Permeability*Hydraulic Gradient in Soil))

Coefficient of Permeability given Rate of Flow of Water

Go Coefficient of Permeability = (Rate of Flow of Water through Soil/(Hydraulic Gradient in Soil*Cross Sectional Area in Permeability))

Hydraulic Gradient given Rate of Flow of Water

Go Hydraulic Gradient in Soil = (Rate of Flow of Water through Soil/(Coefficient of Permeability*Cross Sectional Area in Permeability))

Rate of Flow of Water through Saturated Soil by Darcy's Law

Go Rate of Flow of Water through Soil = (Coefficient of Permeability*Hydraulic Gradient in Soil*Cross Sectional Area in Permeability)

Settlement of Plate in Load Bearing Test

Go Settlement of Plate = Settlement Foundation*((1+Width of Full Size Bearing Plate)/(2*Width of Full Size Bearing Plate))^2

Width of Full Size Bearing Plate in Load Bearing Test

Go Width of Full Size Bearing Plate = (1/(2*sqrt(Settlement of Plate/Settlement Foundation)-1))

Weight of Moist Soil given Percent Moisture in Sand Cone Method

Go Weight of Moist Soil = ((Percent Moisture*Weight of Dry Soil/100)+Weight of Dry Soil)

Percent Moisture in Sand Cone Method

Go Percent Moisture = (100*(Weight of Moist Soil-Weight of Dry Soil))/Weight of Dry Soil

Force per Unit Area Required for Penetration of Standard Material given CBR

Go Force Per Unit Area Stand. = (Force per Unit Area/California Bearing Ratio)

California Bearing Ratio for Strength of Soil that Underlies Pavement

Go California Bearing Ratio = (Force per Unit Area/Force Per Unit Area Stand.)

Force per Unit Area Required to Penetrate Soil Mass with Circular Piston given CBR

Go Force per Unit Area = California Bearing Ratio*Force Per Unit Area Stand.

Weight of Dry Soil given Percent Moisture in Sand Cone Method

Go Weight of Dry Soil = (100*Weight of Moist Soil)/(Percent Moisture+100)

Field Density of Soil given Dry Density of Soil in Sand Cone Method

Go Bulk Density of Soil = (Dry Density*(1+(Percent Moisture/100)))

Dry Density of Soil in Sand Cone Method

Go Dry Density = (Bulk Density of Soil/(1+(Percent Moisture/100)))

Percent Moisture Content given Dry Density of Soil in Sand Cone Method

Go Percent Moisture = 100*((Bulk Density of Soil/Dry Density)-1)

Weight of Soil given Field Density in Sand Cone Method

Go Weight of Total Soil = (Bulk Density of Soil*Volume of Soil)

Volume of Soil given Field Density in Sand Cone Method

Go Volume of Soil = (Weight of Total Soil/Bulk Density of Soil)

Field Density in Sand Cone Method

Go Bulk Density of Soil = (Weight of Total Soil/Volume of Soil)

Dry Density of Soil given Percent Compaction of Soil in Sand Cone Method

Go Dry Density = (Percent Compaction*Dry Density Maximum)/100

Percent Compaction of Soil in Sand Cone Method

Go Percent Compaction = (100*Dry Density)/Dry Density Maximum

Weight of Sand Filling Hole given Volume of Soil for Sand Filling in Sand Cone Method

Go Weight of Total Soil = (Volume of Soil*Density of Sand)

Density of Sand given Volume of Soil for Sand Filling in Sand Cone Method

Go Density of Sand = (Weight of Total Soil/Volume of Soil)

Volume of Soil for Sand Filling in Sand Cone Method

Go Volume of Soil = (Weight of Total Soil/Density of Sand)

Maximum Dry Density given Percent Compaction of Soil in Sand Cone Method

Go Dry Density Maximum = (Dry Density)/Percent Compaction

Rate of Flow of Water through Saturated Soil by Darcy's Law Formula

Rate of Flow of Water through Soil = (Coefficient of Permeability*Hydraulic Gradient in Soil*Cross Sectional Area in Permeability)
q_flow = (k*i*A_cs)

What is Darcy's Law?

Darcy's law is an equation that describes the flow of a fluid through a porous medium. The law was formulated by Henry Darcy based on results of experiments on the flow of water through beds of sand, forming the basis of hydrogeology, a branch of earth sciences.

How to Calculate Rate of Flow of Water through Saturated Soil by Darcy's Law?

Rate of Flow of Water through Saturated Soil by Darcy's Law calculator uses Rate of Flow of Water through Soil = (Coefficient of Permeability*Hydraulic Gradient in Soil*Cross Sectional Area in Permeability) to calculate the Rate of Flow of Water through Soil, The Rate of Flow of Water through Saturated Soil by Darcy's Law is defined the as mass flow rate, the movement of mass per unit time. Rate of Flow of Water through Soil is denoted by q_flow symbol.

How to calculate Rate of Flow of Water through Saturated Soil by Darcy's Law using this online calculator? To use this online calculator for Rate of Flow of Water through Saturated Soil by Darcy's Law, enter Coefficient of Permeability (k), Hydraulic Gradient in Soil (i) & Cross Sectional Area in Permeability (A_cs) and hit the calculate button. Here is how the Rate of Flow of Water through Saturated Soil by Darcy's Law calculation can be explained with given input values -> 25.8687 = (0.99*2.01*13).

FAQ

What is Rate of Flow of Water through Saturated Soil by Darcy's Law?

The Rate of Flow of Water through Saturated Soil by Darcy's Law is defined the as mass flow rate, the movement of mass per unit time and is represented as q_flow = (k*i*A_cs) or Rate of Flow of Water through Soil = (Coefficient of Permeability*Hydraulic Gradient in Soil*Cross Sectional Area in Permeability). The Coefficient of Permeability of soil describes how easily a liquid will move through the soil, Hydraulic Gradient in Soil is the driving force that causes groundwater to move in the direction of maximum decreasing total head & Cross Sectional Area in Permeability is defined as the area of tube used in permeability test.

How to calculate Rate of Flow of Water through Saturated Soil by Darcy's Law?

The Rate of Flow of Water through Saturated Soil by Darcy's Law is defined the as mass flow rate, the movement of mass per unit time is calculated using Rate of Flow of Water through Soil = (Coefficient of Permeability*Hydraulic Gradient in Soil*Cross Sectional Area in Permeability). To calculate Rate of Flow of Water through Saturated Soil by Darcy's Law, you need Coefficient of Permeability (k), Hydraulic Gradient in Soil (i) & Cross Sectional Area in Permeability (A_cs). With our tool, you need to enter the respective value for Coefficient of Permeability, Hydraulic Gradient in Soil & Cross Sectional Area in 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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