Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Permeability of Soil = (Discharge from Dam*Number of Beds)/(Head of Water*Equipotential Lines)
k = (Qt*B)/(HWater*N)
This formula uses 5 Variables
Variables Used
Coefficient of Permeability of Soil - (Measured in Meter per Second) - The Coefficient of Permeability of Soil describes how easily a liquid will move through the soil.
Discharge from Dam - (Measured in Cubic Meter per Second) - Discharge from Dam is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.
Number of Beds - The Number of Beds is defined as the number of beds between each of the same potential drops.
Head of Water - (Measured in Meter) - Head of Water is defined as the height of water columns.
Equipotential Lines - Equipotential Lines is defined as the number of lines with same potential drop.
STEP 1: Convert Input(s) to Base Unit
Discharge from Dam: 0.46 Cubic Meter per Second --> 0.46 Cubic Meter per Second No Conversion Required
Number of Beds: 2 --> No Conversion Required
Head of Water: 2.3 Meter --> 2.3 Meter No Conversion Required
Equipotential Lines: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = (Qt*B)/(HWater*N) --> (0.46*2)/(2.3*4)
Evaluating ... ...
k = 0.1
STEP 3: Convert Result to Output's Unit
0.1 Meter per Second -->10 Centimeter per Second (Check conversion here)
FINAL ANSWER
10 Centimeter per Second <-- Coefficient of Permeability of Soil
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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18 Dams on Soft or Porous Foundations by Darcy’s law Calculators

Void Ratio given Total Pressure per unit Area for Dams on Soft Foundations
Go Void Ratio = (Degree of Saturation-(Total Pressure at given Point/(Depth of Dam*Specific Weight of Water in KN per cubic meter)))/((Total Pressure at given Point/(Depth of Dam*Specific Weight of Water in KN per cubic meter))-1)
Total Pressure per unit Area for Dams on Soft Foundations
Go Total Pressure at given Point = Depth of Dam*Specific Weight of Water in KN per cubic meter*((Degree of Saturation+Void Ratio)/(1+Void Ratio))
Saturation for Total Pressure per unit Area for Dams on Soft Foundations
Go Degree of Saturation = (Total Pressure*(1+Void Ratio)/(Depth of Dam*Specific Weight of Water in KN per cubic meter))-Void Ratio
Length of Conduit given Neutral Stress per unit area for Dams on Soft Foundations
Go Minimum Safe Length of Travel path = Height of Dam/((Neutral Stress/(Depth of Dam*Specific Weight of Water in KN per cubic meter)-1))
Specific Gravity of Water given Neutral stress per unit area for Dams on Soft Foundations
Go Specific Weight of Water in KN per cubic meter = Neutral Stress/(Depth of Dam*(1+Height of Dam/Minimum Safe Length of Travel path))
Neutral Stress per unit area for Dams on Soft Foundations
Go Neutral Stress = Depth of Dam*Specific Weight of Water in KN per cubic meter*(1+Height of Dam/Minimum Safe Length of Travel path)
Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations
Go Coefficient of Permeability of Soil = (Discharge from Dam*Number of Beds)/(Head of Water*Equipotential Lines)
Equipotential Lines given discharge for Dams on Soft Foundations
Go Head of Water = (Discharge from Dam*Number of Beds)/(Coefficient of Permeability of Soil*Equipotential Lines)
Discharge given Hydraulic Gradient per unit head for Dams on Soft Foundations
Go Discharge from Dam = Coefficient of Permeability of Soil*Head of Water*Equipotential Lines/Number of Beds
Number of Beds given discharge for Dams on Soft Foundations
Go Number of Beds = Coefficient of Permeability of Soil*Head of Water*Equipotential Lines/Discharge from Dam
Velocity given Length of Conduit after using Area of Pipe in Discharge
Go Maximum Velocity = Material Coefficient*Head under Flow/Length of Pipe
Length of Conduit after using Area of Pipe in Discharge
Go Length of Pipe = Material Coefficient*Head under Flow/Maximum Velocity
Minimum Safe Length of Travel path under Dams on Soft or Porous Foundations
Go Minimum Safe Length of Travel path = New Material Coefficient C2*Head under Flow
Equipotential Lines given Hydraulic Gradient per unit head for Dams on Soft Foundations
Go Equipotential Lines = Hydraulic Gradient to Head Loss*Number of Beds
Number of Beds given Hydraulic Gradient per unit head for Dams on Soft Foundations
Go Number of Beds = Equipotential Lines/Hydraulic Gradient to Head Loss
Hydraulic Gradient per unit head for Dams on Soft Foundations
Go Hydraulic Gradient to Head Loss = Equipotential Lines/Number of Beds
Maximum Velocity given New Material Coefficient C 2 for Dams on Soft Foundations
Go Maximum Velocity = Material Coefficient/New Material Coefficient C2
New Material Coefficient C2 for Dams on Soft or Porous Foundations
Go New Material Coefficient C2 = Material Coefficient/Maximum Velocity

Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations Formula

Coefficient of Permeability of Soil = (Discharge from Dam*Number of Beds)/(Head of Water*Equipotential Lines)
k = (Qt*B)/(HWater*N)

What is Hydraulic Gradient?

The hydraulic gradient is the slope of the water table or potentiometric surface, that is, the change in water level per unit of distance along the direction of maximum head decrease.

How to Calculate Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations?

Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations calculator uses Coefficient of Permeability of Soil = (Discharge from Dam*Number of Beds)/(Head of Water*Equipotential Lines) to calculate the Coefficient of Permeability of Soil, Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations formula is defined as property of material defines ability to conduct. Coefficient of Permeability of Soil is denoted by k symbol.

How to calculate Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations using this online calculator? To use this online calculator for Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations, enter Discharge from Dam (Qt), Number of Beds (B), Head of Water (HWater) & Equipotential Lines (N) and hit the calculate button. Here is how the Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations calculation can be explained with given input values -> 1437.5 = (0.46*2)/(2.3*4).

FAQ

What is Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations?
Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations formula is defined as property of material defines ability to conduct and is represented as k = (Qt*B)/(HWater*N) or Coefficient of Permeability of Soil = (Discharge from Dam*Number of Beds)/(Head of Water*Equipotential Lines). Discharge from Dam is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material, The Number of Beds is defined as the number of beds between each of the same potential drops, Head of Water is defined as the height of water columns & Equipotential Lines is defined as the number of lines with same potential drop.
How to calculate Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations?
Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations formula is defined as property of material defines ability to conduct is calculated using Coefficient of Permeability of Soil = (Discharge from Dam*Number of Beds)/(Head of Water*Equipotential Lines). To calculate Permeability given Hydraulic gradient per unit head for Dams on Soft Foundations, you need Discharge from Dam (Qt), Number of Beds (B), Head of Water (HWater) & Equipotential Lines (N). With our tool, you need to enter the respective value for Discharge from Dam, Number of Beds, Head of Water & Equipotential Lines 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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