Seepage Discharge in Earth Dam Calculator

✖The Coefficient of Permeability of Soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability of Soil [k]			+10% -10%
✖Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.ⓘ Hydraulic Gradient to Head Loss [i]			+10% -10%
✖Cross-Sectional Area of Base is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area of Base [A_cs]			+10% -10%
✖Time Taken to Travel is the total time taken by an object to reach its destination.ⓘ Time Taken to Travel [t]			+10% -10%

✖Seepage Discharge is the volume of of water flowing in unit time across the unit surface area of available voids.ⓘ Seepage Discharge in Earth Dam [Q_s]

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Formula

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Seepage Discharge in Earth Dam

Formula

`"Q"_{"s"} = "k"*"i"*"A"_{"cs"}*"t"`

Example

`"15.756m³/s"="10cm/s"*"2.02"*"13m²"*"6s"`

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Seepage Discharge in Earth Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Seepage Discharge = Coefficient of Permeability of Soil*Hydraulic Gradient to Head Loss*Cross-Sectional Area of Base*Time Taken to Travel
Q_s = k*i*A_cs*t
This formula uses 5 Variables

Variables Used

Seepage Discharge - (Measured in Cubic Meter per Second) - Seepage Discharge is the volume of of water flowing in unit time across the unit surface area of available voids.
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.
Hydraulic Gradient to Head Loss - Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.
Cross-Sectional Area of Base - (Measured in Square Meter) - Cross-Sectional Area of Base is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Time Taken to Travel - (Measured in Second) - Time Taken to Travel is the total time taken by an object to reach its destination.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Permeability of Soil: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)
Hydraulic Gradient to Head Loss: 2.02 --> No Conversion Required
Cross-Sectional Area of Base: 13 Square Meter --> 13 Square Meter No Conversion Required
Time Taken to Travel: 6 Second --> 6 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_s = k*i*A_cs*t --> 0.1*2.02*13*6

Evaluating ... ...

Q_s = 15.756

STEP 3: Convert Result to Output's Unit

15.756 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

15.756 Cubic Meter per Second <-- Seepage Discharge

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< 6 Quantity of seepage Calculators

Head difference between Headwater and Tail Water given Quantity of Seepage in Length of Dam

Go Loss of Head = (Quantity of Seepage*Equipotential Lines)/(Number of Beds*Coefficient of Permeability of Soil*Length of Dam)

Length of Dam to which Flow Net applies given Quantity of Seepage in Length of Dam

Go Length of Dam = (Quantity of Seepage*Equipotential Lines)/(Number of Beds*Loss of Head*Coefficient of Permeability of Soil)

Number of Flow Channels of Net Water given Quantity of Seepage in Length of Dam

Go Number of Beds = (Quantity of Seepage*Equipotential Lines)/(Loss of Head*Coefficient of Permeability of Soil*Length of Dam)

Number of Equipotential Drops of Net given Quantity of Seepage in Length of Dam

Go Equipotential Lines = (Coefficient of Permeability of Soil*Number of Beds*Loss of Head*Length of Dam)/Quantity of Seepage

Quantity of Seepage in Length of Dam under Consideration

Go Quantity of Seepage = (Coefficient of Permeability of Soil*Number of Beds*Loss of Head*Length of Dam)/Equipotential Lines

Seepage Discharge in Earth Dam

Go Seepage Discharge = Coefficient of Permeability of Soil*Hydraulic Gradient to Head Loss*Cross-Sectional Area of Base*Time Taken to Travel

Seepage Discharge in Earth Dam Formula

Seepage Discharge = Coefficient of Permeability of Soil*Hydraulic Gradient to Head Loss*Cross-Sectional Area of Base*Time Taken to Travel
Q_s = k*i*A_cs*t

What is an Earth Dam?

An embankment dam is a large artificial dam. It is typically created by the placement and compaction of a complex semi-plastic mound of various compositions of soil, sand, clay, or rock. It has a semi-pervious waterproof natural covering for its surface and a dense, impervious core.

How to Calculate Seepage Discharge in Earth Dam?

Seepage Discharge in Earth Dam calculator uses Seepage Discharge = Coefficient of Permeability of Soil*Hydraulic Gradient to Head Loss*Cross-Sectional Area of Base*Time Taken to Travel to calculate the Seepage Discharge, The Seepage Discharge in Earth Dam is defined as amount of water flowing through underneath of dam in particular sectional area. Seepage Discharge is denoted by Q_s symbol.

How to calculate Seepage Discharge in Earth Dam using this online calculator? To use this online calculator for Seepage Discharge in Earth Dam, enter Coefficient of Permeability of Soil (k), Hydraulic Gradient to Head Loss (i), Cross-Sectional Area of Base (A_cs) & Time Taken to Travel (t) and hit the calculate button. Here is how the Seepage Discharge in Earth Dam calculation can be explained with given input values -> 15.756 = 0.1*2.02*13*6.

FAQ

What is Seepage Discharge in Earth Dam?

The Seepage Discharge in Earth Dam is defined as amount of water flowing through underneath of dam in particular sectional area and is represented as Q_s = k*i*A_cs*t or Seepage Discharge = Coefficient of Permeability of Soil*Hydraulic Gradient to Head Loss*Cross-Sectional Area of Base*Time Taken to Travel. The Coefficient of Permeability of Soil describes how easily a liquid will move through the soil, Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum, Cross-Sectional Area of Base is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & Time Taken to Travel is the total time taken by an object to reach its destination.

How to calculate Seepage Discharge in Earth Dam?

The Seepage Discharge in Earth Dam is defined as amount of water flowing through underneath of dam in particular sectional area is calculated using Seepage Discharge = Coefficient of Permeability of Soil*Hydraulic Gradient to Head Loss*Cross-Sectional Area of Base*Time Taken to Travel. To calculate Seepage Discharge in Earth Dam, you need Coefficient of Permeability of Soil (k), Hydraulic Gradient to Head Loss (i), Cross-Sectional Area of Base (A_cs) & Time Taken to Travel (t). With our tool, you need to enter the respective value for Coefficient of Permeability of Soil, Hydraulic Gradient to Head Loss, Cross-Sectional Area of Base & Time Taken to Travel 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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