Watershed Length when Sediment Delivery Ratio is considered Solution

STEP 0: Pre-Calculation Summary
Formula Used
Watershed Length = Watershed Relief/(Sediment Delivery Ratio/(Coefficient K*(Watershed Area^Coefficient m)))^(1/Constant n)
L = R/(SDR/(k*(A^m)))^(1/n)
This formula uses 7 Variables
Variables Used
Watershed Length - (Measured in Meter) - Watershed Length is distance from outlet to watershed boundary along main channel.
Watershed Relief - Watershed Relief or elevation difference. Watershed relief is the elevation difference between highest and lowest points of valley floor.
Sediment Delivery Ratio - Sediment Delivery Ratio is defined as the sediment yield from an area divided by the gross erosion of that same area.
Coefficient K - Coefficient K in Logarithmic Transformation which reduces or removes the skewness of our original data.
Watershed Area - (Measured in Square Meter) - Watershed Area is an isolated area with a well demarcated boundary line, draining the rainwater to a single outlet.
Coefficient m - Coefficient m in Logarithmic Transformation which reduces or removes the skewness of our original data.
Constant n - Constant n is for the catchment to be determined by the effective rainfall of the catchment.
STEP 1: Convert Input(s) to Base Unit
Watershed Relief: 10 --> No Conversion Required
Sediment Delivery Ratio: 0.001965 --> No Conversion Required
Coefficient K: 0.1 --> No Conversion Required
Watershed Area: 20 Square Meter --> 20 Square Meter No Conversion Required
Coefficient m: 0.3 --> No Conversion Required
Constant n: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = R/(SDR/(k*(A^m)))^(1/n) --> 10/(0.001965/(0.1*(20^0.3)))^(1/3)
Evaluating ... ...
L = 50.0013981100595
STEP 3: Convert Result to Output's Unit
50.0013981100595 Meter --> No Conversion Required
FINAL ANSWER
50.0013981100595 50.0014 Meter <-- Watershed Length
(Calculation completed in 00.004 seconds)

Credits

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3 Movement of Sediments from Watersheds Calculators

Watershed Relief when Sediment Delivery Ratio is considered
Go Watershed Relief = Watershed Length*(Sediment Delivery Ratio/(Coefficient K*(Watershed Area^Coefficient m)))^(1/Constant n)
Watershed Length when Sediment Delivery Ratio is considered
Go Watershed Length = Watershed Relief/(Sediment Delivery Ratio/(Coefficient K*(Watershed Area^Coefficient m)))^(1/Constant n)
Equation for Sediment Delivery Ratio
Go Sediment Delivery Ratio = Coefficient K*(Watershed Area^Coefficient m)*(Watershed Relief/Watershed Length)^Constant n

Watershed Length when Sediment Delivery Ratio is considered Formula

Watershed Length = Watershed Relief/(Sediment Delivery Ratio/(Coefficient K*(Watershed Area^Coefficient m)))^(1/Constant n)
L = R/(SDR/(k*(A^m)))^(1/n)

What is Sediment Delivery Ratio (SDR)?

Sediment delivery ratio (SDR) is defined as the sediment yield from an area divided by the gross erosion of that same area. SDR is expressed as a percent and represents the efficiency of the watershed in moving soil particles from areas of erosion to the point where sediment yield is measured.

How to Calculate Watershed Length when Sediment Delivery Ratio is considered?

Watershed Length when Sediment Delivery Ratio is considered calculator uses Watershed Length = Watershed Relief/(Sediment Delivery Ratio/(Coefficient K*(Watershed Area^Coefficient m)))^(1/Constant n) to calculate the Watershed Length, The Watershed Length when Sediment Delivery Ratio is considered formula is defined as the length of the mainstream from its source (projected to the perimeter) to the outlet. Watershed Length is denoted by L symbol.

How to calculate Watershed Length when Sediment Delivery Ratio is considered using this online calculator? To use this online calculator for Watershed Length when Sediment Delivery Ratio is considered, enter Watershed Relief (R), Sediment Delivery Ratio (SDR), Coefficient K (k), Watershed Area (A), Coefficient m (m) & Constant n (n) and hit the calculate button. Here is how the Watershed Length when Sediment Delivery Ratio is considered calculation can be explained with given input values -> 9.156293 = 10/(0.001965/(0.1*(20^0.3)))^(1/3).

FAQ

What is Watershed Length when Sediment Delivery Ratio is considered?
The Watershed Length when Sediment Delivery Ratio is considered formula is defined as the length of the mainstream from its source (projected to the perimeter) to the outlet and is represented as L = R/(SDR/(k*(A^m)))^(1/n) or Watershed Length = Watershed Relief/(Sediment Delivery Ratio/(Coefficient K*(Watershed Area^Coefficient m)))^(1/Constant n). Watershed Relief or elevation difference. Watershed relief is the elevation difference between highest and lowest points of valley floor, Sediment Delivery Ratio is defined as the sediment yield from an area divided by the gross erosion of that same area, Coefficient K in Logarithmic Transformation which reduces or removes the skewness of our original data, Watershed Area is an isolated area with a well demarcated boundary line, draining the rainwater to a single outlet, Coefficient m in Logarithmic Transformation which reduces or removes the skewness of our original data & Constant n is for the catchment to be determined by the effective rainfall of the catchment.
How to calculate Watershed Length when Sediment Delivery Ratio is considered?
The Watershed Length when Sediment Delivery Ratio is considered formula is defined as the length of the mainstream from its source (projected to the perimeter) to the outlet is calculated using Watershed Length = Watershed Relief/(Sediment Delivery Ratio/(Coefficient K*(Watershed Area^Coefficient m)))^(1/Constant n). To calculate Watershed Length when Sediment Delivery Ratio is considered, you need Watershed Relief (R), Sediment Delivery Ratio (SDR), Coefficient K (k), Watershed Area (A), Coefficient m (m) & Constant n (n). With our tool, you need to enter the respective value for Watershed Relief, Sediment Delivery Ratio, Coefficient K, Watershed Area, Coefficient m & Constant n 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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