✖The Constant C varies from 0.0153 for East Anglia to 0.0315 for the southwest of England.ⓘ Constant C [C_NERC]			+10% -10%
✖The Area of Catchment refers to the land where all water flows to a single stream, river, lake or even ocean.ⓘ Area [A_NERC]			+10% -10%
✖The Stream Frequency refers to the total number of channel segments of all stream orders per unit area (no. of stream junctions/Area).ⓘ Stream Frequency [SF]			+10% -10%
✖The Slope of the Catchment refers to the stream profile and is defined as the horizontal distance along the mainstream/the elevation difference between the two endpoints of the mainstream.ⓘ Slope of the Catchment [S_C]			+10% -10%
✖The Soil Type Index refers to the soil's behavior type according to where on the Ic spectrum a soil falls.ⓘ Soil Type Index [SO]			+10% -10%
✖The RSMD refers to the depth of the M51D (in mm) minus the effective mean soil moisture deficit SMDBAR.ⓘ RSMD			+10% -10%
✖The Area of Lakes or Reservoirs refers to the surface water from rain, melting snow, or ice converges to a single point at a lower elevation.ⓘ Area of Lakes or Reservoirs [a]			+10% -10%

✖The Mean Annual Flood refers to the mean of the annual maximum flow series of a catchment.ⓘ Mean Annual Flood proposed by Natural Environment Research Council [Q_mean]

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Mean Annual Flood proposed by Natural Environment Research Council

Formula

`"Q"_{"mean"} = "C"_{"NERC"}*"A"_{"NERC"}^(0.94)*"SF"^(0.27)*"S"_{"C"}^(0.16)*"SO"^(1.23)*"RSMD"^(1.03)*(1+"a")^-0.85`

Example

`"25.045m³/s"="0.0315"*("7.6")^(0.94)*("5.5")^(0.27)*("8.7")^(0.16)*("8.9")^(1.23)*("49.2")^(1.03)*(1+"24m²")^-0.85`

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Mean Annual Flood proposed by Natural Environment Research Council Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Annual Flood = Constant C*Area^(0.94)*Stream Frequency^(0.27)*Slope of the Catchment^(0.16)*Soil Type Index^(1.23)*RSMD^(1.03)*(1+Area of Lakes or Reservoirs)^-0.85
Q_mean = C_NERC*A_NERC^(0.94)*SF^(0.27)*S_C^(0.16)*SO^(1.23)*RSMD^(1.03)*(1+a)^-0.85
This formula uses 8 Variables

Variables Used

Mean Annual Flood - (Measured in Cubic Meter per Second) - The Mean Annual Flood refers to the mean of the annual maximum flow series of a catchment.
Constant C - The Constant C varies from 0.0153 for East Anglia to 0.0315 for the southwest of England.
Area - The Area of Catchment refers to the land where all water flows to a single stream, river, lake or even ocean.
Stream Frequency - The Stream Frequency refers to the total number of channel segments of all stream orders per unit area (no. of stream junctions/Area).
Slope of the Catchment - The Slope of the Catchment refers to the stream profile and is defined as the horizontal distance along the mainstream/the elevation difference between the two endpoints of the mainstream.
Soil Type Index - The Soil Type Index refers to the soil's behavior type according to where on the Ic spectrum a soil falls.
RSMD - The RSMD refers to the depth of the M51D (in mm) minus the effective mean soil moisture deficit SMDBAR.
Area of Lakes or Reservoirs - (Measured in Square Meter) - The Area of Lakes or Reservoirs refers to the surface water from rain, melting snow, or ice converges to a single point at a lower elevation.

STEP 1: Convert Input(s) to Base Unit

Constant C: 0.0315 --> No Conversion Required
Area: 7.6 --> No Conversion Required
Stream Frequency: 5.5 --> No Conversion Required
Slope of the Catchment: 8.7 --> No Conversion Required
Soil Type Index: 8.9 --> No Conversion Required
RSMD: 49.2 --> No Conversion Required
Area of Lakes or Reservoirs: 24 Square Meter --> 24 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_mean = C_NERC*A_NERC^(0.94)*SF^(0.27)*S_C^(0.16)*SO^(1.23)*RSMD^(1.03)*(1+a)^-0.85 --> 0.0315*7.6^(0.94)*5.5^(0.27)*8.7^(0.16)*8.9^(1.23)*49.2^(1.03)*(1+24)^-0.85

Evaluating ... ...

Q_mean = 25.0450033299277

STEP 3: Convert Result to Output's Unit

25.0450033299277 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

25.0450033299277 ≈ 25.045 Cubic Meter per Second <-- Mean Annual Flood

(Calculation completed in 00.004 seconds)

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< 12 Water Budget Equation for a Catchment Calculators

Mean Annual Flood proposed by Natural Environment Research Council

Go Mean Annual Flood = Constant C*Area^(0.94)*Stream Frequency^(0.27)*Slope of the Catchment^(0.16)*Soil Type Index^(1.23)*RSMD^(1.03)*(1+Area of Lakes or Reservoirs)^-0.85

Surface Water Storage given Storage of Water in Catchment

Go Change in Surface Water Storage = Storage of Water-Change in Soil Moisture Storage-Change in Groundwater Storage

Ground Water Storage given Storage of Water in Catchment

Go Change in Groundwater Storage = Storage of Water-Change in Surface Water Storage-Change in Soil Moisture Storage

Soil Moisture Storage given Storage of Water

Go Change in Soil Moisture Storage = Storage of Water-Change in Surface Water Storage-Change in Groundwater Storage

Change in Storage of Water in Catchment

Go Storage of Water = Change in Groundwater Storage+Change in Soil Moisture Storage+Change in Surface Water Storage

Mass Outflow given Change in Mass Storage

Go Mass Outflow = Outflow Rate-Change in Mass Storage

Mass Inflow given Change in Mass Storage

Go Outflow Rate = Change in Mass Storage+Mass Outflow

Continuity equation for water balance

Go Change in Mass Storage = Outflow Rate-Mass Outflow

Catchment Area given Peak Discharge in Jarvis formula

Go Catchment Area = (Peak Discharge/Coefficient)^2

Precipitation in Rainfall Runoff Relationship

Go Precipitation = Surface Runoff+Runoff Losses

Runoff Losses in Rainfall Runoff Relationship

Go Runoff Losses = Precipitation-Surface Runoff

Rainfall Runoff Relationship

Go Surface Runoff = Precipitation-Runoff Losses

Mean Annual Flood proposed by Natural Environment Research Council Formula

What is Mean annual flood?

The mean annual flood Q is determined as the mean of the annual maximum flow series of a catchment. The highest flow at a point on a stream during any particular calendar year or water year. Flow may be expressed as maximum instantaneous stage or discharge, or the highest 24-h average.

How to Calculate Mean Annual Flood proposed by Natural Environment Research Council?

Mean Annual Flood proposed by Natural Environment Research Council calculator uses Mean Annual Flood = Constant C*Area^(0.94)*Stream Frequency^(0.27)*Slope of the Catchment^(0.16)*Soil Type Index^(1.23)*RSMD^(1.03)*(1+Area of Lakes or Reservoirs)^-0.85 to calculate the Mean Annual Flood, The Mean Annual Flood proposed by Natural Environment Research Council formula is defined as from the engineering viewpoint, qualitative measures of catchment characteristics are inadequate in themselves, and quantitative measures are necessary to predict flood magnitudes. Mean Annual Flood is denoted by Q_mean symbol.

How to calculate Mean Annual Flood proposed by Natural Environment Research Council using this online calculator? To use this online calculator for Mean Annual Flood proposed by Natural Environment Research Council, enter Constant C (C_NERC), Area (A_NERC), Stream Frequency (SF), Slope of the Catchment (S_C), Soil Type Index (SO), RSMD (RSMD) & Area of Lakes or Reservoirs (a) and hit the calculate button. Here is how the Mean Annual Flood proposed by Natural Environment Research Council calculation can be explained with given input values -> 25.045 = 0.0315*7.6^(0.94)*5.5^(0.27)*8.7^(0.16)*8.9^(1.23)*49.2^(1.03)*(1+24)^-0.85.

FAQ

What is Mean Annual Flood proposed by Natural Environment Research Council?

The Mean Annual Flood proposed by Natural Environment Research Council formula is defined as from the engineering viewpoint, qualitative measures of catchment characteristics are inadequate in themselves, and quantitative measures are necessary to predict flood magnitudes and is represented as Q_mean = C_NERC*A_NERC^(0.94)*SF^(0.27)*S_C^(0.16)*SO^(1.23)*RSMD^(1.03)*(1+a)^-0.85 or Mean Annual Flood = Constant C*Area^(0.94)*Stream Frequency^(0.27)*Slope of the Catchment^(0.16)*Soil Type Index^(1.23)*RSMD^(1.03)*(1+Area of Lakes or Reservoirs)^-0.85. The Constant C varies from 0.0153 for East Anglia to 0.0315 for the southwest of England, The Area of Catchment refers to the land where all water flows to a single stream, river, lake or even ocean, The Stream Frequency refers to the total number of channel segments of all stream orders per unit area (no. of stream junctions/Area), The Slope of the Catchment refers to the stream profile and is defined as the horizontal distance along the mainstream/the elevation difference between the two endpoints of the mainstream, The Soil Type Index refers to the soil's behavior type according to where on the Ic spectrum a soil falls, The RSMD refers to the depth of the M51D (in mm) minus the effective mean soil moisture deficit SMDBAR & The Area of Lakes or Reservoirs refers to the surface water from rain, melting snow, or ice converges to a single point at a lower elevation.

How to calculate Mean Annual Flood proposed by Natural Environment Research Council?

The Mean Annual Flood proposed by Natural Environment Research Council formula is defined as from the engineering viewpoint, qualitative measures of catchment characteristics are inadequate in themselves, and quantitative measures are necessary to predict flood magnitudes is calculated using Mean Annual Flood = Constant C*Area^(0.94)*Stream Frequency^(0.27)*Slope of the Catchment^(0.16)*Soil Type Index^(1.23)*RSMD^(1.03)*(1+Area of Lakes or Reservoirs)^-0.85. To calculate Mean Annual Flood proposed by Natural Environment Research Council, you need Constant C (C_NERC), Area (A_NERC), Stream Frequency (SF), Slope of the Catchment (S_C), Soil Type Index (SO), RSMD (RSMD) & Area of Lakes or Reservoirs (a). With our tool, you need to enter the respective value for Constant C, Area, Stream Frequency, Slope of the Catchment, Soil Type Index, RSMD & Area of Lakes or Reservoirs 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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