Water Budget Equation for Catchment given Time Interval Calculator

✖Precipitation is the primary water input to the hydrologic cycle and is evaluated for all water budget calculations.ⓘ Precipitation [P]			+10% -10%
✖Surface Runoff water, from rain, snowmelt, or other sources, that flows over the land surface, and is a major component of the water cycle.ⓘ Surface Runoff [S_r]			+10% -10%
✖Net Ground Water Flowing Outside Catchment is a steady-state groundwater flow through aquifers.ⓘ Net Ground Water Flowing Outside Catchment [I]			+10% -10%
✖Evaporation from water body (mm/day) is the process by which liquid water from an open water surface is converted directly to water vapor.ⓘ Evaporation from Water Body [E]			+10% -10%
✖Transpiration is the process of water movement through a plant and its evaporation from aerial parts, such as leaves, stems and flowers.ⓘ Transpiration [T]			+10% -10%

✖Change in Mass Storage for a given catchment area in any interval of time.ⓘ Water Budget Equation for Catchment given Time Interval [Δs]

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Water Budget Equation for Catchment given Time Interval

Formula

`"Δs" = "P"-"S"_{"r"}-"I"-"E"-"T"`

Example

`"-2918.754m"="0.3m"-"0.05m³/s"-"12m³/s"-"2907"-"4mm"`

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Water Budget Equation for Catchment given Time Interval Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Mass Storage = Precipitation-Surface Runoff-Net Ground Water Flowing Outside Catchment-Evaporation from Water Body-Transpiration
Δs = P-S_r-I-E-T
This formula uses 6 Variables

Variables Used

Change in Mass Storage - (Measured in Meter) - Change in Mass Storage for a given catchment area in any interval of time.
Precipitation - (Measured in Meter) - Precipitation is the primary water input to the hydrologic cycle and is evaluated for all water budget calculations.
Surface Runoff - (Measured in Cubic Meter per Second) - Surface Runoff water, from rain, snowmelt, or other sources, that flows over the land surface, and is a major component of the water cycle.
Net Ground Water Flowing Outside Catchment - (Measured in Cubic Meter per Second) - Net Ground Water Flowing Outside Catchment is a steady-state groundwater flow through aquifers.
Evaporation from Water Body - Evaporation from water body (mm/day) is the process by which liquid water from an open water surface is converted directly to water vapor.
Transpiration - (Measured in Meter) - Transpiration is the process of water movement through a plant and its evaporation from aerial parts, such as leaves, stems and flowers.

STEP 1: Convert Input(s) to Base Unit

Precipitation: 0.3 Meter --> 0.3 Meter No Conversion Required
Surface Runoff: 0.05 Cubic Meter per Second --> 0.05 Cubic Meter per Second No Conversion Required
Net Ground Water Flowing Outside Catchment: 12 Cubic Meter per Second --> 12 Cubic Meter per Second No Conversion Required
Evaporation from Water Body: 2907 --> No Conversion Required
Transpiration: 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δs = P-S_r-I-E-T --> 0.3-0.05-12-2907-0.004

Evaluating ... ...

Δs = -2918.754

STEP 3: Convert Result to Output's Unit

-2918.754 Meter --> No Conversion Required

FINAL ANSWER

-2918.754 Meter <-- Change in Mass Storage

(Calculation completed in 00.004 seconds)

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< 15 Water budget equation for a catchment Calculators

Daily Precipitation from Water Budget Continuity Equation

Go Precipitation = Daily Surface Outflow+Daily Seepage Outflow+Daily Lake Evaporation+Increase in Lake Storage in a Day+Daily Transpiration Loss-Daily Surface Inflow-Daily Groundwater Inflow

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

Water Budget Equation for Catchment given Time Interval

Go Change in Mass Storage = Precipitation-Surface Runoff-Net Ground Water Flowing Outside Catchment-Evaporation from Water Body-Transpiration

Change in Storage of Water in Catchment

Go Change in Storage Volumes = Change in Groundwater Storage+Change in Soil Moisture Storage+Change in Groundwater Storage

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

Storage of Water in Catchment

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

Mass outflow given Change in mass storage

Go Mass Outflow = Outflow Rate-Change in Mass Storage

Mass in flow 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

Water Budget Equation for Catchment given Time Interval Formula

Change in Mass Storage = Precipitation-Surface Runoff-Net Ground Water Flowing Outside Catchment-Evaporation from Water Body-Transpiration
Δs = P-S_r-I-E-T

What is Precipitation?

Precipitation is any product of the condensation of atmospheric vapor of water that falls under gravitational pull from clouds.

What is Surface Runoff?

Surface runoff is water, from rain, snowmelt, or other sources, that flows over the land surface, and is a major component of the water cycle. Runoff that occurs on surfaces before reaching a channel is also called overland flow.

How to Calculate Water Budget Equation for Catchment given Time Interval?

Water Budget Equation for Catchment given Time Interval calculator uses Change in Mass Storage = Precipitation-Surface Runoff-Net Ground Water Flowing Outside Catchment-Evaporation from Water Body-Transpiration to calculate the Change in Mass Storage, The Water Budget Equation for Catchment given Time Interval is defined by the parameters precipitation, surface runoff, net ground water flowing outside the catchment, evaporation and transpiration. Change in Mass Storage is denoted by Δs symbol.

How to calculate Water Budget Equation for Catchment given Time Interval using this online calculator? To use this online calculator for Water Budget Equation for Catchment given Time Interval, enter Precipitation (P), Surface Runoff (S_r), Net Ground Water Flowing Outside Catchment (I), Evaporation from Water Body (E) & Transpiration (T) and hit the calculate button. Here is how the Water Budget Equation for Catchment given Time Interval calculation can be explained with given input values -> -59.754 = 0.3-0.05-12-2907-0.004.

FAQ

What is Water Budget Equation for Catchment given Time Interval?

The Water Budget Equation for Catchment given Time Interval is defined by the parameters precipitation, surface runoff, net ground water flowing outside the catchment, evaporation and transpiration and is represented as Δs = P-S_r-I-E-T or Change in Mass Storage = Precipitation-Surface Runoff-Net Ground Water Flowing Outside Catchment-Evaporation from Water Body-Transpiration. Precipitation is the primary water input to the hydrologic cycle and is evaluated for all water budget calculations, Surface Runoff water, from rain, snowmelt, or other sources, that flows over the land surface, and is a major component of the water cycle, Net Ground Water Flowing Outside Catchment is a steady-state groundwater flow through aquifers, Evaporation from water body (mm/day) is the process by which liquid water from an open water surface is converted directly to water vapor & Transpiration is the process of water movement through a plant and its evaporation from aerial parts, such as leaves, stems and flowers.

How to calculate Water Budget Equation for Catchment given Time Interval?

The Water Budget Equation for Catchment given Time Interval is defined by the parameters precipitation, surface runoff, net ground water flowing outside the catchment, evaporation and transpiration is calculated using Change in Mass Storage = Precipitation-Surface Runoff-Net Ground Water Flowing Outside Catchment-Evaporation from Water Body-Transpiration. To calculate Water Budget Equation for Catchment given Time Interval, you need Precipitation (P), Surface Runoff (S_r), Net Ground Water Flowing Outside Catchment (I), Evaporation from Water Body (E) & Transpiration (T). With our tool, you need to enter the respective value for Precipitation, Surface Runoff, Net Ground Water Flowing Outside Catchment, Evaporation from Water Body & Transpiration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Change in Mass Storage?

In this formula, Change in Mass Storage uses Precipitation, Surface Runoff, Net Ground Water Flowing Outside Catchment, Evaporation from Water Body & Transpiration. We can use 1 other way(s) to calculate the same, which is/are as follows -

Change in Mass Storage = Outflow Rate-Mass Outflow

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