Loss Rates

For calculating the infiltration rate, three subroutines are available as follows.

1. LossGreenAmpt
2. LossInitialConstant
3. LossSCSCurveNumber

1. LossGreenAmpt

<Official Users Manual>

3.2 LOSSGREENAMPT Losses Using Greenand Ampt Infiltration Formula
Purpose:                
Computes precipitation excess using Green and Ampt infiltration formula.
Calling Sequence:              
Call LOSSGREENAMPT(TIMEINTERVAL, STARTINITIALLOSS, ENDINITIALLOSS, MOISTUREDEFICIT, SUCTION, CONDUCTIVITY, STARTINFILTRATION, FINALINFILTRATION, IMPERVIOUSAREARATIO, NUMBERPRECIP, PRECIP(1), EXCESS(1), ERRORCODE, ERRORMESSAGE, L_errorMessage)
Declarations:              
INTEGER TIMEINTERVAL
DOUBLE PRECISION STARTINITIALLOSS, ENDINITIALLOSS
DOUBLE PRECISION MOISTUREDEFICIT, SUCTION, CONDUCTIVITY
DOUBLE PRECISION STARTINFILTRATION, FINALINFILTRATION
DOUBLE PRECISION IMPERVIOUSAREARATIO
INTEGER NUMBERPRECIP
DOUBLE PRECISION PRECIP(NUMBERPRECIP), EXCESS(NUMBERPRECIP)
INTEGER*4 ERRORCODE
CHARACTER ERRORMESSAGE*60
Augument Description:            
TIMEINTERVAL (Input) Time interval in minutes
STARTINITIALLOSS (Input) Starting value for initial abstraction, depth units; same units of depth as precip and excess. All precipitation will be lost until this amount is satisfied
ENDINITIALLOSS (Output) State of initial abstraction after end of precipitation, depth units
MOISTUREDEFICIT (Input) moisture deficit as beginning of precipitation event, volume.volume
SUCTION (Input) Wetting front suction, depth units.
CONDUCTIVITY (Input) Hydraulic Conductivity, depth/hour
STARTINFILTRATION (Input) Cumulative infiltration occurring before first value in precip array, depth units. Set this value to zero at the beginning of an event
FINALINFILTRATION (Input) Cumulative infiltration occurring through the last value in the precip array, depth units.
IMPERVIOUSAREARATIO (Input) Impervious area as a ratio of the basin area.
NUMBERPRECIP (Input) Number of precipitation values.
PRECIP (Input) Array of precipitation depths. Each value represents of precipitation occurring over the basin in each time interval.
EXCESS (Output) Array of precipitation excess depths, including excess from impervious area; represents the depth of precipitation excess occurring in each time interval.
ERRORCODE (Output) Coded integer indicating error number, severity and subroutine name. See subroutine DecodeErroCode
ERRORMESSAGE (Output) Errormessage. See Remarks.
Remarks:                
The Green and Ampt formula computes cumulative infiltration from the beginning of an event, so if this subroutine is called in the middle of an event, cumulative infiltration from the beginning of the event needs to be set.
Error severity errorMessage
0 0
11 4 Moisture deficit, suction, or conductivity is zero or negative: xxx, xxx, xxx
15 4 Invalid value for impervious area ratio: XXX
Subroutines Called:              
GREENAMPTINFILTRATION
GREENAMPTTIMECORRECTION
GREENAMPTPONDTIME
IMPERVIOUSAREAEXCESS          

<Download LOSSGREENAMPT.xls>

2. LossInitialConstant

<Official Users Manual>

3.3 LOSSINITIALCONSTANT Initial Loss and Constant Loss Rate
Purpose:                
Computes precipitation excess using initial loss
Calling Sequence:              
CALL LOSSINITIALCONSTANT(TIMEINTERVAL, STARTINITIALLOSS, ENDINITIALLOSS, CONSTANTLOSSRATE, IMPERVIOUSAREARATIO, NUMBERPRECIP, PRECIP, EXCESS, ERRORCODE, ERRORMESSAGE)
Declarations:              
INTEGER TIMEINTERVAL
DOUBLE PRECISION STARTINITIALLOSS, ENDINITIALLOSS
DOUBLE PRECISION CONSTANTLOSSRATE
DOUBLE PRECISION IMPERVIOUSAREARATIO
INTEGER NUMBERPRECIP
DOUBLE PRECISION PRECIP(NUMBERPRECIP), EXCESS(NUMBERPRECIP)
INTEGER*4 ERRORCODE
CHARACTER ERRORMESSAGE*60
Augument Description:            
TIMEINTERVAL (Input) Time interval in minutes
STARTINITIALLOSS (Input) Starting value for initial abstraction, depth units; same units of depth as precip and excess. All precipitation will be lost until this amount is satisfied.
ENDINITIALLOSS (Output) State of initial abstraction after end of precipitation, depth units.
CONSTANTLOSSRATE (Input) Constant loss rate, depth units/hour
IMPERVIOUSAREARATIO (Input) Impervious area as a ratio of the basin area.
NUMBERPRECIP (Input) Number of precipitation values.
PRECIP (Input) Array of precipitation depths. Each value represents of precipitation occurring over the basin in each time interval.
EXCESS (Output) Array of precipitation excess values; represents the depth of precipitation excess occurring in each time interval.
ERRORCODE (Output) Coded integer indicating error number, severity and subroutine name. See subroutine DecodeErroCode
ERRORMESSAGE (Output) Errormessage. See Remarks.
Remarks:                
Error severity errorMessage
0 0
15 4 Invalid value for impervious area ratio: XXX
Subroutines Called:              
IMPERVIOUSAREAEXCESS            

<Download LOSSINITIALCONSTANT.xls>

3. LossSCSCurveNumber

Soil Conservation Service(SCS) Curve Number(CN) model estimates precipitation excess as a function of cumulative precipitation, soil cover, land use, and antecedent moisture, using the following equation:

                                          

              Pe = Accumulated precipitation excess at time t (mm)
              P = Accumulated rainfall depth at time t (mm)
              Ia = the initial abstraction (initial loss) (mm)
              S = potential maximum retention (mm)                                     


                                  

           
(For SI Unit)

              CN= Curve number (30 < CN < 100)
For estimating the CN, you can refer to several CN tables proposed by SCS (HEC-HMS technical manual).

<Official Users Manual>

3.4 LOSSSCSCURVENUMBER SCS Curve number
Purpose:                
Computes precipitation excess based on SCS curve number.
Calling Sequence:              
Call LOSSSCSCURVENUMBER(CURVENUMBER, INITIALABSTRACTION, INITIALCUMULATIVEPRECIP, FINALCUMULATIVEPRECIP, IMPERVIOUSAREARATION, NUMBERPRECIP, PRECIP(1), EXCESS(1), ERRORCODE, ERRORMESSAGE)
Declarations:              
DOUBLE PRECISION CURVENUMBER
DOUBLE PRECISION INITIALABSTRACTION
DOUBLE PRECISION INITIALCUMULATIVE PRECIP, FINALCUMULATIVEPRECIP
DOUBLE PRECISION INPERVIOUSAREARATIO
INTEGER NUMBERPRECIP
DOUBLE PRECISION PRECIP(NUMBERPRECIP), EXCESS(NUMBERPRECIP)
INTEGER*4 ERRORCODE
CHARACTER ERRORMESSAGE*60
Argument Description:            
CURVENUMBER (Input) SCS Curve Number
INITIALABSTRACTION (Input) Moisture deficit, mm
INITIALCUMULATIVEPRECIP (Input) Accumulated precipitation occurring before first value in precip array; mm
FINALCUMULATIVEPRECIP (Output) Accumulated precipitation occurring through last value in precip array; mm
IMPERVIOUSAREARATIO (Input) Impervious area as a ratio of the basin area.
NUMBERPRECIP (Input) Number of precipitation values.
PRECIP (Input) Array of precipitation depths. Each value represents of precipitation occurring over the basin in each time interval.
EXCESS (Output) Array of precipitation excess depths, including excess from impervious area; represents the depth of precipitation excess occurring in each time interval.
ERRORCODE (Output) Coded integer indicating error number, severity and subroutine name. See subroutine DecodeErroCode
ERRORMESSAGE (Output) Errormessage. See Remarks.
Remarks:                
Error severity errorMessage
0 0
11 4 Invalid curve number
15 4 Invalid value for impervious area ratio: XXX
Subroutines Called:              
IMPERVIOUSAREAEXCESS            

<Download LOSSSCSCURVENUMBER.xls>