Basics of Crop Water Requirements in Irrigation Engineering

 
BASICS  IN IRRIGATION ENGINEERING
2.1. Planning Irrigation
systems
2.2. soil-plant-water relation 
over view
2.3. Crop water requirement
2.4. 
Base, delta and duty
CHAPTER II
CHAPTER II
2
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It is defined as 
“the depth of water 
needed to
meet the water loss 
through 
evapotranspiration
(ETcrop) 
of a disease free crop growing in large
fields under non-restricting soil conditions
including soil water and fertility and 
achieving
full production potential
 under the given growing
environment”.
 
It is the 
quantity of water required 
by the crop 
in
a given period of time to 
meet its normal growth
under a given set of environmental & field
conditions.
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The determination of 
water requirements 
is the
main part of the 
design and planning 
of an
irrigation system.
 
The 
water requirement
 is the water required to
meet the 
water losses
 through
 
Evapotranspiration (ET)
Unavoidable application losses
Other needs such as leaving & land
preparation
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The 
water requirement of crops 
may be
contributed from 
different sources 
such as
i
rrigation
, 
Effective rainfall
, 
Soil moisture storage
and 
ground water contributions.
 
Hence, WR = IR + ER + S + GW
Where,
     IR = Irrigation requirement
    ER = Effective rainfall
     S   = carry over soil moisture in the crop root
zone
   GW  = ground water contribution
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Irrigation water requirement of crops 
is defined
as the 
part of water requirement of crops that
should be fulfilled by irrigation
 
In other words, it is the 
water requirement of
crops excluding effective rain fall, 
carry over soil
moisture and 
ground water contributions
.
  WR=IR +ER + S +GW
 
IR= WR-(ER+S+GW)
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Effective rainfall 
can be defined as the 
rainfall
that is stored in the root zone 
and can be
utilized by crops.
All the rainfall that falls is not useful or effective.
As the total amount of rainfall varies, so does
the amount of useful or effective rainfall.
Some of the seasonal rainfall
 that falls will 
be
lost 
as unnecessary 
deep percolation
; 
surface
runoff 
and 
some water may remain in the soil
after the crop is harvested.
From the water requirement of crops point of
view, this water, which is lost, is ineffective.
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People in 
different disciplines
 define effective
rainfall in different ways.
To a 
canal irrigation engineer
, it is the rainfall
that 
reaches the storage reservoir
,
to a 
hydropower engineer
, it is the rain fall
that is useful for 
running the turbines 
and
for 
Ground water engineers 
or Geo –
hydrologists, it is that 
portion of the rainfall
that contributes to the 
ground water reservoir
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The effective rainfall is taken as a fixed
percentage of the monthly rainfall;
 
Effective Rainfall = % of Total Rainfall
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An empirical formula developed by
FAO/AGLW based on analysis for different
arid and sub-humid climates.
 
Effective Rainfall = 0.6 * Total Rainfall - 10 ...
(Total Rainfall < 70 mm)
 
Effective Rainfall = 0.8 * Total Rainfall - 24 ...
(Total Rainfall > 70 mm)
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This formula is similar to FAO/AGLW formula
(see Dependable Rain method above) with
some parameters left to the user to define.
 
Effective Rainfall = a * Total Rainfall - b ...
(Total Rainfall < z mm)
 
Effective Rainfall = c * Total Rainfall - d ...
(Total Rainfall > z mm)
where a, b, c, and z are the variables to be
defined by the user.
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The effective rainfall is calculated according to
the formula developed by the USDA Soil
Conservation Service:
 
Effective Rainfall = Total Rainfall / 125 * (125 -
0.2 * Total Rainfall) …(Total Rainfall < 250 mm)
 
Effective Rainfall = 125 + 0.1 * Total Rainfall ..
(Total Rainfall > 250 mm)
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Some times there is a 
contribution from the
groundwater reservoir for water requirement of
crops.
The 
actual contribution from the groundwater table
is 
dependent on the depth of ground water table
below the root zone 
& 
capillary characteristics 
of
soil.
For 
clayey soils 
the 
rate of movement is low 
and
distance of upward movement is high 
while
for 
light textured soils 
the 
rate is high
 
and the
distance of movement is low.
For 
practical purposes the GW contribution
 when
the 
ground water table is below 3m
 is assumed to
be 
nil.
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This is the 
moisture retained in the crop root
zone 
b/n cropping seasons 
or 
before the crop
is planted.
The 
source
 of this moisture is either from the
rainfall
 that man occurs before sowing or it
may be the 
moisture that remained 
in the soil
from past irrigation
.
This moisture also 
contributes
 to the
consumptive use of water 
and should be
deducted from the water requirement of crops
in determining irrigation requirements.
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After the exact evapotranspiration of crops have been
determined the NIR should be determined.
This is 
the net amount of water applied to the crop by
irrigation exclusive of ER, S and GW.
NIR = WR – ER –S –GW
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NIR is determined during different stages of the crop 
by
dividing the whole growing season into suitable intervals.
The growing season is more preferably divided into
decades.
The ETcrop during each decade is determined by
subtracting these contributions from the ETcrop.
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Usually more amount of water than the NIR
is applied during irrigation to compensate for
the unavoidable losses.
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GIR =
NIR
             Ea
 
Where Ea =application efficiency
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This includes the water lose through
evaporation and transpiration.
 
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This loss of water 
includes
 the 
quantity of
water transpired by the plant
 and 
that
retained in the plant tissue.
 
That is, 
the water entering plant roots 
and
used to build plant tissue 
or 
being passed
through leaves of the plant into the
atmosphere.
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This is 
also called reference crop
evapotranspiration
 
it is the 
rate of evapotranspiration 
from an
extensive surface 8 to 15 cm tall
, 
green grass
cover of uniform height,
 
actively growing,
completely shading the ground 
and 
not short of
water”.
 
Under normal field conditions, 
the 
potential
evapotranspiration does not occur
 and thus
suitable crop coefficients
 are used to 
change
ETo 
to actual evapotranspiration of the crops
.
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Consumptive use (CU) 
is 
synonymous to
evapotranspiration (ETcrop).
 
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Note: CU= ET + water used by the plants in their
metabolic process for building plant tissues
(insignificant)
It involves:
Problems of water supply
Problems of water management
Economics of irrigation projects
CU use can apply to water requirements of a crop, a
farm, a field and a project.
However, when the CU of the crop is known, the
water use of larger units can be calculated.
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Prediction methods 
for crop water requirements are
used owing to the 
difficulty of obtaining accurate
field measurements.
 
The 
methods
 often need to be applied under
climatic and agronomic conditions vary different
from those under which they were originally
developed.
 
To calculate 
ETcrop a three-stage procedure 
is
recommended
 
1. The effect of climate given by the reference crop
1. The effect of climate given by the reference crop
evapotranspiration (ETo).
evapotranspiration (ETo).
 
The methods to 
calculate ETo 
presented here in are
the Blaney-Criddle method,
Thornthwaite method, the
Hargeaves class A evaporation method and
the penman method.
 
These methods are modified 
to calculate ETo 
using
the mean daily climatic data for 30 or 10 days periods.
 
 The 
choice of the method 
must be based on:
 the type of climatic data available and
on the accuracy required in determining water needs.
2. The effect of crop characteristics.
2. The effect of crop characteristics.
 
This is given by the 
crop coefficient (Kc)
which 
presents the relationship between ETo
and ETcrop.
ETcrop= Kc . ETo
 
Values of Kc vary with the
-  type of crop
-
its stage of growth
-
growing season and
-
the prevailing weather conditions
 
3. Effect of local conditions and agricultural practices
3. Effect of local conditions and agricultural practices
 
This includes:
-
the variation in climate over time
 
-
size of field
 
-
distance and altitude
 
-
soil water availability
 
 
- Irrigation and cultivation methods and
practices.
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t
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s
s
 
 
A
A
f
f
f
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c
c
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g
 
 
C
C
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p
p
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U
U
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o
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f
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W
W
a
a
t
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r
r
:
:
 
 
-
-
 
The 
consumptive use of water
is not constant throughout the stages of the crop
and also
varies for different types of crops.
Generally the factors affecting consumptive
use of water can be classified as
 
climatic factors.
 
crop factors
A
A
.
.
 
 
C
C
l
l
i
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m
m
a
a
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c
c
 
 
f
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:
 
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t
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p
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w
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.
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S
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m
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s
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w
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r
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b
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t
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s
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f
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w
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b
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r
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e
a
s
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y
.
H
u
m
i
d
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:
 
-
 
T
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m
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t
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a
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h
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.
 
T
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b
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w
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p
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e
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h
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s
:
 
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l
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t
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d
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w
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r
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t
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s
u
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.
 
T
h
i
s
 
i
n
c
r
e
a
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t
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r
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o
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r
a
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u
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c
r
o
p
s
.
B
B
.
.
 
 
C
C
r
r
o
o
p
p
 
 
f
f
a
a
c
c
t
t
o
o
r
r
s
s
 
The agronomic feature of the crops is
variable, 
some crops completely shade the
ground while others shade only some part of
the ground.
To account these variations 
in the nature of
the crop 
suitable values of crop coefficient
are used 
to convert the PET to actual
evapotranspiration.
So 
for the same climatic conditions 
different
crops have different rates of consumptive
uses
D
D
e
e
t
t
e
e
r
r
m
m
i
i
n
n
a
a
t
t
i
i
o
o
n
n
 
 
o
o
f
f
 
 
C
C
o
o
n
n
s
s
u
u
m
m
p
p
t
t
i
i
v
v
e
e
 
 
U
U
s
s
e
e
 
 
o
o
f
f
 
 
w
w
a
a
t
t
e
e
r
r
 
Under normal field conditions PET (ETo) will
not occur and thus consumptive use
(ETcrop) can be determined by determining
the ETo and multiplying with suitable crop
coefficients (Kc).
 
Alternatively it can be determined by 
direct
measurements of soil moisture.
1
1
.
.
 
 
D
D
i
i
r
r
e
e
c
c
t
t
 
 
M
M
e
e
a
a
s
s
u
u
r
r
e
e
m
m
e
e
n
n
t
t
 
 
o
o
f
f
 
 
C
C
o
o
n
n
s
s
u
u
m
m
p
p
t
t
i
i
v
v
e
e
 
 
U
U
s
s
e
e
:
:
 
 
A) Lysimeter experiment
 
B) Field experimental plots
 
C) Soil moisture studies
 
D) Water balance method
a
a
.
.
 
 
L
L
y
y
s
s
i
i
m
m
e
e
t
t
e
e
r
r
 
 
E
E
x
x
p
p
e
e
r
r
i
i
m
m
e
e
n
n
t
t
 
Lysimeters
 are 
large containers 
having
pervious bottom
.
This experiment involves 
growing crops in
lysimeters
 there by 
measuring the water
added to it and the water loss 
(water draining)
through the pervious bottom.
Consumptive use 
is determined by
subtracting the water draining through the
bottom
 from the 
total amount of water needed
to maintain proper growth.
ETc = IR + Eff.P +or –soil moisture- Drainage
b
b
.
.
 
 
F
F
i
i
e
e
l
l
d
d
 
 
E
E
x
x
p
p
e
e
r
r
i
i
m
m
e
e
n
n
t
t
a
a
l
l
 
 
P
P
l
l
o
o
t
t
s
s
 
This is most 
suitable for determination of
seasonal water requirements.
Water is added to selected field plots
, 
yield
obtained from different fields
 are plotted
against the total amount of water used.
The 
yield increases as the water used
increases 
for some limit and 
then decreases
with further increase in water.
Production function
The 
break in the curve indicates 
the amount
of 
consumptive use of water.
C
C
.
.
 
 
S
S
o
o
i
i
l
l
 
 
M
M
o
o
i
i
s
s
t
t
u
u
r
r
e
e
 
 
S
S
t
t
u
u
d
d
i
i
e
e
s
s
:
:
 
In this method 
soil moisture measurements
are done 
before and after each irrigation
application.
Knowing the time gap 
b/n the two
consecutive irrigations
, the 
quantity of water
extracted per day
 can be computed by
dividing the total moisture depletion
 b/n the
two successive irrigations by the interval of
irrigation.
Then a curve is drawn by 
plotting 
the 
rate of
use of water
 
against the time 
from this curve,
seasonal water use of crops is determined
d
d
.
.
 
 
W
W
a
a
t
t
e
e
r
r
 
 
b
b
a
a
l
l
a
a
n
n
c
c
e
e
 
 
m
m
e
e
t
t
h
h
o
o
d
d
 
This method 
is used for determination of
consumptive use of large areas
.
It is expressed by the following equation.
Precipitation = Evapotranspiration + surface
runoff + deep percolation + change in soil
water contents
Except evapotranspiration
, 
all the factors in
the above equation are measured.
Evapotranspiration is determined from the
above equation
2
2
.
.
 
 
D
D
e
e
t
t
e
e
r
r
m
m
i
i
n
n
a
a
t
t
i
i
o
o
n
n
 
 
o
o
f
f
 
 
E
E
v
v
a
a
p
p
o
o
t
t
r
r
a
a
n
n
s
s
p
p
i
i
r
r
a
a
t
t
i
i
o
o
n
n
 
 
u
u
s
s
i
i
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n
g
g
e
e
q
q
u
u
a
a
t
t
i
i
o
o
n
n
s
s
 
B
l
a
n
e
y
-
 
C
r
i
d
d
l
e
 
m
e
t
h
o
d
This method is suggested where 
only temperature data
are available.
ETo = C[ P (0.46T+8)] mm/day
Where
ETo= reference crop evapotranspiration in mm/day for
the month considered.
T= mean daily temperature 
in 
o
c over the month
P= mean daily percentage of total annual day time
hours
 obtained from table 1 for a given month and
latitude.
C = adjustment factor 
which depends on minimum relative
humidity, sunshine hours and daytime wind estimates
 
B
B
l
l
a
a
n
n
e
e
y
y
-
-
 
 
C
C
r
r
i
i
d
d
d
d
l
l
e
e
 
 
m
m
e
e
t
t
h
h
o
o
d
d
 
Figure 1 can be used to estimate ETo using
calculated values of 
p(0.46T+8)
 for
 
i) three levels of minimum humidity (RH min)
 
ii) three levels of the ratio of actual to maximum
possible sunshine  hours (n/N) and
 
iii) three ranges of daytime wind conditions at 2m
height (Uday).
B
B
l
l
a
a
n
n
e
e
y
y
-
-
 
 
C
C
r
r
i
i
d
d
d
d
l
l
e
e
 
 
m
m
e
e
t
t
h
h
o
o
d
d
 
Note: Minimum humidity refers to minimum
daytime humidity
wind refers to daytime wind.
Generally Uday/Unight =2 and mean 24 hr
wind data should be multiplied by 1.33 to
obtain mean daytime wind.
After determining ETo, ETcrop can be
predicted using the appropriate crop
coefficient (Kc).
ETcrop= Kc * ETo
simplified form of Blaney- Criddle
simplified form of Blaney- Criddle
 
A more simplified form of Blaney- Criddle
equation in which the potential
evapotranspiration ( consumptive use )
depends only in the mean monthly
temperature and monthly day light hours is
given as :
              
  u = Kf
Where u= monthly consumptive use ,m
K = empirical crop coefficient
F = monthly consumptive use factor
simplified form of Blaney- Criddle
simplified form of Blaney- Criddle
 
The monthly consumptive use factor
 
 
 
Where p is monthly day light hours
expressed as a percentage of the total day
light hours of the year .
I
t
 
d
e
p
e
n
d
s
 
o
n
 
t
h
e
 
l
a
t
i
t
u
d
e
 
o
f
 
t
h
e
 
l
o
c
a
t
i
o
n
.
T
m
 
i
s
 
m
e
a
n
 
m
o
n
t
h
l
y
 
t
e
m
p
e
r
a
t
u
r
e
 
i
n
 
o
C
.
O
b
t
a
i
n
 
v
a
l
u
e
s
 
o
f
 
P
 
f
r
o
m
 
s
t
a
n
d
a
r
d
 
t
a
b
l
e
s
.
 
simplified form of Blaney- Criddle
simplified form of Blaney- Criddle
 
The crop coefficient 
K depends 
on the
location and type of crop 
.
Values varies according to the different stage
of crop growth period.
This method gives good results if the value of
K is selected judiciously after field test.
 
 
Where n= number of months in crop period
 
Blaney- Criddle
Blaney- Criddle
L
i
m
i
t
a
t
i
o
n
:
 
T
h
i
s
 
m
e
t
h
o
d
 
i
s
 
a
n
 
a
p
p
r
o
x
i
m
a
t
e
m
e
t
h
o
d
 
,
 
s
i
n
c
e
 
i
t
 
d
o
e
s
n
t
 
c
o
n
s
i
d
e
r
 
a
n
u
m
b
e
r
 
o
f
 
i
m
p
o
r
t
a
n
t
 
f
a
c
t
o
r
s
 
s
u
c
h
 
a
s
h
u
m
i
d
i
t
y
 
,
 
w
i
n
d
 
v
e
l
o
c
i
t
y
 
a
n
d
 
a
l
t
i
t
u
d
e
 
 
Example on Blaney- Criddle on your lectrure
Example on Blaney- Criddle on your lectrure
Note
Note
Assignment
Assignment
T
T
h
h
o
o
r
r
n
n
t
t
h
h
w
w
a
a
i
i
t
t
e
e
 
 
m
m
e
e
t
t
h
h
o
o
d
d
 
According to the Thornthwaite equation ,
based on the data from the eastern U.S.A ,
the monthly consumptive use or the potential
evapotranspiration is given by
 
 
Where ,
Tm = mean monthly temperature in oC.
I = annual heat index , obtained from monthly
heat index I of the year
 
 
 
 
 
T
T
h
h
o
o
r
r
n
n
t
t
h
h
w
w
a
a
i
i
t
t
e
e
 
 
m
m
e
e
t
t
h
h
o
o
d
d
T
h
e
 
v
a
l
u
e
s
 
o
f
 
t
h
e
 
e
x
p
o
n
e
n
t
s
 
a
 
a
n
d
 
b
 
a
r
e
o
b
t
a
i
n
e
d
 
f
r
o
m
 
t
h
e
 
r
e
l
a
t
i
o
n
 
  +  
 
 
 
T
T
h
h
o
o
r
r
n
n
t
t
h
h
w
w
a
a
i
i
t
t
e
e
 
 
m
m
e
e
t
t
h
h
o
o
d
d
 
Example on Thornthwaite on your lecture
Note
Assignment
H
H
a
a
r
r
g
g
r
r
e
e
a
a
v
v
e
e
s
s
 
 
c
c
l
l
a
a
s
s
s
s
 
 
A
A
 
 
p
p
a
a
n
n
 
 
E
E
v
v
a
a
p
p
o
o
r
r
a
a
t
t
i
i
o
o
n
n
 
ET or CU is related to pan evaporation (EP)
by a constant 
Kc, called consumptive use
coefficient.
ET = Kc * Ep
Determination of Ep
(a.) Experimentally
(b.) Christiansen formula
Ep = 0.459R * Ct*Cw*Ch*Cs*Ce
Ct = Coefficient for temperature
Ct = 0.393 +0.02796Tc +0.0001189 Tc
2
Tc= mean temperature, 
o
c
H
H
a
a
r
r
g
g
r
r
e
e
v
v
e
e
s
s
 
 
m
m
e
e
t
t
h
h
o
o
d
d
 
Cw = Coefficient for wind velocity
Cw= 0.708 + 0.0034 v -  0.0000038 v
2
 v=mean wind velocity at 0.5m above the ground,
km/day.
Ch= Coefficient for relative humidity.
Ch= 1.250 - 0.0087H - 0.75*10-4H
2
 –0.85*10-8H
4
H= mean percentage relative humidity at noon
Cs= Coefficient for percent of possible sunshine
Cs= 0.542+0.008 S-0.78*10-4 S
2
 +0.62*10-6S
3
S= mean sunshine percentage
Ce= Coefficient of elevation
Ce= 0.97+ 0.00984E
E= elevation in 100 of meters
M
M
o
o
d
d
i
i
f
f
i
i
e
e
d
d
 
 
P
P
e
e
n
n
m
m
a
a
n
n
 
 
M
M
e
e
t
t
h
h
o
o
d
d
 
A slightly modified penman equation from the
original (1948) is suggested here to determine
ETo involving a revised wind function term.
The method uses mean daily climatic data,
since day and night time weather conditions
considerably affect level of ET; an adjustment
for this is included.
The 
modified penman equation 
is ,
ETo = c ( W.Rn + (1 – W) * f(u). (ea – ed))
              Radiation      Aerodynamic term
                Term
M
M
o
o
d
d
i
i
f
f
i
i
e
e
d
d
 
 
P
P
e
e
n
n
m
m
a
a
n
n
 
 
M
M
e
e
t
t
h
h
o
o
d
d
 
Where:
ETo = reference crop evapotranspiration ,mm/day
W = temperature – related weighting factor
Rn = net radiation in equivalent evaporation in ,
mm/day
F(u) = Wind – related function
(ea-ed) 
= difference between the saturation vapor
pressure at mean air temp. and the mean actual
vapor pressure of the air in mbar.
C = adjustment factor to compensate for the effect
of day and night weather conditions.
M
M
o
o
d
d
i
i
f
f
i
i
e
e
d
d
 
 
P
P
e
e
n
n
m
m
a
a
n
n
 
 
M
M
e
e
t
t
h
h
o
o
d
d
 
For areas where 
measured data on temperature
,
humidity, wind and sunshine duration or radiation 
are
available, the penman method is suggested.
The penman equation consists of 
two terms
:
- 
the energy (radiation) term and
- 
The aerodynamic (wind and humidity) term.
The relative importance of each term varies with climatic
conditions.
Under calm weather conditions the aerodynamic term is
usually less important than the energy term.
It is more 
important under windy conditions 
and
particularly in the more arid regions.
M
M
o
o
d
d
i
i
f
f
i
i
e
e
d
d
 
 
P
P
e
e
n
n
m
m
a
a
n
n
 
 
M
M
e
e
t
t
h
h
o
o
d
d
 
Due to the interdependence of the variables
composing the equation, the correct use of units in
which variables need to be expressed is important
(see example below).
D
e
s
c
r
i
p
t
i
o
n
 
o
f
 
v
a
r
i
a
b
l
e
s
 
a
n
d
 
t
h
e
i
r
 
M
e
t
h
o
d
 
o
f
c
a
l
c
u
l
a
t
i
o
n
a
.
 
V
a
p
o
r
 
p
r
e
s
s
u
r
e
 
(
e
a
-
e
d
)
Air humidity affects ETo.
Humidity is expressed here as saturation vapor
pressure deficit (ea-ed),
(ea-ed) is the difference between 
mean saturation
water vapor pressure (ea)
 and the 
mean actual
vapor pressure (ed).
M
M
o
o
d
d
i
i
f
f
i
i
e
e
d
d
 
 
P
P
e
e
n
n
m
m
a
a
n
n
 
 
M
M
e
e
t
t
h
h
o
o
d
d
 
Air humidity data are reported as:
- 
Relative humidity (RH max ad RH min in percentage
)
- 
Psychometric readings 
(
T
o
C of dry and wet bulb
) from
wet and dry bulb thermometers, or as a dew point
temperature j (T dew point 
o
C)
Time of measurement is important, but is often not
given.
Fortunately actual vapor pressure (ed) is a fairly
constant element and even one measurement per day
may suffice.
Vapor pressure must be expressed in mbar. If ed is
given in mm Hg multiply by 1.33 to find mbar.
Tables 5 and 6 give values of ea and ed from available
climatic data.
e) Net radiation (Rn).
e) Net radiation (Rn).
 
Net radiation (Rn
) is the 
difference
 between
all 
incoming
 and 
out going radiation
.
It can be measured, but such data are rarely
available.
Rn can be calculated from solar radiation or
sunshine hours (or degree of cloud cover),
temperature and humidity data.
The amount of 
radiation received at the top
 of
the atmosphere (Ra) is dependent on
- 
latitude 
and
- 
time of the year
 (Table 10).
e) Net radiation (Rn).
e) Net radiation (Rn).
 
Part of 
Ra is absorbed and scattered
 when
passing through the atmosphere the
remainder, including some that is scattered
but reaches the earth’s surface is called the
solar radiation (Rs).
 
Rs is dependent on Ra 
and the transmission
through the atmosphere that is 
dependent on
cloud cover.
e) Net radiation (Rn).
e) Net radiation (Rn).
 
Part of Rs is reflected back directly by the soil
and crop and is lost to the atmosphere.
Reflection (
α
) depends
 on the nature of the
surface cover
 and is 
approximately 5 to 7%
for water 
and around 
15 to 25% for most
crops.
(i.e. it depends on crop cover and wetness of
the exposed soil surface).
 
That, which remains is 
net short-wave solar
radiation (Rns).
e) Net radiation (Rn).
e) Net radiation (Rn).
 
Additional loss at the earth’s surface occurs
since the 
earth radiates part of its absorbed
energy
 back 
through the atmosphere
 as 
long
wave radiation.
 
This is normally greater than the down
coming long wave atmospheric radiation.
e) Net radiation (Rn).
e) Net radiation (Rn).
 
The difference 
between out going
 and 
in coming
long wave radiation
 is called 
net long wave
radiation (R
n
 ℓ  ).
 
Since outgoing is greater than incoming, Rn 
represents net energy loss.
Total net radiation (R
n
 ) = R
ns
 – R
n
ɭ 
.
Radiation can be expressed in different units.
It can be given as the energy required to evaporate
water from an open surface and is given here as
equivalent evaporation in mm/day.
e) Net radiation (Rn).
e) Net radiation (Rn).
 
To calculate Rn the steps are
i) If measured Rn is not available, select Ra value in
mm/day from Table 10 for given month and latitude.
ii) To obtain Rs , correct Ra value for n/N
iii) For most crops 
α
 = 0.25 Table 12 can be used to
calculate Ras from the ratio n/N and 
α 
 = 0.25.
iv) Not long wave radiation (R
n
ɘ) can be determined
from T, ed and n/N. Values for the function f (T),
f(ed) and f(n/N) are given in Tables 13, 14, and 15
respectively.
v) To obtain total net radiation (Rn), the algebraic
sum of Rns and Rnl is calculated.
Rnl always constitutes a net loss so Rn = Rns - Rnl.
f) Adjustment factor (C)
f) Adjustment factor (C)
 
The Penman equation given 
assumes
 the most
common conditions where
- 
radiation is medium to high
- 
RH max is medium to high
- Moderate daytime wind about double the night time
wined.
However, these conditions are not always met.
 
For other conditions the penman equation should
be corrected (Table 16 for values of C depending
on RHmax , Rs , U day and U day / U night )
 
Example on modified penman and Radiation
on your lecture Note
Assignment
 
I
I
r
r
r
r
i
i
g
g
a
a
t
t
i
i
o
o
n
n
 
 
E
E
f
f
f
f
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i
c
c
i
i
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e
n
n
c
c
i
i
e
e
s
s
 
i
)
 
W
a
t
e
r
 
s
t
o
r
a
g
e
 
e
f
f
i
c
i
e
n
c
y
 
is the 
amount of water actually stored
 in the
subject area expressed as a percentage of
the 
volume of water that can be stored.
 
The general form of the Es equation is given
as follows.
 
 
 
 
 
 
 
Where Z = amount infiltrated (m
3
 . m
-1
 )
L = channel length (m)
Lov = length of that part of the channel that received
an amount of 
water equal to or in excess of the
perceived requirements (m)
Zr = required amount of application 
(perceived
requirements ) (m
3
 . m
-1
 )
 
 
 
i
i
i
i
-
-
 
 
W
W
a
a
t
t
e
e
r
r
 
 
D
D
i
i
s
s
t
t
r
r
i
i
b
b
u
u
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t
i
i
o
o
n
n
 
 
E
E
f
f
f
f
i
i
c
c
i
i
e
e
n
n
c
c
y
y
 
 
(
(
E
E
d
d
)
)
 
This shows 
how uniformly water is applied to
the field along the irrigation run.
In 
sandy soils 
there is generally
 over irrigation
at upper reaches of the run
 where as in
clayey soils, 
there is 
over- irrigation at the
lower reaches 
of the run.
 
Where Ed = water distribution efficiency
d = average depth of water penetration.
y = average deviation from d.
i
i
i
i
i
i
-
-
 
 
F
F
i
i
e
e
l
l
d
d
 
 
C
C
a
a
n
n
a
a
l
l
 
 
E
E
f
f
f
f
i
i
c
c
i
i
e
e
n
n
c
c
y
y
 
 
(
(
E
E
f
f
)
)
 
This is a measure of the efficiency with which
the water is conveyed through 
the field
channels until it feeds the plots
 
Where,
 Ef = Field canal efficiency
Wp = water delivered to the plot at the head of
furrows  and strips
Wf = water delivered to the field channel
i
i
v
v
-
-
 
 
W
W
a
a
t
t
e
e
r
r
 
 
U
U
s
s
e
e
 
 
E
E
f
f
f
f
i
i
c
c
i
i
e
e
n
n
c
c
y
y
 
This shows the 
yield of the crop per unit
volume of water used.
It may be expressed in 
Kg/ha.cm or q/ha.cm
A
.
 
C
r
o
p
 
W
a
t
e
r
 
U
s
e
 
E
f
f
i
c
i
e
n
c
y
:
 
i
s
 
t
h
e
 
r
a
t
i
o
o
f
 
t
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c
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o
p
 
y
i
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l
d
 
(
Y
)
 
t
o
 
t
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a
m
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t
 
o
f
 
w
a
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c
o
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m
p
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v
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y
 
u
s
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d
 
b
y
 
t
h
e
 
c
r
o
p
.
 
B
.
 
F
i
e
l
d
 
W
a
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U
s
e
 
E
f
f
i
c
i
e
n
c
y
:
 
i
s
 
t
h
e
 
r
a
t
i
o
 
o
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t
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c
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o
p
 
y
i
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l
d
 
(
y
)
 
t
o
 
t
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e
 
t
o
t
a
l
 
w
a
t
e
r
 
r
e
q
u
i
r
e
m
e
n
t
 
o
f
c
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o
p
s
 
i
n
c
l
u
d
i
n
g
 
C
u
 
l
o
s
s
e
s
 
a
n
d
 
o
t
h
e
r
 
n
e
e
d
s
.
 
v
v
-
-
 
 
P
P
r
r
o
o
j
j
e
e
c
c
t
t
 
 
E
E
f
f
f
f
i
i
c
c
i
i
e
e
n
n
c
c
y
y
 
 
(
(
E
E
p
p
)
)
 
This shows how efficiently the water source
used in crop production.
It shows the percentage of the total water that
is stored in the soil and available for
consumptive requirements of the crop.
It 
indicates the overall efficiency
 of the
systems
 from the 
head work to the final use
by plants for Cu.
It is given as
Ep = Ec * Eb * Ea
I
I
R
R
R
R
I
I
G
G
A
A
T
T
I
I
O
O
N
N
 
 
S
S
C
C
H
H
E
E
D
D
U
U
L
L
I
I
N
N
G
G
 
Scheduling of irrigation application is very important
for successive plant growth and maturity.
Water is not applied randomly at any time and in any
quantity.
Irrigation scheduling is the schedule in which water is
applied to the field.
If in an important aspect of an efficient operation of an
irrigation system.
The scheduling of irrigation can be field irrigation
scheduling and field irrigation supply schedules.
Field irrigation Scheduling is done at field level.
The 
two scheduling parameters
 of field irrigation
scheduling are the 
depth of irrigation
 and 
interval of
irrigation.
1
1
.
.
 
 
D
D
e
e
p
p
t
t
h
h
 
 
o
o
f
f
 
 
i
i
r
r
r
r
i
i
g
g
a
a
t
t
i
i
o
o
n
n
 
 
(
(
d
d
)
)
 
This is the 
depth of irrigation water that is to be
applied at one irrigation.
It is the depth of water that can be retained in the
crop root zone b/n the field capacity and the given
depletion of the available moisture content.
All the water retained in the soil b/n 
FC and PWP
 is
not readily available to crops.
The 
readily available moisture is only some
percentage of the total available moisture.
Thus, depth of irrigation is the readily available
portion of the soil moisture.
it is the 
depth of irrigation water required to
replenish the soil moisture to field capacity.
 
 
D
e
p
t
h
 
o
f
 
i
r
r
i
g
a
t
i
o
n
 
(
d
)
 
i
s
 
g
i
v
e
n
 
b
y
d(net) = As * D (FC – PWP) * P , m
As = Apparent specific gravity of soil
D = Effective root zone depth in m
FC = water content of soil at F.C
PWP = Water content of soil at PWP
P = depletion factor
Because of 
application losses
 such as
 deep percolation
and 
runoff losses
, the total depth of water to be applied
will be greater than the net depth of water.
G
r
o
s
s
 
d
e
p
t
h
 
o
f
 
a
p
p
l
i
c
a
t
i
o
n
 
Where Ea = Field application efficiency and other parameters
as defined above
2
2
.
.
 
 
I
I
n
n
t
t
e
e
r
r
v
v
a
a
l
l
 
 
o
o
f
f
 
 
I
I
r
r
r
r
i
i
g
g
a
a
t
t
i
i
o
o
n
n
 
 
(
(
i
i
)
)
 
The 
interval of irrigation
 is the 
time gap in
days b/n two successive irrigation
applications.
It depends on the type of the crop, soil type
and climate conditions.
Thus interval of irrigation depends on the
consumptive use rate of the crop and the
amount of readily available moisture in the
crop root zone.
The consumptive use rate of the crop varies
from crop to crop and also
 
 
during different stages of the crop.
The RAM moisture also varies from soil to soil
depending on soil water constants.
The interval (frequency) of irrigation is given by :
 
Where,
 ETcrop(peak) is the peak rate of crop evapotranspiration
in m/day.
For the same crop and soil science the ETcrop (peak)
goes on increasing from the initial stage to the
development and mid season stage the interval of
irrigation will go on decreasing and increasing during
rate season stage.
F
F
i
i
e
e
l
l
d
d
 
 
I
I
r
r
r
r
i
i
g
g
a
a
t
t
i
i
o
o
n
n
 
 
S
S
u
u
p
p
p
p
l
l
y
y
 
 
S
S
c
c
h
h
e
e
d
d
u
u
l
l
e
e
s
s
 
 
(
(
I
I
r
r
r
r
i
i
g
g
a
a
t
t
i
i
o
o
n
n
S
S
c
c
h
h
e
e
d
d
u
u
l
l
i
i
n
n
g
g
 
 
i
i
n
n
 
 
a
a
 
 
C
C
o
o
m
m
m
m
a
a
n
n
d
d
 
 
A
A
r
r
e
e
a
a
)
)
 
This is the 
schedule of water supply to
individual fields or command area.
 
is a schedule of the total volume of water to
be applied to the soil during irrigation.
 
It depends on crop and soil characteristics.
It is expressed as: -
 
 
 
 
 
 
Where q= Stream size (application rate ) lit/sec
t = Application time in sec
Ea = Application efficiency
As = Apparent specific gravity
D = Effective root zone depth ,m
P = Depletion factor
A = Area of the command (field) in ha
 
 
 
 
From the above equation, if either of the
application time or the stream size fixed, one
of them can be determined.
 
In the above equation 
q.t indicates the total
volume of water applied to the field
 during
irrigation at the head of the field.
 
But the total volume of water diverted at the
headwork will obviously be greater than this
value, because there is loss of water during
conveyance and distribution canals.
Total volume of water diverted at the headwork
Total volume of water diverted at the headwork
 
The total volume of water to be diverted is
given by :
 
Where Q = flow rate at the head work,
let/sec.
Ep = project efficiency and others as
defined above.
 
 
BASICS  IN IRRIGATION ENGINEERING
2.1. Planning Irrigation
systems
2.2. soil-plant-water relation 
over view
2.3. Crop water requirement
2.4. Base, delta and duty
CHAPTER II
CHAPTER II
D
D
u
u
t
t
y
y
 
 
 
 
D
D
e
e
l
l
t
t
a
a
 
 
r
r
e
e
l
l
a
a
t
t
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i
o
o
n
n
s
s
h
h
i
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p
p
 
D
u
t
y
 
o
f
 
w
a
t
e
r
:
 
i
s
 
i
t
s
 
c
a
p
a
c
i
t
y
 
t
o
 
i
r
r
i
g
a
t
e
 
l
a
n
d
.
 
I
t
 
i
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t
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r
e
l
a
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b
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t
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a
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o
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t
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l
a
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a
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t
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q
u
a
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t
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o
f
 
w
a
t
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r
 
r
e
q
u
i
r
e
d
.
 
T
h
u
s
 
D
u
t
y
 
(
 
D
 
)
 
i
s
 
d
e
f
i
n
e
d
 
a
s
 
t
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a
r
e
a
 
o
f
 
t
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l
a
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w
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c
a
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b
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i
r
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i
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o
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c
u
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e
c
 
(
m
3
/
s
e
c
)
 
o
f
w
a
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e
r
 
w
a
s
 
a
p
p
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t
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t
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l
a
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c
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f
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e
 
b
a
s
e
 
p
e
r
i
o
d
 
o
f
 
t
h
e
 
c
r
o
p
.
 
- It is 
expressed in hectares / cumecs.
D
D
u
u
t
t
y
y
 
 
 
 
D
D
e
e
l
l
t
t
a
a
 
 
r
r
e
e
l
l
a
a
t
t
i
i
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s
s
h
h
i
i
p
p
B
a
s
e
 
p
e
r
i
o
d
 
(
B
)
:
 
t
h
e
 
b
a
s
e
 
p
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r
i
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d
 
i
s
 
t
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b
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t
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f
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w
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a
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t
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a
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t
 
w
a
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.
T
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b
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p
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.
D
D
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y
y
 
 
 
 
D
D
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l
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a
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r
r
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a
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s
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h
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p
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(
)
:
 
i
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d
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w
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b
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.
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(
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m
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b
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The 
relation between duty, base period 
and
delta,
 can be obtained as follows.
 
Considering the area of land of D-hectares.
If Duty is expressed in ha/cumecs 
the 
total
quantity of water used in the base period of B
days
 is 
equal to that obtained by a continuous
flow of 1 cumec for B days.
 
 
 
 
 
 
 
 If Delta ( ) is the total depth of water in meters supplied to
the land of D- hectares, the quantity of water is also given by:
m
3
 Equating the volumes of water given in two egns.
 Where,
   D = in ha/cumec
   
   = in m
    B = in days
F
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Duty of water depends up on different factors.
In general, 
the smaller the losses, the greater is duty
because one cumec of water will be able to irrigate
larger area.
Type of soil
Type of crop and base period
structure of soil
Slope of ground
Climatic condition
Method of application of water
Salt content of soil
Duty of water may be improved by counter – acting all
the factors that decrease it (by decreasing various
losses).
 
Example on Efficiency, depth and irrigation
interval and Duty on your lecture Note
Assignment
 
Assignment –I will be given
 
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Understanding crop water requirements is crucial in planning effective irrigation systems. Crop water requirements are determined by factors such as evapotranspiration, soil conditions, and achieving maximum production potential. Effective rainfall, soil moisture storage, and groundwater contributions also play a role in fulfilling crop water needs. Irrigation requirement of crops is the portion of water requirement that should be met by irrigation, excluding other sources like rainfall and soil moisture. Effective rainfall is key in providing water that can be utilized by crops, distinguishing it from total rainfall.

  • Crop Water Requirements
  • Irrigation Engineering
  • Effective Rainfall
  • Evapotranspiration
  • Soil Conditions

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  1. CHAPTER II BASICS IN IRRIGATION ENGINEERING 2.1. Planning Irrigation systems 2.2. soil-plant-water relation over view 2.3. Crop water requirement 2.4. Base, delta and duty

  2. 2.3. CROP WATER REQUIREMENTS It is defined as the depth of water needed to meet the water loss through evapotranspiration (ETcrop) of a disease free crop growing in large fields under non-restricting soil conditions including soil water and fertility and achieving full production potential under the given growing environment . It is the quantity of water required by the crop in a given period of time to meet its normal growth under a given set of environmental & field conditions.

  3. CROP WATER REQUIREMENTS cont.. The determination of water requirements is the main part of the design and planning of an irrigation system. The water requirement is the water required to meet the water losses through Evapotranspiration (ET) Unavoidable application losses Other needs such as leaving & land preparation

  4. CROP WATER REQUIREMENTS cont.. The water requirement of crops may be contributed from different sources such as irrigation, Effective rainfall, Soil moisture storage and ground water contributions. Hence, WR = IR + ER + S + GW Where, IR = Irrigation requirement ER = Effective rainfall S = carry over soil moisture in the crop root zone GW = ground water contribution

  5. Irrigation requirement of Crops Irrigation water requirement of crops is defined as the part of water requirement of crops that should be fulfilled by irrigation In other words, it is the water requirement of crops excluding effective rain fall, carry over soil moisture and ground water contributions. WR=IR +ER + S +GW IR= WR-(ER+S+GW)

  6. Effective Rainfall (ER) Effective rainfall can be defined as the rainfall that is stored in the root zone and can be utilized by crops. All the rainfall that falls is not useful or effective. As the total amount of rainfall varies, so does the amount of useful or effective rainfall. Some of the seasonal rainfall that falls will be lost as unnecessary deep percolation; surface runoff and some water may remain in the soil after the crop is harvested. From the water requirement of crops point of view, this water, which is lost, is ineffective.

  7. Effective Rainfall (ER) cont People in different disciplines define effective rainfall in different ways. To a canal irrigation engineer, it is the rainfall that reaches the storage reservoir, to a hydropower engineer, it is the rain fall that is useful for running the turbines and for Ground water engineers or Geo hydrologists, it is that portion of the rainfall that contributes to the ground water reservoir

  8. Effective Rainfall (ER) cont CropWat 4 Windows has four methods for calculating the effective rainfall from entered monthly total rainfall data. Fixed Percentage Effective Rainfall The effective rainfall is taken as a fixed percentage of the monthly rainfall; Effective Rainfall = % of Total Rainfall

  9. Dependable Rain empirical formula FAO/AGLW based on analysis for different arid and sub-humid climates. An developed by Effective Rainfall = 0.6 * Total Rainfall - 10 ... (Total Rainfall < 70 mm) Effective Rainfall = 0.8 * Total Rainfall - 24 ... (Total Rainfall > 70 mm)

  10. Empirical Formula for Effective Rainfall This formula is similar to FAO/AGLW formula (see Dependable Rain method above) with some parameters left to the user to define. Effective Rainfall = a * Total Rainfall - b ... (Total Rainfall < z mm) Effective Rainfall = c * Total Rainfall - d ... (Total Rainfall > z mm) where a, b, c, and z are the variables to be defined by the user.

  11. Method of USDA Soil Conservation Service (default) The effective rainfall is calculated according to the formula developed by the USDA Soil Conservation Service: Effective Rainfall = Total Rainfall / 125 * (125 - 0.2 * Total Rainfall) (Total Rainfall < 250 mm) Effective Rainfall = 125 + 0.1 * Total Rainfall .. (Total Rainfall > 250 mm)

  12. Ground water contribution (Gw): Some times there is a contribution from the groundwater reservoir for water requirement of crops. The actual contribution from the groundwater table is dependent on the depth of ground water table below the root zone & capillary characteristics of soil. For clayey soils the rate of movement is low and distance of upward movement is high while for light textured soils the rate is high and the distance of movement is low. For practical purposes the GW contribution when the ground water table is below 3m is assumed to be nil.

  13. Carry over soil moisture(S): This is the moisture retained in the crop root zone b/n cropping seasons or before the crop is planted. The source of this moisture is either from the rainfall that man occurs before sowing or it may be the moisture that remained in the soil from past irrigation. This moisture also contributes to the consumptive use of water and should be deducted from the water requirement of crops in determining irrigation requirements.

  14. Net Irrigation Requirement (NIR) After the exact evapotranspiration of crops have been determined the NIR should be determined. This is the net amount of water applied to the crop by irrigation exclusive of ER, S and GW. NIR = WR ER S GW The word net is to imply that during irrigation there are always unavoidable losses as runoff and deep percolation. NIR is determined during different stages of the crop by dividing the whole growing season into suitable intervals. The growing season is more preferably divided into decades. The ETcrop during each decade is determined by subtracting these contributions from the ETcrop.

  15. Gross irrigation requirement (GIR) Usually more amount of water than the NIR is applied during irrigation to compensate for the unavoidable losses. The total water applied to satisfy ET and losses is known as Gross irrigation requirement (GIR) GIR =NIR Ea Where Ea =application efficiency

  16. Evapotranspiration: This includes the water lose through evaporation and transpiration. a) Evaporation: - is the process by which a liquid changes into water vapor, which is water evaporating from adjacent soil, water surfaces of leaves of plants. In irrigation this is applied for the loss of water from the land surface.

  17. Transpiration: Transpiration: - is the process by which plants loose water from their bodies. This loss of water includes the quantity of water transpired by the plant and that retained in the plant tissue. That is, the water entering plant roots and used to build plant tissue or being passed through leaves of the plant into the atmosphere.

  18. Potential Evapotranspiration (PET): - This is also called evapotranspiration reference crop it is the rate of evapotranspiration from an extensive surface 8 to 15 cm tall, green grass cover of uniform height, actively growing, completely shading the ground and not short of water . Under normal field conditions, the potential evapotranspiration does not occur and thus suitable crop coefficients are used to change ETo to actual evapotranspiration of the crops.

  19. Consumptive use (CU) of water and methods of estimation Consumptive use (CU) is synonymous to evapotranspiration (ETcrop). Consumptive use:- is the depth (quantity) of water required by the crop to meet its evapotranspiration losses and the water used for metabolic processes. But the water used processes is very small & accounts only less than 1 % of evapotranspiration. for metabolic

  20. Consumptive use (CU) cont Hence the consumptive use is taken to be the same as the loss evapotranspiration. Note: CU= ET + water used by the plants in their metabolic process for (insignificant) It involves: Problems of water supply Problems of water management Economics of irrigation projects CU use can apply to water requirements of a crop, a farm, a field and a project. However, when the CU of the crop is known, the water use of larger units can be calculated. of water through building plant tissues

  21. Calculation of crop water requirement Prediction methods for crop water requirements are used owing to the difficulty of obtaining accurate field measurements. The methods often need to be applied under climatic and agronomic conditions vary different from those under which they were originally developed. To calculate ETcrop a three-stage procedure is recommended

  22. 1. The effect of climate given by the reference crop evapotranspiration (ETo). The methods to calculate ETo presented here in are the Blaney-Criddle method, Thornthwaite method, the Hargeaves class A evaporation method and the penman method. These methods are modified to calculate ETo using the mean daily climatic data for 30 or 10 days periods. The choice of the method must be based on: the type of climatic data available and on the accuracy required in determining water needs.

  23. 2. The effect of crop characteristics. This is given by the crop coefficient (Kc) which presents the relationship between ETo and ETcrop. ETcrop= Kc . ETo Values of Kc vary with the - type of crop - its stage of growth - growing season and - the prevailing weather conditions

  24. 3. Effect of local conditions and agricultural practices This includes: - the variation in climate over time - size of field - distance and altitude - soil water availability - Irrigation and cultivation methods and practices.

  25. Factors Affecting Consumptive Use of Water: - The consumptive use of water is not constant throughout the stages of the crop and also varies for different types of crops. Generally the factors affecting consumptive use of water can be classified as climatic factors. crop factors

  26. A. Climatic factors Temperature: As the temperature increases, the saturation vapor pressure also increases and results in increase of evaporation and thus consumptive use of water. Wind Speed: The more the speed of wind, the more will be the rate of evaporation, because the saturated film of air containing the water will be removed easily. Humidity: - The more the air humidity, the less will be the rate of consumptive use of water. This is because water vapor moves from the point of high moisture content to the point of low moisture content. So if the humidity is high water vapor cannot be removed easily. Sunshine hours: - The longer the duration of the sunshine hour the larger will be the total amount of energy received from the sun. This increases the rate of evaporation and thus the rate of consumptive use of crops.

  27. B. Crop factors The agronomic feature of the crops is variable, some crops completely shade the ground while others shade only some part of the ground. To account these variations in the nature of the crop suitable values of crop coefficient are used to convert the PET to actual evapotranspiration. So for the same climatic conditions different crops have different rates of consumptive uses

  28. Determination of Consumptive Use of water Under normal field conditions PET (ETo) will not occur and thus consumptive use (ETcrop) can be determined by determining the ETo and multiplying with suitable crop coefficients (Kc). Alternatively it can be determined by direct measurements of soil moisture.

  29. 1. Direct Measurement of Consumptive Use: A) Lysimeter experiment B) Field experimental plots C) Soil moisture studies D) Water balance method

  30. a. Lysimeter Experiment Lysimeters are large containers having pervious bottom. This experiment involves growing crops in lysimeters there by measuring the water added to it and the water loss (water draining) through the pervious bottom. Consumptive use subtracting the water draining through the bottom from the total amount of water needed to maintain proper growth. ETc = IR + Eff.P +or soil moisture- Drainage is determined by

  31. b. Field Experimental Plots This is most suitable for determination of seasonal water requirements. Water is added to selected field plots, yield obtained from different fields are plotted against the total amount of water used. The yield increases as the water used increases for some limit and then decreases with further increase in water. Production function The break in the curve indicates the amount of consumptive use of water.

  32. C. Soil Moisture Studies: In this method soil moisture measurements are done before and after each irrigation application. Knowing the time consecutive irrigations, the quantity of water extracted per day can be computed by dividing the total moisture depletion b/n the two successive irrigations by the interval of irrigation. Then a curve is drawn by plotting the rate of use of water against the time from this curve, seasonal water use of crops is determined gap b/n the two

  33. d. Water balance method This method is used for determination of consumptive use of large areas. It is expressed by the following equation. Precipitation = Evapotranspiration + surface runoff + deep percolation + change in soil water contents Except evapotranspiration, all the factors in the above equation are measured. Evapotranspiration is determined from the above equation

  34. 2. Determination of Evapotranspiration using equations Blaney- Criddle method This method is suggested where only temperature data are available. ETo = C[ P (0.46T+8)] mm/day Where ETo= reference crop evapotranspiration in mm/day for the month considered. T= mean daily temperature in oc over the month P= mean daily percentage of total annual day time hours obtained from table 1 for a given month and latitude. C = adjustment factor which depends on minimum relative humidity, sunshine hours and daytime wind estimates

  35. Blaney- Criddle method Figure 1 can be used to estimate ETo using calculated values of p(0.46T+8) for i) three levels of minimum humidity (RH min) ii) three levels of the ratio of actual to maximum possible sunshine hours (n/N) and iii) three ranges of daytime wind conditions at 2m height (Uday).

  36. Blaney- Criddle method Note: Minimum humidity refers to minimum daytime humidity wind refers to daytime wind. Generally Uday/Unight =2 and mean 24 hr wind data should be multiplied by 1.33 to obtain mean daytime wind. After determining ETo, ETcrop can be predicted using the coefficient (Kc). ETcrop= Kc * ETo appropriate crop

  37. simplified form of Blaney- Criddle A more simplified form of Blaney- Criddle equation in which evapotranspiration ( consumptive use ) depends only in temperature and monthly day light hours is given as : u = Kf Where u= monthly consumptive use ,m K = empirical crop coefficient F = monthly consumptive use factor the potential the mean monthly

  38. simplified form of Blaney- Criddle The monthly consumptive use factor Where p is monthly day light hours expressed as a percentage of the total day light hours of the year . It depends on the latitude of the location. Tm is mean monthly temperature in oC. Obtain values of P from standard tables.

  39. simplified form of Blaney- Criddle The crop coefficient K depends on the location and type of crop . Values varies according to the different stage of crop growth period. This method gives good results if the value of K is selected judiciously after field test. Where n= number of months in crop period

  40. Blaney- Criddle Limitation: This method is an approximate method , since it doesn t consider a number of important factors such as humidity , wind velocity and altitude

  41. Example on Blaney- Criddle on your lectrure Note Assignment

  42. Thornthwaite method According to the Thornthwaite equation , based on the data from the eastern U.S.A , the monthly consumptive use or the potential evapotranspiration is given by Where , Tm = mean monthly temperature in oC. I = annual heat index , obtained from monthly heat index I of the year

  43. Thornthwaite method + The values of the exponents a and b are obtained from the relation

  44. Thornthwaite method Example on Thornthwaite on your lecture Note Assignment

  45. Hargreaves class A pan Evaporation ET or CU is related to pan evaporation (EP) by a constant Kc, called consumptive use coefficient. ET = Kc * Ep Determination of Ep (a.) Experimentally (b.) Christiansen formula Ep = 0.459R * Ct*Cw*Ch*Cs*Ce Ct = Coefficient for temperature Ct = 0.393 +0.02796Tc +0.0001189 Tc2 Tc= mean temperature, oc

  46. Hargreves method Cw = Coefficient for wind velocity Cw= 0.708 + 0.0034 v - 0.0000038 v2 v=mean wind velocity at 0.5m above the ground, km/day. Ch= Coefficient for relative humidity. Ch= 1.250 - 0.0087H - 0.75*10-4H2 0.85*10-8H4 H= mean percentage relative humidity at noon Cs= Coefficient for percent of possible sunshine Cs= 0.542+0.008 S-0.78*10-4 S2 +0.62*10-6S3 S= mean sunshine percentage Ce= Coefficient of elevation Ce= 0.97+ 0.00984E E= elevation in 100 of meters

  47. Modified Penman Method A slightly modified penman equation from the original (1948) is suggested here to determine ETo involving a revised wind function term. The method uses mean daily climatic data, since day and night time weather conditions considerably affect level of ET; an adjustment for this is included. The modified penman equation is , ETo = c ( W.Rn + (1 W) * f(u). (ea ed)) Radiation Aerodynamic term Term

  48. Modified Penman Method Where: ETo = reference crop evapotranspiration ,mm/day W = temperature related weighting factor Rn = net radiation in equivalent evaporation in , mm/day F(u) = Wind related function (ea-ed) = difference between the saturation vapor pressure at mean air temp. and the mean actual vapor pressure of the air in mbar. C = adjustment factor to compensate for the effect of day and night weather conditions.

  49. Modified Penman Method For areas where measured data on temperature, humidity, wind and sunshine duration or radiation are available, the penman method is suggested. The penman equation consists of two terms: - the energy (radiation) term and - The aerodynamic (wind and humidity) term. The relative importance of each term varies with climatic conditions. Under calm weather conditions the aerodynamic term is usually less important than the energy term. It is more important under windy conditions and particularly in the more arid regions.

  50. Modified Penman Method Due to the interdependence of the variables composing the equation, the correct use of units in which variables need to be expressed is important (see example below). Description of variables and their Method of calculation a. Vapor pressure (ea-ed) Air humidity affects ETo. Humidity is expressed here as saturation vapor pressure deficit (ea-ed), (ea-ed) is the difference between mean saturation water vapor pressure (ea) and the mean actual vapor pressure (ed).

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