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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 09 Issue: 02 | Feb 2022 www.irjet.net p-ISSN: 2395-0072
© 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 451
Estimation of Average Rainfall Depth using “SSV’s Depth Leveling
Method”
Suraj Sukhadev Vankamble1, Maheshkumar D. Inamdar2
1Assistant Professor, Civil Engineering Department, SBGI Miraj.
2Lab Assistant, Civil Engineering Department, SBGI Miraj.
---------------------------------------------------------------------***----------------------------------------------------------------------
Abstract – Rainfall is the main source of water and used
for various purposes. A knowledge of the amount of
rainfall and the distribution of rainfall is extremely useful
for irrigation engineers and all other involved in the
development of water resources. The amount of rainfall is
expressed as the depth of water in centimeters which
would accumulate on a level surface if the rainfall were
retained where it fell.
The rainfall recorded by a rain gauge represents the
rainfall at that station. It is also called the point rainfall. In
many hydrological studies, the average depth of rainfall
over a specified area due to storm, or due to number of
storm, is required. For determination of average
precipitation over an area, a large number of rain gauges
are installed. The average rainfall over an area is found
from number of methods such as Arithmetic mean
method, Thiessen polygon method and isohyetal map
method. In this study by using “SSV’s Depth Leveling
Method” the average rainfall depth is find out. The
resulting depths are found by combination of rain gauge as
well as ranging rod readings.
Key Words: Average rainfall Depth, rain gauge station,
ranging rod, specified area.
1.Introduction :
The Average rainfall depth is necessary to maintain the
record of rainfall amount of that particular area. The rain
gauge are implant in specific area on the basis of terrain
properties and the average rainfall. There are various
methods used in the field to calculate the average rainfall
depth such as Arithmetic mean method, Thiessen polygon
method and Isohyetal method.
If the country is flat and the gauges are uniformly
distributed over the area, the rainfall of the, the rainfall of
the indivisual station does not show much variation from
the mean precipitation of the area. In the arithmetic mean
method, the average depth of rainfall over an area is taken
as the arithmetic mean of the rainfall depths of all stations.
It is obtained by the dividing the sum of the depths of
rainfall recorded at all rain gauge stations by the number
of stations.
P = P1 + P2 +….+ Pn
N
Here, P1, P2 … Pn are the depth of rainfall recorded at the
rain gauge 1,2,….n.
In the Thiessen polygon method, the rainfall recorded
at each rain gauge station is given weightage on the basis
of the area which it represent. This method is better than
the arithmetic mean method which gives equal weightage
to all stations. The average precipitation of the area is
given by :
P = P1A1 + P2A2 + ……..+ PnAn
A1 + A2 + ….An
Here A1, A2, …An are the area of the Thiessen Polygon
representing the station 1,2, …. , n and P1, P2, … Pn are the
corresponding precipitation and A is the total area.
Isohyets are the contours of equal rainfall depth. For
plotting of an isohyetal map, rain gauge stations are
marked on the plan of the catchment. The rainfall
recorded at these stations is also marked on the plan of
the catchment. The rainfall recorded at these station is
also marked on the plan. The rain gauge stations located
outside the catchment but in its neighborhood are also
marked. The isohyets of various rainfall depth are then
drawn by interpolating the values of the rainfall.
In this study we use the SSV’s Depth Leveling method
to found the average rainfall depth by using rain gauge
station and ranging rods.
2. SSV’s Depth Levelling Method :
In this method the terrain with ups and downs are
allowable. The procedure required to complete the results
using this method is are as follows:
a) The total area for which rainfall depth is
measured is going to be distributed into equal
area having name as A1, A2 …. And so on.
b) The positions of the rain gauge stations are
marked on the plan of the catchment area over
which the average rainfall depth is required.
c) The care should be taken that the rain gauge
station should be at center position of the each
equally separated area. As shown in figure.1 :
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 09 Issue: 02 | Feb 2022 www.irjet.net p-ISSN: 2395-0072
© 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 452
Fig.1 Catchment area divided into equal area.
Here a1, a2, and ..an are the area of divided parts of
catchment area.
d) The sub divisions which are equally distributes by
area wise are set up with the rain gauge stations
placed centrally of that sub division. Then the
ranging rods are placed on the four corners of the
sub divided area around the rain gauge station.
e) There is lots of chances of presence of uneven
terrain in the divided area. So there is chances of
incorrect rainfall data collection. So to avoid this
the ranging rods are setup to take the RL of that
position and match with rain gauge stations
position RL.
f) The care should be taken that the ranging rod
should be on equal distance from the central rain
gauge station.
g) After the complete set up the readings should be
taken. The rainfall depth at all rain gauge station
and the respective ranging rods are taken into
observation table and the calculation should be
done to obtain the average rainfall depth by using
formula as discussed further.
3. Average Rainfall Depth Formula:
The average Precipitation of the area is
calculated by taking the all the rainfall depth at the rain
gauge station of that area and the respective ranging rod
of that sub divide area, as given in below figure. 2:
Fig.2 SSV’s Depth Leveling Method.
The average precipitation of the area is given by using
the formula :
d = A1 ( (d11 + d12 + D1 + d13 + d14 ) / nd )
+ A2 ( (d21 + d22 + D2 + d23 + d24 ) / nd )
+ …… + An ( dn / nd ) .
_______________________________________
A1 + A2 + A3 + A4 + A5 + A6 + An.
Here,
D = Water level depth at raingauge
station.
d = depth of ranging rod in
comparison with water level at
raingauge station.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 09 Issue: 02 | Feb 2022 www.irjet.net p-ISSN: 2395-0072
© 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 453
A = area of the selected region.
4. Observations :
Table no. 1 given below shows the value of water depth
in cm observed at rain gauge station and ranging rod
present at divided area.
Table.1 Depth of water level observation.
Sr. No. Area
(A)
Rain
gauge
Rainfall
Depth (D)
Ranging
Rod
Rainfall
Depth (d)
1. A1= 2
square
km
15 cm 16 cm
18 cm
D-15 cm
15.5 cm
16.5 cm
2. A2 = 2.52
square
km
18 cm 17 cm
17.5 cm
D-18 cm
19 cm
14 cm
3. A3 = 1.98
square
km
21 cm 19 cm
21 cm
D-21 cm
20 cm
21 cm
4. A4 =
2.225
square
km
13 cm 11 cm
13 cm
D-13 cm
15 cm
16 cm
5. A5 =
1.985
square
km
20 cm 22 cm
28 cm
D-20 cm
15 cm
18 cm
o Average Depth of rainfall in 24 hours =
d = A1 ( (d11 + d12 + D1 + d13 + d14 ) / nd )
+ A2 ( (d21 + d22 + D2 + d23 + d24 ) / nd )
+ …… + An ( dn / nd ) .
A1 + A2 + A3 + A4 + A5 + A6 + An.
After the calculation we get the value of
average rainfall depth is : 17.463 cm.
5. CONCLUSIONS :
 This SSV’s Depth Leveling method is effectively
applicable to measure the rain fall depth in case large
catchment area having uneven terrain area.
 The combination of readings of water depth at rain
gauge station and ranging rods will reduce the error
occurring during the rainfall depth measurement.
 The accuracy of average rainfall depth is increased
due to taking ranging rod depth into consideration.
 In this study after taking the observation and
calculation get the resulted average rainfall depth of
17.463 cm.
 This SSV’s Levelling Depth method also gives the
accurate average rainfall depth , that means this
method is applicable in field.
 The SSV’s Rainfall Levelling Depth formula is
applicable to measure the average rainfall depth
effectively.
6. REFERENCES
 Allen, R. J., and A. T.
DeGaetano (2005), Considerations for the use of
radar-derived precipitation estimates in
determining return intervals for extreme areal
precipitation amounts, J. Hydrol., 315, 203.
 Barnes, S. L. (1964), A technique for maximizing
details in numerical weather map analysis, J. Appl.
Meteorol., 3, 396– 409.
 Buishand, T. A. (1991), Extreme rainfall
estimation by combining data from several
sites, Hydrol. Sci. J., 36, 345– 365.
 Buishand, T. A., and J. B.
Wijngaard (2007), Statistiek van extreme neerslag
voor korte neerslagduren (in Dutch), Tech. Rep.
TR-295, KNMI, De Bilt. (Available)
 Buishand, T. A., R. Jilderda, and J. B.
Wijngaard (2009), Regionale verschillen in
extreme neerslag (in Dutch), Sci. Rep. WR-2009-
01, KNMI, De Bilt.
 Carbone, R., and J. D. Tuttle (2008), Rainfall
occurrence in the U.S. warm season: The diurnal
cycle, J. Clim., 21, 4132.
 Bhowmik SKR, Das AK (2007) Rainfall analysis for
Indian monsoon region using
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 09 Issue: 02 | Feb 2022 www.irjet.net p-ISSN: 2395-0072
© 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 454
 the merged rain gauge observations and satellite
estimates: Evaluation of monsoon rainfall
features. J Earth Syst Sci 116(3):187–198
 Mishra A, Gairola RM, Varma AK, Agarwal VK
(2010) Remote sensing of Precipitation over
Indian land and oceanic regions by synergistic use
of multi-satellite sensors. J Geophys Res 115,
D08106, doi no. 10.1029/ 2009JD012157
 Mishra A, Gairola RM
 Bhowmik SKR, Das AK (2007) Rainfall analysis for
Indian monsoon region using the merged rain
gauge observations and satellite estimates:
Evaluation of monsoon rainfall features. J Earth
Syst Sci 116(3):187–198
 Mishra A, Gairola RM, Varma AK, Agarwal VK
(2010) Remote sensing of Precipitation over
Indian land and oceanic regions by synergistic use
of multi-satellite sensors. J Geophys Res 115,
D08106, doi no. 10.1029/ 2009JD012157
 Mishra A, Gairola RM
BIOGRAPHIES
MR. SURAJ SUKHADEV
VANKAMBLE.
- ASSISTANT PROFESSOR, CIVIL
ENGINEERING DEPARTMENT,
SBGI,MIRAJ, (2021-22)
- M-TECH (GEOTECHNICAL
ENGINEERING), COLLEGE OF
ENGINEERING PUNE, COEP,
(2019-21).
- B.E. (CIVIL ENGINEERING), DR.
JJMCOE, JAYSINGPUR, (SHIVAJI
UNIVERSITY), (2014-18).
MR. MAHESHKUMAR DAMODAR
INAMDAR.
- LAB ASSISTANT, CIVIL
ENGINEERING
DEPARTMENT, SBGI,
MIRAJ.
- DIPLOMA (CIVIL
ENGINEERING), LATTHE
POLYTECHNIC, SANGLI.
1’st
Author
Photo

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Estimation of Average Rainfall Depth using “SSV’s Depth Leveling Method”

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 02 | Feb 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 451 Estimation of Average Rainfall Depth using “SSV’s Depth Leveling Method” Suraj Sukhadev Vankamble1, Maheshkumar D. Inamdar2 1Assistant Professor, Civil Engineering Department, SBGI Miraj. 2Lab Assistant, Civil Engineering Department, SBGI Miraj. ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract – Rainfall is the main source of water and used for various purposes. A knowledge of the amount of rainfall and the distribution of rainfall is extremely useful for irrigation engineers and all other involved in the development of water resources. The amount of rainfall is expressed as the depth of water in centimeters which would accumulate on a level surface if the rainfall were retained where it fell. The rainfall recorded by a rain gauge represents the rainfall at that station. It is also called the point rainfall. In many hydrological studies, the average depth of rainfall over a specified area due to storm, or due to number of storm, is required. For determination of average precipitation over an area, a large number of rain gauges are installed. The average rainfall over an area is found from number of methods such as Arithmetic mean method, Thiessen polygon method and isohyetal map method. In this study by using “SSV’s Depth Leveling Method” the average rainfall depth is find out. The resulting depths are found by combination of rain gauge as well as ranging rod readings. Key Words: Average rainfall Depth, rain gauge station, ranging rod, specified area. 1.Introduction : The Average rainfall depth is necessary to maintain the record of rainfall amount of that particular area. The rain gauge are implant in specific area on the basis of terrain properties and the average rainfall. There are various methods used in the field to calculate the average rainfall depth such as Arithmetic mean method, Thiessen polygon method and Isohyetal method. If the country is flat and the gauges are uniformly distributed over the area, the rainfall of the, the rainfall of the indivisual station does not show much variation from the mean precipitation of the area. In the arithmetic mean method, the average depth of rainfall over an area is taken as the arithmetic mean of the rainfall depths of all stations. It is obtained by the dividing the sum of the depths of rainfall recorded at all rain gauge stations by the number of stations. P = P1 + P2 +….+ Pn N Here, P1, P2 … Pn are the depth of rainfall recorded at the rain gauge 1,2,….n. In the Thiessen polygon method, the rainfall recorded at each rain gauge station is given weightage on the basis of the area which it represent. This method is better than the arithmetic mean method which gives equal weightage to all stations. The average precipitation of the area is given by : P = P1A1 + P2A2 + ……..+ PnAn A1 + A2 + ….An Here A1, A2, …An are the area of the Thiessen Polygon representing the station 1,2, …. , n and P1, P2, … Pn are the corresponding precipitation and A is the total area. Isohyets are the contours of equal rainfall depth. For plotting of an isohyetal map, rain gauge stations are marked on the plan of the catchment. The rainfall recorded at these stations is also marked on the plan of the catchment. The rainfall recorded at these station is also marked on the plan. The rain gauge stations located outside the catchment but in its neighborhood are also marked. The isohyets of various rainfall depth are then drawn by interpolating the values of the rainfall. In this study we use the SSV’s Depth Leveling method to found the average rainfall depth by using rain gauge station and ranging rods. 2. SSV’s Depth Levelling Method : In this method the terrain with ups and downs are allowable. The procedure required to complete the results using this method is are as follows: a) The total area for which rainfall depth is measured is going to be distributed into equal area having name as A1, A2 …. And so on. b) The positions of the rain gauge stations are marked on the plan of the catchment area over which the average rainfall depth is required. c) The care should be taken that the rain gauge station should be at center position of the each equally separated area. As shown in figure.1 :
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 02 | Feb 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 452 Fig.1 Catchment area divided into equal area. Here a1, a2, and ..an are the area of divided parts of catchment area. d) The sub divisions which are equally distributes by area wise are set up with the rain gauge stations placed centrally of that sub division. Then the ranging rods are placed on the four corners of the sub divided area around the rain gauge station. e) There is lots of chances of presence of uneven terrain in the divided area. So there is chances of incorrect rainfall data collection. So to avoid this the ranging rods are setup to take the RL of that position and match with rain gauge stations position RL. f) The care should be taken that the ranging rod should be on equal distance from the central rain gauge station. g) After the complete set up the readings should be taken. The rainfall depth at all rain gauge station and the respective ranging rods are taken into observation table and the calculation should be done to obtain the average rainfall depth by using formula as discussed further. 3. Average Rainfall Depth Formula: The average Precipitation of the area is calculated by taking the all the rainfall depth at the rain gauge station of that area and the respective ranging rod of that sub divide area, as given in below figure. 2: Fig.2 SSV’s Depth Leveling Method. The average precipitation of the area is given by using the formula : d = A1 ( (d11 + d12 + D1 + d13 + d14 ) / nd ) + A2 ( (d21 + d22 + D2 + d23 + d24 ) / nd ) + …… + An ( dn / nd ) . _______________________________________ A1 + A2 + A3 + A4 + A5 + A6 + An. Here, D = Water level depth at raingauge station. d = depth of ranging rod in comparison with water level at raingauge station.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 02 | Feb 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 453 A = area of the selected region. 4. Observations : Table no. 1 given below shows the value of water depth in cm observed at rain gauge station and ranging rod present at divided area. Table.1 Depth of water level observation. Sr. No. Area (A) Rain gauge Rainfall Depth (D) Ranging Rod Rainfall Depth (d) 1. A1= 2 square km 15 cm 16 cm 18 cm D-15 cm 15.5 cm 16.5 cm 2. A2 = 2.52 square km 18 cm 17 cm 17.5 cm D-18 cm 19 cm 14 cm 3. A3 = 1.98 square km 21 cm 19 cm 21 cm D-21 cm 20 cm 21 cm 4. A4 = 2.225 square km 13 cm 11 cm 13 cm D-13 cm 15 cm 16 cm 5. A5 = 1.985 square km 20 cm 22 cm 28 cm D-20 cm 15 cm 18 cm o Average Depth of rainfall in 24 hours = d = A1 ( (d11 + d12 + D1 + d13 + d14 ) / nd ) + A2 ( (d21 + d22 + D2 + d23 + d24 ) / nd ) + …… + An ( dn / nd ) . A1 + A2 + A3 + A4 + A5 + A6 + An. After the calculation we get the value of average rainfall depth is : 17.463 cm. 5. CONCLUSIONS :  This SSV’s Depth Leveling method is effectively applicable to measure the rain fall depth in case large catchment area having uneven terrain area.  The combination of readings of water depth at rain gauge station and ranging rods will reduce the error occurring during the rainfall depth measurement.  The accuracy of average rainfall depth is increased due to taking ranging rod depth into consideration.  In this study after taking the observation and calculation get the resulted average rainfall depth of 17.463 cm.  This SSV’s Levelling Depth method also gives the accurate average rainfall depth , that means this method is applicable in field.  The SSV’s Rainfall Levelling Depth formula is applicable to measure the average rainfall depth effectively. 6. REFERENCES  Allen, R. J., and A. T. DeGaetano (2005), Considerations for the use of radar-derived precipitation estimates in determining return intervals for extreme areal precipitation amounts, J. Hydrol., 315, 203.  Barnes, S. L. (1964), A technique for maximizing details in numerical weather map analysis, J. Appl. Meteorol., 3, 396– 409.  Buishand, T. A. (1991), Extreme rainfall estimation by combining data from several sites, Hydrol. Sci. J., 36, 345– 365.  Buishand, T. A., and J. B. Wijngaard (2007), Statistiek van extreme neerslag voor korte neerslagduren (in Dutch), Tech. Rep. TR-295, KNMI, De Bilt. (Available)  Buishand, T. A., R. Jilderda, and J. B. Wijngaard (2009), Regionale verschillen in extreme neerslag (in Dutch), Sci. Rep. WR-2009- 01, KNMI, De Bilt.  Carbone, R., and J. D. Tuttle (2008), Rainfall occurrence in the U.S. warm season: The diurnal cycle, J. Clim., 21, 4132.  Bhowmik SKR, Das AK (2007) Rainfall analysis for Indian monsoon region using
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 09 Issue: 02 | Feb 2022 www.irjet.net p-ISSN: 2395-0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 454  the merged rain gauge observations and satellite estimates: Evaluation of monsoon rainfall features. J Earth Syst Sci 116(3):187–198  Mishra A, Gairola RM, Varma AK, Agarwal VK (2010) Remote sensing of Precipitation over Indian land and oceanic regions by synergistic use of multi-satellite sensors. J Geophys Res 115, D08106, doi no. 10.1029/ 2009JD012157  Mishra A, Gairola RM  Bhowmik SKR, Das AK (2007) Rainfall analysis for Indian monsoon region using the merged rain gauge observations and satellite estimates: Evaluation of monsoon rainfall features. J Earth Syst Sci 116(3):187–198  Mishra A, Gairola RM, Varma AK, Agarwal VK (2010) Remote sensing of Precipitation over Indian land and oceanic regions by synergistic use of multi-satellite sensors. J Geophys Res 115, D08106, doi no. 10.1029/ 2009JD012157  Mishra A, Gairola RM BIOGRAPHIES MR. SURAJ SUKHADEV VANKAMBLE. - ASSISTANT PROFESSOR, CIVIL ENGINEERING DEPARTMENT, SBGI,MIRAJ, (2021-22) - M-TECH (GEOTECHNICAL ENGINEERING), COLLEGE OF ENGINEERING PUNE, COEP, (2019-21). - B.E. (CIVIL ENGINEERING), DR. JJMCOE, JAYSINGPUR, (SHIVAJI UNIVERSITY), (2014-18). MR. MAHESHKUMAR DAMODAR INAMDAR. - LAB ASSISTANT, CIVIL ENGINEERING DEPARTMENT, SBGI, MIRAJ. - DIPLOMA (CIVIL ENGINEERING), LATTHE POLYTECHNIC, SANGLI. 1’st Author Photo