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International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VIS, June 2017 | ISSN 2321–2705
www.rsisinternational.org Page 7
Comparative Analysis of Empirical Models Derived
Groundwater Recharge Estimation in Venkatapura
Watershed, Karnataka
Praveen G. Deshbhandari, C. Krishnaiah
Department of Marine Geology, Mangalore University, Mangalagangothri- 574 199, India
Abstract - The quantification of water resources is very essentiaal
to water resources management. The Venkatapura Watershed of
Karnataka has been selected for the present study. The
groundwater recharge is determined by using different empirical
models proposed by Chaturvedi, Up Irrigation Research
Institute, Bhattacharjee, Krishna Rao, Sehgal, Kumar and
Sethapathi. According Sehgal formulae average maximum
groundwater recharge of 34.27% observed and based on
Chaturvedi formulae minimum groundwater recharge of 8.04%
is observed. The correlation analysis reveals that Chaturvedi,
UPRI and Kumar and Sethapathi formulas are nearly same. The
present study helps to calculate groundwater recharge without
hydrogeological methods.
Key words -Recharge, Rainfall, Venkatapura, Monsoon
I. INTRODUCTION
he rain water is main source for groundwater recharge.
West coast of Karnataka receives sufficient amount of
rainfall during monsoon season. The large volume of water
will be discharged to ocean during the flood. Estimation of
groundwater recharge is necessary to assess hydrogeological
conditions of the area.Groundwater recharge is defined as the
fraction of total precipitation falling into a drainage basin,
which eventually reaches the water table in the saturation zone
of an aquifer (Juckik and Juckik , 2004) Quantifying recharge
is important to sustain long-term groundwater use, make
intelligent groundwater allocation decision and water
management stratargies (Ebrahimi and Ghazavi, 2016)
Recent days most of the indirect methods like
groundwater fluctuation method, soil water balance approach
and tracer techniques are utilized to employ to determine the
groundwater recharge. These techniques are necessary to
required regular field monitoring. Some of the recharge
determination techniques, data are required on temporal scales
ranging from days to thousands of years (Adhikary et al.
2012). Estimation of groundwater recharge is difficult without
availability of hydrological data. In this adequate situation
empirical models are useful to quantify the groundwater
recharge. The empirical methods, using simple mathematical
relations, can give quick recharge value for water resource
decision making process. Increasing demand for recharge
estimation is forcing the researchers to develop new
approaches through understanding of aquifer recharging
process (Scanlon and Cook, 2002). The various researchers
are proposed different formulas to calculate ground water
recharge. For Indian climatic conditions, various models are
generated by various workers. These empirical models are
required only meteorological statistics as an input. In the
present study empirical models proposed Chaturvedi, Up
Irrigation Research Institute, Bhattacharjee, Krishna Rao,
Sehgal, Kumar and Sethapathi are applied to determine
groundwater recharge in Venkatapura watershed.
II. STUDY AREA
The Venkatapura watershed is located between 13058’48” to
14008’46”N latitude and 74028’48” to 74044’35”E longitude.
The rivers flows about 15 km and joins the Arabian sea near
Venkatapura village of Bhatkal Taluk with an catchment area
of 363.45 Sq, Km. The watershed covers part of Uttara
Kannada and Shimoga districts of Karnataka State. The river
originates in western ghat near Kogar villages . The river
confluences to Arabian ocean near Venkatapura village of
Bhatkal Taluk. The metabasalt, laterite and Chlorite schists
are main litho units of the study area. The study area
comprises of sandy, gravelly clayey and clayey type of soils.
Forest and agriculture are the major land use in the catchment
(Karthik and Ramachandra 2007). The location map of the
study area is shown in Fig 1.
Fig. 1 Location Map
T
International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VIS, June 2017 | ISSN 2321–2705
www.rsisinternational.org Page 8
III. METHODOLOGY
The base map of the study area is prepared from SOI
Toposheets. The three rain gauze stations namely Shirali,
Nagavalli and kogar are located in the study area. The Bhatkal
station is situated near to the watershed boundary. The rain
guaze stations are shown in Figure The rainfall data four
stations was collected from Department of Mines and
Geology, Groundwater Division and Directorate of
Economics and Statistics, Government of Karnataka. The
average areal rainfall of the watershed is calculated by using
arithmetic mean method. The natural groundwater recharge
from rainfall estimated using empirical formulae proposed by
various workers. The statistical techniques i.e. correlation
analysis is applied to compare results obtained from various
models.
Fig. 2 Location map of Rain gauze Stations
III. RESULTS AND DISCUSSIONS
A. Rainfall Statistics
The variation of average rainfall recorded in stations is shown
in the Table 1. Descriptive Rainfall Statistics of Stations are
shown in the table. The highest rainfall (7516.8mm) is
recorded in Kogar station in the year 2006 and lowest rainfall
(3025.7mm) is recorded in Shirali station in the Year 2015.
The highest mean rainfall (6118.6mm) is observed in Kogar
station.
TABLE 1
RAINFALL RECORDED IN GAUZING STATIONS
Year Shirali Bhatkal Kogar Nagavalli Mean
1996 - 3626.9 5007.6 4189.3 4274.6
1997 - 4043.7 6195.8 5455.6 5231.7
1998 - 4924.8 6769.7 6650.7 6115.0
1999 - 6027.4 6456.9 6325.2 6269.8
2000 - 5960.2 7267.4 6004.2 6410.6
2001 - 4014.8 3781.0 3107.8 3634.5
2002 - 3471.2 4198.1 5132.0 4267.1
2003 - 4146.5 5645.0 5335.6 5042.3
2004 - 4916.6 5744.0 5520.2 5393.6
2005 - 4423.4 6278.8 6446.8 5716.3
2006 - 6148.0 7516.8 7140.9 6935.2
2007 - 5800.6 7084.8 6253.2 6379.5
2008 3395.0 3878.0 5013.1 3654.7 3985.2
2009 4392.0 4964.1 6630.4 5991.3 5494.4
2010 4363.9 5229.8 5884.6 6693.7 5543.0
2011 3765.0 4585.0 7004.0 4555.0 4977.2
2012 4148.0 3427.0 6283.0 5555.7 4853.4
2013 4444.0 4891.0 7419.4 6111.2 5716.4
2014 3695.3 3653.2 6074.4 4896.1 4579.7
2015 3025.7 3462.0 4582.1 3916.3 3746.5
TABLE 2:
DESCRIPTIVE RAINFALL STATISTICS OF STATIONS
Stations Shirali Nagavalli Kogar Bhatkal
N Valid 8 20 20 20
Missing 0 0 0 0
Mean 3903.6 5446.7 6118.6 4579.7
Median 3956.5 5537.9 6278.8 4504.2
Std.
Deviation
520.1 1104.4 1042.7 910.0
Variance 270593.6 1219906.9 1087428.1 828187.2
Maximum 4444 7140.9 7516.8 6148
Minimum 3025.7 3107.8 3781 3427
Sum 31228.9 108935.5 116254.8 91594.2
B. Groundwater recharge Estimation
The results of various models are shown in Table 3 and are
discussed below.
1) Chaturvedhi formula (1936):
Chaturvedhi derived a following empirical equation to
calculate groundwater recharge.
Rg = 2(P − 15)0.4
Where, P is the annual precipitation in Inches.
According to this formula the highest rainfall
recharge is observed in 9.73 % in the year 2001 and lowest
rainfall is observed in 6.75 % in the year 2006. The mean
recharge of 8.04 % is observed in last 20 years.
2) Up Irrigation Research Institute Formula:
In 1954 Up Irrigation Research Institute modified equation as.
Rg = 1.35(P − 14)0.5
Where, P is the annual precipitation in inches.
Based on this formula the estimated groundwater recharge
ranges from 7.95 % to 10.71% for the year 2006 and 2001
respectively. The mean recharge of 9.17% is observed in the
study period.
3) Bhattacharjee Formula (1954):
Bhattacharjee has proposed the following empirical formulae
to calculate to groundwater recharge
Rg = 3.47(P − 38)0.4
Where, P is the annual precipitation in centimeters.
The estimated lowest groundwater recharge (6.68) is noticed
in 2001 and highest (9.63) is noticed in 2006. The average
International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VIS, June 2017 | ISSN 2321–2705
www.rsisinternational.org Page 9
rainfall induced recharge of 8.329 is observed in between the
year 1996 to 2015.
4) Krishna Rao Formula (1970)
Krishna Rao developed the following empirical relation to
calculate groundwater recharge based on climatic conditions.
Rg = K (P-X)
Where,
K is constant
P is the annual precipitation in millimeters.
X is number of point rainfall.
The following formulae is applied to different climatic
conditions of Karnataka
Rr = 0.20 (P-400) – for areas with annual rainfall between 400
and 600mm
Rr = 0.25 (P-400) – for areas with annual rainfall between 600
and 1000mm
Rr = 0.35 (P-600) – for areas with annual rainfall above
2000mm
According to this formula Groundwater recharge is varies
between 29.22 % (Year 2001) to 31.97% (Year 2006). The
30.84% of mean recharge is observed in last 20 years.
5) Sehgal Formula (1973)
Sehgal has developed the following empirical relation to
calculate groundwater recharge.
Rg = 2.5 (P-16)0.5
Where, P is the annual precipitation in inches.
According to Sehgal formulae the groundwater recharge
varies in between 28.18 % to 40.08 % for the year 2001 and
2006 respectively. The average recharge of 34.27% is
observed in 1996 to 2015.
6) Kumar and Seethapathi (2002)
The Kumar and Seethapathi developed empirical formula to
determine the ground water recharge.
Rg = 0.63 (P-15.28)0.76
Where, P is the annual precipitation in inches.
Based on above formulae groundwater recharge ranges from
15.69% to 17.56 % for the year 2001 and 2006 respectively.
The average recharge of 16.57% is observed in 1996 to 2015.
TABLE 3:
ESTIMATION OF NATURAL RECHARGE FROM ANNUAL RAINFALL IN THE STUDY AREA
Si.
No
Year
Rainfall
(mm)
Groundwater Recharge in %
Chaturvedi UPRI
Bhattach-
arjee
Krishna
Rao
Sehgal
Kumar &
Sethapathi
Average
1 1996 4274.60 8.89 9.96 9.63 30.08 30.85 17.12 17.75
2 1997 5231.70 7.93 9.08 8.83 30.98 34.45 16.54 17.96
3 1998 6115.07 7.25 8.44 8.03 31.56 37.47 16.07 18.13
4 1999 6269.83 7.15 8.34 7.73 31.65 37.98 15.99 18.14
5 2000 6410.60 7.06 8.25 7.48 31.72 38.43 15.93 18.14
6 2001 3634.53 9.73 10.71 6.68 29.22 28.18 17.56 17.01
7 2002 4267.10 8.90 9.97 7.01 30.07 30.82 17.13 17.31
8 2003 5042.37 8.10 9.23 8.93 30.83 33.77 16.65 17.91
9 2004 5393.60 7.79 8.95 7.35 31.10 35.03 16.45 17.77
10 2005 5716.33 7.54 8.71 7.25 31.32 36.14 16.27 17.87
11 2006 6935.23 6.75 7.95 7.74 31.97 40.08 15.69 18.36
12 2007 6379.53 7.08 8.27 7.98 31.70 38.33 15.94 18.21
13 2008 3985.20 9.25 10.28 7.22 29.73 29.67 17.32 17.24
14 2009 5494.45 7.71 8.87 9.16 31.17 35.38 16.39 18.11
15 2010 5543.00 7.67 8.84 9.26 31.21 35.55 16.36 18.14
16 2011 4977.25 8.16 9.29 9.26 30.78 33.53 16.68 17.95
17 2012 4853.43 8.28 9.40 9.26 30.67 33.07 16.76 17.90
18 2013 5716.40 7.54 8.71 9.26 31.32 36.14 16.27 18.20
19 2014 4579.75 8.55 9.65 9.26 30.41 32.04 16.93 17.80
20 2015 3746.53 9.57 10.57 9.26 29.39 28.66 17.48 17.48
Avg. 5228.32 8.04 9.17 8.32 30.84 34.27 16.57 17.87
TABLE 3:
DESCRIPTIVE STATISTICS OF AREAL RECHARGE FROM FORMULAE.
Empirical
Equations
Chaturvedi UPRI Bhattacharjee Krishna Rao Sehgal
Kumar &
Sethapathi
N Valid 20 20 20 20 20 20
Missing 0 0 0 0 0 0
International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VIS, June 2017 | ISSN 2321–2705
www.rsisinternational.org Page 10
Mean 8.045 9.173 8.329 30.84 34.27 16.57
Median 7.86 9.015 8.43 31.04 34.74 16.495
Std. Deviation 0.865 0.800 0.963 0.798 3.422 0.543
Variance 0.749 0.640 0.928 0.637 11.713 0.295
Maximum 9.73 10.71 9.63 31.97 40.08 17.56
Minimum 6.75 7.95 6.68 29.22 28.18 15.69
Sum 160.9 183.47 166.58 616.88 685.87 331.53
TABLE 4:
INTER CORRELATION MATRIX OF ANNUAL AREAL RECHARGE
Chaturvedi UPRI Bhattacharjee Krishna Rao Sehgal
Kumar &
Sethapathi
Chaturvedi 1.000 0.999 0.028 -0.999 -0.996 0.997
UPRI 0.999 1.000 0.035 -0.998 -0.997 0.998
Bhattach-arjee 0.028 0.035 1.000 -0.006 -0.072 0.060
Krishna Rao -0.999 -0.998 -0.006 1.000 0.991 -0.993
Sehgal -0.996 -0.997 -0.072 0.991 1.000 -0.999
Kumar & Sethapathi 0.997 0.998 0.060 -0.993 -0.999 1.000
C. The Correlation Analysis
Inter Correlation Matrix of Annual rainfall Recharge shows
Chaturvedi formulae is more positively correlated with UPRI
formulae and Kumar and Sethapathi formulae and very less
positively correlated with Bhattacharjee formulae. Chaturvedi
formula is more negatively correlated with Krishna Rao and
Sehgal formuale. It indicates Chaturvedi, UPRI and Kumar
and Sethapathi formulas are nearly same. Inter Correlation
Matrix of Annual rainfall Recharge is shown in Table 4.
IV. CONCLUSION
The present study demonstrates empirical models based
groundwater recharge estimation and application of statistical
techniques for comparative analysis. According to Sehgal
formulae mean highest groundwater recharge of 34.27%
observed and ased on Chaturvedi formulae minimum
groundwater recharge of 8.04% is observed in the period of
1996 to 2015. The Inter Correlation Matrix of Annual
groundwater recharge indicates Chaturvedi, UPRI and Kumar
and Sethapathi formulas are nearly same. These approaches
are helpful without availability of the hydrogeological data.
ACKNOWLEDGEMENTS
The authors are thankful to chairman and Coordinator UGC
SAP, Department of Marine Geology, Mangalore University
for extending laboratory facilities.
REFERENCES
[1]. Adhikary S. K., Chaki T., Rahman M. M. and Gupta A D (2013)
Estimation of groundwater recharge into a shallow unconfined
aquifer in Bangladesh, Journal of Engineering Science 04 (1): 11-
12
[2]. Ebrahimi H., Ghazavi R., Karimi H. (2016) Estimation of
groundwater recharge from the rainfall and irrigation in an Arid
environment using inverse modeling approach and RS. Water
Resource Management 30:6, pp1939-1951.
[3]. Oke, M. O. Martins O., Idowu O. A. and Aiyelokun, O. (2015)
Comparative analysis of groundwater recharge estimation value
obtained using empirical methods in Ogun and Oshun river basins.
Ife Journal of Science, 17(1) p53-56
[4]. Gontia N and Patil P. Y. (2012) Assessment of groundwater
recharge through rainfall and water harvesting structures in Jamka
Microwatershed using Remote sensing and GIS J Indian Soc.
Remote Sens, 40(4):639-648
[5]. Jukik D. and Jukik V. D. (2004) A frequency domain approach to
groundwater recharge Estimation in Karst , Journal of Hydrology ,
289(1-4): 95-110
[6]. Karthick B. and Ramachandra T. V. (2007) Spatial variation of
physico-chemical and hydrological parameters with land-use in
Venkatapura Catchment, Karnataka, 9(4): 1001-1005.
[7]. Kumar, C. P. and Sethapathi, P. V. (2002) Assessment of natural
Ground water recharge in upper Ganga Canal command area.
Journal of Applied Hydrology, 15(4):13-20.
[8]. Scalon B. R., Hearly, R. W. and Cook, P. G. (2002) Choosing
appropriate techniques for quantifying groundwater recharge .
Hydrogeology Journal 10(1): 18-39.

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Comparative Analysis of Empirical Models Derived Groundwater Recharge Estimation in Venkatapura Watershed, Karnataka

  • 1. International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VIS, June 2017 | ISSN 2321–2705 www.rsisinternational.org Page 7 Comparative Analysis of Empirical Models Derived Groundwater Recharge Estimation in Venkatapura Watershed, Karnataka Praveen G. Deshbhandari, C. Krishnaiah Department of Marine Geology, Mangalore University, Mangalagangothri- 574 199, India Abstract - The quantification of water resources is very essentiaal to water resources management. The Venkatapura Watershed of Karnataka has been selected for the present study. The groundwater recharge is determined by using different empirical models proposed by Chaturvedi, Up Irrigation Research Institute, Bhattacharjee, Krishna Rao, Sehgal, Kumar and Sethapathi. According Sehgal formulae average maximum groundwater recharge of 34.27% observed and based on Chaturvedi formulae minimum groundwater recharge of 8.04% is observed. The correlation analysis reveals that Chaturvedi, UPRI and Kumar and Sethapathi formulas are nearly same. The present study helps to calculate groundwater recharge without hydrogeological methods. Key words -Recharge, Rainfall, Venkatapura, Monsoon I. INTRODUCTION he rain water is main source for groundwater recharge. West coast of Karnataka receives sufficient amount of rainfall during monsoon season. The large volume of water will be discharged to ocean during the flood. Estimation of groundwater recharge is necessary to assess hydrogeological conditions of the area.Groundwater recharge is defined as the fraction of total precipitation falling into a drainage basin, which eventually reaches the water table in the saturation zone of an aquifer (Juckik and Juckik , 2004) Quantifying recharge is important to sustain long-term groundwater use, make intelligent groundwater allocation decision and water management stratargies (Ebrahimi and Ghazavi, 2016) Recent days most of the indirect methods like groundwater fluctuation method, soil water balance approach and tracer techniques are utilized to employ to determine the groundwater recharge. These techniques are necessary to required regular field monitoring. Some of the recharge determination techniques, data are required on temporal scales ranging from days to thousands of years (Adhikary et al. 2012). Estimation of groundwater recharge is difficult without availability of hydrological data. In this adequate situation empirical models are useful to quantify the groundwater recharge. The empirical methods, using simple mathematical relations, can give quick recharge value for water resource decision making process. Increasing demand for recharge estimation is forcing the researchers to develop new approaches through understanding of aquifer recharging process (Scanlon and Cook, 2002). The various researchers are proposed different formulas to calculate ground water recharge. For Indian climatic conditions, various models are generated by various workers. These empirical models are required only meteorological statistics as an input. In the present study empirical models proposed Chaturvedi, Up Irrigation Research Institute, Bhattacharjee, Krishna Rao, Sehgal, Kumar and Sethapathi are applied to determine groundwater recharge in Venkatapura watershed. II. STUDY AREA The Venkatapura watershed is located between 13058’48” to 14008’46”N latitude and 74028’48” to 74044’35”E longitude. The rivers flows about 15 km and joins the Arabian sea near Venkatapura village of Bhatkal Taluk with an catchment area of 363.45 Sq, Km. The watershed covers part of Uttara Kannada and Shimoga districts of Karnataka State. The river originates in western ghat near Kogar villages . The river confluences to Arabian ocean near Venkatapura village of Bhatkal Taluk. The metabasalt, laterite and Chlorite schists are main litho units of the study area. The study area comprises of sandy, gravelly clayey and clayey type of soils. Forest and agriculture are the major land use in the catchment (Karthik and Ramachandra 2007). The location map of the study area is shown in Fig 1. Fig. 1 Location Map T
  • 2. International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VIS, June 2017 | ISSN 2321–2705 www.rsisinternational.org Page 8 III. METHODOLOGY The base map of the study area is prepared from SOI Toposheets. The three rain gauze stations namely Shirali, Nagavalli and kogar are located in the study area. The Bhatkal station is situated near to the watershed boundary. The rain guaze stations are shown in Figure The rainfall data four stations was collected from Department of Mines and Geology, Groundwater Division and Directorate of Economics and Statistics, Government of Karnataka. The average areal rainfall of the watershed is calculated by using arithmetic mean method. The natural groundwater recharge from rainfall estimated using empirical formulae proposed by various workers. The statistical techniques i.e. correlation analysis is applied to compare results obtained from various models. Fig. 2 Location map of Rain gauze Stations III. RESULTS AND DISCUSSIONS A. Rainfall Statistics The variation of average rainfall recorded in stations is shown in the Table 1. Descriptive Rainfall Statistics of Stations are shown in the table. The highest rainfall (7516.8mm) is recorded in Kogar station in the year 2006 and lowest rainfall (3025.7mm) is recorded in Shirali station in the Year 2015. The highest mean rainfall (6118.6mm) is observed in Kogar station. TABLE 1 RAINFALL RECORDED IN GAUZING STATIONS Year Shirali Bhatkal Kogar Nagavalli Mean 1996 - 3626.9 5007.6 4189.3 4274.6 1997 - 4043.7 6195.8 5455.6 5231.7 1998 - 4924.8 6769.7 6650.7 6115.0 1999 - 6027.4 6456.9 6325.2 6269.8 2000 - 5960.2 7267.4 6004.2 6410.6 2001 - 4014.8 3781.0 3107.8 3634.5 2002 - 3471.2 4198.1 5132.0 4267.1 2003 - 4146.5 5645.0 5335.6 5042.3 2004 - 4916.6 5744.0 5520.2 5393.6 2005 - 4423.4 6278.8 6446.8 5716.3 2006 - 6148.0 7516.8 7140.9 6935.2 2007 - 5800.6 7084.8 6253.2 6379.5 2008 3395.0 3878.0 5013.1 3654.7 3985.2 2009 4392.0 4964.1 6630.4 5991.3 5494.4 2010 4363.9 5229.8 5884.6 6693.7 5543.0 2011 3765.0 4585.0 7004.0 4555.0 4977.2 2012 4148.0 3427.0 6283.0 5555.7 4853.4 2013 4444.0 4891.0 7419.4 6111.2 5716.4 2014 3695.3 3653.2 6074.4 4896.1 4579.7 2015 3025.7 3462.0 4582.1 3916.3 3746.5 TABLE 2: DESCRIPTIVE RAINFALL STATISTICS OF STATIONS Stations Shirali Nagavalli Kogar Bhatkal N Valid 8 20 20 20 Missing 0 0 0 0 Mean 3903.6 5446.7 6118.6 4579.7 Median 3956.5 5537.9 6278.8 4504.2 Std. Deviation 520.1 1104.4 1042.7 910.0 Variance 270593.6 1219906.9 1087428.1 828187.2 Maximum 4444 7140.9 7516.8 6148 Minimum 3025.7 3107.8 3781 3427 Sum 31228.9 108935.5 116254.8 91594.2 B. Groundwater recharge Estimation The results of various models are shown in Table 3 and are discussed below. 1) Chaturvedhi formula (1936): Chaturvedhi derived a following empirical equation to calculate groundwater recharge. Rg = 2(P − 15)0.4 Where, P is the annual precipitation in Inches. According to this formula the highest rainfall recharge is observed in 9.73 % in the year 2001 and lowest rainfall is observed in 6.75 % in the year 2006. The mean recharge of 8.04 % is observed in last 20 years. 2) Up Irrigation Research Institute Formula: In 1954 Up Irrigation Research Institute modified equation as. Rg = 1.35(P − 14)0.5 Where, P is the annual precipitation in inches. Based on this formula the estimated groundwater recharge ranges from 7.95 % to 10.71% for the year 2006 and 2001 respectively. The mean recharge of 9.17% is observed in the study period. 3) Bhattacharjee Formula (1954): Bhattacharjee has proposed the following empirical formulae to calculate to groundwater recharge Rg = 3.47(P − 38)0.4 Where, P is the annual precipitation in centimeters. The estimated lowest groundwater recharge (6.68) is noticed in 2001 and highest (9.63) is noticed in 2006. The average
  • 3. International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VIS, June 2017 | ISSN 2321–2705 www.rsisinternational.org Page 9 rainfall induced recharge of 8.329 is observed in between the year 1996 to 2015. 4) Krishna Rao Formula (1970) Krishna Rao developed the following empirical relation to calculate groundwater recharge based on climatic conditions. Rg = K (P-X) Where, K is constant P is the annual precipitation in millimeters. X is number of point rainfall. The following formulae is applied to different climatic conditions of Karnataka Rr = 0.20 (P-400) – for areas with annual rainfall between 400 and 600mm Rr = 0.25 (P-400) – for areas with annual rainfall between 600 and 1000mm Rr = 0.35 (P-600) – for areas with annual rainfall above 2000mm According to this formula Groundwater recharge is varies between 29.22 % (Year 2001) to 31.97% (Year 2006). The 30.84% of mean recharge is observed in last 20 years. 5) Sehgal Formula (1973) Sehgal has developed the following empirical relation to calculate groundwater recharge. Rg = 2.5 (P-16)0.5 Where, P is the annual precipitation in inches. According to Sehgal formulae the groundwater recharge varies in between 28.18 % to 40.08 % for the year 2001 and 2006 respectively. The average recharge of 34.27% is observed in 1996 to 2015. 6) Kumar and Seethapathi (2002) The Kumar and Seethapathi developed empirical formula to determine the ground water recharge. Rg = 0.63 (P-15.28)0.76 Where, P is the annual precipitation in inches. Based on above formulae groundwater recharge ranges from 15.69% to 17.56 % for the year 2001 and 2006 respectively. The average recharge of 16.57% is observed in 1996 to 2015. TABLE 3: ESTIMATION OF NATURAL RECHARGE FROM ANNUAL RAINFALL IN THE STUDY AREA Si. No Year Rainfall (mm) Groundwater Recharge in % Chaturvedi UPRI Bhattach- arjee Krishna Rao Sehgal Kumar & Sethapathi Average 1 1996 4274.60 8.89 9.96 9.63 30.08 30.85 17.12 17.75 2 1997 5231.70 7.93 9.08 8.83 30.98 34.45 16.54 17.96 3 1998 6115.07 7.25 8.44 8.03 31.56 37.47 16.07 18.13 4 1999 6269.83 7.15 8.34 7.73 31.65 37.98 15.99 18.14 5 2000 6410.60 7.06 8.25 7.48 31.72 38.43 15.93 18.14 6 2001 3634.53 9.73 10.71 6.68 29.22 28.18 17.56 17.01 7 2002 4267.10 8.90 9.97 7.01 30.07 30.82 17.13 17.31 8 2003 5042.37 8.10 9.23 8.93 30.83 33.77 16.65 17.91 9 2004 5393.60 7.79 8.95 7.35 31.10 35.03 16.45 17.77 10 2005 5716.33 7.54 8.71 7.25 31.32 36.14 16.27 17.87 11 2006 6935.23 6.75 7.95 7.74 31.97 40.08 15.69 18.36 12 2007 6379.53 7.08 8.27 7.98 31.70 38.33 15.94 18.21 13 2008 3985.20 9.25 10.28 7.22 29.73 29.67 17.32 17.24 14 2009 5494.45 7.71 8.87 9.16 31.17 35.38 16.39 18.11 15 2010 5543.00 7.67 8.84 9.26 31.21 35.55 16.36 18.14 16 2011 4977.25 8.16 9.29 9.26 30.78 33.53 16.68 17.95 17 2012 4853.43 8.28 9.40 9.26 30.67 33.07 16.76 17.90 18 2013 5716.40 7.54 8.71 9.26 31.32 36.14 16.27 18.20 19 2014 4579.75 8.55 9.65 9.26 30.41 32.04 16.93 17.80 20 2015 3746.53 9.57 10.57 9.26 29.39 28.66 17.48 17.48 Avg. 5228.32 8.04 9.17 8.32 30.84 34.27 16.57 17.87 TABLE 3: DESCRIPTIVE STATISTICS OF AREAL RECHARGE FROM FORMULAE. Empirical Equations Chaturvedi UPRI Bhattacharjee Krishna Rao Sehgal Kumar & Sethapathi N Valid 20 20 20 20 20 20 Missing 0 0 0 0 0 0
  • 4. International Journal of Research and Scientific Innovation (IJRSI) | Volume IV, Issue VIS, June 2017 | ISSN 2321–2705 www.rsisinternational.org Page 10 Mean 8.045 9.173 8.329 30.84 34.27 16.57 Median 7.86 9.015 8.43 31.04 34.74 16.495 Std. Deviation 0.865 0.800 0.963 0.798 3.422 0.543 Variance 0.749 0.640 0.928 0.637 11.713 0.295 Maximum 9.73 10.71 9.63 31.97 40.08 17.56 Minimum 6.75 7.95 6.68 29.22 28.18 15.69 Sum 160.9 183.47 166.58 616.88 685.87 331.53 TABLE 4: INTER CORRELATION MATRIX OF ANNUAL AREAL RECHARGE Chaturvedi UPRI Bhattacharjee Krishna Rao Sehgal Kumar & Sethapathi Chaturvedi 1.000 0.999 0.028 -0.999 -0.996 0.997 UPRI 0.999 1.000 0.035 -0.998 -0.997 0.998 Bhattach-arjee 0.028 0.035 1.000 -0.006 -0.072 0.060 Krishna Rao -0.999 -0.998 -0.006 1.000 0.991 -0.993 Sehgal -0.996 -0.997 -0.072 0.991 1.000 -0.999 Kumar & Sethapathi 0.997 0.998 0.060 -0.993 -0.999 1.000 C. The Correlation Analysis Inter Correlation Matrix of Annual rainfall Recharge shows Chaturvedi formulae is more positively correlated with UPRI formulae and Kumar and Sethapathi formulae and very less positively correlated with Bhattacharjee formulae. Chaturvedi formula is more negatively correlated with Krishna Rao and Sehgal formuale. It indicates Chaturvedi, UPRI and Kumar and Sethapathi formulas are nearly same. Inter Correlation Matrix of Annual rainfall Recharge is shown in Table 4. IV. CONCLUSION The present study demonstrates empirical models based groundwater recharge estimation and application of statistical techniques for comparative analysis. According to Sehgal formulae mean highest groundwater recharge of 34.27% observed and ased on Chaturvedi formulae minimum groundwater recharge of 8.04% is observed in the period of 1996 to 2015. The Inter Correlation Matrix of Annual groundwater recharge indicates Chaturvedi, UPRI and Kumar and Sethapathi formulas are nearly same. These approaches are helpful without availability of the hydrogeological data. ACKNOWLEDGEMENTS The authors are thankful to chairman and Coordinator UGC SAP, Department of Marine Geology, Mangalore University for extending laboratory facilities. REFERENCES [1]. Adhikary S. K., Chaki T., Rahman M. M. and Gupta A D (2013) Estimation of groundwater recharge into a shallow unconfined aquifer in Bangladesh, Journal of Engineering Science 04 (1): 11- 12 [2]. Ebrahimi H., Ghazavi R., Karimi H. (2016) Estimation of groundwater recharge from the rainfall and irrigation in an Arid environment using inverse modeling approach and RS. Water Resource Management 30:6, pp1939-1951. [3]. Oke, M. O. Martins O., Idowu O. A. and Aiyelokun, O. (2015) Comparative analysis of groundwater recharge estimation value obtained using empirical methods in Ogun and Oshun river basins. Ife Journal of Science, 17(1) p53-56 [4]. Gontia N and Patil P. Y. (2012) Assessment of groundwater recharge through rainfall and water harvesting structures in Jamka Microwatershed using Remote sensing and GIS J Indian Soc. Remote Sens, 40(4):639-648 [5]. Jukik D. and Jukik V. D. (2004) A frequency domain approach to groundwater recharge Estimation in Karst , Journal of Hydrology , 289(1-4): 95-110 [6]. Karthick B. and Ramachandra T. V. (2007) Spatial variation of physico-chemical and hydrological parameters with land-use in Venkatapura Catchment, Karnataka, 9(4): 1001-1005. [7]. Kumar, C. P. and Sethapathi, P. V. (2002) Assessment of natural Ground water recharge in upper Ganga Canal command area. Journal of Applied Hydrology, 15(4):13-20. [8]. Scalon B. R., Hearly, R. W. and Cook, P. G. (2002) Choosing appropriate techniques for quantifying groundwater recharge . Hydrogeology Journal 10(1): 18-39.