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International Journal of Scientific Research in ______________________________ Research Paper . Mathematical and Statistical Sciences Vol.6, Issue.5, pp.12-33, October (2019) E-ISSN: 2348-4519 DOI: https://doi.org/10.26438/ijsrmss/v6i5.1233

Statical Analysis of Rainfall for Development of Intensity-DurationFrequency curves for Upper Cauvery Karnataka by Log-Normal Distribution Mohammed Badiuddin Parvez1*, M Inayathulla2 1,2

Dept. of Civil Engineering, UVCE, Bangalore University, Bangalore, Karnataka, India *Corresponding Author: parvezuvce@gmail.com Tel.: +919060506390 Available online at: www.isroset.org Received: 15/Oct/2019, Accepted: 23/Oct/2019, Online: 31/Oct/2019

Abstract Intensity–duration–frequency (IDF) curves are among the most demandable information in meteorology, hydrology and engineering water resources design, planning, operation, and management works. The IDF Curves accessible are for the most part done by fitting arrangement of yearly greatest precipitation force to parametric dispersions. Intensity-durationfrequency (IDF) curves represent the relationship between storm intensity, storm duration and return period. Environmental change is relied upon to intensify the boundaries in the atmosphere factors. Being prone to harsh climate impacts, it is very crucial to study extreme rainfall-induced ﬂooding for short durations over regions that are rapidly growing. One way to approach the extremes is by the application of the Intensity-Duration-Frequency (IDF) curves. The annual maximum rainfall intensity (AMRI) characteristics are often used to construct these IDF curves that are being used in several infrastructure designs for urban areas. Thus, there is a necessity to obtain high temporal and spatial resolution rainfall information. Many urban areas of developing countries lack long records of short-duration rainfall. The shortest duration obtained is normally at a daily scale/24 h. This paper suggests their generation based on annual daily maximum rainfall (ADMR) records. Rainfall data of 23 (Twenty three) hydrological years of all stations were used. Maximum rainfall frequency analysis was made by LogNormal Distribution method. Keywords- Climate change, Daily Maximum Rainfall, Intensity Duration Frequency (IDF), Log-Normal Distribution, Rainfall Duration. I. INTRODUCTION The total rainfall and its intensity for a certain period of time are variable from year to another. The variation for depth of rainfall and its intensity depend on the climate type and the length of the studied period. It can be noted in arid and semi-arid areas, there is a significant change in the value of rain from time to another. Due to the significant variation in rainfall and its intensity in a consider time, the design and construction of storm water drainage systems and flood control systems are not depend only on the average of long-term rainfall records but on particular depths of precipitation that can be predicted for a certain probability or return period. These depths of rainfall can only be determined through a comprehensive analysis of a long time series of historical rainfall data. The historical rainfall data series are distinguished by medium and standard deviation, this information cannot be randomly used to predict the rainfall depths that can be estimated with a specific probability or return period for design and © 2019, IJSRMSS All Rights Reserved

management of storm water drainage. Application of this technique to a data set can lead to misguiding results where the actual properties of the distribution are neglected. To avoid mistake, it is necessary to verify the integrity of the assumed distribution before estimating the design depths of the rainfall. There is a need for information of the extreme amounts of rainfall for various durations in the design of hydraulic structures and control storm runoff, such as dams and barriers, and conveyance structures etc. The information that is used hydraulic structure design is usually expressed as a relationship between Intensity-DurationFrequency (IDF) of rainfall. IDF is one of the most important tools for assessing the risks of water resources and also used for planning, design and operation in water resources engineering. Many studies were conducted on rainfall analysis and the regionalization of the IDF curves for different areas. The Objective of the study is to derive the IDF relationship of rainfall for forty three rain gauge station in the study area using Log-Normal distribution. 12

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Vol. 6(5), Oct 2019, ISSN: 2348-4519 Figure 1 Location Map of Study Area

II. MATERIALS AND METHODS A. Study Area The study area geographically lies between 750 29‟ 19” E and 760 37‟ 40” E longitude and 110 55‟ 54” N and 130 23‟ 12.8” N latitude, as shown in Figure 1, the study area has an area of 10874.65 Sq km. The maximum length and width of the study area is approximately equal to 143.73 km and 96.75 km respectively. The maximum and minimum elevation of the basin is 1867 m and 714 m above MSL, respectively. Fourthy three raingauge stations namely kushalnagar, malalur, mallipatna, nuggehalli, periyapatna, ponnampet, sakaleshpur, salagame, shantigrama, arehalli, arkalgud, basavapatna, bettadapura, bilur, channenahally, chikkamagalur, doddabemmatti, galibidu, gonibeedu, gorur, hagare,halllibailu, hallimysore, harangi, hassan, hosakere, hunsur, kechamanna hosakote, naladi, shantebachahalli, belur, belagodu, javali, talakavery, shravanabelagola, siddapura, srimangala, sukravarsanthe, krishnarajpet, virajpet and yelawala were considered as shown in Figure 2. B. Methodology Equation I was used for the estimation of various duration like 5minutes, 10minutes, 15minutes, 30minutes,1-hr, 2-hr, 6-hr, 12-hr rainfall values from annual maximum values. ( ) (Equation I) where, Pt is the required rainfall depth in mm at t-hr duration,

Figure 2 Location of raingauge stations

P24 is the daily rainfall in mm and t is the duration of rainfall for which the rainfall depth is required in hr. Twenty three years (1995-2017) rainfall data was used for the estimation of Short duration rainfall by using above equation for various stations as tabulated in Table 1 to Table 3. Table 1 shows the tabulation of short duration rainfall of station Malalur. Table 2 shows the tabulation of short duration rainfall of station Shravanabelagola. Table 3 shows the tabulation of short duration rainfall of station Hallimysore. Table 4 shows the tabulation of short duration rainfall of station Javali. Similarly the short duration rainfall was tabulated for the remaining Thirty Nine stations. Log-Normal Distribution was applied for the above estimated short duration rainfall to obtain the maximum depth and maximum intensity for various durations of all the stations and a graph of maximum intensity against the duration was plotted for different return periods. Using this values IDF equation for various durations and return period was generated for all the stations and is tabulated in the Table 22.

III. RESULTS AND DISCUSSIONS A. Estimation of Short Duration Rainfall Table 1 Short duration rainfall for Malalur Year

Rainfall (mm) Duration in minutes

1995 1996

50.200 47.000

( )

in mm where, time t is in hours

120

720

1440

7.602 7.117

9.577 8.967

10.963 10.265

13.813 12.933

17.403 16.294

21.927 20.529

39.844 37.304

50.200 47.000

Int. J. Sci. Res. in Mathematical and Statistical Sciences 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017

55.200 65.000 40.200 44.500 52.000 50.200 53.000 68.800 49.500 28.600 58.200 61.000 74.000 47.500 30.000 42.600 53.300 42.000 28.800 60.000 58.100

8.359 9.843 6.087 6.738 7.874 7.602 8.026 10.418 7.496 4.331 8.813 9.237 11.206 7.193 4.543 6.451 8.071 6.360 4.361 9.086 8.798

10.531 12.401 7.670 8.490 9.921 9.577 10.112 13.126 9.444 5.456 11.104 11.638 14.118 9.062 5.724 8.127 10.169 8.013 5.495 11.447 11.085

12.055 14.196 8.779 9.719 11.357 10.963 11.575 15.026 10.811 6.246 12.711 13.322 16.161 10.374 6.552 9.304 11.640 9.173 6.290 13.104 12.689

Vol. 6(5), Oct 2019, ISSN: 2348-4519 15.189 17.885 11.061 12.245 14.308 13.813 14.584 18.931 13.620 7.870 16.014 16.785 20.362 13.070 8.255 11.722 14.666 11.557 7.925 16.510 15.987

19.137 22.534 13.937 15.427 18.027 17.403 18.374 23.852 17.161 9.915 20.177 21.148 25.654 16.467 10.400 14.769 18.478 14.561 9.984 20.801 20.142

24.111 28.391 17.559 19.437 22.713 21.927 23.150 30.051 21.621 12.492 25.421 26.644 32.322 20.748 13.104 18.607 23.281 18.345 12.580 26.207 25.378

43.812 51.591 31.907 35.320 41.272 39.844 42.066 54.607 39.288 22.700 46.193 48.416 58.734 37.701 23.811 33.812 42.304 33.335 22.859 47.622 46.114

55.200 65.000 40.200 44.500 52.000 50.200 53.000 68.800 49.500 28.600 58.200 61.000 74.000 47.500 30.000 42.600 53.300 42.000 28.800 60.000 58.100

Table 2 Short duration rainfall for Shravanabelagola Year

Rainfall (mm) Duration in minutes

1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017

65.600 75.800 98.600 40.200 116.800 79.200 60.000 60.200 69.200 82.000 140.000 46.000 71.800 70.400 182.200 95.400 90.800 73.000 72.800 57.600 38.900 42.000 77.700

( )

in mm where, time t is in hours

120

720

1440

9.934 11.478 14.931 6.087 17.687 11.993 9.086 9.116 10.479 12.417 21.200 6.966 10.872 10.660 27.590 14.446 13.750 11.054 11.024 8.722 5.890 6.360 11.766

12.516 14.462 18.811 7.670 22.284 15.110 11.447 11.485 13.202 15.644 26.710 8.776 13.698 13.431 34.761 18.201 17.323 13.927 13.889 10.989 7.422 8.013 14.824

14.327 16.554 21.534 8.779 25.509 17.297 13.104 13.147 15.113 17.908 30.575 10.046 15.681 15.375 39.792 20.835 19.830 15.943 15.899 12.580 8.496 9.173 16.969

18.051 20.857 27.131 11.061 32.139 21.793 16.510 16.565 19.041 22.563 38.522 12.657 19.757 19.371 50.134 26.250 24.985 20.087 20.032 15.849 10.704 11.557 21.380

22.742 26.278 34.183 13.937 40.492 27.457 20.801 20.870 23.990 28.428 48.535 15.947 24.892 24.406 63.165 33.073 31.479 25.308 25.238 19.969 13.486 14.561 26.937

28.653 33.109 43.068 17.559 51.017 34.594 26.207 26.295 30.226 35.817 61.151 20.092 31.362 30.750 79.583 41.670 39.661 31.886 31.798 25.159 16.991 18.345 33.939

52.067 60.162 78.259 31.907 92.704 62.861 47.622 47.781 54.924 65.083 111.118 36.510 56.988 55.877 144.612 75.719 72.068 57.940 57.781 45.717 30.875 33.335 61.671

65.600 75.800 98.600 40.200 116.800 79.200 60.000 60.200 69.200 82.000 140.000 46.000 71.800 70.400 182.200 95.400 90.800 73.000 72.800 57.600 38.900 42.000 77.700

Table 3 Short duration rainfall for Hallimysore Year

Rainfall (mm) Duration in minutes

1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005

56.600 66.800 84.400 37.000 91.200 54.200 85.400 56.300 63.200 60.200 58.200

( )

in mm where, time t is in hours

120

720

1440

8.571 10.115 12.780 5.603 13.810 8.207 12.932 8.525 9.570 9.116 8.813

10.798 12.744 16.102 7.059 17.400 10.341 16.293 10.741 12.058 11.485 11.104

12.361 14.589 18.433 8.081 19.918 11.837 18.651 12.296 13.803 13.147 12.711

15.574 18.381 23.224 10.181 25.095 14.914 23.499 15.492 17.390 16.565 16.014

19.622 23.158 29.260 12.827 31.617 18.790 29.607 19.518 21.910 20.870 20.177

24.722 29.178 36.865 16.161 39.835 23.674 37.302 24.591 27.605 26.295 25.421

44.923 53.019 66.988 29.367 72.385 43.019 67.782 44.685 50.162 47.781 46.193

56.600 66.800 84.400 37.000 91.200 54.200 85.400 56.300 63.200 60.200 58.200

Int. J. Sci. Res. in Mathematical and Statistical Sciences 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017

50.800 46.200 60.200 72.400 72.800 62.200 58.800 64.800 83.800 66.800 55.500 87.700

7.692 6.996 9.116 10.963 11.024 9.419 8.904 9.812 12.690 10.115 8.404 13.280

9.692 8.814 11.485 13.813 13.889 11.867 11.218 12.363 15.988 12.744 10.589 16.732

11.094 10.090 13.147 15.812 15.899 13.584 12.842 14.152 18.302 14.589 12.121 19.153

Vol. 6(5), Oct 2019, ISSN: 2348-4519 13.978 12.712 16.565 19.922 20.032 17.115 16.179 17.830 23.058 18.381 15.271 24.132

17.611 16.017 20.870 25.100 25.238 21.564 20.385 22.465 29.052 23.158 19.241 30.404

22.189 20.180 26.295 31.624 31.798 27.168 25.683 28.304 36.603 29.178 24.242 38.307

40.320 36.669 47.781 57.464 57.781 49.368 46.670 51.432 66.512 53.019 44.050 69.608

50.800 46.200 60.200 72.400 72.800 62.200 58.800 64.800 83.800 66.800 55.500 87.700

Table 4 Short duration rainfall for Javali Year

Rainfall (mm) Duration in minutes

1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017

( )

140.000 87.000 136.000 124.000 121.000 156.600 119.000 131.000 129.600 170.000 127.000 146.400 209.000 158.000 218.000 112.500 187.500 149.300 170.300 210.000 214.000 112.500 148.500

120

720

1440

21.200 13.174 20.594 18.777 18.323 23.713 18.020 19.837 19.625 25.743 19.231 22.169 31.648 23.925 33.011 17.035 28.392 22.608 25.788 31.800 32.405 17.035 22.487

26.710 16.598 25.947 23.657 23.085 29.877 22.704 24.993 24.726 32.434 24.230 27.931 39.874 30.144 41.591 21.463 35.772 28.484 32.491 40.065 40.828 21.463 28.332

30.575 19.000 29.702 27.081 26.426 34.201 25.989 28.610 28.304 37.127 27.736 31.973 45.645 34.506 47.610 24.569 40.949 32.606 37.193 45.863 46.737 24.569 32.432

38.522 23.939 37.422 34.120 33.294 43.090 32.744 36.046 35.661 46.777 34.945 40.284 57.509 43.475 59.985 30.956 51.593 41.081 46.860 57.784 58.884 30.956 40.861

48.535 30.161 47.149 42.988 41.948 54.290 41.255 45.415 44.930 58.936 44.028 50.754 72.456 54.776 75.576 39.002 65.003 51.759 59.040 72.803 74.190 39.002 51.482

61.151 38.001 59.403 54.162 52.852 68.401 51.978 57.220 56.608 74.254 55.472 63.946 91.289 69.013 95.220 49.139 81.898 65.213 74.385 91.726 93.473 49.139 64.863

111.118 69.052 107.943 98.419 96.038 124.294 94.450 103.975 102.864 134.929 100.800 116.198 165.883 125.405 173.027 89.291 148.819 118.499 135.167 166.677 169.852 89.291 117.865

140.000 87.000 136.000 124.000 121.000 156.600 119.000 131.000 129.600 170.000 127.000 146.400 209.000 158.000 218.000 112.500 187.500 149.300 170.300 210.000 214.000 112.500 148.500

B. Log-normal distribution Variables in a system sometimes follow an exponential relationship as x = exp (w). If the exponent is a random variable, say W, X = exp (W) is a random variable and the distribution of X is of interest. An important special case occurs when W has a normal distribution. In that case, the distribution of X is called a lognormal distribution. The name follows transformation In (X) = W. That is, the natural logarithm of X is normally distributed. (Kreyszig, 2006) Probabilities for x are obtained from the transformation to W, but we need to recognize that the range of X is (0, ∞). Suppose that W is normally distributed with mean θ and variance ω2; then the cumulative distribution function for x is ( )

∫

√

(

in mm where, time t is in hours

)

(Equation II)

Since the random variable X is log normally distributed, then the random variable: (Equation III) is normally distributed. With transformation (Equation IV) Lognormal distribution becomes the standard normal distribution. The frequency factor for lognormal distribution is same as normal distribution except that it is applied to the logarithms of the variables and their mean and standard deviations are used in Where

+ and

Int. J. Sci. Res. in Mathematical and Statistical Sciences Duration in minutes 5 10 15 30 60 120 720 1440

Duration in minutes 5 10 15 30 60 120 720 1440

Duration in minutes

Return period 2 yrs

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Table 5 Estimation of maximum rainfall intensity for various return period For Chikkamangalore Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

11.599 14.614 16.729 21.077 26.555 33.458 60.796 76.599

139.189 87.684 66.915 42.154 26.555 16.729 5.066 3.192

11.857 14.939 17.101 21.545 27.145 34.201 62.148 78.301

142.282 89.632 68.402 43.091 27.145 17.101 5.179 3.263

11.932 15.033 17.209 21.682 27.318 34.418 62.542 78.798

143.184 90.201 68.836 43.364 27.318 17.209 5.212 3.283

11.974 15.087 17.270 21.759 27.414 34.540 62.763 79.076

143.691 90.520 69.079 43.517 27.414 17.270 5.230 3.295

11.988 15.104 17.289 21.783 27.445 34.579 62.834 79.166

143.854 90.622 69.158 43.567 27.445 17.289 5.236 3.299

11.992 15.109 17.296 21.791 27.456 34.592 62.858 79.196

143.908 90.656 69.184 43.583 27.456 17.296 5.238 3.300

11.995 15.112 17.299 21.795 27.461 34.598 62.869 79.210

143.934 90.673 69.196 43.591 27.461 17.299 5.239 3.300

Return period 2 yrs

Table 6 Estimation of maximum rainfall intensity for various return period For Hagare Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

11.540 14.540 16.644 20.970 26.421 33.288 60.489 76.211

138.484 87.240 66.576 41.940 26.421 16.644 5.041 3.175

11.885 14.974 17.141 21.597 27.210 34.283 62.296 78.488

142.622 89.847 68.566 43.194 27.210 17.141 5.191 3.270

11.986 15.102 17.287 21.780 27.442 34.574 62.826 79.156

143.835 90.611 69.149 43.561 27.442 17.287 5.235 3.298

12.043 15.173 17.369 21.884 27.572 34.738 63.124 79.531

144.517 91.040 69.477 43.767 27.572 17.369 5.260 3.314

12.061 15.196 17.396 21.917 27.614 34.791 63.220 79.652

144.737 91.179 69.582 43.834 27.614 17.396 5.268 3.319

12.067 15.204 17.404 21.928 27.628 34.809 63.251 79.692

144.809 91.224 69.617 43.856 27.628 17.404 5.271 3.320

12.070 15.208 17.409 21.933 27.634 34.817 63.267 79.711

144.845 91.247 69.634 43.867 27.634 17.409 5.272 3.321

Return period 2 yrs

Table 7 Estimation of maximum rainfall intensity for various return period For Basavapatna Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

11.183 14.090 16.129 20.322 25.604 32.259 58.618 73.854

134.201 84.541 64.517 40.643 25.604 16.129 4.885 3.077

11.508 14.499 16.598 20.912 26.347 33.195 60.319 75.998

138.097 86.996 66.390 41.823 26.347 16.598 5.027 3.167

11.603 14.619 16.735 21.084 26.565 33.469 60.818 76.626

139.238 87.715 66.939 42.169 26.565 16.735 5.068 3.193

11.657 14.686 16.812 21.182 26.687 33.624 61.098 76.979

139.880 88.119 67.247 42.363 26.687 16.812 5.092 3.207

11.674 14.708 16.837 21.213 26.727 33.673 61.188 77.093

140.087 88.249 67.347 42.426 26.727 16.837 5.099 3.212

11.680 14.715 16.845 21.223 26.740 33.690 61.218 77.130

140.155 88.292 67.379 42.446 26.740 16.845 5.102 3.214

11.682 14.719 16.849 21.228 26.746 33.698 61.233 77.149

140.188 88.313 67.396 42.457 26.746 16.849 5.103 3.215

Return period 2 yrs Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Table 8 Estimation of maximum rainfall intensity for various return period For harangi Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Return period 75 yrs Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Return period 100 yrs Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Int. J. Sci. Res. in Mathematical and Statistical Sciences 5 10 15 30 60 120 720 1440

Duration in minutes 5 10 15 30 60 120 720 1440

Duration in minutes 5 10 15 30 60 120

12.225 15.403 17.632 22.215 27.989 35.263 64.078 80.733

146.702 92.417 70.527 44.429 27.989 17.632 5.340 3.364

Return period 2 yrs

12.629 15.911 18.214 22.948 28.912 36.427 66.193 83.398

151.543 95.467 72.855 45.896 28.912 18.214 5.516 3.475

12.747 16.060 18.385 23.163 29.184 36.769 66.814 84.180

152.965 96.362 73.538 46.326 29.184 18.385 5.568 3.508

Vol. 6(5), Oct 2019, ISSN: 2348-4519 12.814 16.144 18.481 23.284 29.336 36.961 67.163 84.620

153.765 96.866 73.923 46.568 29.336 18.481 5.597 3.526

12.835 16.171 18.512 23.323 29.385 37.023 67.276 84.762

154.023 97.029 74.047 46.646 29.385 18.512 5.606 3.532

Table 9 Estimation of maximum rainfall intensity for various return period For Hallimysore Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

12.842 16.180 18.522 23.336 29.402 37.044 67.313 84.809

154.108 97.082 74.087 46.672 29.402 18.522 5.609 3.534

Return period 75 yrs

12.846 16.185 18.527 23.342 29.410 37.054 67.331 84.832

154.150 97.108 74.108 46.685 29.410 18.527 5.611 3.535

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

11.151 14.049 16.082 20.262 25.529 32.165 58.447 73.638

133.810 84.295 64.329 40.525 25.529 16.082 4.871 3.068

11.382 14.341 16.416 20.683 26.059 32.833 59.661 75.168

136.589 86.046 65.665 41.367 26.059 16.416 4.972 3.132

11.450 14.426 16.514 20.806 26.214 33.027 60.015 75.614

137.399 86.556 66.055 41.612 26.214 16.514 5.001 3.151

11.488 14.474 16.568 20.875 26.301 33.137 60.213 75.864

137.854 86.843 66.273 41.750 26.301 16.568 5.018 3.161

11.500 14.489 16.586 20.897 26.329 33.172 60.277 75.945

138.000 86.935 66.344 41.794 26.329 16.586 5.023 3.164

11.504 14.494 16.592 20.904 26.338 33.183 60.298 75.971

138.048 86.965 66.367 41.809 26.338 16.592 5.025 3.165

11.506 14.497 16.595 20.908 26.342 33.189 60.309 75.984

138.072 86.980 66.378 41.816 26.342 16.595 5.026 3.166

Return period 2 yrs

Table 10 Estimation of maximum rainfall intensity for various return period For Hosakere Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

39.231 49.429 56.582 71.288 89.818 113.163 205.631 259.079

470.777 296.571 226.326 142.577 89.818 56.582 17.136 10.795

40.145 50.580 57.899 72.949 91.910 115.799 210.420 265.113

481.742 303.479 231.597 145.897 91.910 57.899 17.535 11.046

40.412 50.916 58.284 73.433 92.520 116.568 211.818 266.874

484.941 305.495 233.136 146.866 92.520 58.284 17.651 11.120

40.562 51.104 58.500 73.705 92.863 117.000 212.603 267.863

486.738 306.626 234.000 147.411 92.863 58.500 17.717 11.161

40.610 51.165 58.569 73.793 92.973 117.139 212.856 268.181

487.317 306.991 234.278 147.586 92.973 58.569 17.738 11.174

40.626 51.185 58.592 73.822 93.010 117.185 212.939 268.286

487.507 307.111 234.369 147.643 93.010 58.592 17.745 11.179

40.633 51.195 58.604 73.836 93.027 117.207 212.980 268.338

487.601 307.170 234.415 147.672 93.027 58.604 17.748 11.181

Return period 2 yrs

Table 11 Estimation of maximum rainfall intensity for various return period For Hunsur Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

12.009 15.130 17.319 21.821 27.493 34.639

144.103 90.779 69.278 43.642 27.493 17.319

12.393 15.615 17.874 22.520 28.374 35.749

148.720 93.688 71.497 45.040 28.374 17.874

12.506 15.757 18.037 22.725 28.632 36.074

150.075 94.542 72.149 45.451 28.632 18.037

12.570 15.837 18.129 22.841 28.778 36.258

150.837 95.022 72.515 45.682 28.778 18.129

12.590 15.863 18.158 22.878 28.825 36.317

151.083 95.177 72.633 45.756 28.825 18.158

12.597 15.871 18.168 22.890 28.840 36.336

151.164 95.228 72.672 45.781 28.840 18.168

12.600 15.875 18.173 22.896 28.848 36.346

151.204 95.253 72.691 45.793 28.848 18.173

Int. J. Sci. Res. in Mathematical and Statistical Sciences 720 1440

Duration in minutes 5 10 15 30 60 120 720 1440

Duration in minutes

62.943 79.303

5.245 3.304

Return period 2 yrs

64.960 81.844

5.413 3.410

65.551 82.590

5.463 3.441

Vol. 6(5), Oct 2019, ISSN: 2348-4519 65.884 83.009

5.490 3.459

65.992 83.144

5.499 3.464

Table 12 Estimation of maximum rainfall intensity for various return period For Krishnarajpet Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

66.027 83.189

5.502 3.466

Return period 75 yrs

66.044 83.211

5.504 3.467

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

12.168 15.330 17.549 22.110 27.857 35.098 63.777 80.354

146.013 91.983 70.196 44.221 27.857 17.549 5.315 3.348

12.445 15.680 17.949 22.615 28.493 35.899 65.232 82.188

149.345 94.082 71.798 45.230 28.493 17.949 5.436 3.424

12.526 15.782 18.066 22.762 28.678 36.132 65.657 82.723

150.317 94.694 72.265 45.524 28.678 18.066 5.471 3.447

12.572 15.840 18.132 22.845 28.782 36.264 65.895 83.023

150.862 95.038 72.527 45.689 28.782 18.132 5.491 3.459

12.587 15.858 18.153 22.871 28.816 36.306 65.972 83.120

151.038 95.148 72.612 45.743 28.816 18.153 5.498 3.463

12.591 15.864 18.160 22.880 28.827 36.320 65.997 83.151

151.096 95.185 72.640 45.760 28.827 18.160 5.500 3.465

12.594 15.867 18.163 22.884 28.832 36.327 66.010 83.167

151.125 95.203 72.653 45.769 28.832 18.163 5.501 3.465

Return period 2 yrs

Table 13 Estimation of maximum rainfall intensity for various return period For Javali Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

26.219 33.034 37.814 47.643 60.026 75.629 137.426 173.146

314.627 198.203 151.257 95.286 60.026 37.814 11.452 7.214

26.826 33.798 38.690 48.746 61.416 77.379 140.607 177.154

321.909 202.791 154.758 97.491 61.416 38.690 11.717 7.381

27.003 34.022 38.945 49.068 61.821 77.890 141.535 178.323

324.034 204.129 155.780 98.135 61.821 38.945 11.795 7.430

27.102 34.147 39.088 49.248 62.049 78.177 142.056 178.980

325.228 204.881 156.353 98.496 62.049 39.088 11.838 7.457

27.134 34.187 39.135 49.306 62.122 78.269 142.224 179.191

325.612 205.123 156.538 98.613 62.122 39.135 11.852 7.466

27.145 34.200 39.150 49.326 62.146 78.299 142.280 179.261

325.738 205.203 156.599 98.651 62.146 39.150 11.857 7.469

27.150 34.207 39.157 49.335 62.158 78.314 142.307 179.295

325.801 205.242 156.629 98.670 62.158 39.157 11.859 7.471

Return period 2 yrs

Table 14 Estimation of maximum rainfall intensity for various return period For Malalur Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

8.730 10.999 12.591 15.864 19.987 25.182 45.759 57.653

104.761 65.996 50.364 31.727 19.987 12.591 3.813 2.402

8.929 11.250 12.878 16.225 20.443 25.756 46.802 58.967

107.149 67.500 51.512 32.451 20.443 12.878 3.900 2.457

8.987 11.323 12.962 16.331 20.575 25.923 47.106 59.350

107.846 67.939 51.847 32.661 20.575 12.962 3.926 2.473

9.020 11.364 13.009 16.390 20.650 26.017 47.277 59.565

108.237 68.185 52.035 32.780 20.650 13.009 3.940 2.482

9.030 11.377 13.024 16.409 20.674 26.048 47.332 59.634

108.363 68.264 52.095 32.818 20.674 13.024 3.944 2.485

9.034 11.382 13.029 16.415 20.682 26.058 47.350 59.657

108.404 68.291 52.115 32.831 20.682 13.029 3.946 2.486

9.035 11.384 13.031 16.418 20.686 26.063 47.359 59.669

108.425 68.303 52.125 32.837 20.686 13.031 3.947 2.486

Return period 2 yrs

Table 15 Estimation of maximum rainfall intensity for various return period For Mallipatna Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall

Int. J. Sci. Res. in Mathematical and Statistical Sciences

5 10 15 30 60 120 720 1440

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Depth(mm)

Intensity (mm/hr)

Depth(mm)

Intensity (mm/hr)

Depth(mm)

Intensity (mm/hr)

Depth(mm)

Intensity (mm/hr)

Depth(mm)

Intensity (mm/hr)

Depth(mm)

Intensity (mm/hr)

Depth(mm)

11.899 14.992 17.162 21.623 27.243 34.324 62.371 78.582

142.793 89.954 68.648 43.245 27.243 17.162 5.198 3.274

12.133 15.286 17.498 22.046 27.777 34.996 63.593 80.122

145.591 91.717 69.993 44.093 27.777 17.498 5.299 3.338

12.200 15.372 17.596 22.170 27.932 35.192 63.949 80.570

146.406 92.230 70.385 44.340 27.932 17.596 5.329 3.357

12.239 15.420 17.651 22.239 28.019 35.302 64.148 80.822

146.863 92.518 70.604 44.478 28.019 17.651 5.346 3.368

12.251 15.435 17.669 22.261 28.047 35.338 64.213 80.903

147.010 92.611 70.675 44.523 28.047 17.669 5.351 3.371

12.255 15.440 17.675 22.269 28.057 35.349 64.234 80.929

147.058 92.641 70.698 44.537 28.057 17.675 5.353 3.372

12.257 15.443 17.677 22.272 28.061 35.355 64.244 80.943

147.082 92.656 70.710 44.544 28.061 17.677 5.354 3.373

Table 16 Estimation of maximum rainfall intensity for various return period For Melkote Station Duration in minutes 5 10 15 30 60 120 720 1440

Duration in minutes 5 10 15 30 60 120 720 1440

Duration in minutes 5 10 15

Return period 2 yrs

Return period 5 yrs

Return period 10 yrs

Return period 25 yrs

Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

15.047 18.958 21.701 27.342 34.448 43.402 78.867 99.366

180.560 113.746 86.804 54.683 34.448 21.701 6.572 4.140

15.518 19.552 22.381 28.199 35.528 44.763 81.339 102.481

186.219 117.311 89.525 56.397 35.528 22.381 6.778 4.270

15.657 19.726 22.581 28.450 35.845 45.162 82.064 103.394

187.879 118.357 90.323 56.900 35.845 22.581 6.839 4.308

15.734 19.824 22.693 28.591 36.023 45.386 82.472 103.908

188.813 118.945 90.772 57.183 36.023 22.693 6.873 4.329

15.760 19.856 22.729 28.637 36.080 45.458 82.603 104.074

189.114 119.135 90.917 57.274 36.080 22.729 6.884 4.336

15.768 19.866 22.741 28.652 36.099 45.482 82.647 104.128

189.213 119.197 90.964 57.304 36.099 22.741 6.887 4.339

15.772 19.871 22.747 28.659 36.109 45.494 82.668 104.155

189.262 119.228 90.988 57.319 36.109 22.747 6.889 4.340

Return period 2 yrs

Table 17 Estimation of maximum rainfall intensity for various return period For Naladi Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

49.839 62.793 71.881 90.564 114.103 143.761 261.231 329.131

598.069 376.761 287.522 181.128 114.103 71.881 21.769 13.714

51.438 64.808 74.187 93.470 117.765 148.374 269.614 339.692

617.261 388.851 296.748 186.940 117.765 74.187 22.468 14.154

51.908 65.400 74.864 94.323 118.839 149.728 272.074 342.791

622.892 392.398 299.456 188.645 118.839 74.864 22.673 14.283

52.172 65.732 75.245 94.802 119.444 150.489 273.458 344.535

626.061 394.394 300.979 189.605 119.444 75.245 22.788 14.356

52.257 65.840 75.368 94.957 119.638 150.735 273.904 345.097

627.082 395.038 301.470 189.914 119.638 75.368 22.825 14.379

52.285 65.875 75.408 95.008 119.703 150.816 274.050 345.282

627.418 395.249 301.632 190.016 119.703 75.408 22.838 14.387

52.299 65.892 75.428 95.033 119.734 150.856 274.123 345.373

627.584 395.354 301.711 190.066 119.734 75.428 22.844 14.391

Return period 2 yrs

Table 18 Estimation of maximum rainfall intensity for various return period For Talakavery Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

46.283 58.314 66.752

555.401 349.881 267.009

47.600 59.973 68.652

571.205 359.838 274.607

47.986 60.459 69.208

575.833 362.753 276.832

48.203 60.732 69.521

578.434 364.391 278.082

48.273 60.820 69.621

579.272 364.919 278.485

48.296 60.849 69.654

579.548 365.093 278.618

48.307 60.863 69.671

579.684 365.179 278.683

Int. J. Sci. Res. in Mathematical and Statistical Sciences 30 60 120 720 1440

Duration in minutes 5 10 15 30 60 120 720 1440

84.103 105.963 133.505 242.594 305.649

168.205 105.963 66.752 20.216 12.735

Return period 2 yrs

86.496 108.978 137.304 249.497 314.347

172.992 108.978 68.652 20.791 13.098

87.197 109.861 138.416 251.518 316.893

174.393 109.861 69.208 20.960 13.204

Vol. 6(5), Oct 2019, ISSN: 2348-4519

87.590 110.357 139.041 252.655 318.325

175.181 110.357 69.521 21.055 13.264

87.717 110.517 139.243 253.021 318.786

175.435 110.517 69.621 21.085 13.283

Table 19 Estimation of maximum rainfall intensity for various return period For Siddapura Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

87.759 110.570 139.309 253.141 318.938

175.518 110.570 69.654 21.095 13.289

Return period 75 yrs

87.780 110.596 139.342 253.201 319.013

175.560 110.596 69.671 21.100 13.292

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

16.955 21.361 24.453 30.809 38.816 48.906 88.867 111.966

203.455 128.169 97.811 61.617 38.816 24.453 7.406 4.665

17.464 22.003 25.187 31.734 39.982 50.374 91.535 115.327

209.563 132.017 100.748 63.467 39.982 25.187 7.628 4.805

17.613 22.191 25.402 32.005 40.323 50.804 92.317 116.313

211.354 133.145 101.608 64.009 40.323 25.402 7.693 4.846

17.697 22.296 25.523 32.157 40.515 51.046 92.757 116.867

212.360 133.779 102.092 64.314 40.515 25.523 7.730 4.869

17.724 22.331 25.562 32.206 40.577 51.124 92.899 117.045

212.685 133.983 102.248 64.412 40.577 25.562 7.742 4.877

17.733 22.342 25.575 32.222 40.598 51.150 92.945 117.104

212.791 134.051 102.300 64.445 40.598 25.575 7.745 4.879

17.737 22.347 25.581 32.230 40.608 51.162 92.968 117.133

212.844 134.084 102.325 64.461 40.608 25.581 7.747 4.881

Return period 2 yrs

Table 20 Estimation of maximum rainfall intensity for various return period For Srimangala Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

27.980 35.253 40.355 50.844 64.059 80.710 146.659 184.779

335.765 211.519 161.419 101.688 64.059 40.355 12.222 7.699

28.898 36.409 41.678 52.510 66.159 83.355 151.466 190.836

346.771 218.452 166.710 105.021 66.159 41.678 12.622 7.951

29.167 36.748 42.066 53.000 66.775 84.132 152.877 192.614

350.002 220.488 168.263 105.999 66.775 42.066 12.740 8.026

29.318 36.939 42.284 53.275 67.122 84.569 153.672 193.614

351.820 221.633 169.137 106.550 67.122 42.284 12.806 8.067

29.367 37.000 42.355 53.364 67.234 84.710 153.928 193.937

352.406 222.002 169.419 106.727 67.234 42.355 12.827 8.081

29.383 37.021 42.378 53.393 67.271 84.756 154.012 194.043

352.598 222.124 169.512 106.786 67.271 42.378 12.834 8.085

29.391 37.031 42.389 53.407 67.289 84.779 154.053 194.095

352.694 222.184 169.558 106.815 67.289 42.389 12.838 8.087

Return period 2 yrs

Table 21 Estimation of maximum rainfall intensity for various return period For Salagame Station Return period 5 yrs Return period 10 yrs Return period 25 yrs Return period 50 yrs

Return period 75 yrs

Return period 100 yrs

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

Rainfall Intensity (mm/hr)

Rainfall Depth(mm)

12.007 15.128 17.317 21.818 27.489 34.634 62.934 79.292

144.084 90.767 69.268 43.636 27.489 17.317 5.245 3.304

12.412 15.638 17.901 22.554 28.416 35.803 65.058 81.967

148.944 93.829 71.605 45.108 28.416 17.901 5.421 3.415

12.531 15.788 18.073 22.770 28.689 36.146 65.681 82.753

150.372 94.729 72.291 45.541 28.689 18.073 5.473 3.448

12.598 15.872 18.169 22.892 28.842 36.339 66.032 83.195

151.176 95.235 72.678 45.784 28.842 18.169 5.503 3.466

12.620 15.900 18.201 22.931 28.892 36.401 66.145 83.338

151.435 95.398 72.802 45.863 28.892 18.201 5.512 3.472

12.627 15.909 18.211 22.944 28.908 36.422 66.183 83.385

151.520 95.452 72.843 45.888 28.908 18.211 5.515 3.474

12.630 15.913 18.216 22.951 28.916 36.432 66.201 83.408

151.562 95.478 72.864 45.901 28.916 18.216 5.517 3.475

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Figure 3 IDF curves for Arehalli Station

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Figure 4 IDF curves for Arkalgud Station

25 YEARS RETURN PERIOD

Rainfall Intensity mm/hr

1000.000

100.000

10.000

1.000

1 10 100 1000 10000 Duration in minutes y = 552.74x-0.667

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Figure 5 IDF curves for Belagodu Station

Figure 6 IDF curves for Gonibeedu Station

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Figure 7 IDF curves for Hallimysore Station

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Figure 8 IDF curves for Chikkamangalore Station

Figure 9 IDF curves for Hassan Station

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Figure 10 IDF curves for Gorur Station

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Figure 11 IDF curves for Javali Station

Figure 12 IDF curves for Talakavery Station

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Figure 13 IDF curves for Sakaleshpura Station

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Figure 14 IDF curves for Virajpet Station

Figure 15 IDF curves for Salagame Station

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Figure 16 IDF curves for Shantigrama Station

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Figure 17 IDF curves for Poonampet Station

Figure 18 IDF curves for Siddapura Station

Int. J. Sci. Res. in Mathematical and Statistical Sciences

Station Name Arehalli Arkalgud Basavapatna Balagodu Belur Bettadapura Bilur Channenahally Chikkamangalore Doddabemmatti Galibeedu Gonibeedu Gorur Hagare Halekote Hallibailu Hallimysore Harangi Hassan Hosakere Hunsur Javali Kenchammana hoskote Krishnarajpet Kushalnagar Malalur Mallipatna Melkote Naladi Nuggehalli Periyapatna Poonampet Sakleshpura Salagame Shantebachahalli Shantigrama Shravanabelagola Siddapura Srimangala Sukravarashante Talakavery Virajpet Yelawala

Vol. 6(5), Oct 2019, ISSN: 2348-4519

Table 22: IDF equations for all the raingauge stations in the study IDF Equation Y=aX-0.667 where Y is intensity of rainfall, X is the time interval and a is constant Value of constant ‘a’ for different a return period 2years

5years

10years

25years

50years

75years

100years

631.9 415.5 392.4 524.8 467.8 384.1 1057.2 429.8 407.0 309.5 1031.1 731.8 412.5 404.9 409.1 932.4 391.3 429.0 456.5 1376.6 421.4 920.0 584.5 427.0 378.6 306.3 417.3 528.0 1748.8 490.8 394.0 936.4 746.1 421.3 529.3 376.2 508.2 594.9 981.8 867.1 1624.0 892.8 433.5

652.5 428.4 403.8 543.9 483.8 395.1 1098.3 444.3 416.0 316.6 1034.6 757.0 423.4 417.0 424.6 953.7 399.4 443.1 469.1 1408.6 434.9 941.3 600.6 436.7 387.7 313.1 425.7 544.5 1804.9 509.8 403.8 979.8 769.0 435.5 556.3 388.1 528.4 612.8 1014.0 886.7 1670.2 923.4 445.1

658.6 432.1 407.1 549.6 488.6 398.3 1110.7 448.6 418.7 318.7 1061.5 764.5 426.5 420.6 429.2 960.0 401.8 447.3 472.8 1418.0 438.8 942.5 605.3 439.5 396.3 315.3 428.1 549.4 1821.3 515.4 406.6 992.6 775.7 439.7 564.3 391.7 534.3 618.0 1023.5 892.4 1683.7 932.4 448.4

662.0 434.2 409.0 552.7 491.2 400.1 1117.5 451.0 420.2 319.8 1065.3 768.6 428.3 422.6 431.8 963.5 403.1 449.6 474.9 1423.2 441.1 951.0 607.9 441.1 391.8 316.5 429.4 552.1 1830.6 518.6 408.2 999.8 779.5 442.0 568.9 393.7 537.7 621.0 1028.7 895.6 1691.4 937.5 450.3

663.1 434.9 409.6 553.8 492.1 400.7 1119.8 451.8 420.6 320.2 1066.6 770.0 428.9 423.2 432.6 964.6 403.5 450.4 475.5 1424.9 441.8 952.1 608.8 441.6 392.3 316.9 429.9 553.0 1833.6 519.6 408.7 1002.1 780.7 442.8 570.3 394.3 538.8 621.9 1030.4 896.7 1693.8 939.1 451.0

663.4 435.1 409.8 554.1 492.4 400.9 1120.5 452.1 420.8 320.3 1067.0 770.4 429.1 423.4 432.9 965.0 403.7 450.6 475.7 1425.5 442.0 952.5 609.1 441.8 392.4 317.0 430.0 553.3 1834.6 519.9 408.9 1002.9 781.1 443.1 570.8 394.5 539.1 622.2 1031.0 897.0 1694.6 939.7 451.2

663.6 435.3 409.9 554.3 492.5 401.0 1120.8 452.2 420.9 320.4 1067.1 770.6 429.2 423.5 433.0 965.2 403.7 450.7 475.8 1425.8 442.1 952.7 609.2 441.9 392.5 317.0 430.1 553.4 1835.1 520.1 409.0 1003.3 781.3 443.2 571.1 394.6 539.3 622.4 1031.3 897.2 1695.0 939.9 451.3

IV. CONCLUSIONS The present work shows a methodology for the Development of the IDF curves from daily rainfall data. In particular, to obtain durations shorter than 24 hours, LogNormal distribution model of disaggregation was applied to the historical data available for forty three raingauge stations present in the study area. Table 22 shows the equations that can be applied to different raingauge station for different return period. In these equations the value of constant „a‟ is maximum for Naladi station and minimum for Malalur raingauge station, Rainfall intensity is directly dependent on these value and time. There is always a shortage of shortduration rainfall data as it requires automatic rain gauges to record such data. On the contrary, daily rainfall values are © 2019, IJSRMSS All Rights Reserved

generally available due to the use of cheap manual instruments. These IDF equations will help to estimate the rainfall intensity for any specific return period in a short time and more easily. The results computed can be utilized for developing surface drain network for recharging ground water. REFERENCE [1]. Bell F. C., 1969, “Generalized rainfall-durationfrequency relationship”, ASCE J. Hydraulic Eng., 95, 311–327. [2]. Bernard, M. M., (1932), “Formulas for rainfall intensities of long durations”. Trans. ASCE 6:592 - 624. [3]. Bhaskar, N. R.; Parida, B. P.; Nayak, A. K. 1997. Flood Estimation for Ungauged Catchments Using the GIUH.

Int. J. Sci. Res. in Mathematical and Statistical Sciences Journal of Water Resources Planning and Management., ASCE 123(4): 228-238. [4]. Chow V.T., D.R. Maidment and L.W.Mays, 1988, “Applied Hydrology”, McGraw- Hill, Chapter 10 – Probability, Risk and Uncertainty Analysis for Hydrologic and Hydraulic Design: 361 – 398. [5]. M. M. Rashid, 1 S. B. Faruque and 2 J. B. Alam 2012, “Modeling of Short Duration Rainfall Intensity Duration Frequency (SDRIDF) Equation for Sylhet City in Bangladesh. [6]. Mohammed Badiuddin Parvez, M Inayathulla “Generation Of Intensity Duration Frequency Curves For Different Return Period Using Short Duration Rainfall For Manvi Taluk Raichur District Karnataka”, International Research Journal of Engineering and Management Studies (IRJEMS), Volume: 03 Issue: 04 | April 2019. [7]. Mohammed Badiuddin Parvez, M Inayathulla “Prioritization Of Subwatersheds of Cauvery Region Based on Morphometric Analysis Using GIS”, International Journal for Research in Engineering Application & Management (IJREAM), Volume: 05 Issue: 01, April -2019. 4. [8].Mohammed Badiuddin Parvez, M Inayathulla “Modelling of Short Duration Isopluvial Map For Raichur District Karnataka”, International Journal for Science and Advance Research in Technology (IJSART), Volume: 05 Issue: 4, April -2019. [9]. Mohammed Badiuddin Parvez, M Inayathulla, "Rainfall Analysis for Modelling of IDF Curves for Bangalore Rural, Karnataka", International Journal of Scientific Research in Multidisciplinary Studies , Vol.5, Issue.8, pp.114-132, 2019 [10].Mohammed Badiuddin Parvez, and M Inayathulla. "Generation of Short Duration Isohyetal Maps For Raichur District Karnataka" International Journal Of Advance Research And Innovative Ideas In Education Volume 5 Issue 2 2019 Page 3234-3242 [11].Mohammed Badiuddin Parvez, and M Inayathulla. " Derivation Of Intensity Duration Frequency Curves Using Short Duration Rainfall For Yermarus Raingauge Station Raichur District Karnataka" International Journal of Innovative Research in Technology Volume 6 Issue 2 July 2019 Page 1-7 [12].Mohammed Badiuddin Parvez, Chalapathi K and M Inayathulla. " Geomorphological Analysis of Two Mini-Watersheds in Raichur

Vol. 6(5), Oct 2019, ISSN: 2348-4519 City Karnataka" International Research Journal of Engineering and Technology (IRJET) Volume 6 Issue 6 June 2019 Page 28962901

AUTHORS PROFILE Mohammed Badiuddin Parvez Is a life member of Indian Water Resources Society, ASCE Born in Karnataka, India. Obtained his BE in Civil Engineering in the year 2009-2013 from UVCE, Banagalore and M.E with specialization in Water Resources Engineering during 2013-2015 from UVCE, Bangalore University and Pursuing Ph.D from Bangalore University. And has 3 years of teaching experience. Till date, has presented and published several technical papers in many National and International seminars, Journals and conferences. M Inayathulla Is a life member of Environmental and Water Resources Engineering (EWRI), ASCE, WWI, ASTEE, ASFPM. Born in Karnataka, Obtained his BE in Civil Engineering in the year 1987-1991 from UBDT, Davanagere and M.E with specialization on Water Resources Engineering during 1992-1994 from UVCE, Bangalore University and got Doctorate from Bangalore University in the year 1990-1995. Presently working as Professor at UVCE, Bangalore University, India. And has more than 25 years of teaching experience. Till date, has presented and published several technical papers in many National and International seminars and conferences