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E-<strong>International</strong> <strong>Scientific</strong> <strong>Research</strong> Journal<br />

ISSN: 2094-1749 Volume: 3 Issue: 2, 2011<br />

(57 %), 24 stream orders have a value between 1 and 2 Km for first order streams and for o<strong>the</strong>rs<br />

Lu given in Table 2.<br />

Drainage density (Dd): Drainage density (Dd) is <strong>the</strong> total length of <strong>the</strong> stream in a given<br />

drainage basin divided by <strong>the</strong> area of drainage basin (Horton, 1932).<br />

Dd= ∑L/A,<br />

W<strong>here</strong> ∑L- total length of <strong>the</strong> stream,<br />

A- Area of drainage basin.<br />

Table 2 depicts <strong>the</strong> distribution of third order basins under different drainage density groups. The<br />

Dd value of DRB is 1.82 Km/km 2 . The study of TOSBs revealed that average Dd is 2.67 km/km 2<br />

and it varies in between 1.47 km/km 2 to 7.88 km/km 2 (Table-2). The highest Dd is for <strong>the</strong> TOSB<br />

15, 16, 20, and 22. With a value of 7.37, 7.42, 6.76, 7.88 respectively is situated nearest to <strong>the</strong><br />

highest rainfall occurring region such as Ghughukhan ,Maniya and Binayak. The TOSB 10 with<br />

lowest Dd value with 1.44, nearer to <strong>the</strong> lowest rainfall occurring region such as Fa<strong>the</strong>hpur. The<br />

Table 3 reveals <strong>the</strong> relationship between rainfall and Dd. At present Ghughukhan rain gauge<br />

station records highest rainfall.<br />

The Dd generally increases with rainfall (R)<br />

Thus Dd ∞ R<br />

Dd= KXR<br />

Dd/R = K, w<strong>here</strong> K is a constant and its value is always less than one<br />

The Dd and R studies reveal that Dd controls runoff following a particular period of<br />

precipitation and <strong>the</strong> increasing Dd shows increasing size of mean annual flood.<br />

Table 3: Relation of rainfall and drainage density (Dd)<br />

Code<br />

of<br />

TOS<br />

B<br />

Dd Nearest<br />

Rain Gauge<br />

Annual<br />

mean<br />

Rainfall<br />

(mm)<br />

22 7.88 Ghughukhan 2749.80<br />

13 3.16 Maniya 2357.10<br />

10 1.47 Aniya 854.06<br />

Data<br />

Recorded<br />

5Year (2005-<br />

2010)<br />

5Year, (2005-<br />

2010)<br />

5Year, (2005-<br />

2010)<br />

Stream frequency (Df): It is <strong>the</strong> number of stream segments per unit area (Horton, 1932, 1945).<br />

The stream frequency, Df = ∑N/A, w<strong>here</strong> N is <strong>the</strong> number of stream segments and A denotes <strong>the</strong><br />

drainage area. The average Df for DRB is 2.45. The lowest Df value is for <strong>the</strong> TOSB 8 with a<br />

value of 8.67 and <strong>the</strong> highest for <strong>the</strong> TOSB 20 with a value of 18.82. The frequency value wise<br />

numbers of TOSBs are tabulated (Table 2)..<br />

Relation between Drainage Density and Frequency: The relation of Dd and Df revealed that<br />

<strong>the</strong> Df is directly proportional to Dd (Table 4) Thus drainage frequency is double <strong>the</strong> value of<br />

drainage density and its variation occurs due to rainfall, relief, infiltration rate, and initial<br />

resistivity of terrain to erosion, total drainage area of <strong>the</strong> basin and above all <strong>the</strong> Dd of <strong>the</strong> basin<br />

80

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