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# Analysis of a streams discharge.

Extracts from this document...

Introduction

Analysis 1). The streams discharge increases downstream. Discharge 0.01 0.04 0.04 0.04 0.06 0.05 0.19 0.1 0.2 0.17 0.18 0.13 0.26 0.34 0.15 0.33 There is a weak positive correlation in the discharge. As the stream moves downstream the discharge increases according to the results. There are a few anomalous points making it a weak positive correlation. This proves my hypothesis. 2). The streams width increases downstream. Width 1.8 2.7 2.5 3.01 3.1 3.39 4.9 4.95 7 5.13 4.6 7.24 6.8 6.87 7.3 8.1 There is a strong positive correlation between the width and the stream downstream. The streams width increases downstream according the results and the graph proving my hypothesis. 3). Hydraulic radius will increase downstream. Hydraulic radius 0.03 0.15 0.06 0.1 0.09 0.08 0.15 0.15 0.11 0.1 0.12 0.11 0.19 0.19 0.19 0.33 There is a weak positive correlation between the stream downstream and the hydraulic radius. The streams hydraulic radius increases downstream proving my hypothesis. 4). The velocity will decrease downstream. Mean velocity 0.07 0.09 0.19 0.1 0.19 0.16 0.2 0.12 0.31 0.27 0.26 0.15 0.2 0.27 0.09 0.12 There is no correlation on the graph as there are too many anomalous points on the graph, this is because rocks affected the measurements but there is a correlation as the velocity increases downstream according to the results, which disagrees with my hypothesis. ...read more.

Middle

10 -7 49 14 0.34 1 2 13 -12 144 15 0.15 8 4 9 -1 1 16 0.33 2 19 1 1 1 Total 908.5 R=1-6?d2 N3 - N R=1-6*908.5 4096-16 R=1-5451 4080 R=1-1.3360 R=-0.336 Our r-value of -0.336 suggests a weak negative correlation between the gradient and the discharge. 2). There is a positive relationship between the velocity and the gradient. Mean velocity 0.07 0.09 0.19 0.1 0.19 0.16 0.2 0.12 0.31 0.27 0.26 0.15 0.2 0.27 0.09 0.12 Gradient 7 15 2 12 5 10 2 5 2 9 0 2 3 2 4 10 There is a negative relationship between the velocity and the gradient, which disagrees with my hypothesis. This is because at the upper course the gradient is steep but there is a small volume of water meaning that there is a low velocity but as the stream moves downstream there is a lower gradient and there is more erosion so the width increases making the velocity increase. Spearman's r test Station no. Velocity Rank A Gradient Rank B D A-B D2 1 0.07 16 7 6 10 100 2 0.09 14.5 15 2 12.5 156.25 3 0.19 7.5 2 13 -5.5 30.25 4 0.1 13 12 3 10 100 5 0.19 7.5 5 7.5 0 0 6 0.16 9 10 4 5 25 7 0.2 5.5 2 13 7.5 56.25 8 0.12 11.5 5 7.5 4 16 9 0.31 1 2 ...read more.

Conclusion

Calibre of load 72 170 189 153 102.5 69 300 203.5 128 130 164.5 130 88.3 106 107 188 Hydraulic radius 0.03 0.15 0.06 0.1 0.09 0.08 0.15 0.15 0.11 0.1 0.12 0.11 0.19 0.19 0.19 0.33 There is a positive correlation between the calibre of the load and the hydraulic radius. This disagrees with my hypothesis. This is because as the decrease in velocity causes the river to deposit its load further downstream than upstream. The hydraulic radius increases because there is a larger amount of water so the rivers width increases the hydraulic radius. Spearman's r test station no. hydraulic rank A calibre rank B d A-B D2 1 0.03 16 72 15 1 1 2 0.15 7 170 5 2 4 3 0.06 15 189 3 12 144 4 0.1 12.5 153 7 5.5 30.25 5 0.09 14 102.5 13 1 1 6 0 1 69 16 -15 225 7 0.15 7 300 1 6 36 8 0.15 7 203.5 2 5 25 9 0.11 10.5 128 10 0.5 0.25 10 0.1 12.5 130 8.5 4 16 11 0.12 9 164.5 6 3 9 12 0.11 10.5 130 8.5 2 4 13 0.19 4 88.3 14 -10 100 14 0.19 4 106 12 -8 64 15 0.19 4 107 11 -7 49 16 0.33 2 188 4 -2 4 total 712.5 R=1-6?d2 N3 - N R=1-6*712.5 4096-16 R=1-4725 4080 R=1-1.158 R=-0.158 There is a weak negative relationship between the hydraulic radius and the calibre of the load. ...read more.

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