Question

2. Results obtained from a double ring infiltrometer test for a soil are given below. Determine the parameters for i) Horton's infiltration model ii) Philip's two-term infiltration model 5 10 15 25 75 90 110 130 Time since start (minutes) Cumulative infiltration (mm) 25 45 60 50.0 70.2 13.7 25.2 34.9 79.9 87.4 93.8 101.3 108.4

Answer 1

XUS - MI Book1 - Excel (Product Activation Failed) ? FILE HOME INSERT PAGE LAYOUT FORMULAS DATA REVIEW VIEW DEVELOPER AKASH PANDEY . B25 х fi А B C D E F G H - J K L M N O P Q R 2 3 Horton's Infiltration Model: 4 10 5 Incremental Infiltration In(fp- Depth in the Rate(mm/hr fc), where Interval(mm) fp fc=21.3 mm/hr Time(hr) 0 Time minute s) 0 5 Cum.Depth(mm) 0.5 1 1.5 2 2.5 6 -5 7 5 13.7 164.4 -10 8 10 138 11.5 9.7 9 13.7 25.2 34.9 50 70.2 15 116.4 4.963543687 0.083333 4.759606539 0.166667 4.55492897 0.25 4.238444906 0.416667 3.671224519 0.75 -15 10 25 15.1 90.6 -20 45 20.2 9.7 60.6 38.8 12 60 79.9 -25 13 75 87.4 30 -30 14 90 93.8 25.6 7.5 6.4 7.5 7.1 2.862200881 1 2.163323026 1.25 1.458615023 1.5 0.182321557 1.833333 -31.32515452 2.166667 15 110 -35 101.3 108.4 22.5 21.3 16 130 17 18 The equation of line is: In(fp-fc)=In(fp-fo)-kh*t here intercept on In(fp-fc)axis is: 5 and slope of best fit is -2.6278 19 20 21 22 23 Thus-Kh=-2.6278, so kh=2.6278 h^-1 And In(fo-fc)=5, 169.7131591 mm/hr so for 24 25 26 Sheet1 Sheet2 + READY 6 + 100% 00:46 * o e W Ax. ) ENG 16-06-2020

XJ 5 rin Book1 - Excel (Product Activation Failed) ? FILE HOME INSERT PAGE LAYOUT FORMULAS DATA REVIEW VIEW DEVELOPER AKASH PANDEY - C17 The equation of best fit is fp=s*t^-0.5+k y A B с D E F G H - K M N O P Q R S T U 1 2 Philip's two term infiltration model: 3 180 160 4 5 140 6 120 7 Incremen tal Depth Infiltratio In the n Time(mi Cum.Dep Intervall Rate(mm nutes) th(mm) mm) /hr) fp Time(hr) t^-0.5 0 5 13.7 13.7 164.4 0.083333 3.464102 10 25.2 11.5 138 0.166667 2.44949 15 34.9 9.7 116.4 0.25 2 25 50 15.1 90.6 0.416667 1.549193 45 70.2 20.2 60.6 0.75 1.154701 60 79.9 9.7 38.8 1 1 75 87.4 7.5 30 1.25 0.894427 90 93.8 6.4 25.6 1.5 0.816497 110 101.3 7.5 22.5 1.833333 0.738549 130 108.4 7.1 21.3 2.166667 0.679366 100 9 80 10 11 60 12 40 13 14 20 15 0 16 17| 0 0.5 1 1.5 2 2.5 3 3.5 4 The equailion of best fit is fp=s*t^-0.5+k 18 19 Here su k= 71.146mm/hr-1.5 0.48 mm/hr 20 21 22 23 Sheet1 Sheet2 + READY 6 + 100% * o e W р 8 Ax. ) ENG 00:44 16-06-2020