1d89f0f6-956d-44a2-aaec-33139e67e342 291 4 5 decimal

Examples: APPLIED HYDROLOGY - Chow, Maidment & Mays - Page 219 / 217

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1 - Ex 7.5.1: Direct runoff and Streamflow Hydrographs: from given Unit Hydrograph & Rainfall

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1 (a): DATA

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User defined unit cfs ft 3^s / :

Catchment Area Ar 7.03 mi 2^* :

Time interval ΔT 0.5 hr * :

Baseflow BF 500 cfs * :

Rainfall P 23100000000111 mat in * :

UH ordinates U 404107923432506146045338127417300111 mat cfs in / * :

Discreet convolution equation

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1 (b): CALCULATIONS

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1st element P m el U n m - 1 + el * (m 1 n 1 : sum cfs 808

P 1 el U 1 el * cfs 808

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2nd element P m el U n m - 1 + el * (m 1 n 2 : sum cfs 3370

P 2 el U 1 el * P 1 el U 2 el * + cfs 3370

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3rd element P m el U n m - 1 + el * (m 1 n 3 : sum cfs 8327

P 3 el U 1 el * P 2 el U 2 el * + P 1 el U 3 el * + cfs 8327

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Apply convolution equation 
for whole data set j 1 U rows range Q j el P m el U n m - 1 + el * (m 1 n j : sum : for Q 21 line

Last element P m el U n m - 1 + el * (m 1 n U rows : sum cfs 173

j Clear 1

Add Base Flow to 
get Stream flow Q BF + cfs 130838708827136201328182924081264420491293673111 mat

Direct runoff Q cfs 8083370832713120127817792358121441549793173111 mat

Q max cfs 13120

Q sum cfs 54438

Check for 
rainfall depth Q sum ΔT * Ar / in 6

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P sum in 6

Alternatively j 1 P rows range QQ j el P 1 j range el U j 1 range el * : 11 line for

P 11 range el U 11 range el * cfs 808

P 1 j 1 - (range el U j 1 - (1 range el * cfs 793

P 12 range el U 21 range el * cfs 3370

P 1 j range el U j 1 range el * cfs 173

QQ cfs 8083370832713120127817792358121441549793173111 mat

Q cfs 8083370832713120127817792358121441549793173111 mat

P 1 j range el in 23100000000111 mat

U j 1 range el cfs in / 001732743814531460250623431079404111 mat

U cfs in / 404107923432506146045338127417300111 mat

j Clear 1

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2 - Ex 7.4.2 Unit hydrograph derivation: from excess rainfall hyetograph and direct runoff

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2.(a): DATA

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Direct runoff Q1 428192352979131106257834392118461402830313111 mat cfs * :

Excess Rainfall P1 1.06 1.93 1.81 00000000111 mat in * :

2.(b): CALCULATIONS

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j 1 Q1 rows range U1 j el Q1 j el P1 j el / : j 1 ≡ U1 j el Q1 j el P1 m el U1 n m - 1 + el * (m 2 n j : sum - P1 1 el / : cases for U1 21 line

U1 cfs in / 404107923432505146145338027617112111 mat

Total Vol of Rainfall U1 ΔT * (sum ft 3^in / 2107^*

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Check for unit depth d1 U1 ΔT * (sum Ar / : 1.000

j Clear 1

vx vy char size clr plotG n vx length : plot vx 1 el vy 1 el char size clr augment : i 2 n range plot plot vx i el vy i el char size clr augment stack : for plot 41 line :

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

x β f β 1 el β 2 el β 3 el / * β 3 el x β 4 el + / (β 2 el 1 +^* β 3 el x β 4 el + / (β 2 el^- exp * :

β 874049506677 6673.5 41 mat :

XY 1404210793234342505514616453738082769171101112112 mat :

X XY 1 col : Y XY 2 col : 21 line

XY 0.125 BarSize x β f 2 1 sys

Absolute residuals Residuals i 1 XY rows range Δ i el Y i el X i el β f - eval : for X Δ augment 21 line :

Residuals 1 334.1092 2 137.1302 3 138.1483 4 262.4468 5 72.5265 - 6 415.0229 - 7 69.0323 - 8 53.4529 9 62.9245 10 50.981 - 11 22.8881 - 112 mat

Residuals 0.125 BarSize 0 2 1 sys