Use of Rational and Modified Rational Method for ... - CTR Library

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AUTHOR’S DISCLAIMER The contents of this report reflect the views of the authors who are responsible for the facts and the accuracy of the data presented herein. The contents do not necessarily reflect the official view of policies of the Texas Department of Transportation or the Federal Highway Administration. This report does not constitute a standard, specification, or regulation. PATENT DISCLAIMER There was no invention or discovery conceived or first actually reduced to practice in the course of or under this contract, including any art, method, process, machine, manufacture, design or composition of matter, or any new useful improvement thereof, or any variety of plant which is or may be patentable under the patent laws of the United States of America or any foreign country. ENGINEERING DISCLAIMER This document is not intended for construction, bidding, or permit purposes. TRADE NAMES AND MANUFACTURERS’ NAMES Neither the United States Government nor the State of Texas endorse products or manufacturers. Trade or manufacturers’ names appear herein solely because they are considered essential to the object of this report. v
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Page 2 and 3: NOTICE The United States Government
Page 4 and 5: This page intentionally left blank.
Page 8 and 9: Acknowledgements A project of the m
Page 10 and 11: 4.2 Application of the Modified Rat
Page 12 and 13: List of Figures 2.1 The MRM hydrogr
Page 14 and 15: D.5 Modeled and observed peak disch
Page 16 and 17: The modified rational method extend
Page 18 and 19: 2. Technical Aspects of the Rationa
Page 20 and 21: unoff, with a negligible amount of
Page 22 and 23: 2.1.4. Summary and Important Implic
Page 24 and 25: If the storm duration is equal to t
Page 26 and 27: Figure 2.4: The instantaneous unit
Page 28 and 29: the ratio of peak rate of runoff to
Page 30 and 31: in these cases strictly converts th
Page 32 and 33: 3. A Proposed Unified Rational Meth
Page 34 and 35: with the middle of the C-value rang
Page 36 and 37: 10. The intercepts of β and expone
Page 38 and 39: Limits of the Unified Rational Meth
Page 40 and 41: T ⋆ as a “travel time” is ten
Page 42 and 43: 5. Determine IU ⋆ using T L ⋆ b
Page 44 and 45: Table 3.1: Countywide values of mea
Page 46 and 47: Table 3.1: Countywide values of mea
Page 48 and 49: Table 3.2: Countywide values of sca
Page 56 and 57:
Table 3.3: Countywide values of exp
Page 58 and 59:
Page 60 and 61:
Page 62 and 63:
Page 64 and 65:
Table 3.4: Countywide values expone
Page 66 and 67:
Table 3.4: Countywide values expone
Page 68 and 69:
Table 3.5: Comparison of annual pea
Page 70 and 71:
LATITUDE, IN DEGRESS 26 30 34 2−y
Page 72 and 73:
PEAK DISCHARGE, IN CFS 0 5 10 15 20
Page 74 and 75:
Figure 4.1: Subdivision X Drainage
Page 76 and 77:
Figure 4.2: Depth-Duration diagram
Page 78 and 79:
coefficient C as in Equation 4.1. W
Page 80 and 81:
(Row 27) and the excess rainfall in
Page 82 and 83:
Figure 4.6: Modified rational metho
Page 84 and 85:
Figure 4.8: Modified rational metho
Page 86 and 87:
this report to estimate T ∗ . Wit
Page 88 and 89:
5. Summary and Conclusions This sec
Page 90 and 91:
coefficients entirely). The method
Page 92 and 93:
Bibliography Akan, A. O. (2002). Mo
Page 94 and 95:
FHWA (1983). Urban Highway Storm Dr
Page 96 and 97:
Roussel, M. C., D. B. Thompson, X.
Page 98 and 99:
A. Literature Review The rational m
Page 100 and 101:
Intensity (in/hr) 0 1 2 3 4 5 0 20
Page 102 and 103:
storms with durations greater than
Page 104 and 105:
The intent is to estimate the disch
Page 106 and 107:
Figure A.3: Modified Rational Formu
Page 108 and 109:
where L is a characteristic length
Page 110 and 111:
Table A.1: Rational method runoff c
Page 112 and 113:
Table A.1: Rational method runoff c
Page 114 and 115:
Figure A.4: Runoff Coefficients for
Page 116 and 117:
B. Basin Development Factor The bas
Page 118 and 119:
3. Storm drains, or storm sewers
Page 120 and 121:
C. The iPar Program and Parsing of
Page 122 and 123:
The values for C can not be decoupl
Page 124 and 125:
Figure C.2: Screenshot of custom-bu
Page 126 and 127:
Figure C.3: Screenshot of output fo
Page 128 and 129:
logSrhs 0.26969 0.04056 6.650 3.44e
Page 130 and 131:
hook operator provides a compact no
Page 132 and 133:
20 MEDIAN TIME-R (LAG TIME), IN HOU
Page 134 and 135:
1 0.9 0.8 0.7 MEDIAN CR 0.6 0.5 0.4
Page 136 and 137:
# print ( DDF .at.F); # print ( IDF
Page 138 and 139:
the .I
Page 140 and 141:
eturn ( get (x, COUNTY_NAMES ))), M
Page 142 and 143:
mycol25
Page 144 and 145:
D. Modified Rational Method The pur
Page 146 and 147:
100.0 Cumulative Distribution (%) 8
Page 148 and 149:
10000 Modeled Q p (cfs) 1000 100 1:
Page 150 and 151:
10000 Modeled Q p (cfs) 1000 100 1:
Page 152 and 153:
where A is the drainage area in squ
Page 154 and 155:
500 Station: 08048550 DryBranch For
Page 156 and 157:
10000 MRM Gamma 1:1 line Modeled Q
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