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<br />develop a deeper, more permeable soil zone, some <br />structures are built on the channels which stabilize <br />the gradients and retard the flood flows, This ex- <br />plains in part the smaller increase in the peak dis- <br />charges in the Dallas area compared to Houston. <br /> <br />The watersheds in the Houston region have fla~tcr <br />slopes and the streams have flatter grad~en:s. ~s <br />urbanization progresses, land around the bU.1ld.1ngs .1S <br />filled in and built up and street drainage is developed. <br />The street drainage is discharged into either natural <br />or constructed drainage channels, The larger inc~8~se <br />in the flood peaks may be explained on the basis of a <br />local increase in the relief as concerns the overland <br />flow and a subtle increase in the drainage "':'eilsity <br />accompanying the development of streets and street <br />drainage. Thus the slope is increased on a micro <br />scale in addition to the c.onstruction of a denser <br />drainage network. <br /> <br />Van Sickle (1962) found that the peak discharge <br />of the unit hydro graphs for Brays Bayou at Houstol1 in- <br />creased three times after urbanization had taken place. <br />Utilizing a much more extensive data base, Johnson ffild <br />Sayre (1973) found that complete urbanization increased <br />the magnitude of the 2-year flood by nine times and <br />that the 50-year flood was increased by five times. <br />On the other hand, Dempster (1974) found that the <br />flood discharge increased by 1.35 times for the 2--year <br />flood while the peak discharge for the 50-year flood <br />increased by 1.16 times for a similar increase in the <br />imperviousness of the watershed. The results are not <br />entirely comparable because Brays Bayou is a relatively <br />large watershed and even in 1970, only 18 percent of <br />the watershed was impervious. Some of the smaller <br />watersheds in the region have up to 35 percent imper- <br />vious watersheds (Stoney Brook Street Ditch in Houston, <br />and Turtle, Coombs and Cedar Creek in Dallas). The <br />comparison of the flood runoff in these two.regions <br />does demonstrate the importance of the relatlve con- <br />veyance capacity of the drainage network in the in- <br />crease in the flood peaks for a given recurrence <br />interval; however, imperviousness per se is not the <br />key factor. <br /> <br />Ve.cJtea.6e. in Re6pon6e. T.<.me.. Espey and Winslow <br />(1968) analyzed data obtained from the lIouston network <br />during the period 1964 to 1967. They analyzed data <br />from 17 Houston watersheds of which 6 ""ere rural ""a~er- <br />sheds and 11 were urban watersheds. Espey and Winslow <br />presented a definition of a channelization factor <br />which takes into account relative efficiency of the <br />storm drainage network, Espey's channelization fact~r <br />was proposed as a second coefficient which w~en mult.1- <br />plied by the coefficient in Carter's equatlon for a <br />pristine watershed produced the rise time for the <br />urban watershed: <br /> <br />TR <br /> <br />(L)a b <br />20.S. IS I <br /> <br />where TR is the rise time, <br /> . is Espey's channelization factor, <br /> 1 is the percent of impervious wat ershed, <br /> a is an exponent a 0,29, <br /> b is an exponent b . -0,6. <br /> <br />Channel and StOkm s~~ Netwv~k.-- Espey and <br />Winslow (1968) found that in the Houston watersheds, <br />the channelization factor ~ could have two parts: <br /> <br />· = ., + .2 <br /> <br />The first part, $1' relates to storm sewer-drainage <br /> <br />network, The $1 coefficient should have a constant <br /> <br />value as long as these was no change in the drainage <br />density. The second part of the coefficient, $2' <br /> <br />relates to a part of the channel resistance which may <br />change during the year. Espey and Winslow found that <br />in the Houston region, the growth of vegetation in the <br />drainage channels retarded the flow of water which in- <br />creased the watershed response time. Typical values <br />of the Espey channelization factors are given in <br />Tables 3 and 4. <br /> <br />During the period 1945 to 1949, the Louisville <br />District, U. S. Corps of Engineers made measurements <br />of rainfall and runoff hydrographs in storm drains in <br />Louisville, Kentucky. Six urban watersheds in which <br />the storm runoff was disposed of through stopm sewers <br />provided data from which S-minute unit hydrographs <br />were derived. Eagleson (1962) used these data in an <br />analysis of the unit hydro graph characteristics of <br />urban watersheds. The Louisville watersheds contained <br />a larger proportion of storm sewers when compared with <br />the Texas urban watersheds. Eagleson found that the <br />discharge hydrographs from the smallest watershed <br />(0.096 sq, mi.) were so sensitive to storm rainfall <br />variations over the watershed, that consistent unit <br />hydro graphs could not be real ized. Of the remaining five <br />urban watersheds (varying from 0.22 to 7,52 sq. mi, in <br />size), 27 flood events were used in his data base. <br /> <br />Carter (1961) found that the degree of impervi- <br />ousness of the watershed could be used to define a <br />family of lines which were parallel to similar lines <br />for a natural watershed and he suggested that the pro- <br />cess of urbanization could be quantified on the basis <br />of the percent of imperviousness. Carter proposed an <br />urbanization factor, K . which is computed from the <br />percent of imperviousness in the watershed, I. The <br />use of the impervious factor always had a value great- <br />er than 1,0. In addition the use of this factor also <br />allowed the use of a variable local coefficient to <br />account for those impervious roof areas which drain <br />onto a grassed area and do not result in immediate sur- <br />face runoff. Dempster also used a variation of the same <br />imperviousness factor: <br /> <br />K <br /> <br />0.3 + 0.0045 <br />0.3 <br /> <br />(Carter) <br /> <br />K = 1 <br /> <br />(Dempster) <br /> <br />+ ,015 I . <br /> <br />Carter introduced the term length-slope parameter used <br />by Dempster in the analysis of the Dallas, Texas data. <br />A similar parameter had been used previously by Snyder <br />(1958) and Kirpich (1940), <br /> <br />L <br /> <br />IS <br /> <br />(Carter) <br /> <br />Le <br /> <br />IOn .l.. <br />IS <br /> <br />(Snyder) <br /> <br />7 <br />