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<br />0. () 2 \1 ~l1 <br /> <br />a s11L1l1 quantity of sedimem over a period of years. The <br />very largest disch:ltges transpon sediment at an e~ceed. <br />ingly high rate. however. they occur so infrequently. <br />perhaps only a few hours per century. thar they carry only <br />. a small ponion of the to[31 quantity of sediment transponed <br />over a long period of time. The most effCl:tive sediment <br />transponing disch:ltges over a period of years are those <br />which transpon sediment at a moderately high rate and <br />occur as frequently as a few days per YeM. <br />The specific shape and characteristics of the sediment <br />transpon function. A. and the frequency of discharges. B. <br />vary greatly from river to river. Thus. the range and <br />occU1Tence of the most effective sediment transponing <br />discharges also vary greatly from one river to another. At <br />one extreme are Illose rivers which catTY some sediment ar <br />even the smallest discharge and do not have a panicu!arly <br />wide range of floods. In such streams. effective discharges <br />may oCCUr for several weeks to perhaps mouths per year. <br />At the other extreme are those rivers where only relatively <br />rare, extreme /loads are sufficient to move Ille available <br />sediment partide sizes. In such Streams, the range of <br />effective sediment transponing discharges may occur only <br />a few days per century. <br />The Wolman-Miller model for magnitude and frequency <br />of effective sediment transpOrt discharges has been <br />evaluated by numerous investigatioll5, [Pickup and Warner. <br />1976, Baker, 1977, Wolman and Gerson, 1978. Newson, <br />1980, and Miller. 1990]. Ntllh [1994] fOWld 138 citations <br />to Ille original paper between 1960 and 1990. The vast <br />majority of Ille insunces wbere the model has been <br />evaluated using field measurements have conSidered only <br />suspended sediment transpon. Measured suspended <br />sediment conoentration, in some C3Ses collected daily, are <br />available for sevet'll gaging sutioll5 in the United States <br />over periods of as long as 40 years. These comparisons <br />typically agreed quite well with the model. There is a well- <br />defIDed range of relatively frequent discharges which <br />tran5pOn most of the suspended sediment over a period of <br />years. Furthermore, Ille duration of the effeaive discharge <br />commonly varies from several days per year to perbaps <br />one day in several years. [see Wolman and Miller, 1960, <br />and Pickup and Warner, 1976]. <br />Evaluations of streamflow magnitude and frequency <br />based upon suspended sediment tI1lD.<pon consider 90 <br />percent or more of the sediment tran.sported out of a <br />drninage basin and, thus. are prohably a good approxima- <br />tion of the effe<;tive discharges for watersbed denudation. <br />Such evaluations. however. are not appropriate tests for the <br />second hypothesis of the Wolman-Miller model. namely <br />that the effective discharges are Ille cbanneHorming <br />discharge. because most of the suspended sediment is fmer <br /> <br />vOOd <br /> <br />0991 86v 0"6:131 <br /> <br />ANDREWS AND NANKERVIS 153 <br /> <br />than the materi31 composing river bed and banks. This <br />distinction is especially significant for gravel-bed rivers <br />where clay, silt, and fine sand eommonly represent 90 <br />percent of the total sediment load and are transponed in <br />suspension even at relatively s11L1l1 discharges, whereas thc <br />river bed and banks consist of much coarser sized panieles <br />that may only be transponed by flows equalled or exceeded <br />a rew days or less per year. <br />Analysis of bed-material transpon magnitude and <br />frequency in gravel.bed riven; has been limited due to <br />substantial uncenainty in the transport rate at a speciflc <br />discharge. Extensive bedload transpon measurements bave <br />been made at relatively few sites, approximately 10, in <br />North America, and then only for a period of a few years <br />to at most a decade or so. [Milhous, 1973, Leopold and <br />Emmerr. 1976. Jones and Seirz:. 1980, and Andrews, 1994]. <br />Thus, one must rely upon establishing a relation between <br />flow and bedload transpon rate, which can then be applied <br />over a longer period of reoorded discharges. For some of <br />the bedload measurement sites, however. the period of <br />record for discharges are insufficient to adequately defme <br />Ille frequeney of moderately large to extreme flows. Given <br />the very large oommitment of funds and time needed to <br />measure bedload transpon rates in a gravel-bed river over <br />a wide range of relatively large discharges, it is improbable <br />Illat there will be a significant number of sites wbere the <br />magnitude and frequency of measured bedload rranspon <br />will be determined solely from measurements. <br />Accordingly, the analysis of bedload transpon magnirude <br />and frequency must rely, to a substantial degree, upon <br />calculated transpOrt rates at stre3Illflow gaging stations with <br />long periods of reoord. This is the approach taken by the <br />investigation described herein. The approacb depends upon <br />Ille ability to predia these bedload tnlDspon rates in gravel- <br />bed rivers 10 a reasonable degree of acctU3CY. <br />The primary objective of this study is to formulate a <br />regime of streamflows sufficient to maintain the existing <br />bankfull channel for a given quantity and panicle size <br />distribution of sediment supplied to the cbatlllel. The <br />approach is to analyze the lD3gnirude and frequency of bed- <br />materialtranspon in gravel-bed riven; Illat are typieal of <br />the western United States, and determine wbether the <br />bankfull channel is related to the range of effective <br />transponing discharges. This approach is, in fact, an <br />evaluation of the Wolman-Miller hypotheses as they apply <br />to gravel-bed rivers. A seoond objective concerns only Ille <br />bankfull discbarge, Le. the conveyance of the naturally <br />formed cbannel. In many, perbaps most instances, other <br />channel anrlbu!es, e.g. channel sinuosity or relative pnol <br />depth, also may suppon significant or essential r050=5. <br />Maintaining a given bankfull channel by providing the <br /> <br />3JI^~3S lS3~Od vosn <br /> <br />H: 11 1031.11 L6 .d -d3S <br />