samples were collected at various downstream locationsover a time interval (Hubbard <strong>and</strong> o<strong>the</strong>rs, 1982).Dye concentration was determined by measuring <strong>the</strong>fluorescence of <strong>the</strong> water samples. At each samplinglocation, a series of samples sufficient to define <strong>the</strong>passage of <strong>the</strong> dye cloud was collected. Stream dischargewas measured at <strong>the</strong> beginning <strong>and</strong> end of eachstudy reach <strong>and</strong> at all tributary inflows in order todefine total stream volume. Travel time of <strong>the</strong> dyecloud was determined by plotting <strong>the</strong> time-concentrationcurves <strong>and</strong> defining times <strong>for</strong> <strong>the</strong> leading edge,peak, trailing edge, <strong>and</strong> centroid of <strong>the</strong> individualcurves.Dye-tracer studies to determine stream time-oftravelwere conducted in <strong>the</strong> Willamette River <strong>and</strong>nine tributaries of <strong>the</strong> Willamette River from April1992 through July 1993 during low- to mediumstreamflowconditions. Results of <strong>the</strong>se studies arepresented in detail in a report by Lee (1995) <strong>for</strong> <strong>the</strong>main-stem Willamette River, Calapooia, South Yamhill,Yamhill, Molalla, Pudding, Tualatin, <strong>and</strong> ClackamasRivers, <strong>and</strong> Amazon, Mill, <strong>and</strong> Johnson Creeks.Locations of <strong>the</strong> various time-of-travel studies areshown in figure 13. An earlier report by Harris (1968)gives time-of-travel study results on <strong>the</strong> Middle, CoastFork, <strong>and</strong> main-stem Willamette Rivers, <strong>the</strong> Middle,South, North, <strong>and</strong> main-stem Santiam River, <strong>and</strong> <strong>the</strong>McKenzie River.Time-of-travel data were used to define <strong>the</strong> low<strong>and</strong>medium-flow range of area-discharge relationsrequired in <strong>the</strong> DAFLOW model. Results of <strong>the</strong>sestudies can also be used to define dispersion rates insolute-transport models. Time-of-travel studies areimportant in underst<strong>and</strong>ing low flows where pools <strong>and</strong>riffles control stream velocities. Channel conveyancecan be determined by a more conventional method—surveying stream cross-sections at selected intervals<strong>and</strong> estimating channel roughness (Manning’s “n”value). However, <strong>the</strong> process of model calibration atlow flows is tedious <strong>and</strong> inconclusive with this technique.The most accurate <strong>and</strong> cost-effective method tocalibrate <strong>the</strong> low-flow component of a routing modelwithin a given reach of channel is to measure <strong>the</strong> traveltime of a dye tracer.Gain-Loss InvestigationsGain-loss investigations are made to define <strong>the</strong>lateral inflow component used in streamflow-routingmodels; however, this in<strong>for</strong>mation has not yet beenfully utilized in <strong>the</strong> models presented in this report.Model algorithms that simulate <strong>the</strong> implied waterexchanges between <strong>the</strong> river <strong>and</strong> river gravels are notyet available. For water-quantity distribution, <strong>the</strong>sefluxes are not particularly important; however, whenwater-quality components are linked to <strong>the</strong> model,<strong>the</strong>ir importance will likely increase.Stream-discharge measurements to determinegains from <strong>and</strong> losses to ground water were made on<strong>the</strong> Willamette River <strong>and</strong> <strong>the</strong> Santiam River at low flowduring August 17–28, 1992, <strong>and</strong> at a snowmelt baseflow during June 21–30, 1993 (fig. 14). The Augustmeasurements on <strong>the</strong> Willamette River were madefrom RM 195.0 at <strong>the</strong> USGS stream-gagingstation at Jasper (14152000) to RM 55.0, just above <strong>the</strong>confluence of <strong>the</strong> Yamhill River <strong>and</strong> above NewbergPool. The August measurements on <strong>the</strong> Santiam Riverwere made from RM 28.5 at Stayton on <strong>the</strong> North SantiamRiver, <strong>and</strong> from RM 7.7 on <strong>the</strong> South SantiamRiver to RM 0.1 at <strong>the</strong> mouth of <strong>the</strong> Santiam River.The June measurements on <strong>the</strong> Willamette River weremade in <strong>the</strong> reach from RM 195.0 to RM 84.0 at <strong>the</strong>stream-gaging station at Salem, where <strong>the</strong>y were discontinueddue to equipment failure. The June measurementson <strong>the</strong> Santiam River were made from RM 9.6 at<strong>the</strong> stream-gaging station at Jefferson (14189000) toRM 0.1 at <strong>the</strong> mouth. The Willamette River from RM84.0 to RM 26.5 below <strong>the</strong> Tualatin River was measuredSeptember 21–22, 1993, to complete <strong>the</strong> reach ofriver that could not be measured in June because ofequipment failure.August measurements were made during a periodof drought, when small tributary inflows to <strong>the</strong> mainstem of <strong>the</strong> Willamette <strong>and</strong> Santiam Rivers werealmost nonexistent <strong>and</strong> water use was high. Measurementswere made with Price AA <strong>and</strong> pygmy mechanicalcurrent meters using techniques as described byRantz (1982). To obtain accuracies within +3 percent,more measurements of point velocities (30–60 pointvelocities were measured ra<strong>the</strong>r than <strong>the</strong> 20–30 pointsnormally measured when making conventional dischargecomputations) <strong>and</strong> more measurements of waterdepth were made <strong>for</strong> each separate computation of discharge.As part of <strong>the</strong> August measurements, a wateruseinventory was conducted on <strong>the</strong> main stem of <strong>the</strong>Willamette <strong>and</strong> Santiam Rivers on <strong>the</strong> same reaches ofriver. The water-use inventory was intended as a synopticmeasurement that would identify relative contributions.No attempt was made to account <strong>for</strong>evaporation from <strong>the</strong> river surface or <strong>for</strong> ground-waterwithdrawals <strong>for</strong> agricultural <strong>and</strong> domestic use.34
June measurements were made after a dry winterfollowed by an unusually wet spring <strong>and</strong> probablyreflect slightly higher than normal base flows <strong>for</strong> earlysummer. An Acoustic Doppler Current Profiler(ADCP) was used to measure discharge in <strong>the</strong> mainstemWillamette River <strong>and</strong> major tributary inflows.The ADCP provided better accuracy (+1.8 percent)than a mechanical current meter <strong>and</strong> <strong>the</strong> capability tomake more measurements in a given time. Doppler<strong>the</strong>ory <strong>and</strong> accuracy is described in a report by Simpson<strong>and</strong> Oltmann (1993). A water-use inventory wasnot made during <strong>the</strong> June measurements because <strong>the</strong>rewas little irrigation during this period. Major municipal<strong>and</strong> industrial users were accounted <strong>for</strong> in all estimatesof gains <strong>and</strong> losses. No attempt was made toaccount <strong>for</strong> evaporation from <strong>the</strong> river surface or <strong>for</strong>ground-water withdrawals <strong>for</strong> agricultural <strong>and</strong> domesticuse.Measurements to determine gains <strong>and</strong> lossesshould be made when <strong>the</strong> flow is steady or nearly so,but this is rarely possible. Arrangements were made inAugust 1992 with <strong>the</strong> USACE <strong>for</strong> steady releases fromreservoirs under <strong>the</strong>ir control; however, no sucharrangements were made with <strong>the</strong> Eugene Water <strong>and</strong>Electric Board (EWEB). In August, <strong>the</strong> EWEB filled<strong>the</strong>ir reservoirs on <strong>the</strong> McKenzie River daily from2200 to 0600, diverting about 300 ft 3 /s. In June, flowwas receding from recent rains <strong>and</strong> continuing snowmelt.In order to compare measured flows made at differentlocations <strong>and</strong> times with a flow that waschanging with time, <strong>the</strong> changing flow, as recorded ata stream-gaging station, was routed to <strong>the</strong> measurementlocation. DAFLOW was used to route a flowhydrograph down <strong>the</strong> main stem. Tributary inflows<strong>and</strong> water-use withdrawals were added or subtractedfrom <strong>the</strong> routed flow, <strong>and</strong> <strong>the</strong> routed discharge was<strong>the</strong>n compared to <strong>the</strong> measured discharge in estimatinga gain or a loss (fig. 14). Differences greater than<strong>the</strong> error of <strong>the</strong> individual measurement <strong>and</strong> any routingerror were considered to be significant. For example,measurements made in August from RM 72.0 toRM 60.0 indicated a loss, but <strong>the</strong> loss was smallerthan <strong>the</strong> estimated accuracy; <strong>the</strong>re<strong>for</strong>e, <strong>the</strong> loss maynot have been real. In contrast, <strong>the</strong> loss at RM 55.0in August of about 300 ft 3 /s was real to within + 120ft 3 /s, <strong>the</strong> measurement accuracy.Gain-loss estimates identified (1) <strong>the</strong> seasonalityof ground-water inflow to <strong>the</strong> main stem <strong>and</strong> (2) <strong>the</strong>magnitude <strong>and</strong> general location of <strong>the</strong> ground- <strong>and</strong>surface-water interactions. Tables in Appendix 4 list<strong>the</strong> locations, measured discharges, <strong>and</strong> gain-lossresults of <strong>the</strong>se measurements. Figure 14 shows <strong>the</strong>measured gains <strong>and</strong> losses <strong>for</strong> two representative,but different flow regimes (summer low flow, <strong>and</strong>spring/early summer base flow) on <strong>the</strong> main stem of <strong>the</strong>Willamette River.Measurements made during <strong>the</strong> drought inAugust indicated very little water contribution from <strong>the</strong>ground-water system between RM 195.0 <strong>and</strong> RM 60.0on <strong>the</strong> Willamette River main stem—an indication that<strong>the</strong> river was contributing to <strong>the</strong> ground-water systemin <strong>the</strong> lower reach between RM 60.0 <strong>and</strong> RM 55.0(fig. 14). All municipal, industrial, <strong>and</strong> agricultural surface-waterwithdrawals from <strong>the</strong> river were accounted<strong>for</strong> in <strong>the</strong> analysis; however, no attempt was made toaccount <strong>for</strong> ground-water withdrawals that would interceptwater naturally flowing to <strong>the</strong> river. It was estimatedthat an average of 100 ft 3 /s was being withdrawnfrom <strong>the</strong> ground-water system in <strong>the</strong> Willamette Valleyduring <strong>the</strong> time of <strong>the</strong> measurements (Broad <strong>and</strong> Collins,1996).Measurements made in June, after an exceptionallywet spring, indicated an approximate 2,000 ft 3 /sground-water contribution from about RM 140.0 nearPeoria to RM 84.0 at Salem (fig. 13). Measurements inSeptember of <strong>the</strong> same year indicated that <strong>the</strong> groundwatercontribution continued from RM 84.0 to RM40.0 (fig. 14). Large increases were noted adjacent to<strong>the</strong> alluvial fans of <strong>the</strong> Santiam <strong>and</strong> Molalla Rivers.The upper main-stem Willamette River is a systemof braided streams with many isl<strong>and</strong>s, sloughs, <strong>and</strong>gravel bars. Gain-loss measurements indicate that substantialhyporheic flow probably occurs between RM195.0 <strong>and</strong> 140.0. The word “hyporheic” means “underriver,” <strong>and</strong> <strong>the</strong> hyporheic zone is defined as <strong>the</strong> subsurfacearea where stream water <strong>and</strong> ground water mix.From a water-quality st<strong>and</strong>point, important chemical<strong>and</strong> biological processes can occur in <strong>the</strong> hyporheiczone. Even though flows were higher during <strong>the</strong> Junemeasurements than during <strong>the</strong> August measurements, abetter flow picture emerges because more measurements<strong>and</strong> more accurate measurements were made inJune (fig. 14). As much as 1,000 ft 3 /s or 15 percent of<strong>the</strong> total river flow can be in <strong>the</strong> hyporheic flow zone.NETWORK-ROUTING APPLICATIONSIn order to model a stream network, an inflowhydrograph at <strong>the</strong> upstream boundary of <strong>the</strong> network35
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