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<br />Iii".. <br /> <br />420 BIOLOGICAL REroRT 19 <br /> <br /> <br />available, and computational river hydraulics is <br />cursed by the lack of any consensus as to which of <br />them is most appropriate as a general predictor. <br />Order-of-magnitude differences in predicted trans- <br />port rates are not uncommon, see for example <br />Vanoni (1975). <br />The suspended-load source term, as well as <br />bed-sediment relations, become enormously more <br />complicated when cohesive sediments are dealt <br />with. <br />The interested reader is referred to Holly et al. <br />(1990) or Fan (1988) for more background on the <br />equations used and numerical methods employed <br />for their solution. For the f\tissouri River appijca- <br />tion described in the next section, an implicit <br />fInite-difference technique is used for all but the <br />advection-diffusion equation, which is solved by <br />the method of characteristics. <br /> <br /> <br />Missouri River Example <br /> <br />As discussed by Sayre and Kennedy (1978), the <br />Missouri River reach between Gavins Point Dam <br />and Blair, Nebraska, has experienced severe deg- <br />radation in the past 50 years. The bed level has <br />lowered more than 2 m near Sioux City, Iowa, <br />potentially compromising the structural integrity <br />of bridge-pier foundations, reducing the effIciency <br />of power-plant cooling-water intakes, and consid- <br />erably changing the natural habitat through in- <br />creased velocities, lowering of oxbow lake levels, <br />and decrease in vegetative cover. This degradation <br />seems to be the river's response to a series of <br />interventions by man: (1) reduction of the sedi- <br />ment load entering the reach below Gavins Point <br />Dam through closure of upstream dams, (2) regu- <br />larization of annual flood hydrographs through <br />storage and release cycles in upstream reservoirs, <br />and (3) channelization of the river through spur- <br />dike and artificial-cutoff construction, to form a <br />reliable navigation channel and to reclaim flooded <br />lands along the river. <br />Whatever the benefits accruing from these inter- <br />ventions, there also have been structural and envi- <br />ronmental costs that may not have been foreseen <br />when river engineering began in earnest in the <br />early part of this century. Concerned with the pos- <br />sible future course of the river's continuing re- <br />sponse to these interventions, the U.S. Army Corps <br />of Engineers has been carefully monitoring the <br />progress of the degradation and has conducted nu- <br />merical modelling efforts to better understand it. <br /> <br /> <br /> <br />In 1981 the Omaha District of the U.S. Army <br />Corps of Engineers commissioned the Iowa insti- <br />tute of Hydraulic Research to construct a numeri- <br />cal mobile-bed model of the degrading reach ofthe <br />Missouri River, with two objectives: identify the <br />root cause of the degradation, if possible, and <br />forecast the future course of the degradation. <br />The fIrst-generation mobile-bed simulation code <br />IALLUVIAL was developed for this study (Holly <br />and Karim 1986). The CHARlMA code, whose <br />equations are outlined above, is a third-generation <br />descendant of IALLUVIAL (Holly et al. 1990). Re- <br />sults presented further on were obtained using the <br />earlier IAILUVlALcode, but have been repro- <br />duced using CHARlMA. <br />The study reach is shown in Fig. 2. The compu- <br />tational model extends from Gavins Point Dam <br />some 505 river kilometers (rkm) down to Rulo, <br />Nebraska. Nine tributaries, including the Platte <br />River, are represented as local water and sedi- <br />ment inflows. The upstream boundary condition <br />of the model is water and sediment inflow through <br />Gavins Point Dam; the downstream boundary <br />condition is the stage-discharge rating curve at <br />Rulo. The initial channel cross sections are those <br />reported by the U.S. Army Corps of Engineers, <br />representing the natural channel in 1960 from <br />Gavins Point Dam to Ponca State Park, and the <br />channelized sections (roughly rectangular, with a <br />180-m width) as of 1960 for the remainder ofthe <br />model. The initial bed-sediment distributions are <br />from U.S. Army Corps of Engineers measure- <br />ments. It should be noted that the natural reach <br />above Ponca State Park had already been sub- <br />jected to at least 5 years of effect from the previous <br />closure of Fort Randall and Gavins Point dams. <br />In an initial calibration and verifIcation mode, <br />the model was run for the 1960-80 period in a <br />postdictive simulation. The simulation adopted <br />repeated annual inflow hydrographs typical of the <br />release schedules from Gavins Point Dam and of <br />tributary springtime flooding. Figure 3 shows lon- <br />gitudinal profIles of bed level and water-surface <br />elevation resulting from this simulation from <br />Gavins Point Dam to Omaha, with the observed <br />changes in water-surface elevation shown for com- <br />parison. The model captured the major features of <br />the river's response, including the relative inac- <br />tivity of its channel downstream of Omaha. The <br />only calibration that was done, other than use of <br />the Total Load Transport Model (TLTM) trans- <br />port predictor that is known to be appropriate for <br />this stretch of the Missouri River (Karim and <br />