Two-dimensional relaxation method flow model (RMFM) for hydraulic structures
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Geology topics
Publications and source records attributed to B.L. Neely.
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Heavy rain fell across Arkansas during December 24-28, 1987. During this period, 6 to 12 inches of rain fell in a 100-mile wide belt extending roughly from Texarkana to West Memphis, Arkansas. The intense rainfall produced flooding throughout much of central and eastern Arkansas. Peak discharges associated with the flood had recurrence intervals of 100 years at two gaging stations. Peak stages, discharges, and recurrence intervals for this flood are documented profiles for 41 gaging stations. Also included in this report are flood profiles for Bayou Meto, Bayou Two Prairie, Cache River, L'Anguille River, and flood hydrographs for gaging stations on Bayou Meto near Lonoke and Cache River at Patterson. (USGS)
Flood hydrographs are needed for the design of many highway drainage structures and embankments and flood water storage structures. A dimensionless hydrograph is presented for Arkansas streams having drainage areas < 600 sq mi. This dimensionless hydrograph can be used with peak discharge and equivalent lagtime to determine flood hydrographs at ungaged sites on rural and urban streams in Arkansas. Multiple regression analysis was used to define relations between equivalent lagtime and basin, climatic, and hydrologic characteristics. Data collected on 450 storms at 9 gaging stations were used in the analysis. The regression analysis indicated that drainage area and 100-year discharge are significant parameters for estimating equivalent lagtime. The standard error of the regression equation is +/-38 %. The equation was tested for accuracy, bias, and sensitivity. An equation is presented for computing the volume of flood runoff when the peak discharge, equivalent lagtime, and drainage area are known. In addition, a hydrograph-width relation is presented for estimating the length of time that a specific discharge will be exceeded. (Lantz-PTT)
Annual peak discharges and stages at 254 gaging stations, which are the basic data supporting the U.S. Geological Survey report ' Magnitude and Frequency of Floods in Arkansas, ' are presented. These data include the peak discharge and stage for each yr and the date of occurrence, location of gaging station, description of gage, and supplemental remarks. These data are from gaging stations which have at least 10 yr of record. A map of the area shows the location of the data collection gaging stations. (USGS)
The magnitude and frequency of peak discharges on streams in Arkansas, were estimated through the use of comprehensive regression analyses, in which physical characteristics of streams were related to flood characteristics at gaging stations. Equations derived from the regression analyses provide estimates of peak discharges with selected recurrence intervals from 2 to 100 yrs on streams that have drainage areas < 3,000 sq mi. The regression analyses indicate that size of drainage area, slope of the main channel, length of the main channel, elevation of the basin, and mean annual precipitation were the most significant basin and climatic characteristics that affect the magnitude and frequency of floods. A technique is presented for estimating a stage-discharge relation at ungaged sites based on a cross section determined from topographic maps. This cross-section and stage-discharge relation is then used to determine the hydraulic radius for the discharges at each recurrence interval. Techniques are presented for estimating the magnitude and frequency of peak discharges using the hydraulic radius with other physical characteristics of the basin. The techniques that use the hydraulic radius give standard errors of estimate from 5% to 16% lower than techniques that do not use hydraulic radius. Data from 200 gaging stations with drainage areas less than 3,000 sq mi and with at least 10 yrs of record were used in the analyses. Large rivers such as the Red, Arkansas, White, Black, St. Francis, Mississippi, and Ouachita Rivers have flood flow characteristics that differ from those of smaller tributary streams and were, therefore, treated individually. Regional regression equations are not applicable to the large rivers; the magnitude and frequency of floods along these rivers are based on station data. A method is described for estimating the magnitude and frequency of peak discharges on streams for urban areas in Arkansas. (Lantz-PTT)
Measured discharges made during rising or falling stages generally require adjustments to refine constant-stage rating curves (stage-discharge relations) for gaged sites. Measurements at 42 gaging stations on Tennessee streams were selected for adjustment. Two methods, generally accepted by the U.S. Geological Survey, were tested: (1) the slope method adjusts the discharge for changing slope during the measurement, and (2) the storage method adjusts for change in channel storage. Both methods are related to the rate of change in stage. The initial results of the storage method of adjustments were unsatisfactory because of uncertainty in determining channel storage at each site, and a specific trend in the results could not be defined. Consequently, the storage method of adjustment was deleted from successive analyses. Maximum adjustments in measured discharge using the slope method were less than 5 percent at 28 of the 42 stations and less than 10 percent at 39 of the 42 stations used in the analyses. The adjustments were small because most of the measurements were made during nearly stable stage. Adjustments of measurements made during stage changes of several feet per hour could be considerably larger than 10 percent. Stage records at 10 stations showed that maximum change in stage during rises were considerably higher than the change in stage observed during the measurements. Large adjustments are usually required for a short period of time on the rising side of a hydrograph and smaller adjustments are required for a longer period of time on the falling side. Maximum adjustments in discharge using the slope method were less than 5 percent at three of the 10 stations and less than 30 percent at eight of the 10 stations used in the analyses. The mean discharge for the adjusted and unadjusted hydrographs are about the same.
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Flood profiles, peak discharges, and stages were determined for the December 1982, the 100-year, and the 500-year floods at 17 sites along the Buffalo River, Arkansas. Typical synthetic stage hydrographs for the 100- and 500-year floods were determined for each site. Flow duration data for gaging stations at St. Joe and Rush are shown. The average velocity of the water for the 100- and 500-year floods is shown for each site. Approximate flood boundaries delineating the 100- and 500-year floods are shown for Ponca, Steel Creek, Pruitt, St. Joe, and Buffalo Point. (Author 's abstract)
Techniques are presented for estimating the magnitude and frequency of peak discharges and storm runoff on stream in urban areas of Memphis, Tennessee. Comprehensive analyses were made in which physical characteristics of streams are related to snythetic flood characteristics at gaging stations. Equations derived from analyses provide estimates of peak discharges with recurrence intervals of 2 to 100 years on streams that have drainage areas less than 20 square miles. The regression analyses indicated that size of drainage area and condition of channel (paved or unpaved) are the most significant basin characteristics affecting the magnitude and frequency of floods in urban streams. Data from 27 gaging stations with 8 years of record were used in the analyses. Flood frequency at each gaging station was computed from calibrated parameters in a rainfall-runoff model. Techniques are also presented for estimating discharge hydrographs for individual floods by using the unit hydrograph, lag time, and rainfall excess. (USGS)
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