ࡱ> =?:;<]q`bjbjqPqP 4::sS ^ ^ ^ ^  ...8/ *0L b062F2F2F2333HaJaJaJaJaJaJa$dhftna yF33yFyFna^ ^ F2F2;ObUUUyF^ F2 F2HaUyFHaUUVL]@L ^ ]F2v0  .N] `eb0b]TfCQf]f ]39U<?3L3 3nanaKSn333byFyFyFyF b  b ^ ^ ^ ^ ^ ^  THE MEANDER CUT-OFF MORPHOLOGICAL EVOLUTION Carevic Dalibor1, Neven Kuspilic2, Bekic Damir3 Researcher, Faculty of Civil Engineering, Water Research Department, University of Zagreb, Ka ieva 26, Zagreb, 10000, Croatia, email:  HYPERLINK "mailto:car@grad.hr" car@grad.hr Professor, Faculty of Civil Engineering, Water Research Department, University of Zagreb, Ka ieva 26, Zagreb, 10000, Croatia, email:  HYPERLINK "mailto:car@grad.hr" kuspa@grad.hr Researcher, Faculty of Civil Engineering, Water Research Department, University of Zagreb, Ka ieva 26, Zagreb, 10000, Croatia, email:  HYPERLINK "mailto:dbekic@grad.hr" dbekic@grad.hr Abstract: In the river engineering aspect, cut-offs pertain in river regulation actions that have significant effect on morphodynamical changes of the river channel. Shortening of the river course increases energy slope, which imply increase of shear stress on the river bed and disturbance of the river channel stability. To enable timely reaction in case of adverse effects, it is necessary to monitor the new situation. Due to diversity of geological, hydrological, hydraulical and morphological conditions, each river reach is a unique section. This paper gives theoretical aspects of the river channel evolution in the cut-off after creating the weir on the main channel of the river. Also, a meander cut-off results of morfologic changes observations are presented. Development of the river geometry has been observed for the period of one year, as well as the changes of the hydrodynamical parameters. Methodology of data evaluation is demonstrated where focus is been on distinction beetwen total eroded material and material which was caved in cut off from river banks. Also, analyzes of the influence of the river discharge and water surface level slope on erosion progress in the cut-off within a year. Volume of the total eroded material is approximated by the exponential curve. Prediction of cut-off evolution time is based on assumption that cut-off would be hydro-morfological stable when average cross section areas became equal for cut-off and for adjacent river bed. Predicted cutt-off evolution time is from min. 3,5 to max. 8 years. Keywords: river cut-off, morphodynamics, evolution time, drift erosion, river bank erosion. INTRODUCTION When the short-term changes of the river system occur without altering the general state, the river behaviour is considered in terms of a dynamic but steady system. Some river reaches maintain form and location features over long periods of time, and are considered to be in equilibrium with the inputs of water and sediment, displaying "dynamic equilibrium". Still other river reaches may switch rapidly from one set of dimensions and form to another in response to either external drivers (a recent flood or modification) or as a result of internal change (the meander cut-off). These latter river types display threshold behaviour. This paper gives the analysis of cut-off evolution after creating the weir on the main channel on the river Drava. The river Drava basin is the second largest in Croatia and is of great importance for water management of countries on its watershed. Nearly the half of its total path (305 km of total 750 km) flows through Croatia. On the entrance into Croatia the average annual river flow is 380 m3/s, and the average outflow is 620 m3/s at the mouth. Some twenty years ago, a cut-off was made on the meander near the Osijek river port (Fig.1). The meander cut-off Nemetin was made in 1985, in the length of 1.6 km between river cross-sections PO6 and P16. Until 2005, the old river channel and the cut-off channel participated in sediment and flow transport. The channel of the cut-off in the 20-year period assumed the form of dynamic equilibrium. Due to construction of the weir on the old river channel at the cross-section P06, the old channel has become almost inactive, and thus creating the conditions for further development of the cut-off channel. In the new conditions, hydromorphological parameters were measured in the cut-off zone for the period of one year. On designated cross-sections (Fig. 1), measurement of channel geometry, flow and velocity profiles was carried out.  Figure 1. Site location map with position of cross-sections. The flow and the velocity profiles were measured by boat-mounted ADCP, and geometry was measured by sounder and ADCP. Measurements were made in 2005 and 2006, in 12 outgoings to the river in the period from October 27 2005, to August 19 2006. Based on the collected data, the assessment was made of the global channel stability in the cut-off zone. The subject reach of the Drava is within the zone of influence of the Danube backwater, and the analysis must also pay attention to the effect of backwater on hydromorphologic parameters. OVERVIEW OF MEASUREMENTS Cut-off morphological development analysis were carried out for the flow profiles P07 to P015. Surveys were carried out from boat, becouse of that, just geometry under the water level is surveyed. Figure 2 shows Profile 8 geometry changes for the period of one year. It can be seen that Measurement 8 cross-section area (April 25 2006) is smaller than in the initial Measurement 1 (October 27 2005). Cross-section area oscillations are uneven and caused by the above mentioned measurement methodology. If one assumes that the cut-off is not in the state of hydromorphological equilibrium and that it is still being developed [1], this means that there will not be any material sedimentation in it that could cause reduction of the cross-section area through time. On the other hand, a rapidly reduction of the cross-section area in the riverbank zone, as it was the case with Measurement 8 (April 25 2006) compared to Measurement 7 (April 7 2006) and with Measurement 12 (August 19 2006) compared to 11 (July 15 2006), indicates this was caused by the caving-in of the riverbank soil into the flow profile (the so called bank erosion-BE). Bank erosion is also part of the riverbed erosion process, however here it needs to be observed as a special process. Therefore, using nine surveyed cross-sections it is necessary to calculate the quantity of drift material carried-out by the river (through erosion), from the cut-off, and especially to establish the quantity of the drift that ends up in the cut-off by the caving-in of riverbanks (BE).  Figure 2. Example of the surveyed geometry change on Profile 8 in the period between October 27 2005 and August 19 2006. DATA EVALUATION In order to establish the quantity of the drift that was carried out of the cut-off, the following data evaluation methodology was applied. A cross-section area time series were made for each profile, so that the each calculated cross-section area: (Aca)i was attached to corresponding measurement, for the time intervals i=1,2,3.11. Water surface level was chosen according to one criterion, so that all geometry changes are included by the cross-section area (for example water level height of 83 a.s.l. was chosen for Profile 8). If there was no caving-in of the riverbanks, such a diagram would have to grow in time because the flow area would increase because of erosion. Taken into consideration the alternation of the caving-in of the riverbank and erosion, the surface diagram oscillates. In order to establish the volume of the eroded material ((VE)i+1,j; [m3]), without the cave-in influence, a time series of eroded material volume was made according to the following equation:  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  (1)  EMBED Equation.3  measurament record number,  EMBED Equation.3  profile record number,  EMBED Equation.3  total volume of eroded material till measurament "i+1",  EMBED Equation.3  total volume of eroded material till measurament "i",  EMBED Equation.3  difference in cross-section areas between measuraments "i+1" and "i" (eroded material "area" between measuraments "i+1" i "i"); for the cross-section "j"; [m2],  EMBED Equation.3  cross section area in the measuraments "i"; "i+1",..; for the cross-section "j"; [m2],  EMBED Equation.3  "area" of the eroded material up to the measurament "i+1", "i", for the cross-section "j"; [m2], Lj cut-off length joined to an individual cross-section "j", from the middle to the middle of the interval between neighbouring profiles "j-1" i "j+1". As it can be seen in the above equation, with the conditional equation (Aca)i+i,je"(Aca)i,j the decrease of the cross-section area (riverbank cave-in) were ignored and only the following area increase was added cumulatively to the previous eroded area quantity. In this way, a time series of the eroded material volume was received (for the whole cross section, from the bottom and riverbanks as well). Quantity of material that caved-in and eroded between two measurements was not included by this data evaluation (quantity of the material above water level). Material volume is calculated under the assumption that processes in the profile and at the cut-off section joined to the profile are identical. The joined section goes from the middle to the middle of the distance of the neighbouring profiles. In order to calculate the cumulative quality of the caved-in material ((VBE)i+1,j; [m3]), (bank erosion) from riverbanks into the waterflow, the following equation was used:  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  (2)  EMBED Equation.3  measurament record number,  EMBED Equation.3  profile record number,  EMBED Equation.3  total volume of eroded material till measurament "i+1",  EMBED Equation.3  total volume of eroded material till measurament "i",  EMBED Equation.3 difference in cross-section areas between measuraments "i+1" and "i" (caved in material "area" between measuraments "i+1" i "i"); for the cross-section "j"; [m2],  EMBED Equation.3  cross section area in the measuraments "i"; "i+1",..; for the cross-section "j"; [m2],  EMBED Equation.3  "area" of the caved-in material from the riverbanks up to the measurament "i+1", "i", for the cross-section "j"; [m2], Lj cut-off length joined to an individual cross-section "j", from the middle to the middle of the interval between neighbouring profiles "j-1" i "j+1". RESULTS OF THE EVALUATION The following diagrams were received with the above defined method.  Figure 3. Eroded material volume increase (VE) from the cut-off channel from Oct. 27 2005 to Aug. 19 2006, for all profiles and the volume of the soil caved-in from the riverbanks (VBE), in the same period. It can be seen in diagrams that the most prominent erosion process appears on the middle profiles P09, 10 and 11. Profile P10 has the biggest bottom deepening, an average of 3m for the period between the first survey until the last, and Profile 9 for an average of 2m (data from the longitudinal section). Bottom deepening is the smallest for Profiles 7 and 8 and it amounts to an average of approximately 0.5 to 1m. The caving-in of the riverbanks is also most noticeable in Profiles P09, 10 and 11 which indicates that these profiles are spreading faster than the others. Moreover, it is necessary to emphasise Profile P014 because channel erosion is also progressive, as well as riverbank erosion. HYDROLOGICAL AND HYDRAULICAL INFLUENCES ON RIVERBED MORPHLOGY Riverbed erosion depends on many factors: discharge, riverbed bottom slope, valley slope, sediment diameter (d50) and sediment transport, flow area and riverbank overgrowth. The following text will analyze the influence of the flow and water surface level slope on erosion progress in the cut-off within a year. Discharge was received from measurements of hourly-average water surface levels (WSL) in Beliae. For WSL in Beliae, with the consumption relationship, a hydrogram for Beliae in the mentioned period was made. Discharge in Osijek was received as: QOs=1,03QBel, taken into consideration that the relationship between watershed areas of the Drava river compared to Beliae is 1.03. WSL slope was received based on daily-average WSL in Osijek and Aljmaa. A part of the 2005 datas of WSL for the Aljma measurament station was received based on the established correlation between the measurament stations Erdut and Aljma. WSL slope is an essential input parameter that gives information on the influence of the Danube backwater on the levels in Osijek. With its backwater, Danube influences the speed in the cut-off and erosion as well. There is no consumption diagram for Osijek because of complicated hydraulical conditions of the Drava river in Osijek. If all material volumes, for all profiles, are added up (P07-P015), individually for every measurament, one receives a time change of the overall eroded material volume from the cut-off. Also, one can establish the change of the overall volume of the caved-in material from the riverbanks. Both diagrams are shown in Figure 4. All defined parameters are shown in Figure 4. Development of the cut-off, since the construction of the weir in the old riverbed up to the final measurement on August 19 2006, can be divided into four stages. The first stage includes perio from the first measurement on October 27 2005 up to Measurement 4 (January 13 2006). Erosion was very noticeable in this period and, as the main reason, as it can be seen on the diagram, is a significant WSL slope (Osijek-Aljma) which indicates increased speed in the cut-off. The second stage is stagnation and a slow progress in the period from Measurement 4 to Measurement 6 (March 24 2006) because average WSL slope was decreased by approx. 50%, and the discharge also decreased compared to the stage before. The third stage, from Measurement 6 until Measurement 9 (May 6 2006) the volume of the eroded material suddenly increased, which was followed almost by a 100% increase of the mean discharge and also by a significant decrease of the WSL slope (Danube backwater influence). The final stage, from Measurement 9 to Measurement 12 (August 19 2006) a slight progress was noticed. It has to be emphasized that riverbanks around the cut-off are overgrown by forest that partially stops erosion with its roots. It is difficult to establish the influence of the vegetation considering there are no informations on density and sort of the forest, as well as on the width increase of the cut-off.  Figure 4. Discharge change in Osijek, water surface level slope between Aljma and Osijek, and the volume of eroded material (VE) and the material eroded from riverbanks (VBE). CUT-OFF DEVELOPMENT TREND Figure 5 shows time series on the overall eroded material volume from the cut-off (from P07 to P15) and the overall volume of the caved-in material from the cut-off (from P07 to P15). Volume of the total eroded material is approximated by the exponential curve and riverbank erosion by the second degree polynomial. Cut-off erosion development trend (E) should behave according to a similar law in the following cut-off development period, where curve inclination (erosion intensity) would slump in time. A slight riverbank erosion line inclination (BE) and a steep overall erosion line inclination (E), in the initial phase (from May 27 2006 to January 13 2006), shows a significant deepening of the cut-off channel in this period. After the initial phase, the BE line inclination increases and it becomes approximately equal to the E line inclination. This means that bank erosion increase is equal to the total erosion increase, which means that the bottom erosion was stopped and the river was taking away only the material that caves-in into the cut-off channel. Riverbank spreading is obvious, which lasted from January 13 2006 until the final measurement on August 19 2006. Total erosion curve inclination decrease is expected (trendline_E) towards a final value that will represent total volume of the eroded material at the moment when the cut-off becomes stabile. Bank erosion line (trendline_BE) should have a point of inflection in the future and the asymptotic approaching to the value of the total bank erosion volume.  Figure 5. Function approximations of erosion advancement (E) and riverbank erosion (BE), for the measurement period of approximately one year. To predict period, in which cut-off chanel would becames hidro-morfologic stable, next approach was used. In period of measuraments (25.October 2005-19.August 2006), Drava in Osijek was having: average water surface level WSLav=82.4 a.s.l. and average river discharge Qav=451 m3/s. Otherwise, annual average WSLav in Osijek is 82.4 a.s.l. (1946-1999) and annual average river discharge is Qav=557 m3/s (1962-1991);(calculated like ratios of watersheds areas in Osijek and Beliae) [2].It could be concluded that measurament year has been hydrological average, becouse average WSLav has been identical and average discharge has deviation ~20%. Based on these facts, trend line curve from figure 5 can be adopted like approximation for hydrological and hydraulical average year. Second assumption is about criterion when would cut-off channel becames stable. When geometrical characteristics of cut-off would be similar to geometrical characheristics of upstream and downstream river-bed, that moment could be adopted like cut-off evolution end. Hence, calculations of average flow section areas are made, for upstream and downstream flow profiles (P01, 02, 03 i P019, 20, 21, 22 i 23; figure 1), for 90% duration WSL (84.0 m.a.s.), on measurament station Osijek. Also, calculations of average flow profile areas, for cut-off channal (P07-P015) are made, for 90% WSL (84.0 m.a.s.). Table 1. Average flow section areas (R) and standard deviation (), for river upstream and downstream from cut-off; average flow section areas (C) and standard deviation (), for cut-off. Material volume (VS) which must be eroded from cut-off to achives cut-off stability.  EMBED Excel.Sheet.8  With assumption that cut-off would be hydro-morfological stable when average flow section areas (R) and (C) became equal, also, if we adopt trendline_E for VE (total eroded volume; from figure 5), than we could predict time of cut-off evolution. Total volume of material which river must carried out from cut-off, so that cut-off becames geometric equal to adjacent river-bed is Vs=857199m3 (Table I). From those quantity must be taken volume of material which was caved in the cut-off: VBE=251440 m3. 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Becouse of that, cut-off chanel would not becames geometrical similar to upstream and downstream river bed. Also there is no functional realtionship between discharge and erosion in Nemetins cut-off. Becouse of that here is calculated just orientational prediction of evolution time. Calculation is made with a half volume of remaind material: V=302878 m3. For defined parameters, 3,5 years is predicted time for cut-off evolution ending. CONCLUSION After the costruction of the weir on the old Drava riverbed, more intense erosion processes started on the deepening of the channel cut-off. In ~3 months since the weir was constructed (until January 13 2006), the channel deepened in some profiles from at least 0.5m up to 4m the most. After the fourth measurement (January 13 2006) total erosion increase (E) fell and the bank erosion increase (BE) grew. This means that the channel stopped deepening and it entered the riverbank spreading phase that lasted from January 13 2006 until the final measurement on August 19 2006. It is supposed that the time span of approx. three months, in order for the cut-off expansion process to start, was caused by the influence of overgrowth by the forest. Further channel erosion development and bank expansion largely depend on hydrological and hydraulical conditions of the Drava river. It is necessary to conduct additional cut-off morphology measurements, as well as to carry out measurements of sediment transport and the overgrowth state by the forest. With assumption that cut-off would be hydro-morfological stable when average flow section areas became equal for cut-off and for adjacent river bed, then we can predict that cutt-off evolution time would be from min. 3,5 to max. 8 years. REFERENCES: Carevi, D., Kuspili, N., Beki, D.,(2007), Evolution of the River Cut-off, 10th International Symposium on WATER MANAGEMENT AND HYDRAULIC ENGINEERING 2007 ; Book of Abstracts / Josip Petraa, Zagreb, pp 139-141, Kuspili, N., Beki, D., Carevi, D.,( 2007LTZ^`.jlN@ATUWɶɭɗɡɄ{phjjh)mH sH hMhO^Jh*whOH*^JhHqhO^Jh|hO6^Jh+"hO6^JUh+"hO^JhzL5hO6^Jh7hO^J hO^J,hO5PJ\^J_HaJmH nHsH tH2hy=hO5PJ\^J_HaJmH nHsH tH+ &`#$gd*~`gdOL5$7$8$9DH$^`LgdOh5$7$8$9DH$^h`gdO*$1$5$7$8$9DH$`gdO), Channel stability assessment in a meander cut-off, Proceedings of the 5th IAHR Symposium on River, Coastal and Estuarine Morphodynamics, Dohmen-Janssen, Marjolein; London : Taylor&Francis Group,. pp 1135-1141. Kuspili, N., Beki, D., Carevi, D., (2007) Monitoring of morphological parameters on Drava river cut-off, Proceedings of the 4th Croatian Conference of Water, Geres, D., Zagreb, Hrvatske vode,. pp 153-161.     PAGE  Ǽhjjh)mH sH hwh~dhZhhh)h*~hR| hR|0JjhR|0JUhSjhSU`gdO 21h:p*~. 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