Tuesday, December 11, 2012

Mechanism of Efficient Sediment Transport by Hyperconcentrated Flow in the Lower Yellow River (Part III)

3. It is Most Difficult to Transport Sediment When Sediment Concentration Is around 200 kg/m3

The observed vertical sediment concentration distribution at Aishan and Luokou stations in the lower Yellow River is presented in Table 3. When the average sediment concentration is 200 kg/m3, along the lower reach the surface sediment concentration is only 130 to 140 kg/m3, but the sediment concentration near the river bed can reach to 300 kg/m3 or even more. The sediment grain size of the bottom region is rather coarse, where the mean sediment size dave is around 0.04 - 0.05 mm, which is coarser than the average grain size, say 0.03 - 0.04 mm. From this table, sediment concentration at the bottom is twice of that at the surface. Consequently it results in the uneven distribution of flow viscosity in vertical direction. By calculation, the viscosity of bottom flow is almost twice of that of the surface flow. It changes the characteristics of vertical flow velocity profile.  

Table 3 Vertical Sediment Concentration Distribution at Aishan and Luokou Stations on the Lower Yellow River


Station
Date
Q
h
V
Concentration (kg/m3)
Sediment Size (mm)
(m3/s)
(m)
(m/s)
average
surface
(0.2h)
bottom
(0.8h)
average
surface
(0.2h)
bottom
(0.8h)
Aishan
09/05/73
3,000
3.13
2.4
200
140
300
0.038


08/11/77
3,670
3.89
2.32
180
130
300
0.036
0.02
0.05
Luokou
09/07/73
2,900
4.73
2.09
149
110
250
0.031
0.02
0.05
07/13/77
4,700
6.40
2.39
208
160
350
0.041


08/12/77
2,780
4.24
2.17
167
130
270
0.029



The relationship between vertical velocity profile and sediment concentration is shown in Figure 3, where Kv, the ratio of velocity at relative depth 0.2h and 0.8h is used to represent velocity profile (Sediment data set used is the same as Figure 2).

When the sediment concentration is lower than 200 kg/m3, the value of Kv increases with sediment concentration increasing. Kv is 1.4 for clear water flow and 1.8 for sediment-laden flow with concentration of 200 kg/m3. However, when the sediment concentration is higher than 200 kg/m3, the value of Kv decreases with sediment concentration increasing. The average value of Kv is 1.4 for sediment concentration ranging from 300 kg/m3 to 900 kg/ m3, which is same as the clear water.  Value of Kv reaches its peak when sediment concentration is 200 kg/m3, which indicates the vertical velocity varies the most at this moment. The above conclusion agrees with the study of Chien (Chien et al, 1980) and Zhang (Zhang et al, 1988), which states the von Karman constant κ is the smallest when the sediment concentration is 200 kg/m3. The results above show if magnitude of the velocity near bed is used for analysis, when sediment concentration is 200 m3/s, the stream power on river bed is also the smallest, which makes it the most difficult to transport sediment.

Figure 3 Velocity Ratio (Kv) vs. Sediment Concentration (S)

4. Efficient Sediment Transport Characteristics of Hyperconcentrated Flood in the Yellow River

By comparing the composition of sediment from hyperconcentrated floods and that from Loess Plateau, it can be seen that grain size of sediment from hyperconcentrated flood is much coarser than the sediment from Loess Plateau. The grain size of sediment from Loess Plateau ranges from 0.03 to 0.04 mm, while from hyperconcentrated flood it mainly ranges from 0.04 to 0.10 mm, and even 0.1 to 0.3 mm. The grain becomes further coarser with sediment concentration increasing. This is because the river beds of the main stream and tributaries in the middle reach are severely scoured during hyperconcentrated flood events, and the eroded coarse material is brought to the lower reach with floods. Such phenomenon also shows that the hyperconcentrated flood has great sediment transport capacity.

The river channel characteristics of the Weihe River, Beiluohe River and the lower Yellow River are listed in Table 4. Each of these rivers has a narrow and deep channel, and the width over depth ratio decreases with discharge increasing. The bed slope is 0.57 x 10-4 to 5 x 10-4, and the unit width discharge is 2 to 6 m3/s/m. The observed data shows the Weihe River, Beiluohe River and the lower Yellow River all have great sediment transport capacity.

Table 4 River Channel Characteristics of Weihe RiverBeiluohe River and Lower Yellow River

River
Reach and Length
Slope
(10-4)
Channel Width
(m)
Width over Depth
B/h
Bankfull Discharge (m3/s)
Weihe River
Lintong - Tongguan (165 km)
0.57~4
80~300
3~6
1,000~5,000
Beiluohe River
Luo 17# - Chaoyi   (87 km)
1.62~5
60~100
2~3
300~1,000
Yellow River
Aishan - Lijin (282 km)
1.0
400~600
3~6
3,000~6,000

The gradation of suspended sediment of the lower Weihe River and Beiluohe River during flood events was carefully studied. The results indicated that the sediment grain size of normal floods is relatively fine. However, the sediment grain size was coarser for hyperconcentrated floods in year 1964, 1973, and 1977. As shown in Table 5, discharges of these hyperconcentrated floods ranged from 300 to 4,000 m3/s, and the maximum sediment concentration was 600 to 1,010 kg/m3 with d50 = 0.05mm - 0.06mm. The river channel was seriously scoured. Such phenomenon reflects the high sediment carrying capacity of hyperconcentrated floods, even for carrying coarse particles. Due to the difference in river width, the non-deposition discharge for sediment transport is not the same for different rivers. For instance, the non-deposition discharge for Beiluohe River is 300 m3/s, but for Weihe River it is over 1,000 m3/s. Obviously, river width is an important factor determining the non-deposition discharge for lower Yellow River.

The vertical sediment distributions of in Huaxian and Huayin Stations of the Weihe River, and Chaoyi Station of the Beiluohe River are shown in Figure 2. Under the following conditions: sediment concentration = 329 - 894 kg/m3, discharge = 108 - 3,530 m3/swater depth = 2 - 7 mvelocity = 0.9 - 2.4 m/sdave = 0.04 - 0.106 mm, and d90 = 0.084 - 0.36 mm, the percentage of the sediment particles finer than 0.01 mm = 8.7 % - 22.9 %, we can not see any impact of the changes of sediment grain size on the vertical distribution of sediment concentration, where the value of Ks ranges from 0.87 to 0.99. This also includes the flood with coarse sediment particles, such as d90 = 0.36 mm. Actually in alluvial river, the phenomena that the sediment size gets coarser with sediment concentration increasing itself already implies the powerful sediment carrying capacity of the hyperconcentrated flow.

Table 5 Hyperconcentrated Flood and Sediment Transport Characteristics of Weihe River and Beiluohe River

River
Date
Sediment Flow Condition
Morphological Change and Sediment Transport Ratio
Peak Discharge (m3/s)
Maximum Daily-average   Discharge
(m3/s)
Maximum Sediment Concentration
(kg/m3)
Duration for S > 400 kg/m3 (hr)
d50
(mm)
Percentage for d < 0.01
mm    (%)
Depth of Main Channel Erosion
(m)
Length of Channel Erosion (km)
Sediment Transport Ratio
(%)
Weihe
07/05/77~07/13/77
5,550
4,120
690
43
0.04~0.06
15~20
-2.5
165
97
08/12/64~08/17/64
3,970
1,999
670
120
0.03~0.04
14~22
-0.4
165
108
07/16/64~07/21/64
3,120
1,870
600
30
0.05~0.06
12~22
-0.5
165
120
08/02/70~08/10/70
2,930
2,250
800
24
0.03~0.04
17~25
-0.32
165
104
07/24/75~08/01/75
2,290
1,350
645
30
0.03~0.05
10~40
-0.25
165
100
Beiluohe
07/28/75~07/31/75
2,190
1,120
725
32 (53)
0.04~0.05
15~19
-131
87
90
08/17/71~08/20/71
1,100
504
885
79 (79)
0.04~0.06
10~20
-1.13
87
96
07/06/77~07/08/77
3,070
1,080
850
60 (72)
0.04~0.06
10~16
-3.16
87
112
07/30/69~08/02/69
1,290
504
880
81 (89)
0.04
8~16
-0.51
87
120
08/25/73~09/03/73
765
380
860
130 (176)
0.04~0.05
10~17
-1.63
87
123
08/06/77~08/09/77
800
298
1,010
84 (84)
0.04
10~16
-0.64

100

Note: Numbers in the brackets are the durations in hours for sediment concentration higher than 300 kg/m3. “–” means erosion, “+” means deposition.

Hyperconcentrated floods of the Yellow River also possess high sediment transport capacity while passing through a reservoir (Qi, 1997). For example, for the two hyperconcentrated flood events happened in July and August of 1977, the energy slope in the backwater region 41.2 km upstream from Sanmenxia Dam was 0.27 x 10-4 to 0.92 x 10-4, the width of the reservoir was 600 to 800 m, the sediment transport ratio of the reservoir is 97% to 99%, the maximum sediment concentration of floods released from the dam was 616 to 911 kg/m3, respectively. The maximum average sediment size was 0.105 mm with d90 = 0.35mm. The detailed data of both floods are listed in Table 6.

Table 6 Sanmenxia Reservoir Sediment Release Conditions in July and August, 1977



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