Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 8, Problem 8.12P
To determine
Find the seepage rate through the earth dam using Pavlovsky’s solution.
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For the two-dimensional flow system shown below (units in meters):Compute the total flow rate under the Dam.
X = 4, Y = 8.
Note 1: Point A is located in the middle point of the equipotential lines. Point B is located in the middle point of the flow lines.Note 2: Assume e=0.8 (void ratio) and k=10^-3 cm/s (coeff. of permeability).Note 3: Datum is located at the bottom level of the water (right side of Dam).Note 4: Remember, the figure is drawn to scale. So, use the value of 2X+Y to estimate any dimension that you consider necessary.
Refer to Problem 8.4. Using the flow net drawn, calculate the hydraulic uplift force at the base of the hydraulic structure per meter length (measured along the axis of the structure).8.24 For the hydraulic structure shown in Figure 8.24, draw a flow net for flow through the permeable layer and calculate the seepage loss in m3/day/m.
9. From the figure shown: (See picture below)
Cross-sectional area = 0.6m2
Hydraulic Conductivity of sand = 0.1 cm/sec
What is the rate of upward seepage of water? (Answer: 360 cm3/sec)
What would be the critical hydraulic gradient? (Answer: 1.12 m)
What value of h to cause boiling? (Answer: 2.8 m)
Chapter 8 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- Given: velocity of flow = 0.0375 m/s coefficient =0.05 m/s porosity p =48% slope S = 3/4 The soil porosity in the area where the 46-cm diameter well is 48%, find the discharge of the groundwater.arrow_forward11. A channel runs almost parallel to a river as shown in the figure. The water level in the river has an elevation of 36 m. and the elevation of the channel is 33 m. The river and channel are 600 m apart and a previous formation of the average thickness of 9 m and hydraulic conductivity of 0.80 m/hr joints them together. Compute the hydraulic gradient Compute the rate of seepage flow from the river to the channel per meter width in liters per day. If the seepage velocity is 0.048 m/day, compute the void ratio of the previous medium.arrow_forwardFind the rate of flow in m^3/sec/m (at right angles to the cross-section shown in Figure 7.33) through the permeable soil layer. Given: H 4 m, H1 2 m, h 2.75 m, S 30 m, a 14°, and k 0.075 cm/sec.arrow_forward
- The following figure shows and inclined aquifer at 100 to the horizontal. The difference in water level between to observation points of 60 m is 5 m. Determine the discharge through the aquifer per unit width if k = 0.7 mm/sec. The depth of aquifer normal to the direction of flow is 2.95arrow_forwardRefer to Figure 6.14. Find the flow rate in m3 /s/m length (at right angles to the crosssection shown) through the permeable soil layer given H = 3 m, H1 = 2.5 m, h = 2.8 m, L = 25 m, a = 10°, and k = 0.04 cm/s.arrow_forwardRefer to the cross section of the earth dam shown in the figure. Calculate the rate of seepage through the dam (q in m^3 / min / m) using L. Casagrande’s methodarrow_forward
- The figure below represents a system with flow in the horizontal direction. Find the value of each pressure charge, level charge, and total charge in A, B, C, D, E, F, G, plus the real and approximate velocity of water flow plotting all of the above, given that soil porosity = 0.33 and transmittance coefficient = 0.50 cm/secarrow_forwardGiven: velocity of flow = 0.0375 m/s coefficient =0.05 m/s porosity p =48% slope S = 3/4 The soil porosity in the area where the 46-cm diameter well is 48%, find the discharge of the groundwater. Given the coefficient =0.05 m/s and porosity p =48%, find the transmissibility (T) in m/s per unit m, if the aquifer width is 1.2 m. Given the discharge Q get in Question #1, transmissibility T in Question#2, slope S = 3/4; find the aquifer width X.arrow_forwardThe section of a concrete gravity dam with its flow net diagram is shown in Pigure 10.38. The coefficient of permeability of the soil (anistropic) in the vertical and horizontal directions are 0.25 m/day and 0.58 m/day, respectively. The length of dam perpendicular to the paper is 120 m. 1. Determine the number of pressure drops 2. Determine the seepage loss 3. Determine the total amount of water percolated in one year.arrow_forward
- (Question: 4: A well with a storage coefficient of 0.05 m/s has a slope define by rise = 3 and run = 4. Find the velocity of flow using Darcy’s equation.)The soil porosity in the area where the 46-cm diameter well in Question#4 is 48%, find the discharge of the groundwater.arrow_forwardFor a given dam in the figure below,(A) Compute the flow rate q under the dam(B) Compute the water pressures at the heel (A) and toe (B) sections of the dam base Assume Nf = 3 and Nd=8arrow_forwardIn the case of a rectangular channel 3 m wide and 1 m deep, the value of Darcy-Weisbach's constant is 0.038. Using the above values, determine the hydraulic radius Calculate the value of the Chezy’s constant. For a bed slope of 1/2500, find the flow rate.arrow_forward
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