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 8.4P
To determine
Draw the flow net for flow through the permeable layer and calculate the seepage loss in
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Consider the hydraulic structure shown in the figure below. In the flow net for flow through the permeable layer, the number of flow channels is Nf
= 5 and the number of potential drops is Ng = 12 Calculate the seepage loss.
25 m
10 m
1.67 m
3.34 m
20 m
k = 0.002 cm/sec
1.67 m
1.67 m
Permeable layer
| Impermeable layer
Select the correct response:
7.21 m3/day/m
O 2.17 m/day/m
6.28 m3/day/m
O 6.82 m/day/m
11
6 decimal places for the solution
Water flows at the rate of 4 x 10-2 cm³/s through a cylindrical sand sample with a
diameter of 10 cm and a coefficient of permeability of 8 x 10-4 cm/s. In Case I, the flow
is in upward direction, as shown in Figure 3a. In Case II, the flow is in downward
direction, as shown in Figure 3b.
For each case:
a). The total head loss through the sand.
b).
The total stress, the effective stress and the PWP at points A, B and C if the
soil has a saturated unit weight of 19 kN/m³.
a). Case I
9 cm
12 cm
12 cm
▼
C
B
A
D = 10 cm
9 cm
12 cm
12 cm
b). Case II
Figure 3. Seepage through soil
▼
с
B
A
?
D = 10 cm
Chapter 8 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- Problem 1: An unconfined aquifer underlies a confined aquifer as shown in the figure: 44 m K1 - 40 m/day 55 m 47 m 36 m K2 = 35 m/day 2,000 m 1. What is the equivalent coefficient of permeability for flow in the horizontal direction in meter per day? 2. What is the hydraulic gradient? 3. What is the rate of flow from one stream to another per meter width?arrow_forwardNf : 5 Nd=16 25 m Question 4 Seepage take place beneath a concrete dam as shown in Figure 2. The soil beneath the dam is a fine silty sand with hydraulic conductivity of 4.2 x 10“cm/s and saturated unit weight of 19.5 kN/m³. 6 m 1.75 m: 1) Find the rate of seepage beneath the dam in m³/day/m 2) If a standpipe piezometer is installed at the tip of the sheet pile, how high will the water rise? Impervious stratumarrow_forwardpls show full solution/ let me understand thank youarrow_forward
- Refer to the cross section of the earth dam shown below. Calculate the rate of seepage through the dam (q in m/min/m) using Schaffernak's and Casagrande's solutions. +7 m→| 3 m G.W.T. 1 32 m 2.0 2.0 Impermeable layerarrow_forwardin figure below , a flow net is showing underneath a reinforced concrete dam .the permeability (k ) of the soil underneath the dam is 5*10 " m/s. Find the flowing: |a-the rate of seepage in m’/s if the dam is 350 m in length. b-the volume in (m3) of water loss underneath the dam in one year . the pore water pressure (u) at location A ,B ,C, D. -7 15 m A 30 m 18 m 12 m 10marrow_forwardQ.arrow_forward
- 5.4 The figure shows the cross-section of a levee that is 500 m long and is underlain by a 2-m-thick permeable sand layer. It was observed that the quantity of water flowing through the sand layer into the collection ditch is 250 m³/day. What is the hydraulic conductivity of the sand layer. Ans. k = 3.125 m/day Elv. 160 m Levee Elv. 150 m 2 m Ditch 125 m Impervious Sandarrow_forwardA pump well is dug through a confined aquifer having a thickness of 32 meters. The piezometric surface of the aquifer is 18 meters measured from the top impermeable layer. The first observation well is 75 feet directly west of the pump well and the second observation well is 75 feet directly north of the first observation well. Determine the hydraulic conductivity of the aquifer if it supplies a discharge of 10 liters per second and the drawdown of the observation wells are 13 feet and 23 feet.arrow_forwardSituation 2: 4. 5. For the given figure, r₁ = 30 m r₂ = 10 m H = 20 m t = 15 m Q = 13 L/s h = 13.6 m h₁ = 17.6 m h₂ = 16.3 m d = 0.6 mø draw down H t d ₂1 C Find the permeability of the aquifer in m/s. Compute for the transmissivity of the impermeable layer in m²/s. h₂ 5 h₁ -observation wells -impermeable Confined layer Aquiferarrow_forward
- A drainage pipe beneath a dam has clogged with sand whose coefficient of permeability is found to be 8.0 meters per day. The average difference in headwater and tailwater elevation is 21.6 meters and it has been observed that there is a flow of 162 liters per day through the pipe. The pipe is 96.3 meters long and has a cross-section area of 180 sq. cm. What length of the pipe is filled with sand?arrow_forwardThree piezometers have been installed in the confined aquifer shown in Figure 2 below. The aquifer has a uniform thickness of 3.5 m and a hydraulic conductivity of 2x10-1 cm/s. Determine the hydraulic gradient, the direction of flow, the transmissivity, and the flow rate per unit width of the aquifer.arrow_forwardSeepage is occurring through a porous media shown in the figure. The hydraulic conductivity values (k,, k2, kg) are in m,/day. 00 Imprevious 个 15m P k, = 2 k, 3 10m 3m kg = 1 13m + 20m 10m 20m 10m The seepage discharge (m/day per m) through the porous media at section PQ isarrow_forward
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