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 9, Problem 9.12P
(a)
To determine
Find the rate of upward seepage of water.
(b)
To determine
Find the effective stress
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Problem 4:
An inclined permeameter tube is filled with layers of soil of different permeability as shown below. Find the
total head, elevation head and pore water pressure at points (A-B-C-D) with respect to the given datum, Given:
1.5k1=2k2=3k3=k4
k4=2x10-3 cm/sec
35 сm
9 cm
K4
K3
K1
K2
15 cm
11 cm
7 cm
4 cm
Datum
شاشة
4cm
4- Refer to Figure below. If Hj=3 ft, H2=4.5 ft, h=1.5 ft, ysai=118.9 lb/ft', area of the tank=6.25 ft', and hydraulic
conductivity of the sand (k)=5.3x10-³ ft/sec,
What is the rate of upward seepage of water (ft'/min)?
b. If the point C is located at the middle of the soil layer, then what is the effective stress at C?
а.
(孟)
Valve (open)
Inflow
不
Soil layers are shown as the right figure. Given:
H₁ = 2 m, k₁ = 10-4 cm/sec
H₂ = 3 m, K₂ = 3.2 x 10-² cm/sec
H₂ = 4 m, K₂ = 4.1 x 10-5 cm/sec
Estimate the ratio of horizontal equivalent hydraulic
conductivity and vertical equivalent hydraulic
conductivity, i.e., k./k₂
T
*
H₂
H₂
a. 152
Ob. 270
O c. 140
O d. 225
k₁
k₂
k3
Chapter 9 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
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- (Situation 3) Determine the equivalent hydraulic conductivity of the soil strata given in the figure considering direction of flow of water parallel and perpendicular to the layers. k = 2.3 x 102 cm/s k, = 8 x 102 cm/s k, = 5.7 x 10 cm/s, k, = 25.5 x 104 cm/s 10 m 2 m! = 9.2 x 10 cm/s k, = 27 x 107 cm/s 10 m %3!arrow_forwardH k, H, H k, H A layered soil is shown in the figure above. Estimate the equivalent hydraulic conductivity for flow in the vertical direction. Suppose that ki = 5.0 ×10¬4 cm/s, k2 = 4.0 ×10-4 cm/s, k3 = 4.0 ×10-4 cm/s, k4 = 1.0 ×10¬4 cm/s, Н - 2.0 m. H, - 2.0 m. Hз - 2.5 m. На - 2.5 m. (Enter your answer to three significant figures.) kyle) cm/sarrow_forwardSoil layers are shown as the right figure. Given: H1 = 2 m, k1 = 10-4 cm/sec H2 = 3 m, k2 = 3.2 x 10-2 cm/sec H3 = 4 m, k3 = 4.1 x 10-5 cm/sec Estimate the ratio of horizontal equivalent hydraulic conductivity and vertical equivalent hydraulic conductivity, i.e., Ky/Kz H2 k2 H3 k3 O 140 O 270 O 225 O 152 Question 2 4 pts The results ofa constant-head permeability test for a sand sample having a sectional area of 10000mm2 and a length of 200 mm are as follows: (1) Constant head difference 400mm (2) Time of collection of water = 30 seconds (3) Volume of water collected = 600 cm3. The hydraulic conductivity is: O 1.7mm/sec O 2.9 mm/sec O 0.5mm/sec O 1.0 mm/secarrow_forward
- a. For Figure 2 below, calculate the effective hydraulic conductivity for flow parallel and perpendicular to layering. Show your work. Explain the difference in values. Figure 2 sand layer; K = 1 m/d; thickness = 5 d 10.5 m clay layer; K = 0.000001 m/d; thickness = 0.5 m sand laver: K = 1 m/d; thickness = 5 m b. Figure 3 below shows the effects of groundwater refraction, assuming that groundwater flow in the top layer is almost horizontal i.e., a = 89.8°, what is B and what can you say about the flow in the clay layer? a a K, b B K Figure 3.arrow_forwardThe rate of upward seepage taking place through a granular soil contained in a tank is 976.5 cm3/sec. Given that H1 = h = 1.8 m, the area of the tank = 0.62 m?, void ratio of the soil = 0.55, the specific gravity is 2.65, and the hydraulic conductivity of the sand is 0.21 cm/sec, determine the following: a. The hydraulic gradient. b. Length of H2. c. The critical hydraulic gradient of the soil sample. d. If boiling will occur at h = 2.5 m? Justify your answer by showing the appropriate comparison by solving. e. The value ofh to cause boiling. (あ)。 H, H1 H2 Valve (open) Inflowarrow_forwardThe hydraulic gradient is a rock that is porous and permeable enough to transmit water easily. b the difference in hydraulic head between two points, divided by the distance between them. c rock that is low in permeability so that water flows very slowly through it. d a relationship of groundwater flow rate between two point to the difference in hydraulic head between them. 2. An artesian well is one in which a pressurized groundwater rises from a deep, unconfined aquifer. b water rises above the top of the confined aquifer without any pumping. c the well is horizontal and the water table is perched. d Paint colors are mixed. e the water is warm, fairly saline, and recharged by an affluent stream. 3. A cone of depression is a a solid or hollow object which tapers from a circular or roughly circular…arrow_forward
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