C1 A canal is cut into a soil with a stratigraphy shown in figure. Assuming flow takes place laterallyand vertically through the sides of the canal and vertically below the canal.1.0 mk = 2.3 x 10-5 cm/sec1.5 mk = 5.2 x 10-6 cm/secCanal3.0 mk = 2.0 x 10-6 cm/sec2.0 m1.2 mk = 0.3 x 10 cm/sec3.0 mk = 0.8 x 10-3 cm/secO Zoom imageCalculate the ratio of the equivalent horizontal hydraulic conductivity to the equivalent verticalhydraulic conductivity for flow through the sides of the canal,O 4.0O 2.52.03.5

Given data in question Permeability Depths To find out Ratio of horizontal to vertical…

a stratigraphy shown in figure. Assuming flow takes place laterally and vertically through the sides of the canal and vertically below the canal. k = 2.3 x 10-5 cm/sec 1.5 m k = 5.2 x 10-6 cm/sec Canal 3.0 m 2.0 m k = 2.0 x 10-6 cm/sec 1.2 m k = 0.3 x 10 cm/sec 3.0 m k = 0.8 x 103 cm/sec Zoom image Calculate the ratio of the equivalent horizontal hydraulic conductivity to the equivalent vertical hydraulic conductivity for flow through the sides of the canal. O 4.0 O 2.5 O 2.0 3.5

a stratigraphy shown in figure. Assuming flow takes place laterally and vertically through the sides of the canal and vertically below the canal. k = 2.3 x 10-5 cm/sec 1.5 m k = 5.2 x 10-6 cm/sec Canal 3.0 m 2.0 m k = 2.0 x 10-6 cm/sec 1.2 m k = 0.3 x 10 cm/sec 3.0 m k = 0.8 x 103 cm/sec Zoom image Calculate the ratio of the equivalent horizontal hydraulic conductivity to the equivalent vertical hydraulic conductivity for flow through the sides of the canal. O 4.0 O 2.5 O 2.0 3.5

Principles of Foundation Engineering (MindTap Course List)

9th Edition

ISBN:9781337705028

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter2: Geotechnical Properties Of Soil

Section: Chapter Questions

Problem 2.8P

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4. A canal is cut into a soil with a stratigraphy shown in the figure below. A flow takes place laterally and vertically through the sides of the canal and ▪ below the canal, determine: k = 2.3 x 10* cm/s Canal 1 m 3 m 1.5 m k = 5.2 x 10° cm/s k = 2.0 x 10° cm/s 2 m 1.2 m k = 0.3 x 10" cm/s k = 0.8 x 10° cm/s 3 m Equivalent hydraulic conductivity equations for stratified soil masses: H ky kH H The equivalent hydraulic conductivity in the horizontal direction for the sides of the canal. (a) The equivalent hydraulic conductivity in the (b) vertical direction for the sides of the canal. Calculate the ratio of the equivalent horizontal hydraulic conductivity to the equivalent vertical hydraulic conductivity for flow through the sides of the canal. (c) Explain the physical meaning of the ratio for the (d) horizontal to vertical hydraulic conductivities calculated for the previous question. The equivalent hydraulic conductivity in the vertical direction for below the bottom of the canal. (e)
Find 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.
EXAMPLE 10.15 An embankment is shown in Figure 10.29a. Determine the stress increase under the embankment at points A₁ and A₂. 14 m- 5m 11.5 m- 5 m č A₂ At point A₁ -14 m- → 5m → ← 5m 5 m A₂ 11.5 m At point A₂ H=7m ► 5 m 8 A₁ 5m+¦+ H=7m >· 5 m X A₁ 14 m 16.5 m 5 m 14 m EXAMPLE 10.15 An embankment is shown in Figure 10.29a. Determine the stress increase under the embankment at points A, and A₂. 14 m 16.5 m y= 17.5 kN/m³ 5m9 = (2.5 m) x (17.5 - A₂ H A0₂ (1) kN/m³) = 43.75 kN/m2 Aσ₂ (1) y= 17.5 kN/m² B A₁ 1 90 = 122.5 kN/m2 + + T 5m 9=(7 m) x (17.5 kN/m³)= 122.5 kN/m² % = 122.5 kN/m² A₂ 2.5 m →→ ● A0₂ (2) A₁ 14 m- A₂ (2) 9 (4.5 m) x (17.5 kN/m³)= 78.75 kN/m² Aar: (33) A₂ 14 m 9 m ➜ 14 m 1
A canal is cut into a soil with a stratigraphy as shown in the figure. Assume flow takes place laterally and vertically through the sides of the canal and vertically below the canal. The values of k= kx= kz in each layer are given. 1.0 m 0 k- 2.3 x 10 cm/s 1.5 m T k = 5.2 x 10 cm/s 3.0 m 2.0 m k = 2 x 1o“ cm/s 1.2 m I k - 0.3 x 10 cm/s 3.0 m k = 0.8 x 10° cm/s a) Calculate the horizontal equivalent permeability of the canal in cm/day. b) Calculate the vertical equivalent permeability of the canal in cm/day. c) Determine the equivalent permeability in the vertical directions below the bottom of the canal in cm/day.
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