**7.8** A permeable layer is underlain by an impervious layer, as shown in Figure 7.30. With \( k = 5.2 \times 10^{-4} \) cm/s for the permeable layer, calculate the rate of seepage through it in m\(^3\)/hr/m if \( H = 3.8 \) m and \( \alpha = 12^\circ \).**Diagram Explanation:**The diagram illustrates the arrangement of a permeable layer above an impervious layer. The key features include:- **Permeable Layer**: Represented in a light color, where water can seep through.- **Impervious Layer**: Shown in a darker color, acting as a barrier to water flow.- **Groundwater Table (Free Surface)**: A line indicating the upper level of saturation in the permeable layer.- **Direction of Seepage**: Indicated by an arrow showing the path taken by water as it moves through the permeable layer.- **Slope Angle (\(\alpha\))**: The angle of inclination of the layers, given as \( 12^\circ \).- **Layer Thickness (\(H\))**: The vertical distance between the groundwater table and the impervious layer, given as 3.8 m.The problem requires calculating the seepage rate through the permeable layer using the given hydraulic conductivity (\( k \)) and physical parameters (\( H \) and \( \alpha \)).

Area of cross sectionA=Hcosα×BA=3.8cos12×1mHydraulic…

A permeable layer is underlain by an impervious layer, as shown in Figure 7.30. With k = 5.2 × 10¬ª cm/s for the permeable layer, calculate the rate of seepage through it in m'/hr/m if H = 3.8 m and a = 12°.

A permeable layer is underlain by an impervious layer, as shown in Figure 7.30. With k = 5.2 × 10¬ª cm/s for the permeable layer, calculate the rate of seepage through it in m'/hr/m if H = 3.8 m and a = 12°.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Q A layer of sand extends from ground level to a depth of 9 m and overlies a layer of clay, of very low permeability, 6 m thick. The water table is 6 m below the surface of the sand. The saturated unit weight of the sand is 19 kN/m3 and that of the clay 20 kN/ m3; the unit weight of the sand above the water table is 17 kN/m3. Over a short period of time the water table lowers by 3 m and is expected to remain permanently at this new level. Determine the effective vertical stress at depths of 8 and 12 m below ground level (a)immediately after the lowering of water table and (b)Several years after the lowering of the water table. Explain your answer for each part.
A permeable soil layer is underlain by an impervious layer, as shown in Figure 6.13. With k-5.2 x 10 cm/s for the permeable layer, calculate the rate of seepage through it in m³/hr/m length. Given: H=3.8 m and a = 8º. Direction of seepage FIG. 6.13 Impervious layer Ground surface -Groundwater table (free surface)
Water flows through a sand filter as shown on the figure. The soil has a cross sectional area of 0.39 m². d1=d2=d3=0.52 m. Head difference is 0.93 m. Inflow Outflow Soil A Soil B Soil C d2 d3 Coefficient of Permeability for Each Soil: Soil A Kax 2.92 x 10-2 cm/s Soil A Kaz 1.36 x 10-3 cm/s Soil B Kbx 1.67 x 10.2 cm/s Soil B Kbz 2.92 x 10-3 cm/s Soil CKcx 3.28 x 102 cm/s Soil C Kcz 3.49 x 10-3 cm/s Compute the coefficient of permeability of the sand filler in cm/s. Use 4 decimal places
Consider a saturated clay layer of thickness of 6 m on top of a layer of stiff sand. The clay has an initial porosity of 18%Following lowering water level, the clay porosity is reduced to 12%. What is the change in the thickness of the clay layer (corresponding to subsidence) caused by lowering of the water table?
7.1 A permeable soil layer is underlain by an impervious layer as shown in Figure 7.29. Knowing that k = 6 x 10-³ cm/sec for the permeable layer, calculate the rate of seepage through this layer in m³/hr/m width. Given: H = 5.4 m and α = 7°. Groundwater table (free surface) H Impervious layer Ground surface Direction of seepage
The permeability of sand in horizontal and vertical directions are 3 × 10- 3 cm/sec and 1 x 10-3 cm/sec and the permeability of clay in horizontal and vertical directions are 9 x 10-7 cm/sec and 3 × 10-9 cm/sec, then the ratio of X seepage Loss per meter length of dam in sand to clay is:
The 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 m², 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. (は) A H2 Valve (open) Inflow
A permeable soil layer is underlain by an impervious layer, as shown in Figure 6.13. With k = 5.2 × 10–4 cm/s for the permeable layer, calculate the rate of seepage through it in m3 /hr/m length. Given: H = 3.8 m and α = 8°.
The hydraulic conductivity of a clayey soil is 4 x 10^-7 cm/sec. The viscosity of water at 25 deg C is 0.0911x10^-4 g.sec/sq.cm. Calculate the absolute permeability of the soil in sq.cm.
Problem 7.2 only.