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(Solved): SOIL MECHANICS A. A permeable soil layer is underlain by an impervious layer as shown in Figure 1. ...



SOIL MECHANICSA. A permeable soil layer is underlain by an impervious layer as shown in Figure 1. Knowing that \( \mathrm{k}=4.8 \times 10^

A. A permeable soil layer is underlain by an impervious layer as shown in Figure 1. Knowing that \( \mathrm{k}=4.8 \times 10^{-3} \mathrm{~cm} / \mathrm{sec} \) for the permeable layer, calculate the rate of seepage through this layer in \( \mathrm{m}^{3} / \mathrm{hr} / \mathrm{m} \) width. Given: \( \mathrm{H}=3.8 \mathrm{~m} \) and \( \alpha=5^{\circ} \). (5 marks) Figure 1: Groundwater/soil profule B. The results of a constant-head permeability test as shown in Figure 2 for a fine sand sample having a diameter of \( 150 \mathrm{~mm} \) and a length of \( 300 \mathrm{~mm} \) are as follows: - Constant-head difference \( 500 \mathrm{~mm} \) - Water collected in \( 5 \min 350 \mathrm{~cm}^{3} \) - Void ratio of sand \( 0.61 \) Determine: i. Hydraulic conductivity, \( \mathrm{k}(\mathrm{cm} / \mathrm{sec}) \) (5 marks) ii. Seepage velocity (5 marks)


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A) Let horizontal length of the permeable soil layer is (x). ? H x L=xcos?? ?h=x tan?? H cos?? Length of the layer, (L)=xcos?? Head loss, (?h)=x tan??
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