Question 11 A cylindrical sediment core sample with the dimensions: diameter = 10[cm] and length = 30[cm] is placed in a Darcy experimental setup (see figure below) and fully re-saturated. At steady state the following information was recorded: hydraulic heads h₁ = 14.5[cm] and h₂ = 10.2[cm], flow Q = 6.5[ml/min]. cross-sectional area, A sand Datum, -0 Please calculate the following and provide answers with three significant figures: a) Hydraulic conductivity (K) in the unit m/day. K= [m/day] b) Intrinsic permeability (k) assuming that the fluid used in the experiment is pure water at 25°C Report result using scientific notation and in the unit of m². [m²] k c) Average linear pore water velocity (ur) in m/s. Assume that the effective porosity (ne) is half the total porosity of 0.3. Report the result in the unit m/d up = [m/d]

Question 11 A cylindrical sediment core sample with the dimensions: diameter = 10[cm] and length = 30[cm] is placed in a Darcy experimental setup (see figure below) and fully re-saturated. At steady state the following information was recorded: hydraulic heads h₁ = 14.5[cm] and h₂ = 10.2[cm], flow Q = 6.5[ml/min]. cross-sectional area, A sand Datum, -0 Please calculate the following and provide answers with three significant figures: a) Hydraulic conductivity (K) in the unit m/day. K= [m/day] b) Intrinsic permeability (k) assuming that the fluid used in the experiment is pure water at 25°C Report result using scientific notation and in the unit of m². [m²] k c) Average linear pore water velocity (ur) in m/s. Assume that the effective porosity (ne) is half the total porosity of 0.3. Report the result in the unit m/d up = [m/d]

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Prob. A falling head permeability test was performed on a sample of silty sand. The time required for the head to fall in the standpipe from the 60 cm to 30 cm mark was 70 minutes. The sectional area of the standpipe was 1.25 cm?. If the height and diameter of the sample were respectively 100 mm and 90 mm, determine the value of K.
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A constant head permeameter, 85 mm in diameter containing fine sand sample 450 mm long, allowed water to flow at a rate of 184 mL/min under steady flow conditions. Given the difference in head between two points 240 mm apart was 375 mm, determine the coefficient of permeability in mm/s. When the same sample size is tested in a falling head apparatus using a stand-pipe of 32.5 mm diameter, calculate the time required for the water in the stand-pipe to drop from 1750 mm to 1000 mm above the outflow level.
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A falling head permeability test was performed on a sample of silty sand. The time required for the head to fall in the standpipe from 60 cm to the 30 cm mark was 70 min. The cross-sectional area of the standpipe was 1.25 cm2. If the height and diameter of the sample were respectively 10 and 9 cm, determine the value k in cm/min.
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A 50 mm diameter and 90 mm-long silty clay sample was subjected to a falling head permeameter test using a setup similar to the one shown in Figure 6.4b, where the inner diameter of the standpipe was 3.0 mm. The head dropped from 870 mm to 450 mm in 5 minutes. What is the permeability of the sample?
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