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 = 15.6[cm] and h₂=9.3[cm], flow Q = 2[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. k= [m²] c) Average linear pore water velocity (u) in m/s. Assume that the effective porosity (n) is half the total porosity of 0.3. Report the result in the unit m/d [m/d] 9.00

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter7: Permeability
Section: Chapter Questions
Problem 7.22P: Refer to Figure 7.24. The following data were collected during the field permeability measurement of...
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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 = 15.6[cm]
and h₂9.3[cm], flow Q = 2[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.
k=
c) Average linear pore water velocity (u) in m/s. Assume that the effective porosity (n) is half the total porosity of 0.3. Report the result
in the unit m/d
[m/d]
UL =
c
Transcribed Image Text: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 = 15.6[cm] and h₂9.3[cm], flow Q = 2[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. k= c) Average linear pore water velocity (u) in m/s. Assume that the effective porosity (n) is half the total porosity of 0.3. Report the result in the unit m/d [m/d] UL = c
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