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 s information was recorded: hydraulic heads hi = 14.1[cm] and ha = 10.5[cm], flow Q = 7.0[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.

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Chapter5: Analysis Of Convection Heat Transfer
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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 = 14.1[cm] and h2 = 10.5[cm], flow Q = 7.0[ml/min].
cross-sectional
area, A
sand
Datum, z=0
Please calculate the following and provide answers with three significant figures:
a) Hydraulic conductivity (K) in the unit m/day.
K =
Im/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 m?.
k =
c) Average linear pore water velocity (uL) 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
m/d]
UL
Transcribed Image Text: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 = 14.1[cm] and h2 = 10.5[cm], flow Q = 7.0[ml/min]. cross-sectional area, A sand Datum, z=0 Please calculate the following and provide answers with three significant figures: a) Hydraulic conductivity (K) in the unit m/day. K = Im/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 m?. k = c) Average linear pore water velocity (uL) 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 m/d] UL
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