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

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

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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Concept explainers

Groundwater Flow

The term groundwater refers to the water which is found beneath the earth's surface. Pores present in the soil and rocks with fractures make a passage for rainwater to enter the earth's surface and deposit as groundwater. The flow nature and direction of groundwater under the earth's surface directly impacts the strength and compressibility of the soil, which reflects its ability to support structural loads.

Question

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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In a falling head permeability test, the following data was obtained: diameter of standpipe = 1.5 cm; diameter of sample = 10.16 cm; height of water level at beginning of test (h1) = 30 cm; length of sample (L) = 20 cm. The soil had a coefficient of permeability (k) equal to 3.4 x 10°cm/sec. If the test was conducted for a period of 8 hours, what was the water level at the end of the test (h2)? %3D Time when water level is at h, is t, (t,) a = area of standpipe Time when level is at 19% h, is t2 (t2) A = cross-sectional area of soil sample Soil sample
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(e) A soil profile consists of a clay layer between layers of sand, the water table being in theupper sand layer. Before the construction of a raft foundation for a large reservoir, piezometers were placed in the saturated clay layer. The whole process of filling the reservoir may be approximated to applying rapidly a single pressure increment of 200 kPa uniformly throughout the clay layer. One year after filling the reservoir, the piezometers indicated a distribution of excess porewater pressure as indicated in Figure Q-e. Estimate the average degree of consolidation at this time.
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