Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 6, Problem 6.9P
To determine
Find the hydraulic conductivity of the oil flowing through the same rock specimen (k).
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A limestone core sample is saturated 100% with water. Calculate the absolute permeability
of the core sample if the water is flowing at 4.15 cubic centimetres per second. The length of
the core sample is 13.61 centimetres and its diameters if 7.13 centimetres. The pressure
differential across the core sample is 25 atmospheric pressure and the water viscosity is 1.1
centipoises.
Explain a method of how the permeability of this reservoir can be improved.
Question 4.5
A rock sample has a length of 20.32 cm and a diameter of 5 cm. The pressure
profile inside the core sample is given below, where nitrogen of viscosity 0.0178
cP is flowing at a constant rate of 55 cm³/s. What is the permeability of the sample
if the flow is in accordance with Darcy's law?
450
400
350 -
300
250 -
P [psig]
200
150
100 -
50
1
3.
4
7
8
9.
Distance from inlet [in]
6
Refer to the constant-head arrangement shown in the figure.
L
Graduated flask
Porous stone
Soil specimen
For a test, the following are given:
•L=18 in.
• A = Area of the specimen = 3.5 in.2
• Constant-head difference = h = 28 in.
• Water collected in 3 min =21.58 in.3
Chapter 6 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- 2. Sand at a given relative density has a friction angle of approximately 33° (relatively low stress). When the sample is unsaturated at a given value of saturation (not given to you), the specimen has a negative pore pressure of 5 kPa. How tall a sandcastle "vertical" wall can you construct? What would happen to your sandcastle if the level of saturation suddenly increased? (Assume a total unit weight of 18 kN/m³)arrow_forwardFor a falling head permeability test, the following values are given: Length of specimen: 200 mm Area of specimen:1000 sq. mm Area of standpipe: 40 sq. mm Head difference at t= 0: 500 mm Head difference at t= 180 sec : 300 mm Determine the hydraulic conductivity (cm/sec)arrow_forwardA sample of sand, 5 cm in diameter and 15 cm long, was prepared at a porosity of 60% in a constant-head apparatus. The total head was kept constant at 30 cm and the amount of water collected in 5 seconds was 40 cm^3. The test temperature was 20 deg C. Calculate the hydraulic conductivity. Provide a diagram a.5.0 x 10^-2 b.3.47 x 10^-2 c.2.0 x 10^-1 d.6.7 x 10^-1arrow_forward
- A constant-head test was conducted on a sample of soil 15 cm long and 60 cm^2 in cross-sectional area. The quantity of water collected was 50 cm^3 in 20 seconds under a head difference of 24 cm. Estimate the hydraulic conductivity in cm/s with a porosity of 35% from the result of test. a.2.6 x 10^-6 b.4.3 x 10^-3 c.7.0 x 10^-6 d.3.47 x 10^-2arrow_forwardRead the question carefully and give me right solution. Provide detailed solution with clear calculations. The hydraulic conductivity of a soil sample, measured at 25C, was 0.005 cm/s using water as the test fluid (density = 997.2 [kg m–3 ], viscosity = 0.0008872 [kg m–1 s –1 ]. Determine the conductivity for ethanol at 10C, density = 798 [kg m–3 ], viscosity = 0.001394 [kg m– 1 s –1 ]arrow_forwardIn a constant-head permeability test. A test gives these values: •L= 25 cm •A = 160 area of the specimen cm2 • Constant-head difference, h =1m • Water collected in a period of 5min and 40sec= 1 Liters Calculate the hydraulic conductivity in cm/sec.arrow_forward
- CVE 331: Theoretical hydraulic conductivity calculation Problem 1: The hydraulic conductivity of a sandy sol is 7x10 cm/sec at void ratio 0.68. What is the hydraulic conductivity at void ratio 0.85 ? (o.re) A= 2,42e k2 ei Problem 2: The hydraulic conductivity of a clay soil is 121o* cm/sec at void ratio 0.56, and 3.1x10 cm/sec at void ratio 0.74. What is the hydraulic conductivity the soll at void ratio 0.65 ? e3 ki %3D - 3. 797 GRAIN SIZE DISTRIBUTION GRAPH. A- PROJECEarrow_forwardEstimate the ratio of equivalent hydraulic conductivityarrow_forwardCalculate the effective hydraulic conductivity for flow parallel and perpendicular to layering. Please show and explain the difference in values.arrow_forward
- The hydraulic conductivity, k of sool is 9.11x10^-6 cm/s at a temperature of 20 degrees C. Determine its absolute permeability at 20 degrees C, given that at 20 degrees C Yw =9.789 kN/m^3 and n= 1.045x10^-3 N•s/m^2arrow_forwardA cubic meter of dry (no water) quartz sand (G, = 2.65) with a porosity of 60% is immersed in an oil bath having a unit weight of 0.92 g/cm³. How much force in addition to the upthrust (buoyant force) is required to prevent the sand from sinking if the soil contains 0.27m³ of entrapped air after submergence?arrow_forward6.5 Refer to Figure 6.4. For a constant head permeability test in a sand, the following values are given: • L = 350 mm • A= 125 cm² • h = 420 mm • • Water collected in 3 min = 580 cm³ Void ratio of sand = 0.61 Determine: a. Hydraulic conductivity, k (cm/s) b. Seepage velocity dified conarrow_forward
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