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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1) A dry rock weighs 240 grams and has a bulk density of 2.5 grams per cubic centimeter. Whensaturated with pure water at room temperature (T = 25 °C), it weighs 255 grams. At room temperature,specific volume of water is 1.00295E-03 m3/kg. Calculate the porosity of the sample.
2) A cylindrical core sample of 1.5 cm length and 1.2 cm2cross-section has upstream and downstreampressures of 2 atm and 1.25 atm, respectively, during steady state flow of water at 1.00 g/s at roomtemperature. Calculate the permeability of the core. (Water @ 25 °C, viscosity = 1 cp, density of water = 0.997 g/cm3).
The contour map in Figure 1 depicts porosity variation within a sandstone reservoir. The lines connect points of equal porosity. If reservoir is 10 miles long, 3 miles wide, 100 ft thick and Table 1 depicts the area and thickness. Analyze:
a) An average porosity.
b) the most possible average pore volume in barrel
Find out the change in length in a rock mass. while the strain recorded is 3% and the original length of that mass is 4 cm. Q:5 b) How the property of permeability generates in soil and find out the hydraulic conductivity of a rock when change in height is 6 cm and the original height of the sample is 8 cm. the volume recorded in outlet is 20cm^3 in 20 min. the diameter of intact saturated rock mass is 5 cm. *
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Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A rock with 4% water absorption by weight has a dry weight of 656 g, a degree of saturation of 27%, Its weight in water is 415.45 g and its specific gravity is 2.72. This rock; a) Apparent and total porosity b) Natural and grain unit volume weight c) water content calculate.arrow_forwardA rock mass has initial unit weight equal to y and, after loosening, it assumes unit weight y,. A coefficient of loosening (n) was defined by Müller (1978) n = Y A jointed sedimentary rock mass assumes a value ofn = 0.35 after loosening and 0.08 after recompaction. Calculate the corresponding val- of y1. (y = 27 kN/m') (b) Crystalline igneous rocks like granite, gneiss, and diabase have a range of values ofn = 0,35 to 0,50 after losening and 0.08 to 0.25 after recompaction. Compute the corresponding values of the unit weight (y.)arrow_forwardThe figure shows a cross section through the strata underlying a site of which the permeability properties are of importance. Assume the coefficient of permeability in the horizontal and vertical directions to be the same in each stratum. (each layer is hydraulically isotropic). Estimate the ratio of equivalent hydraulic conductivity: kh(eq)/kv(eq) A: h=4.1 m, k=11x10^-4 mm/s B: h=1.49 m, k=69x10^-5 mm/s C: h=1.16 m, k=36x10^-7 mm/s D: h=2.91 m, k=51x10^-10 mm/sarrow_forward
- A cylindrical rock sample has a porosity of 27%. The dimensions of the core are 15 cm in length and 5.6 cm in diameter. Calculate the pore volume.arrow_forwardA large piece of dry rock has a mass of 2450 kg and volumeof 0.925 m3. The specific gravity of the rock mineral is 2.80.Determine the porosity of the rock.arrow_forwardThe volume of the rock is found to be 0.00015 m^3. If the rock's specific gravity is 2.60, what is its weight in N?arrow_forward
- Absolute and effective porosity is a kind of measurement of porosity percentage in a reservoir rock, however, the distinguished point to separate them is depend on: Type of porosity Size of porosity connection between the pores None of thesearrow_forwardThe upstream pressure on a rock sample is 0.113MPa and the downstream pressure is 0.1MPa. Under this pressure difference, a gas with the viscosity of 0.018 mPa·s flows through the rock sample. The diameter of this sample is 2.5cm, its length is 2.8cm. The volumetric flow rate at the outlet face is 0.514cm3/s. Calculate the gas permeability of this rock sample.arrow_forwardA layer of sand 6 m thick lies beneath a clay stratum 5 m thick and above abed thick shale. In order to determine the permeability of sand, a well was driven to the top of the shale and water pumped out at a rate of 0.01m3/sec. Two observation wells driven through the clay at 15m and 30 m from the pumping well and water was found to rise to levels of 3m and 2.4 m below the ground water surface. Calculate the permeability of soil.arrow_forward
- Consider the upward flow of water through a layer of sand in a tank as shown in Figure below. For the sand, the following are given: void ratio (e) = 0.40 and specific gravity of solids = 2.65. i. Calculate the total stress, pore water pressure, and effective stress at points A and B. ii. What is the upward seepage force per unit volume of soil?arrow_forwardIn a sample of sand, water seeps at a volume of 158 cm3 in 7.89 minutes. If the seepage area and thickness of the specimen are 69 cm2 and 0.628 m, respectively, what is the permeability coefficient? The water has a head of 34 cm.arrow_forwardFor a decreasing load permeability test, the following are given values: - Sample length: 200 mm - Soil sample area: 1000 mm² - Piezometer area: 40 mm² - Load difference at instant t = 0: 500 mm - Load difference at instant t = 180 s: 300 mm Determine the hydraulic conductivity of the soil in cm/s.arrow_forward
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