Homework 1: a sample of rock has a total mass of 300 gm and a dry mass of 250 gm with a real specific weight of 2.77 and a degree of saturation of 80%. Find the following: Total volume, volume of solid particles, volume of voids, total density, dry density, void ratio, porosity, moisture content.

Homework 1: a sample of rock has a total mass of 300 gm and a dry mass of 250 gm with a real specific weight of 2.77 and a degree of saturation of 80%. Find the following: Total volume, volume of solid particles, volume of voids, total density, dry density, void ratio, porosity, moisture content.

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter6: Hydraulic Conductivity

Section: Chapter Questions

Problem 6.9P

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Concept explainers

Field applications of hydraulic conductivity

Hydraulic conductivity is one of the hydraulic properties of soil defined as a measurement of the ability of a porous medium to permit water movement or fluid flow through it. It is denoted by the letter K. It is influenced by the density and viscosity of the fluid. It is also called permeability. Hydraulic conductivity is defined as the ratio of velocity to the hydraulic gradient. The different methods used to determine the hydraulic conductivity are laboratory methods (constant head permeability tests and falling head tests), in-situ field methods (pumping in and pumping out tests), small scale field tests (infiltration tests and slug tests), and indirect methods such as estimation from grain size, consolidation test data, and horizontal capillary test. The pedotransfer function (PTF) method is a specific empirical estimating approach employed in the soil sciences is also used to determine the hydraulic conductivity of the soil.

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Homework 1: a sample of rock has a total mass of 300 gm and a dry mass of 250
gm with a real specific weight of 2.77 and a degree of saturation of 80%. Find the
following:
Total volume, volume of solid particles, volume of voids, total density, dry density,
void ratio, porosity, moisture content.

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Homework 1: a sample of rock has a total mass of 300 gm and a dry mass of 250 gm with a real specific weight of 2.77 and a degree of saturation of 80%. Find the following: Total volume, volume of solid particles, volume of voids, total density, dry density, void ratio, porosity, moisture content. Ans: V=152.75 cm³, V-90.25 cm³, V, 62.5 cm³, y-1.964 gm/ cm³, Ya 1. 64 gm/ cm³, e-0.693, n-0.41, and 6-0.2 ]
Homework 1: a sample of rock has a total mass of 300 gm and a dry mass of 250 gm with a real specific weight of 2.77 and a degree of saturation of 80%. Find the following: Total volume, volume of sold particles, volume of voids, total density, dry density, void ratio, porosity, moisture content. |Ans: V=152.75 cm', V,-90.25 cm', V-62.5 cm', y=1.964 gm/ cm', YF1. 64 gm/ cm', e-0.693, n=0.41, and o-0.2 ]
Homework 3: a saturated sample of rock with a total weight of 850 gm and a total volume of 475 cm3. When the rock was dried, rock weight was reduced to 600 gm. Find the following: The actual specific weight of the rock, the percentage of voids, the porosity, the air content, the total density, the apparent specific weight, the volume of water in the voids.
Homeworks 2. The following results were obtained from an oedometer test on a specimen of saturated clay: Pressure (kN/m?) 27 54 107 214 429 214 107 54 Void ratio 1.243 1.217 1.144 1.068 0.994 1.001 1.012 1.024 A layer of this clay 8m thick lies below a 4m depth of sand, the water table being at the surface. The saturated unit weight for both soils is 19kN/m3. A 4m depth of fill of unit weight 21 kN/m3 is placed on the sand over an extensive area. Determine the final settlement due to consolidation of the clay. -1 e -eo 1+e, o'y-o'vo my S = i=l
Homework 4: A dry rock sample of a weight equal to 1350 gm and a diameter of 7.5 cm and a height equal to twice the length. If you know that the size of the voids inside the rock is 180 cm³, find the following: Moisture content, real specific weight of the rock, percentage of voids, dry density, degree of saturation, air content. [Ans: o=0, G₁=2.797, e-0.373, ya-2.04 g/cm³, S,=0 and a. 1]
Pressure (kN/m²)27 54 107 214 429 214 107 54 Void ratio1.243 1.217 1.144 1.068 0.994 1.001 1.012 1.024 The table above shows results obtained from an oedometer test on a specimen of saturated clay. A layer of this clay 2.5 m thick lies below a 10 m depth of sand, the water table being at the surface. The saturated weight for both soils is 19 kN/m³. A 10-m depth of fill of unit weight of 21 kN/m³ is placed on the sand over an extensive area. If the fill was to be removed some time after the completion of consolidation, what heave (mm) would eventually take place due to swelling of the clay? (0 d.p). Use unit weight of water of 9.8 kN/m3. Use log base 10.
Find the value of void ratio Porosity=0.712
2. Refer to figure 8.16. Calculate o, u, o'at A, B, C, and D for the following cases and plot the variations with depth. (Note: e = void ratio, w =moisture content, Gg = specific gravity of soil solids, Ya = dry unit weight, and ysat = saturated unit weight.) н, 3 1.5 т Ya = 17.6 kN/m³ H2 = 1.83 m Ysat = 18.87 kN /m³ H3 = 2.44 m 19.65 kN /m3 Ysat =
10 A clay layer having a thickness of 13.19 m. has an initial void ratio of 1.18. It is compressed and the void ratio changed to 0.88. Determine the reduction in thickness, in mm., of the clay layer. Round off to three decimal places. Input the numerical value only.
QI: The following are the results of a laboratory consolidation test on a soil specimen obtained from the field: dry mass of specimen = 128 gm, height of specimen at the beginning of the test = 2.54 cm, Gs = 2.75, and area of the specimen = 30.68 cm². Final height of the specimen at the end of the consolidation (cm) 2.540 2.488 Effective pressure, ở(kN/m?) 50 100 2.465 200 2.431 2.389 2.324 400 800 1600 2.225 2.115 3200 Required: Make necessary calculations and draw an e versus log ở curve.
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
09) The saturated clay sample put into the wax with unit density of 0.8gm/cm and its weight 8gm. The total volume of the sample 227cm and its weight 394gm, find the unit weight of the clay?