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 co-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 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 co-0.2 ]

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter7: Permeability

Section: Chapter Questions

Problem 7.18P

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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 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 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 sold particles, volume of voids, total density, dry density, void ratio, porosity, moisture content.
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).
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]
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
A 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.)
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.
A reservoir-rock sample has a porosity of 0. 18 measured at 14.7 psis. The rock compressibility is0.77 X 10 5psi *.What would the rock porosity be at 2,000 and at 3,000 psis? Plot the relationship be tween ¢ and p in a pressure range of 14.7 to 5,000 psis
Find the value of void ratio Porosity=0.712
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.
Question 4 The porosity of a rock sample is 0.155, and its bulk volume is 85 cm. at the ground level at ambient conditions. The porosity of this sample drops by 20% at a depth of 12000 ft. Find the pore compressibility of this sample assuming constant temperature, given that the overburden pressure gradient is 0.96 psig/ft.