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- A glass cylinder 5 cm internal diameter with a screen at the bottom is used as a falling head permeameter. The thickness of the sample is 10 cm. The water level in the tube at the start of the test was 40 cm above tail water level and it dropped by 10 cm in one minute while the level of tail water remained unchanged. Determine the value of the coefficient of permeability in mm/s. a. 5.9 x 10^-2 b. 4.8 X 10^-1 c. 2.15 x 10^-2 d. 625 X 10^-2Question 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] 61.) A volume of 3 cu. meter of water is subjected to a pressure increase of 17 MPa Compute the change in its volume in m3 if it has a bulk modulus of 2755 MPa.
- *A 40-lb, 0.8-ft-diameter, 1-ft-tall cylindrical tank slides slowly down a ramp with a constant speed of 0.1 ft/s as shown in Figure 1 below. The uniform thickness oil layer on the ramp has a viscosity of 0.2 lb s/ft2. Determine the angle, 0, of the ramp. 0.0025 ft T TANK 1 ft Figure 1 Ө OILProblem# 2: Consider Darcy's experiment. hl= 95.0cm, h2 = 37.0cm, As =20.0cm, Q =3.5cm3/min, and the tube has a radius of 1.5cm. Calculate K and give your result in cm/sec. What kind of granular material might have a K value like this?Boundary Layer Theory A thin flat plate having dimension 0.5 m x 0.7 m in size settles in a large tank of water with a terminal velocity of 0.12 m/s. The viscosity and density of water are given as 10-3 N-s/m² and 103 kg/m³. Then find the weight(N) of the plate? Given thickness of plate is negligible.
- On close investigation of a sample it was found to be in three layers 20mm, 60mm, and 40mm. The permeability of these layers are 3x10-³mm/sec, 5x10-4mm/sec, and 17x10-4mm/sec respectively. Find kH kyi H, +kµz ·H, +kµ3 H; +…+ k, · H, H2. 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 =One of the most challenging problems in environmental remediation is isolated blobs of contaminated fluid that become trapped in soils by capillary forces (i.e., surface tension). The pore space can be analyzed by analogy to a thin-diameter glass tube. Under the conditions given, what is the maximum length of water, I, that can be retained in the vertical glass tube shown? [mm] • contact angle 0 = 0⁰ • surface tension o= 72 dyn/cm = 0.072 N/m • tube diameter D = 2.0 mm • ● neglect the small volume of water above the meniscus the weight of water completely removes the curvature in the lower air-water interface
- Example 4.3 The following compression readings were taken during an oedometer test on a saturated clay specimen (G,=D2.73) when the applied pressure was increased from 214 to 429 kPa: TABLE G 1 Time (min) 1 4 9. 16 25 4 Gauge (mm) Time (min) 5.00 4.67 4.62 4.53 4.41 4.28 4.01 3.75 3.49 36 49 64 81 100 200 400 1440 Gauge (mm) 3.28 3.15 3.06 3.00 2.96 2.84 2.76 2.61 After 1440nmin, the thickness of the specimen was 13.60mm and the water content was 35.9%. Determine the coefficient of consolidation from both the log time and the root time methods and the values of the three compression ratios. Determine also the value of the coefficient of permeability.An aluminum block (SG=2.5) has a dimension of 0.22 m x 0.22 m xh meters. It is floating in mercury (SG-13.6) and the submerged height of the block is 0.72 m. Determine the weight (kN) of the block.(a) A particular soll sample was run thru a stack a sieves and the data shown below was obtained. Find the hydraulic conductivity in (1) gpd/12 (2) m/day (b) This method of estimating K is sufficient for some purposes, but does not glve an accurate figure of the soll's true hydraulic conductivity, even when weighing errors and graphing errors are considered. 10. Why? Cumulative Cumulative weight in grams Pan # # 6 # 8 8. # 12 54 # 16 99 # 20 166 # 40 215 #70 224 Pan 238