4. A large Darcy permeameter is filled with silty sand (K=10-6 m/s) has a cross-sectional area of 1.5 square meters and a length between piezometer outputs of 1 m. If the drop in head between the 2 piezometers is 85 centimeters, how much discharge should be coming through the final output?
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- A pump well is dug through a confined aquifer having a thickness of 32 meters. The piezometric surface of the aquifer is 18 meters measured from the top impermeable layer. The first observation well is 75 feet directly west of the pump well and the second observation well is 75 feet directly north of the first observation well. Determine the hydraulic conductivity of the aquifer if it supplies a discharge of 10 liters per second and the drawdown of the observation wells are 13 feet and 23 feet.Refer to Figure 7.24. The following data were collected during the field permeability measurement of a confined aquifer using a pumping test. Determine the hydraulic conductivity of the permeable layer. Use Eq. (7.49). Thickness of the aquifer, H = 4.5 m Piezometric level and radial distance of the first observation well: h1 = 2.9 m; r1 = 17.8 m Piezometric level and radial distance of the second observation well: h2 = 1.8 m; r2 = 8.1 m Rate of discharge from pumping, q = 0.5 m3/minA 500 m long levee made of compacted clay impoundswater in a reservoir as shown in attached Figure There is a 1 mthick (measured in the direction perpendicular to the seam)sand seam continuing along the entire length of the levee, at10° inclination to the horizontal, which connects the reservoirand the ditch. The hydraulic conductivity of the sand is2.6 X 10-3 cm/s. Determine the volume of water that flowsinto the ditch every day.
- A confined aquifer is recharged by a continuous supply of water from the certain source. The average thickness of the aquifer was determined to be 25 m and the average width is 4 km. The hydraulic conductivity of the aquifer was obtained at 40 m/day and its void ratio is 0.3333. The piezometer heads in two wells 1.325 km apart are 65 meters and 60 meters from a common reference datum. Determine the rate of flow in cubic meters per day.A clay sample is 2.5 cm high and has a diameter of 6.5 cm. It is placed in an oedometer with a variable- head permeameter. The water percolation through the sample is measured in a standpipe whose inner diameter is 1.7 mm. The tube is graduated in centimeters from the top to the bottom. The top graduation is zero and is located 35 cm above the base of the oedometer. The overflow in the oedometer is 3 cmabove its base. At the start of the test, the water level in the tube is at zero; 6 mins and 35 sees later, the water level has dropped to graduation 2. What is the coefficient of permeability of the clay in cm/s?P 4: A sand sample of 35cm2 cross sectional area and 20cm long was tested in a constant head permeameter. Under a head of 60cm, the discharge was 120ml in 6min. The dry weight of sand used for the test was 1120g, and G3=2.68. Determine (a) the hydraulic conductivity in cm/s, (b) the discharge velocity, and (c) the seepage velocity. Answers: a) 3.174 x 103 cm/s, b) 9.52 x 10³ cm/s, c) 2.36 x 10-² cm/s
- A 2‐ft diameter well penetrates vertically through a confined aquifer 50 ft thick. When the well is pumped at 500 gpm, the drawdown in a well 50 ft away is 10 ft and in another well 100 ft away is 3 ft.(a) What is the approximate head in the pumped well for steady‐state conditions, and what is the approximate drawdown in the well?(b) Compute the transmissivity. Take the initial piezometric level as 100 ft above the datum.Problem G: For Problem 27 to 28. In a constant head permeability test the following are given L= 250 mm and A=105 cm?. If the value of k = 0.014 cm/secand flow rate of 120 cm3/min which is to be maintained. 27) What is the head difference, h in the specimen? b) 34.341 cm 28) Determine the discharge velocity in cm/sec? b) 0.109 a)34.136 cm c) 33.901 cm d) 34.014 cm a) 0.0189 c) 1.019X102 d) 0.019Nf : 5 Nd=16 25 m Question 4 Seepage take place beneath a concrete dam as shown in Figure 2. The soil beneath the dam is a fine silty sand with hydraulic conductivity of 4.2 x 10“cm/s and saturated unit weight of 19.5 kN/m³. 6 m 1.75 m: 1) Find the rate of seepage beneath the dam in m³/day/m 2) If a standpipe piezometer is installed at the tip of the sheet pile, how high will the water rise? Impervious stratum
- A falling-head permeameter containing a silty, fine sand has a falling-head tube diameter of 4.2 cm, a sample diameter of 10.4 cm, and a length of 15.6 cm. The initial head is 15.5 cm. It falls to 1.4 cm over a period of 468 min. Find the hydraulic conductivity.CEN-333 Geotechnical1. A confined aquifer is recharged by a continuous supply of water from the certain source. The average thickness of the aquifer was determined to be 18 m and the average width is 8 km. The hydraulic conductivity of the aquifer was obtained at 60 m/day and its void ratio is 0.1586. The piezometer heads in two wells 2,145m apart are 128 meters and 188 meters from a common reference datum. Determine: •compute the rate of flow through the aquifer in m3/day •compute the seepage velocity in m/day •compute the time of travel from the head of the aquifer to a point 8 km downstream in days