Q 1 .An aquifer has following different formations, their thickness and Hydraulic conductivity are given below. Assume that each formation is isotropic and homogeneous. Compute both the equivalent horizontal and vertical hydraulic conductivities Formation Thickness (m) Hydraulic Conductivity ( m/day) 24 2 8. 12 3 15 4 9 5 6 10 7 1 10 8 20 9. 1 10 10 18 11 8. 29 12 29 13 6. 9 14 16 15 10 26 16 4 9. 17 4. 18 4. 1 19 29 20 25 21 8 12 22 4 23 23 6. 18 24 7. 30 25 8 29 26 6. 28 27 28 28 9. 14 29 4 14 30 2 31 8. 4 32 3. 1 33 3. 19 34 2 13

Q 1 .An aquifer has following different formations, their thickness and Hydraulic conductivity are given below. Assume that each formation is isotropic and homogeneous. Compute both the equivalent horizontal and vertical hydraulic conductivities Formation Thickness (m) Hydraulic Conductivity ( m/day) 24 2 8. 12 3 15 4 9 5 6 10 7 1 10 8 20 9. 1 10 10 18 11 8. 29 12 29 13 6. 9 14 16 15 10 26 16 4 9. 17 4. 18 4. 1 19 29 20 25 21 8 12 22 4 23 23 6. 18 24 7. 30 25 8 29 26 6. 28 27 28 28 9. 14 29 4 14 30 2 31 8. 4 32 3. 1 33 3. 19 34 2 13

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 7.22P: Refer to Figure 7.24. The following data were collected during the field permeability measurement of...

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Solve for the ratio of equivalent hydraulic conductivity with the following given: h1 = 2 m h2 = 2.5 m h3 = 1.8 m h4 = 0.9 m k1 = 1.5E-3 cm/sec k2 = 2.2E-4 cm/sec k3 = 1.6E-4 cm/sec k4 = 4.0E-4 cm/sec What is the equivalent coefficient of permeability if the water flows perpendicular to the layer of soil (KeqV) in cm/sec?
Given: velocity of flow = 0.0375 m/s coefficient =0.05 m/s porosity p =48% slope S = 3/4 Given the coefficient =0.05 m/s and porosity p =48%, find the transmissibility (T) in m/s per unit m, if the aquifer width is 1.2 m.
9. From the figure shown: (See picture below) Cross-sectional area = 0.6m2 Hydraulic Conductivity of sand = 0.1 cm/sec What is the rate of upward seepage of water? (Answer: 360 cm3/sec) What would be the critical hydraulic gradient? (Answer: 1.12 m) What value of h to cause boiling? (Answer: 2.8 m)
Solve for the ratio of equivalent hydraulic conductivity with the following given: h1 = 2 m h2 = 2.5 m h3 = 1.8 m h4 = 0.9 m k1 = 1.5E-3 cm/sec k2 = 2.2E-4 cm/sec k3 = 1.6E-4 cm/sec k4 = 4.0E-4 cm/sec What is the equivalent coefficient of permeability if the water flows parallel to the layer of soil (KeqH) in cm/sec?
Three piezometers have been installed in the confined aquifer shown in Figure 2 below. The aquifer has a uniform thickness of 3.5 m and a hydraulic conductivity of 2x10-1 cm/s. Determine the hydraulic gradient, the direction of flow, the transmissivity, and the flow rate per unit width of the aquifer.
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.
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/min
CALCULATION USING DARCY'S LAW 1) An aquifer has 2 piezometers installed (A and B) and the distance between them is 1km, the hydraulic loads are 850m and 625m respectively. The average hydraulic conductivity of the aquifer is 3.9 x 10-2 m/day and the effective porosity is 25%, calculate how long in years it takes for the water to walk between piezometer A and B.
A confined aquifer has a source of recharge as shown in the figure. The hydraulic conductivity of theaquifer is 40m per day and its porosity is 0.25. The piezo metric head in the two wells with 13.25 mapart are 65m and 60m respectively from a common data. The average thickness of the aquifer is25m and the average width is 4km.a. Compute the rate of flow through the aquifer in cu.m per day.b. Compute the seepage velocityc. Compute the time of travel from the head of the aquifer to a point 4 km downstream in days.
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Given: velocity of flow = 0.0375 m/s coefficient =0.05 m/s porosity p =48% slope S = 3/4 The soil porosity in the area where the 46-cm diameter well is 48%, find the discharge of the groundwater. Given the coefficient =0.05 m/s and porosity p =48%, find the transmissibility (T) in m/s per unit m, if the aquifer width is 1.2 m. Given the discharge Q get in Question #1, transmissibility T in Question#2, slope S = 3/4; find the aquifer width X.
Solve for the ratio of equivalent hydraulic conductivity with the following given: h1 = 2 m h2 = 2.5 m h3 = 1.8 m h4 = 0.9 m k1 = 1.5E-3 cm/sec k2 = 2.2E-4 cm/sec k3 = 1.6E-4 cm/sec k4 = 4.0E-4 cm/sec What is the ratio of equivalent hydraulic conductivity?