An aquifer is overlain by 15 m of jointed rock. The density of the rock is 2500 kg/m. The density and compressibility of water are 1000 kg/m and 4.5 x 10-10 m2/N (Pa), respectively. Illustrate the system Calculate the total stress acting on the top of the aquifer. If the pressure head in the aquifer is 22 m, calculate the effective stress in the aquifer. If the aquifer is pumped and the hydraulic head at some point reduced by 5 m, what will be the resulting changes the pressure head, the fluid pressure, the effective stress, and the total stress? If the compressibility of the aquifer is 5 x 10° m-/N and its thickness is 7 m, how much compaction will the aquifer undergo during the head reduction in part (c)?

An aquifer is overlain by 15 m of jointed rock. The density of the rock is 2500 kg/m. The density and compressibility of water are 1000 kg/m and 4.5 x 10-10 m2/N (Pa), respectively. Illustrate the system Calculate the total stress acting on the top of the aquifer. If the pressure head in the aquifer is 22 m, calculate the effective stress in the aquifer. If the aquifer is pumped and the hydraulic head at some point reduced by 5 m, what will be the resulting changes the pressure head, the fluid pressure, the effective stress, and the total stress? If the compressibility of the aquifer is 5 x 10° m-/N and its thickness is 7 m, how much compaction will the aquifer undergo during the head reduction in part (c)?

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter10: Stresses In A Soil Mass

Section: Chapter Questions

Problem 10.19P

See similar textbooks

Related questions

Q: 1.5 m 0.7 m 1 m A 2 m B Valve (open) Inflow - Sand

Q: Consider a clay layer with a thickness of 36 meters and a Ccɛ = 0.2 and a Crɛ = 0.02. A circular…

A: Ccɛ = 0.2Crɛ = 0.02D = 20 mqo = 225 kPa

Q: Both a gage and a manometer are attached to a gas tank to measure its pressure. If the reading on…

Q: Using equation 6.14, determine the vertical stress (Aoz) increase below the center of paded area at…

A: Given Area = 6.35*3.35m^2 Depth 2m,4,6,8,10m q= 225kn/m^2 Calculate stress at different different…

Q: Calculate the induced vertical stress at point A at a depth of 5 feet. The surface stress in the…

A: Using stress influence chart for stresses under corner of a rectangular footing with uniform loading…

Q: Q.3) Determine the increase in vertical stress at a depth 4 m below point A due to surface loads…

Q: Refer to Figure 10.41. Determine the vertical stress increase, Ar, at point A with the following…

A: Vertical stress increase at the given point beneath the ground surface is given by a formula.…

Q: Problem - 3: The average density of rock is 2.75 tonnes/m³. Calculate the vertical stress at the…

A: Given : Average density of rock, Y = 2.75 tonnes/m3 Depth, z = 250 m Required : Vertical stress…

Question

An aquifer is overlain by 15 m of jointed rock. The density of the rock is 2500 kg/m3. The density and compressibility of water are 1000 kg/m and 4.5 x 10-10 m2/N (Pa), respectively.
Illustrate the system
Calculate the total stress acting on the top of the aquifer.
If the pressure head in the aquifer is 22 m, calculate the effective stress in the aquifer.
If the aquifer is pumped and the hydraulic head at some point is reduced by 5 m, what will be the resulting changes in the pressure head, the fluid pressure, the effective stress, and the total stress?
If the compressibility of the aquifer is 5 x 10° m-/N and its thickness is 7 m, how much compaction will the aquifer undergo during the head reduction in part (c)?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Stresses in saturated soil without seepage

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Refer to Figure 10.48. If R = 4 m and hw = height of water = 5 m, determine the vertical stress increases 2 m below the loaded area at radial distances where r = 0, 2, 4, 6, and 8 m. Circular contact area of radius R on the ground surface Figure 10.48
Refer to Figure 8.24. Determine the vertical stress increase, , at point A with the following values: q1 = 100 kN/m x1 = 3 m z = 2 m q2 = 200 kN/m x2 = 2 m FIG. 8.24 Stress at a point due to two line loads
For the same line loads given in Problem 10.8, determine the vertical stress increase, z, at a point located 4 m below the line load, q2. Refer to Figure 10.41. Determine the vertical stress increase, z, at point A with the following values: q1 = 110 kN/m, q2 = 440 kN/m, x1 = 6 m, x2 = 3 m, and z = 4 m. Figure 10.41
Refer to the flexible loaded rectangular area shown in Figure 10.47. Using Eq. (10.36), determine the vertical stress increase below the center of the loaded area at depths z = 3, 6, 9, 12, and 15 m. Figure 10.47
Use Eq. (6.14) to determine the stress increase () at z = 10 ft below the center of the area described in Problem 6.5. 6.5 Refer to Figure 6.6, which shows a flexible rectangular area. Given: B1 = 4 ft, B2 = 6 ft, L1, = 8 ft, and L2 = 10 ft. If the area is subjected to a uniform load of 3000 lb/ft2, determine the stress increase at a depth of 10 ft located immediately below point O. Figure 6.6 Stress below any point of a loaded flexible rectangular area
Refer to Figure 10.46. A flexible circular area of radius 6 m is uniformly loaded. Given: q = 565 kN/m2. Using Newmarks chart, determine the increase in vertical stress, z, at point A. Figure 10.46
Refer to Figure 10.42. Due to application of line loads q1 and q2, the vertical stress increase at point A is 58 kN/m2. Determine the magnitude of q2. Figure 10.42
Refer to Figure P3.3. Use Eqs. (3.10) and (3.11) to determine the variation of OCR and preconsolidation pressure c. FIGURE P3.3
A 10 ft diameter flexible loaded area is subjected to a uniform pressure of 1200 lb/ft2. Plot the variation of the vertical stress increase beneath the center with depth z = 0 to 20 ft. In the same plot, show the variation beneath the edge of the loaded area.
A point load of 1000 kN is applied at the ground level. Plot the variation of the vertical stress increase z with depth at horizontal distances of 1 m, 2 m, and 4 m from the load.
Refer to Figure 10.43. A strip load of q = 1450 lb/ft2 is applied over a width with B = 48 ft. Determine the increase in vertical stress at point A located z = 21 ft below the surface. Given x = 28.8 ft. Figure 10.43
Redo Problem 6.12 using Figure 6.15. 6.12 Refer to Problem 6.1. Using Eqs. (6.3) and (6.29), estimate the average stress increase (av) below the center of the loaded area between depths of 3 m and 6 m. 6.1 A flexible circular area is subjected to a uniformly distributed load of 150 kN/m2 (Figure 6.2). The diameter of the load area is 2 m. Determine the stress increase in a soil mass at points located 3 m below the loaded area at r = 0, 0.4 m, 0.8 m, and 1 m. Use Boussinesqs solution. Figure 6.2 Increase in pressure under a uniformly loaded flexible circular area