Applied Hydrogeology - Fetter - 4t Edition - Chapter 3 - Solutions

3.1 Answers to odd-numbered problems appear at the end of the book.What is the weight in Newtons of an object with a mass of 14.5 kg?
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3.2 Answers to odd-numbered problems appear at the end of the book.What is the weight in pounds of an object with a mass of 123 slugs?
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3.3 Answers to odd-numbered problems appear at the end of the book.An object has a mass of 78.5 kg and a volume of 0.45 m3.
(A) What is its density?
(B) What is its specific weight?
(C) Is the object more or less dense than water?

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3.4 Answers to odd-numbered problems appear at the end of the book.An object has a mass of 823 kg and a volume of 0.62 m3.
(A) What is its density?
(B) What is its specific weight?
(C) Is it more or less dense than water?

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3.5 Answers to odd-numbered problems appear at the end of the book.The hydraulic conductivity of a silty sand was measured in a laboratory permeameter and found to be 3.75 ×105 cm/s at 25°C What is the intrinsic permeability in cm2? Refer to Appendix 14 for values of densitv and viscosity.
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3.6 Answers to odd-numbered problems appear at the end of the book.The hydraulic conductivity of a coarse sand was measured in a laboratory permeameter and found to be 1.03 × 10−2 cm/s at 25°C What is the intrinsic permeability? Refer to Appendix 14 to obtain values for density and viscosity.
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3.7 Answers to odd-numbered problems appear at the end of the book.A constant-head permeameter has a cross-sectional area of 78.5 cm2. The sample is 23 cm long. At a head of 3.4cm, the permeameter discharges 50 cm3 in 38 s.
(A) What is the hydraulic conductivity in centimeters per second and feet per day?
(B) What is the intrinsic permeability if the hydraulic conductivity was measured at 15°C?
(C) From the hydraulic conductivity value, name the type of soil.

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3.8 Answers to odd-numbered problems appear at the end of the book.A constant-head permeameter has a cross-sectional area of 127 cm2. The sample is 34 cm long. At a head of 15 cm, the permeameter discharges 50 cm3 in 334 s.
(A) What is the hydraulic conductivity in centimeters per second and feet per day?
(B)  What is the intrinsic permeability if the hydraulic conductivity was measured at 20°C?
(C) From the hydraulic conductivity value, name the type of soil.

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3.9 Answers to odd-numbered problems appear at the end of the book.An aquifer has a specific yield of 0.19. During a drought period, the following average declines in the water table were noted:...What was the total volume of water represented by the decline in the water table?
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3.10 Answers to odd-numbered problems appear at the end of the book.An aquifer has a specific yield of 0.24. During a drought period, the following average declines in the water table were noted:...What was the total volume of water represented by the decline in the water table?
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3.11 Answers to odd-numbered problems appear at the end of the book.A confined aquifer has a specific storage of 1.022 × 10−6 ft−1 and a thickness of 23 ft. How much water would it yield if the water declined an average of 1.75 ft over a circular area with a radius of 418 ft?
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3.12 Answers to odd-numbered problems appear at the end of the book.A confined aquifer has a specific storage of 7.239 × 10−3 m−1 and a thickness of 28 m. How much water would it yield if the water declined an average of 3.4 m over a circular area with a radius of 238 m?
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3.13 Answers to odd-numbered problems appear at the end of the book.A confined aquifer has a specific storage of 4.033 × 10−3 m−1 and a porosity of 0.274. The compressibility of water is 4.6 × 10−10 m2/N. What is the compressibility of the aquifer skeleton?
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3.14 Answers to odd-numbered problems appear at the end of the book.A confined aquifer has a specific storage of 8.8 ×10−6 m−1 and a porosity of 0.33. The compressibility of water is 4.6 × 10−10 m2/N. What is the compressibility of the aquifer skeleton?
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3.15 Answers to odd-numbered problems appear at the end of the book.An aquifer has three different formations. Formation A has a thickness of 22 ft and a hydraulic conductivity of 17.0 ft/d. Formation B has a thickness of 3.5 ft and a conductivity of 99 ft/d. Formation C has a thickness of 26 ft and a conductivity of 22 ft/d. Assume that each formation is isotropic and homogeneous. Compute both the overall horizontal and vertical conductivities.
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3.16 Answers to odd-numbered problems appear at the end of the book.An aquifer has three different formations. Formation A has a thickness of 8.4m and a hydraulic conductivity of 22.3 m/d. Formation B has a thickness of 2.8 m and a conductivity of 144 m/d. Formation C has a thickness of 33 m and a conductivity of 35 m/d. Assume that each formation is isotropic and homogeneous. Compute both the overall horizontal and vertical conductivities.
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3.17 Answers to odd-numbered problems appear at the end of the book.Use the Hazen method to estimate the hydraulic conductivity of the sediments graphed in Figure 3.33.
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3.18 Answers to odd-numbered problems appear at the end of the book.Determine the effective grain size and uniformity coefficient of the sediments graphed in Figure 3.33.
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3.19 Answers to odd-numbered problems appear at the end of the book.Given the following set of data representing the hydraulic conductivity of core samples from the same formation, perform the following:
(A) Find the arithmetic mean of the data set.(B) Find the geometric mean of the data set.(C) Make a histogram of the data set.(D) Make a histogram of the log transformed data.
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3.20 Answers to odd-numbered problems appear at the end of the book.Repeat Problem 19 using Excel functions and graphing.
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