(A) What is the total energy per unit mass?
(B) What is the total energy per unit weight?
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4.2 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.A fluid in an aquiler is 23.6 m above a reference datum, the fluid pressure is 4390 N/m2, and the flow velocity is 7.22 × 10−4 m/s. The fluid density ta 0.999 × 103 kg/m3.
(A) What is the total energy per unit mass?
(B) What is the total energy per unit weight?
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4.3 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.A piezometer is screened 725. 4 m above mean sea level. The point water pressure head in the piezometer is 17.9 m and the water in the aquifer is fresh at a temperature of 20°C.
(A) What is the total head in the aquifer at the point where the piezometer is screened?
(B) What is the fluid pressure in the aquifer at the point where the piezometer is screened?
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4.4 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.A piezometer point is 34.7 mabove mean sea level. The fluid pressurein the aquifer at that point is 7.87 × 105 N/m2. The aquifer has fresh water at a temperature of 10°C.
(A) What is the point-water pressure head?
(B) What is the total head?
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4.5 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.A piezometer in asaline wateraquifer has apoint-water pressure head of 18.72 m. If the water has a density of 1022 kg/m3 and is at a field temperature of 18°C, what is the equivalent fresh-water pressure head?
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4.6 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.The fluid pressure in the screen of a piezometer in a saline aquifer is 7.688 × 105 N/m2. The fluid density is 1035 kg/m3 and the temperature is 14°C. The elevation of the piezometer screen is 45.9 m above sea level.
(A) Compute the point-water pressure head.(B) Compute the fresh-water pressure head.(C) Find the total fresh-water head.
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4.7 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.A sand aquifer has a median pore-diameter of 0.232 mm. The fluid density is 1.003 × 103 kg/m3 and the fluid viscosity is 1.15 × 10−3 N·s/m2. If the flow rate is 0.0067 m/s, is Darcy’s law valid? What is the reason for your answer?
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4.8 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.An aquifer has a hydraulic conductivity of 12 ft/d and an effective porosity of 17% and is under a hydraulic gradient of 0.0055.
(A) Compute the specific discharge.(B) Compute the average linear velocity(C) The water temperature is 14°C and the mean pore diameter is 0.33 mm. Is it permissible to use Darcy’s law under these circumstances? What is the reason for your answer?
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4.9 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.A confined aquifer is 8 ft thick. The Potentiometric surface drops 1.33 ft between two wells that are 685 ft apart. The hydraulic conductivity is 251 ft/d and the effective porosily is 0.27.
(A) How many cubic feet per day are moving through a strip of the aquifer that is 10 ft wide?
(B) What is the average linear velocity?
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4.10 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.A confined aquifer is 18.5 m thick. The potentiometric surface drops 1.99 m between two wells that are 823 m apart. If the hydraulic conductivity of the aquifer is 4.35 m/d, how many cubic meters of flow are moving through the aquifer per unit width?
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4.11 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.An unconfined aquifer has a hydraulic conductivity of 87 × 10−2cm/s. There are two observation wells 597 ft apart. Both penetrate the aquifer to the bottom In one observation well the water stands 28.9 ft above the bottom, and in the other it is 26.2 ft above the bottom.
(A) What is the discharge per 100-ft-wide strip of the aquifer in cubic feet per day?
(B) What is the water lable elevation at a point midway between the two observation wells?
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4.12 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.An unconfined aquifer has a hydraulic conductivity of 3.3 × 10−4 m/d. There are two observation wells 348 m apart. Both penetrate the aquifer to the bottom. In one observation well the water stands 9.88 m abovethe bottom, and in the other it is 8.12 m above the bottom.
(A) What is the discharg per 100-m-wide strip of the aquifer in cubic feet per day?
(B) What is the water-table elevation at a point midway between the two observation wells?
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4.13 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.Refer to Figure 4.19. The hydraulic conductivity of the aquifer is 14.5 m/d. The value of h1, is 17.é m and the valuc of h2 is 15.3 m. The distance from h1 to h2 is 525 m. There is an average rate of recharge of 0.007 m/d.
(A) What is the average discharge per unit width at x = 0?
(B) What is the average discharge per unit width at x = 525 m?
(C) ls there a water table divide? If so, where is it located?
(D) What is the maximum height of the water table?
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4.14 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.Refer to Figure 4.19. The hydraulic conductivity of the aquifer is 86 ft/d. The value of h1 is 22.36 ft and the value of h2 is 20.77 ft. The distance from h1 to h2 is 1980 ft. There is an average rate of recharge of 0.004 ft/d.
(A) What is the average discharge per unit width at x = 0?
(B) What is the average discharge per unit width at x = 1980 ft?
(C) Is there a water-table divide? If so, where is it located?
(D) What is the maximum height of the water table?
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4.15 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.An earthen dam is constructed on an impermeable bedrock layer. It is 550 ft across (i.e., the distance water in the reservation to the tailwaters below the dam is 550 ft). The average hydraulic conductivity of the material used in the cam construction is 0.77 ft/d. The water in the reservation behind the dam is 35 ft deep and the tailwaters below the dam are 20 ft deep. Compute the volume of water hat seeps from the reservoir, through the dam, and into the tailwaters per 100-ft-wide strip of the dam in cubic feet per day.
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4.16 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.An earthen dam is constructed on animpermeable bedrock layer. It is 123 m across (i.e., the distance from the water in the reservoir to the tailwaters below the dam is 123 m). The average hydraulic conductivity of the material used in the dam construction is 1.33 m/d. The water in the reservoir behind the dam is 18.5m deep and the tailwaters below the dam are 4.6 m deep. Compute the volume of water that seeps from the reservoir, through the dam, and into the tailwaters per 100-m-wide strip of the dam in cubic meters per day.
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4.17 Answers to odd-numbered problems appear at the end of the book Assume g = 9.81 m/s2. Step-by-slep problem solutions to the odd-numbered problems are round on the Applied Hydrogeology web page. Values of density and viscosity of water at differing temperatures are found in Appendix 14.Draw a flow net for seepage through the earthen dam shown in Figure 4 20. If the hydraulic conductivity of the material used is the dam is 0.22 ft/d, what is the seepage per unit width per day?
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