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A laboratory experiment similar to the one conducted by Darcy is shown in Figure P-3. (a) What is the pressure head at point A in sand of the laboratory experiment shown below? (b) Assuming a porosity of 0.5 and 1k = 1 * 10 ^ - 1 cm/s, how long will it take a molecule of water to pass through from one end of the sand to the other?

A laboratory experiment similar to the one conducted by Darcy is shown in Figure P-3. (a) What is the pressure head at point A in sand of the laboratory experiment shown below? (b) Assuming a porosity of 0.5 and 1k = 1 * 10 ^ - 1 cm/s, how long will it take a molecule of water to pass through from one end of the sand to the other?

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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A laboratory experiment similar to the one conducted by Darcy is shown in Figure P-3.

(a) What is the pressure head at point A in sand of the laboratory experiment shown below?

(b) Assuming a porosity of 0.5 and 1k = 1 * 10 ^ - 1 cm/s, how long will it take a molecule of water to pass through from one end of the sand to the other?

**4-9. A laboratory experiment similar to the one conducted by Darcy is shown in Figure P-3.** (a) What is the pressure head at point A in sand of the laboratory experiment shown below? (b) Assuming a porosity of 0.5 and \( k = 1 \times 10^{-2} \) cm/s, how long will it take a molecule of water to pass through from one end of the sand to the other? **Explanation of the Diagram:** The diagram illustrates a laboratory setup for measuring fluid flow through sand, with a cross-sectional area labeled \( A = 0.2 \, \text{m}^2 \). A tube on the left side measures the pressure head \( h_1 = 0.8 \, \text{m} \) above a point labeled \( a \). On the right, another tube measures the pressure head \( h_2 = 0.6 \, \text{m} \) with a height \( h = 0.2 \, \text{m} \) above point \( b \). The sand section between \( a \) and \( b \) is \( L = 0.8 \, \text{m} \) long. The flow of water is from left to right through the sand. Key points: - **\( h_1 = 0.8 \, \text{m} \):** Initial pressure head. - **\( h_2 = 0.6 \, \text{m} \):** Final pressure head. - **\( L = 0.8 \, \text{m} \):** Length of the sand section. - **\( A = 0.2 \, \text{m}^2 \):** Cross-sectional area of the sand. - **Porosity:** 0.5. - **Hydraulic conductivity \( k \):** \( 1 \times 10^{-2} \, \text{cm/s} \).
Transcribed Image Text:**4-9. A laboratory experiment similar to the one conducted by Darcy is shown in Figure P-3.** (a) What is the pressure head at point A in sand of the laboratory experiment shown below? (b) Assuming a porosity of 0.5 and \( k = 1 \times 10^{-2} \) cm/s, how long will it take a molecule of water to pass through from one end of the sand to the other? **Explanation of the Diagram:** The diagram illustrates a laboratory setup for measuring fluid flow through sand, with a cross-sectional area labeled \( A = 0.2 \, \text{m}^2 \). A tube on the left side measures the pressure head \( h_1 = 0.8 \, \text{m} \) above a point labeled \( a \). On the right, another tube measures the pressure head \( h_2 = 0.6 \, \text{m} \) with a height \( h = 0.2 \, \text{m} \) above point \( b \). The sand section between \( a \) and \( b \) is \( L = 0.8 \, \text{m} \) long. The flow of water is from left to right through the sand. Key points: - **\( h_1 = 0.8 \, \text{m} \):** Initial pressure head. - **\( h_2 = 0.6 \, \text{m} \):** Final pressure head. - **\( L = 0.8 \, \text{m} \):** Length of the sand section. - **\( A = 0.2 \, \text{m}^2 \):** Cross-sectional area of the sand. - **Porosity:** 0.5. - **Hydraulic conductivity \( k \):** \( 1 \times 10^{-2} \, \text{cm/s} \).
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