Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 6, Problem 6.14P
To determine
Find the equivalent hydraulic conductivity for flow in the horizontal direction
Find the ratio of
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-0.13
Darcy Experiment
A set-up of Darcy Experiment involves measuring the pressure head at two
piezometers separated a distance, L. Given the set-up shown, determine the
hydraulic gradient if the hydraulic head at (1) is 24 inches, hydraulic head at (2)
is 11 inches, and the travel distance is 100 inches.
0.13
-7.7
(1)
O 7.7
(2)
Show that the hydraulic pressure remains invariant in a horizontal plane parallel to free surface.
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Example 9.5
• Determine the hydraulic radius of the section shown in Fig. 9.9 if the
inside dimension of each side of the square is 250 mm and the
outside diameter of the tube is 150 mm.
D
150-mm
diameter
250 mm
Chapter 6 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- k, H H2 k, H k, H.arrow_forwardEstimate the equivalent hydraulic conductivity for flow in the horizontal direction. Also calculate the ratio of kv(eq)/kH(eq). Suppose that k1 = 15 x10^-4 cm/s, k2= 5.0x10^-4 cm/s, k3= 3.0 x10^-4 cm/s, k4= 2.0 x10^-4 cm/s, H1= 1.0 m, H2 = 2.0 m, H3 =1.5 m, H4 =1.0m. kH(eq) = kV(eq)/kH(eq)=arrow_forwardFor the one-dimensional flow system shown below (units in centimeters):a. What is the value of H needed to have a zero vertical effective stress at point C.?b. What is the value of H needed to have a zero vertical effective stress at point D.?Assume ρsat = 2 Mg /m3 and ρw = 1 Mg /m3. D = 20, L = 16.arrow_forward
- Review the three cases of flow through porous media shown below. For each case, consider and show/label the total head (z + 2) and hydraulic gradient and explain why or why don't the flow directions (Q) make sense? h₁ h₂ Ah AL Ah AL AL Ah Figure 4 - Different apparatus orientations with the same hydraulic gradient: the gradient magnitude (Ah/AL) is the same in each case and the gradient direction is parallel to the tube in each case. Darcy's law is independent of the apparatus orientation, so the flow rate, Q, is the same in each case, and the flow direction is the same, in this case, parallel to the apparatus (Cohen and Cherry, 2020).arrow_forward3. A permeameter is filled with sand. When water is allowed to flow through the device, a flow rate of Q.er = 10 cm'/s is observed. The sand is dried and filled with oil. The total hydraulic head at the inflow and outflow ends of the permeameter are the same in both tests. Calculate the flow rate of oil Qol. Data: puil=0.9 pwaer Hlail = 1.8 luearrow_forwardThe following figure shows the water levels in piezometers and pitot tubes installed at points A and B in the pipe. The water is flowing at a steady-state condition. 0.75 m 0.75 m 2.9 m 1.5 m L=150 m 3.9 m 1.9 m Determine the following; • Elevation, pressure and velocity head at points A and B • Head loss between point A and B Hydraulic gradient between point A and B • Direction of flowarrow_forward
- PROBLEM 2 A well is constructed to pump water from a confined aquifer. Two observation wells are constructed at distances of 100 m and 1000 m respectively. Water is pump from the pumping well at a rate of 0.2m3/min. At steady state, the draw down is observed as 2 m and 8 m respectively in the farthest and the nearest observation wells. Diameter of the test well is 1m. a. Determine the hydraulic conductivity in cm/s if the thickness of the aquifer is 20 m. b. Determine the drawdown in the test well.arrow_forward4. Piezometric tubes are tapped into a pipe section as shown in the figure below. The liquid is incompressible and flowing at a volumetric flowrate of 0.35 m³ s-¹. The piezometric head is 1 m at the upstream location (1) and 0.5 m at the throat (2). The pipe diameter at the upstream location (1) is 0.5 m. Answer the following: 1 m Flow Streamline- 0.5 m Datum Hint: the piezometric head is the sum of the elevation and pressure heads. (a) Find the velocity in the upstream section. (b) Find the velocity in the throat section. (c) Find the diameter in the throat section. (d) Based on your findings in (a) and (b), qualitatively describe how pressure and velocity are related along the streamline.arrow_forwardBased on the shown image, compute the hydraulic radius. 28 in 2 in typical 8 in 14 in waterarrow_forward
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