Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 7, Problem 7.4P
(a)
To determine
The rate of seepage per unit length of the dam.
(b)
To determine
The seepage velocity.
(c)
To determine
The quantity of seepage per day.
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Refer to Problem 8.4. Using the flow net drawn, calculate the hydraulic uplift force at the base of the hydraulic structure per meter length (measured along the axis of the structure).8.24 For the hydraulic structure shown in Figure 8.24, draw a flow net for flow through the permeable layer and calculate the seepage loss in m3/day/m.
For the two-dimensional flow system shown below (units in meters):Compute the total flow rate under the Dam.
X = 4, Y = 8.
Note 1: Point A is located in the middle point of the equipotential lines. Point B is located in the middle point of the flow lines.Note 2: Assume e=0.8 (void ratio) and k=10^-3 cm/s (coeff. of permeability).Note 3: Datum is located at the bottom level of the water (right side of Dam).Note 4: Remember, the figure is drawn to scale. So, use the value of 2X+Y to estimate any dimension that you consider necessary.
Given the coefficient k =0.05 m/s and porosity p = 48%, find thetransmissibility (T) in m/s per unit m, if the aquifer width is 1.2 m.Formula:
- It is the flow rate per day thru a unit areaunder a unit hydraulic gradient For an aquifer with thickness, Band width, X:T = K*B and Ag = BXThus: Q = (T*X*S)
Chapter 7 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 7 - Prob. 7.1PCh. 7 - Prob. 7.2PCh. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - Prob. 7.5PCh. 7 - Prob. 7.6PCh. 7 - Prob. 7.7PCh. 7 - Prob. 7.8PCh. 7 - Prob. 7.9PCh. 7 - Prob. 7.10P
Ch. 7 - Prob. 7.11PCh. 7 - Prob. 7.12PCh. 7 - Prob. 7.13PCh. 7 - Prob. 7.14PCh. 7 - Prob. 7.15PCh. 7 - Prob. 7.16PCh. 7 - Prob. 7.17PCh. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - Prob. 7.20PCh. 7 - Prob. 7.21PCh. 7 - Refer to Figure 7.24. The following data were...Ch. 7 - Prob. 7.23PCh. 7 - Prob. 7.1CTP
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- A confined aquifer has a thickness of 85 ft. An 86-in diameter well drilled to the bottom of the aquifer, as shown in fig 3-10, if the hydraulic conductivity of the aquifer is 10 ft / day, and if water is originally 170 ft deep in the well, calculate approximately the maximum rate of flow that can be pumped from the well without dewatering any part of the aquifer. Assume 1000 ft reasonable value for the radius of influence. What will be the average velocity ( Darcy velocity ) of flow in the aquifer at a distance 20 ft from the center of the well?arrow_forwardFrom the figure shows an unconfined non homogeneous aquifer between two water bodies at depth of 50 m and 45 m. respectively. Compute the average coefficient of permeability of the aquifer and the rate of flow.arrow_forwardA confined aquifer underlies an unconfined aquifer as shown. Compute the equivalent horizontal coeff. of permebility Compute the hydraulic gradient Compute the flow rate from one stream to another per meter widtharrow_forward
- Refer to Figure 7.24. The following data were collected during the field permeability measurement of a confined aquifer using a pumping test. Determine the hydraulic conductivity of the permeable layer. Use Eq. (7.49). Thickness of the aquifer, H = 4.5 m Piezometric level and radial distance of the first observation well: h1 = 2.9 m; r1 = 17.8 m Piezometric level and radial distance of the second observation well: h2 = 1.8 m; r2 = 8.1 m Rate of discharge from pumping, q = 0.5 m3/minarrow_forwardL = 370 mm A = 145 cm^2 h = 340 mm Water collected in 3 min Q = 580 cm^3 Void ratio of sand e= 0.66 Determine the Hydraulic conductivity and seepage velocity.arrow_forwardWater flows through a fully confined sand aquifer with a piezometric head gradient of 0.025.(a) If the hydraulic conductivity and effective porosity of the aquifer are 1.72 m/d and 0.45, respectively, estimate the specific discharge and seepage velocity in the aquifer.(b) estimate the volumetric flow rate of the groundwater if the aquifer is 45 m deep and 1.2 km wide.(c) How long does it take a dissolved contaminant in the groundwater to move 1 km?arrow_forward
- An unconfined aquifer is 10 m thick and is being pumped so that one observation well placed at a distance 76 m shows a drawdown of 0.5 m. On the opposite side of the extraction well is another observation well 100 m from the extraction well, shows a drawdown of 0.3 m. Assume the coefficient of permeability of 50 m/day. a.) What is the discharge f the extraction well? b.) Suppose the well at 100 m from the extraction well is now pumped. Show with a sketch what this will do to the drawdown. c.) Suppose the aquifer sits on an aquaclude that has a slope of 1/100. Show with a sketch what this will do to the drawdown.arrow_forwardAn earth dam is shown in the figure below Determine the seepage rate, q, in m^3/day/m length. Given: α1=35°, α2=40°, L1=5 m, H=7 m, H1=10 m, and k= 3x10^4 cm/sec.arrow_forwardb) A 30-cm well fully penetrates an unconfined aquifer of saturated depth 25 m. When a discharge of 2100 lpm was being pumped for a long time, observation wells at radial distances of 30 m and 90 m indicated drawdown of 5 and 4 m respectively. Estimate the coefficient of permeability and transmissibility of the aquifer. What is the drawdown at the pumping well?arrow_forward
- The contaminant concentration has been detected to be 200 mg/L for the area of a site represented below. The groundwater contours are spaced at intervals of about 50 m. The average thickness of the aquifer is 5 m and the hydraulic conductivity is 1x10-2 cm/s. For each meter of length (unit length) as measured parallel to the river, what is the contaminant loading rate (i.e., C x Q) in kg/year?arrow_forwardGiven: velocity of flow = 0.0375 m/s coefficient =0.05 m/s porosity p =48% slope S = 3/4 The soil porosity in the area where the 46-cm diameter well is 48%, find the discharge of the groundwater. Given the coefficient =0.05 m/s and porosity p =48%, find the transmissibility (T) in m/s per unit m, if the aquifer width is 1.2 m. Given the discharge Q get in Question #1, transmissibility T in Question#2, slope S = 3/4; find the aquifer width X.arrow_forwardFor a typical sand and gravel aquifer, estimate the one-year travel distance for water when the hydraulic gradient is 0.0003 m/m.arrow_forward
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