Compute both the equivalent horizontal and vertical hydraulic
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- 1. A confined aquifer is recharged by a continuous supply of water from the certain source. The average thickness of the aquifer was determined to be 18 m and the average width is 8 km. The hydraulic conductivity of the aquifer was obtained at 60 m/day and its void ratio is 0.1586. The piezometer heads in two wells 2,145m apart are 128 meters and 188 meters from a common reference datum. Determine: •compute the rate of flow through the aquifer in m3/day •compute the seepage velocity in m/day •compute the time of travel from the head of the aquifer to a point 8 km downstream in days2. A confined aquifer is recharged by a continuous supply of water from the certain source. The average thickness of the aquifer was determined to be 25 m and the average width is 4 km. The hydraulic conductivity of the aquifer was obtained at 40 m/day and its void ratio is 0.3333. The piezometer heads in two wells 1.325 km apart are 65 meters and 60 meters from a common reference datum. Determine the rate of flow in cubic meters per day. Determine: •compute the rate of flow through the aquifer in m3/day •compute the seepage velocity in m/day •compute the time of travel from the head of the aquifer to a point 8 km downstream in days2. An aquifer has a hydraulic conductivity of 180 ft/day, and effective porosity of 33% and is under a hydraulic gradient of 0.0004. a) Compute the Darcy velocity (also called Darcy flux). b) Compute the actual velocity (also known as the average linear velocity). c) The water temperature was 14 Degree C, and the mean pore diameter was 0.30 mm. d) Was it permissible to use Darcy's law under these circumstances? e) What is the reason for your answer?
- Soil layers are shown as the right figure. Given: H₁ = 2 m, k₁ = 10-4 cm/sec H₂ = 3 m, K₂ = 3.2 x 10-² cm/sec H₂ = 4 m, K₂ = 4.1 x 10-5 cm/sec Estimate the ratio of horizontal equivalent hydraulic conductivity and vertical equivalent hydraulic conductivity, i.e., k./k₂ T * H₂ H₂ a. 152 Ob. 270 O c. 140 O d. 225 k₁ k₂ k3A confined aquifer of 15 m constant thickness is sandwiched between two aquicludes as shown in the figure. Piezometer P Piezometer Q Piezometric Surface Aquiclude 34.1 m Aquiclude. L= 2500 m Reference Datum The heads indicated by two piezometers P and Q are 55.2 m and 34.1 m, respectively. The aquifer has a hydraulic conductivity of 80 m/day and its effective porosity is 0.25. If the distance between the piezometers is 2500 m, the time taken by the water to travel through the aquifer from piezometer location P to Q (in days, round off to 1 decimal place) IS_ 55.2 m AquiferRefer 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/min
- From the figure shown, an unconfined non homogenous aquifer between two water bodies at a depth of t1 = 96 m and t2 = 75 m respectively. Take K1 = 36 m/s, K2 = 48 m/s, H1 = 1470 m and H2 = 1230 m. K, K2 t2 H1 H2 a. Compute the average coefficient of permeability of the aquifer in m/s. (2 DECIMAL PLACES) b. Compute the rate of flow in m^3/s. (2 DECIMAL PLACES) c. Compute the time in seconds required for the water to pass through the soil if it has a void ratio of 0.36. (2 DECIMAL PLACES)5. Aquifer shown in figure represents: (a) confined aquifer (b) unconfined aquifer (c) Can be confined and unconfined aquifer 6. Aquifer is defined as: Static water level Equilibrium water level a) It is an underground saturated material which stores ground water. b) It is an underground unsaturated material which stores ground water. 7. The ratio between volume of water yielded by gravity to the volume of unconfined aquifer, is known as: a) Specific mass b) Specific density c) Specific yield 8. Hydraulic radius (R) is: a) Ratio between flow area (A) and wetted perimeter (P) b) Ratio between wetted perimeter (P) and flow area (A)A confined aquifer is shown in the figure. The aquifer has a hydraulic conductivity of 23 m/day and a void ratio of 0.78. The piezometric heads in the two observation wells L = 2140 m apart are 65 m and 60 m from a common datum. The aquifer has an average depth ot t = 36 m and average width of w = 4.72 km. Recharge 65 Aquifer t L 1. Determine the rate of flow of water through the aquifer, in m3/day. (IN 2 DECIMAL PLACES) 2. Determine the seepage velocity in cm/s. (IN EXPONENTIAL FORM AND IN 2 DECIMAL PLACES) 3. Determine the time of travel in days from the head of the aquifer to a point 3 km downstream. (IN 2 DECIMAL PLACES)
- Referring to Figure Q3, calculate the following quantities: a. Elevation head, total head, and pressure head at point M on Figure Q3. b. The quantity of water seeping through the dam of Figure Q3 per day. The hydraulic conductivity of the soil is 10-8 Boundary equipotentials Na = 9 N = 3 Boundary flowlines %3D 10 m %3D 12 m 6 m M A (11 m7 m 1 m 2 m Fig. Q3: Earth DamQ1) calculate stress tensor of a reservoir if you were given the following information: S1= 70 MPa, S2= 80 MPa, S3= 35 MPa and the SHmax is oriented to the North?Three piezometers have been installed in the confined aquifer shown in Figure 2 below. The aquifer has a uniform thickness of 3.5 m and a hydraulic conductivity of 2x10-1 cm/s. Determine the hydraulic gradient, the direction of flow, the transmissivity, and the flow rate per unit width of the aquifer.