2024_ENVS3060_Assignment #3

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Apr 3, 2024

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ENVS 3060 Groundwater Assignment #3, Due Mar 13, 2024 Marks are given in brackets beside each question number. Total 75 marks. 1. (5) Classify the soil textural class Soil Sand Silt Clay Textural class 1 45 23 32 2 57 26 17 3 75 7 18 4 92 2 6 5 57 22 21 6 77 11 12 7 85 5 10 8 23 48 29 9 25 51 24 10 55 29 16 2. (10) Calculate the terminal velocity corresponding to the upper size limit of the particles with diameter of 1 um, 20 um, 100 um and 1000 um fractions at 20°C and the particle density of 2600 kg m -3 . 3. (10) Determine the sedimentation time for a soil particle having a diameter of 1 um, 20 um, 100 um and 1000 um and a particle density of 2.6 g/cm 3 . Assume that the sampling was made at the 0.20 m depth and at a temperature of 30 °C. 4. (10) Classify the particles with diameter 1 um, 20 um, 100 um and 1000 um. Calculate the surface area for 100 g of each of these particles. 5. (10 A confined aquifer is 18.5 m thick. The hydraulic head drops 2.99 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 water are moving through the aquifer per unit width? 6. (15) An unconfined aquifer has a hydraulic conductivity of 2.3 x 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 above the bottom, and in the other it is 7.12 m above the bottom. a. What is the discharge per 100-m-wide strip of the aquifer in cubic meters per day? b. What is the water-table elevation at a point midway between the two observation wells? 7. (10) Draw a flow net for seepage through the earthen dam shown in the figure below. (Hint: assume flow tubes/stream, p = 4 and you are creating f = 20 head divisions). If the hydraulic conductivity of the material used in the dam is 0.22 m/day, what is the seepage per unit width per day?
8. (5) Draw in two flow lines and two equipotential lines in the lower layer and two flow lines in the upper layer of the geologic system shown below. Assume that both layers are isotropic in K and flow is from layer 1 (top) into layer 2 (bottom) and the angle of incidence of equipotential line to the boundary layer boundary is 27 o .
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