Assignment Task :
- A swimming pool measures 10m wide, 25m long and 3m deep. What is the pool’s volume in gallons?
- A sample of sandstone has a mass of 22g after drying and 26.3g when water saturated. While submerged in water, the level on a volumetric cylinder measures 76ml; when the saturated rock is removed the level falls to 61ml. What is the porosity of the rock? Express as a percentage.
- The same sandstone sample after being allowed to drain is found to have a mass of 23.6g. Calculate the rock’s specific retention and specific yield.
- A pipe with inside diameter of 10cm delivers water to a storage tank at the rate of 463 liters/minute. How fast (m/sec) is the water flowing in the pipe?
- A watershed with area 880 km2 receives 800mm of precipitation annually. Assuming that 85% of this water is lost to evapotranspiration, what volume of water is available to enter the surface and groundwater systems each year? Give your answer in both m3 and acre-feet.
- A Darcy tube (see Figure 4 in the main reading) packed with sand has a diameter of 60mm and a length of 1.0m. The head at the inflow was measured as 1.8m and at the outflow was 0.9m. We run the experiment for 1 minute and collect 44ml of water at that time. What is the hydraulic conductivity of the sand? Express both as m/day and m/yr.
- The identical Darcy tube (see problem #1) is used to test the hydraulic conductivities of silty sand from a variety of sources, but all falling in the range given in Table 1 in the reading. What range of flow rates are we likely to measure with the apparatus for this range of sediments? Express your answers in units of ml/minute.
- Construct water table contours at 10-m intervals, then draw at least four flowlines showing the direction of groundwater flow.
- Using the sparse data from your completed map (previous question) what can you say about base flow in the streams: are they gaining from or losing water to the aquifer? Which well (identify by its SWL) appears to be creating a cone of depression?
- What is the storativity of the aquifer? Use the Microsoft Excel spreadsheet “Confined_Predict.xlsx” to solve the following pumping-test problems. Enter values only in the yellow input area—don’t change the formulas.
- A 24-hour pumping test on a confined aquifer discharges water at 50m3/hr. Hydraulic conductivity of the aquifer was previously calculated as 100m/day; storativity is 1.2×10-4; aquifer thickness is 28.0m. What is the predicted drawdown (h0-h, in meters) at the end of the test in piezometers placed 10m and 25m from the pumping well?
- Imagine that at the end of the previous pumping test the drawdown at 10m was 0.46m, indicating that our estimate for storativity was wrong. Provide a new value for storativity that agrees with the drawdown data.
- Another pumping test is conducted on a confined aquifer with knowns K=52m/day, S=4.0×10-6, and thickness b=21m. We pump at the rate of 8000 m3/day. The static water level was 1200m and the ground level is 1240m. Draw a scaled cross-section through the cone of depression at 24 hours, from the well out to the client’s property boundary 100m away. Also, show the static water level on this cross-section.
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