Identical Darcy Tube - Bedrock Beneath - Science and Maths Assignment Help

Assignment Task :

1. A swimming pool measures 10m wide, 25m long and 3m deep. What is the pool's volume in gallons?

2. 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.

3. 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.

4. 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?

5. 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.

1. 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.

2. 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.

3. Construct water table contours at 10-m intervals, then draw at least four flowlines showing the direction of groundwater flow.

4. 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?

   

1. 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.

2. 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?

3. 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.

4. 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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