CEE380_HW04_S16 - UNIVERSITY OF ILLINOIS URBANA-CHAMPAIGN...

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UNIVERSITY OF ILLINOIS, URBANA-CHAMPAIGN NAME: _______________ DEPARTMENT OF CIVIL & ENVIRONMENTAL ENGINEERING DATE: ______ Team:____ 1 CEE 380 - Spring 2016 HW #4 Seepage and 1 Dimensional Flow - Due Feb. 22, 2016 NOTE: PLEASE SHOW YOUR CALCULATIONS IN A CLEAR FORM REMEMBER TO INCLUDE UNITS IN YOUR CALCULATIONS 1. A soil sample is 50 cm long and 100 cm 2 in cross-section. The water level at one end of the block is 300 cm above a fixed reference point, and the water level at the other end is 100 cm above the same reference point. The flow rate (Q) is 300 cm 3 in 1 min. a) Calculate the hydraulic conductivity (permeability) of the specimen in m/s . b) Use the Hazen (1892) equation given below to calculate D 10 , the effective grain size of the soil. Give your answer in mm . Note that k is given in cm/s in the equation and D 10 is given in mm. c) What type of soil do you think this is: gravel, sand, silt or clay? d) Calculate the discharge velocity under the test conditions in m/s. Hydraulic conductivity, k (m/s ) D 10 (mm) Type of soil Discharge velocity, v (m/s) Datum 100cm 200cm 50cm Cross-section100cm 2
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UNIVERSITY OF ILLINOIS, URBANA-CHAMPAIGN NAME: _______________ DEPARTMENT OF CIVIL & ENVIRONMENTAL ENGINEERING DATE: ______ Team:____ 2 2. A falling head permeability test is run on an inorganic fine grained soil sample that is 10 cm long. The standpipe has the same cross-sectional area as the soil sample. The water head drops from 40 cm to 37cm in 5hrs. Find the coefficient of permeability (k) of the soil sample in cm/s and list soil types that are likely to have this value of permeability.
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