Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 3, Problem 3.20CTP
To determine
Find the in situ water content of the soil at the bottom of the lake.
Find the height of the compacted fill, when the soil is placed over an area.
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The volume of a reservoir is 2×107 m3, the catchment area is 500 km2, the average annual inflow of rivers and streams is 800 mm, and the annual silt entering the reservoir is 320 ton/km2, assuming that the proportion of silt is 1800 kg/m3, Assuming that the sand trapping rate of the reservoir is y, the ratio of the reservoir capacity to the annual inflow is x, and the relationship between the two is to try to estimate the number of years required for 80% of the initial reservoir capacity to fill up?
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It is required to deepen a lake by 1.50 m over an area of 50m * 150m There is water to a depth of 1.0 m in the lake. The unit weight of the soil at the bottom of the lake is 19.5kN / (m ^ 3) and the specific gravity of the soil grains is 2.70. What is the in situ water content of the soil at the bottom of the lake?
It is proposed to lower the water table to the ground level and carry out the required excavation. The soil removed will be air dried and placed as compacted fill in a nearby earthwork, at dry unit weight of 18kN / (m ^ 3) What would be the height of the compacted fill, when the soil is placed over an area of 100m * 100m ?
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Fundamentals of Geotechnical Engineering (MindTap Course List)
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- Water depth in a lake is 3 m. A soil sample was collected from the sediment in the lake and the following properties are obtained.Calculate the following pressures at a depth of 12 m below the bed levelof the lake (assume the entire top clay layer is saturated):(A) The total pressure(B) The pore pressure(C) The intergranular pressurearrow_forwardA sand deposit of 12 m thick overlies a clay layer. The water table is 3 m below the ground surface. In a field permeability pump-out test, the water is pumped out at a rate of 540 liters per minute when steady state conditions are reached. Two observation wells are located at 18 m and 36 m from the Centre of the test well. The depths of the drawdown curve are 1.8 m and 1.5 m respectively for these two wells. Determine the coefficient of permeability. Include FBD.arrow_forwardA sand deposit of 12 m thick overlies a clay layer. The water table is 3 m below the ground surface. In a field permeability pump-out test, the water is pumped out at a rate of 540 liters per minute when steady state conditions are reached. Two observation wells are located at 18 m and 36 m from the Centre of the test well. The depths of the drawdown curve are 1.8 m and 1.5 m respectively for these two wells. Determine the coefficient of permeability. Answer must be: 4.5 × 10–1 mm/sarrow_forward
- A soil with a volume of 0.0283 m3 has a specific gravity of 2.7, a dry weight of 0.376 kN, and a wet weight of 0.459 kN. 1) Determine the volume of voids (Ans. 0.0149 m3) 2) Determine the void ratio (Ans. 1) 3) If the soil was submerged, determine the effective unit weight (Ans. 8.34 kN/m3)arrow_forwardA petroleum reservoir has an areal extent of 20,000 ft2 and a pay zone thickness of 100ft. The reservoir rock has a uniform porosity of 35%. what is the pore volume of this reservoir?arrow_forwardConsider a saturated clay layer of thickness of 6 m on top of a layer of stiff sand. The clay has an initial porosity of 18%Following lowering water level, the clay porosity is reduced to 12%. What is the change in the thickness of the clay layer (corresponding to subsidence) caused by lowering of the water table?arrow_forward
- A sand deposit of 12 m thick overlies a clay layer. The water table is 3 m below the ground surface. In a field permeability pump-out test, the water is pumped out at a rate of 540 litres per minute when steady state conditions are reached. Two observation wells are located at 18 m and 36 m from the centre of the test well. The depths of the drawdown curve are 1.8 m and 1.5 m respectively for these two wells. Determine the coefficient of permeability. a. 625 X 10^-2 b. 2.15 x 10^-2 c. 4.5 x 10^-1 d. 1.6 X 10^-1arrow_forwardWeight at 0kpa: 396 g Weight at -33kpa: 325 g Weight at -1500kpa: 291 g Weight at -3100kpa: 280g Weight at -1,000,000kpa: 273 g If we assume the soil core volume is 247cm^3, what is the bulk density in g/cm^3?arrow_forwardA soil profile consists of a clay layer of 10 m thick between a permeable sand layer above and an impermeable rock layer below, the water table being in the sand layer. Before the construction of a reservoir raft foundation, piezometers were installed in the clay layer.The whole process of filling the reservoir may be approximated to applying rapidly a single pressure increment of 100 kN/m2 uniformly throughout the clay layer. One year after filling the reservoir, the settlement was 20 cm and the piezometers indicated the distribution of excess pore pressure as shown in the figure below. Estimate the final settlement and the time to complete 90 % of primary consolidation.arrow_forward
- A certain 20 m thick sandy confined aquifer has a k of 0.024 cm/s and a void ratio of 0.91. If the hydraulic gradient is 0.0065, how much time would be required for water to travel 1000 m through this aquifer?arrow_forward1. How many millimetres (equivalent depth) of water are contained in a soil profile 1 metre deep if the mass water content of the upper 400 mm depth is 15% and that of the lower 600 mm is 20%. The bulk density in the upper layer is 1300 kg m-3 and in the lower layer is 1500 kg m-3. Assume ρw = 1000 kg m-3.How much water does the soil contain (in cubic metres) per 1.5 hectares of land?arrow_forwardAn impervious layer underlies 4 layers of permeable soil. The thickness and the coefficient of permeability each layer from top to bottom are: Evaluate the equivalent horizontal coefficient of permeability of the deposit in cm/sec. Evaluate the discharge of the aquifer in m3/day if the hydraulic gradient for the soil formation is 0.70.arrow_forward
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