FLOW OF WATER THROUGHSTRATIFIED SOIL1. Horizontal Flow1(K,h, +k2h2 +k3h3. K,hn)KHea2. Vertical FlowHKr ea =h h2 h3 h.k, k2 k3 KnWhere:h's = height of each layered soilk's = coefficient of permeability of eachlayered soilH= total height of stratified soilKy eg = equivalent coefficient of permeabilityPROBLEM 2:Findtheequivalentverticalpermeability of a layered soil with thefollowing data:H1 = 5 mH2 = 2 mH3 = 4 ma. 10.14 x 10-5C. 7.63 x 10-3k= 10-2 cm/seck= 1.9x10-2 cm/seck= 3.8x104 cm/secb. 6.87 x 10-5d. 9.88 x 10-4

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Answered: FLOW OF WATER THROUGH STRATIFIED SOIL…

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter11: Ground Improvement

Section: Chapter Questions

Problem 11.9P

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20 A 4-meter clay layer (e = 0.92, Gs = 2.89, Cc = 0.315) is overlain with 4-meter-thick sand layer (e = 0.86, G = 2.63). The water table is at the interface of the sand and clay layer. If a 3-meter-thick land fill (γ = 17.21 kN/m3) is placed over the existing ground surface, compute the consolidation settlement (in mm.) of the clay layer. Hint: Use the land fill's resulting pressure on the ground surface as the stress increase. Round off to two decimal places.
Problem # 4. A 2m. clay layer has values of e = 0.92, Gs = 2.72 and liquid limit of 40%. Above the clay is a 3m thick layer of sand with e =0.50 and Gs = 2.62. The water table is located 1.6 m below the ground. If a 3m thick backfill is placed on the ground surface having a unit weight of 17.3 kN/m^3, determine the following: a. Compression index of clay.b. Effective pressure at the midpoint of clay.c. Primary settlement for normally consolidated clay.
A 3.75 m thick clay layer (drained on one side) is normally consolidated. When the pressure increase from 50 KN/m2 to 150 KN/m2 , the void ratio decreases from 0.9 to 0.75.For the clay Cv=0.24 cm2/sec.a. Interpret the time in days for the clay layer to reach 50% consolidation. b. Interpret the settlement at that time i.e, at 50% consolidation.
A 4-meter clay layer (e = 0.89, Gs = 2.69, Cc = 0.349) is overlain with 4-meter-thick sand layer (e = 0.83, Gs = 2.51). The water table is at the interface of the sand and clay layer. If a 2-meter-thick land fill (Y = 17.36 kN/m^3) is placed over the existing ground surface, compute the consolidation settlement (in mm) of the clay layer. Hint: use the land fill's resulting pressure on the ground surface as the stress increase.
A soil profile consists of; layer 1, 10m sand layer and layer 2, 3m clay layer. The ground water table is located 4m below ground surface. For sand, γdry=2.00 T/m2 (tons/m2), γsat=2.25 T/m2, and for clay layer, LL=46%, water content=42% and Gs=2.76. A uniform vertical stress, ΔP=20T/m2 is applied at the ground surface. Determine, a) Effective unit weight of clay, b) overburden pressure at the mid point of the clay layer, c) primary consolidation settlement
A 2-meter clay layer (e = 0.88, Gs = 2.67, Cc = 0.305) is overlain with 4-meter-thick sand layer (e = 0.82, G = 2.72). The water table is at the interface of the sand and clay layer. If a 2-meter-thick land fill (γ = 17.97 kN/m3) is placed over the existing ground surface, compute the consolidation settlement (in mm.) of the clay layer. Hint: Use the land fill's resulting pressure on the ground surface as the stress increase. Round off to two decimal places. Selected Answer: 60.25
A soil profi le consists of a clay layer underlain by a sandlayer, as shown in Figure P7.17. If a tube is inserted intothe bottom sand layer and the water level rises to 1 mabove the ground surface, determine the vertical effective stresses and porewater pressures at A, B, and C. IfKo is 0.5, determine the lateral effective and lateral totalstresses at A, B, and C. What is the value of the porewater pressure at A to cause the vertical effective stressthere to be zero?
For a given consolidated clay: Gs= 2.71; LL= 45; In situ average effective overburden pressure = 120 kPa; In situ void ratio= 0.80 ; Thickness of clay layer = 4m ; average increase of effective stress on clay layer= 40 kPa; Effective pressure at the mid-height of clay layer= 60 kPa; Swell Index (Cs)= 1/5 Cc. Compute the compression index. a.0.534 b.0.513 c.0.315 d.0.145 With Free Body Diagram
Soil Mechanics An embankment consists of clay fill for which c′ = 25 kN/m2 and φ = 27° (from consolidated undrained tests with pore-pressure measurement). The average bulk unit-weight of the fill is 2 Mg/m3. Estimate the shear-strength in kPa of the material on a horizontal plane at a point 20 m below the surface of the embankment, if the pore pressure at this point is 180 kN/m2 as shown by a piezometer. a. 133 b. 100 c. 166 d. 200
Question 6 A 3-meter clay layer (e = 0.86, Gs = 2.69, Cc = 0.304) is overlain with 2-meter-thick sand layer (e = 0.77, G = 2.83). The water table is at the interface of the sand and clay layer. If a 2-meter-thick land fill (γ = 17.53 kN/m3) is placed over the existing ground surface, compute the consolidation settlement (in mm.) of the clay layer. Hint: Use the land fill's resulting pressure on the ground surface as the stress increase. Round off to two decimal places.
For a given consolidated clay: Gs= 2.71; LL= 45; In situ average effective overburden pressure = 120 kPa; In situ void ratio= 0.80 ; Thickness of clay layer = 4m ; average increase of effective stress on clay layer= 40 kPa; Effective pressure at the mid-height of clay layer= 60 kPa; Swell Index (Cs)= 1/5 Cc. Compute the pre-consolidation pressure in kPa. a. 92.9 b. 49 c. 87.64 d. 100.5
a dense silt layer has the following properties: void ratio = 0.50, effective diameter d10 = 10 um, capillary constant c = 0.20 cm2. free ground water level is 8.0 m below the ground surface. find the vertical effective stress in kpa at 5m depth. assume unit weight of solids = 26.5 kn/m3 and that the soil = 26.5 kn/m3 and that the soil above the capillary action rise and ground surfaces is partially saturated at 50% from the problem above, find the vertical effective stress at 10m depth. assume unit weight of solids=26.5kN/m3 and that the solid above the capillary action rise and ground surface is partially saturated at 50%.

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