3. A layered soil deposit is shown in the figure below with anisotropic values of the coefficient of hydraulic conductivity in the horizontal (x) and vertical (y) directions. Calculate the equivalent homogeneous values of the coefficient of hydraulic conductivity in the horizontal and vertical direction. kx,eq_ cm/sec ky,eg: cm/sec TIRSURSUT URSURSIT TIRSURSIT 1.5 m k,= 1.2 x 10³ cm/s, k, = 2.4 x 10 cm/s 2.0 m k, = 2.8 x 10 cm/s, k, = 3.1 x 105 cm/s 2.5 m k₂ = 5.5 × 105 cm/s, k, = 4.7 x 10 cm/s

3. A layered soil deposit is shown in the figure below with anisotropic values of the coefficient of hydraulic conductivity in the horizontal (x) and vertical (y) directions. Calculate the equivalent homogeneous values of the coefficient of hydraulic conductivity in the horizontal and vertical direction. kx,eq_ cm/sec ky,eg: cm/sec TIRSURSUT URSURSIT TIRSURSIT 1.5 m k,= 1.2 x 10³ cm/s, k, = 2.4 x 10 cm/s 2.0 m k, = 2.8 x 10 cm/s, k, = 3.1 x 105 cm/s 2.5 m k₂ = 5.5 × 105 cm/s, k, = 4.7 x 10 cm/s

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter7: Permeability

Section: Chapter Questions

Problem 7.14P

See similar textbooks

Similar questions

Consider two horizonal soil layers, each is isotropic, the upper layer 1 is sitting directly on the top of bottom layer 2. Layer 1 has a thickness of 2 m and a hydraulic conductivity of 0.26 m/day and layer 2 has a thickness of 4 m and a hydraulic conductivity of 0.95 m/day. In this case, calculate the equivalent horizontal hydraulic conductivity in m/day.
For the soil profile show in figure calculate the total vertical stress pure water pressure and effective vertical stress at depth of 0 m 1.2m 2.5m and 5m and 8m.
The data from a falling-head test on a silty clay are: Cross sectional area of soil = 1000 mm^2 Length of soil sample = 200 mm Area of stand pipe = 40 mm^2 Head difference at time t = 0 is 500 mm Head difference at time t = 3 min is 300 mm a) Determine the hydraulic conductivity of the soil in cm/sec. b) What is the head difference at time t = 100 sec in mm
The figure shows a cross section through the strata underlying a site of which the permeability properties are of importance. Assume the coefficient of permeability in the horizontal and vertical directions to be the same in each stratum. (each layer is hydraulically isotropic). Estimate the ratio of equivalent hydraulic conductivity: kh(eq)/kv(eq) A: h=4.1 m, k=11x10^-4 mm/s B: h=1.49 m, k=69x10^-5 mm/s C: h=1.16 m, k=36x10^-7 mm/s D: h=2.91 m, k=51x10^-10 mm/s
From the figure shown, H1 = 0.60, H2 = 0.90 m. and h = 0.45 m. The sad has a saturated unit weight of 18.65 kN/m3 . Hydraulic conductivity of sand K = 0.12 cm/sec. If the cross sectional area of tank = 0.46 m2 , determine the following: 1. Total stress and Effective stress at C. 2. Pore water pressure at C. 3. Rate of upward seepage of water in liters/sec.
2) A soil profile consisting of three layers is shown in the Figure. A) Calculate the values of σ, u and σ' at points A,B,C and D if Layer 1: H1=5m, e=0.7, Gs=2.69 Layer 2: H2=8m, e=0.55, Gs=2.7 Layer 3: H3=3m, w=38%, e=1.2 B) What is the change in effective stress at point C if: If the water table drops by 2m? If the water table rises to the surface up to point A? Water level rises 3 m above point A due to flooding?
A 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.
A soil profile consisting of three layers is shown in Table and Figure below i. Calculate the values of σ, u and σʹ at points A, B, C, and D. ii. Calculate the effective stress at c when water table drops by 1 m (consider γb= 15.5 for layer 2). iii. Calculate the effective stress at c when water table rises by 1 m above layer 1 due to flooding. (consider γsat= 16.5 for layer 1). Layer no. Thickness Soil parameters 1 H1 = 3.5 m γd = 15.5 kN/m3 2 H2 = 2.5 m γsat = 18 kN/m3 3 H3 = 3 m γsat = 18.5 kN/m3
Consider a clay layer drained at the the top and bottom as shown in figure. For the case of constant initial excess pore water pressure (ui=u0) and Tv=0.4 ,determine the degree of consolidation Uz at z/Ht.For the solution, start from eq.(6.32).
The figure below shows the layers of soil in a tube 100 mm x 100 mm in cross section. Water is supplied to maintain a constant head difference of H across the sample. Hydraulic conductivities of each soil are tabulated below. All measurements in the figure are millimeters. If H = 1.98 and the Hydraulic conductivity of soil E is 0.002 m/s. a. Determine the equivalent hydraulic conductivity of the system in the direction of the flow. b. Find the h1 and h2. c. Determine the rate of flow.
11. Consider the downward flow of water through a layer of sand in the tank shown. (see picture below) Void ratio of the soil = 0.52 Specific Gravity = 2.70 Compute the value of h1. (Answer: 0.436) Compute the effective stress at A. (Answer: 17.44 kPa) Compute the effective stress at B. (Answer: 31.98 kPa) Compute the seepage force per unit volume. (Answer: 3.57 kN/m3)
Calculate the equivalent hydraulic conductivity in the horizontal as well as the vertical direction for the given stratified soil. Layer Hydraulic conductivity (cm/sec) 1 0.002 2 0.0002 3 0.001 4 0.0003 The depth of each layer is 1 m.