2):(A): Derive the basic differential equation of Terzaghi's one dimensional consolidation theory for saturated soils. (B): For the concrete dam shown in figure below. The water heads are 16 m on the upstream side and 2 m on the downstream side. 1- Calculate the seepage loss through the subsoil per unit length if the average value of the hydraulic conductivity is (6x103 cm/sec) horizontally and (3x10 cm/sec) vertically. 2- Calculate the exit gradient if the average length of the last square is 0.9 m. 7000 Impervious Dam Permeable Xxxxxx

2):(A): Derive the basic differential equation of Terzaghi's one dimensional consolidation theory for saturated soils. (B): For the concrete dam shown in figure below. The water heads are 16 m on the upstream side and 2 m on the downstream side. 1- Calculate the seepage loss through the subsoil per unit length if the average value of the hydraulic conductivity is (6x103 cm/sec) horizontally and (3x10 cm/sec) vertically. 2- Calculate the exit gradient if the average length of the last square is 0.9 m. 7000 Impervious Dam Permeable Xxxxxx

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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2. An aquifer has a hydraulic conductivity of 180 ft/day, and effective porosity of 33% and is under a hydraulic gradient of 0.0004. a) Compute the Darcy velocity (also called Darcy flux). b) Compute the actual velocity (also known as the average linear velocity). c) The water temperature was 14 Degree C, and the mean pore diameter was 0.30 mm. d) Was it permissible to use Darcy's law under these circumstances? e) What is the reason for your answer?
Three piezometers have been installed in the confined aquifer shown in Figure 2 below. The aquifer has a uniform thickness of 3.5 m and a hydraulic conductivity of 2x10-1 cm/s. Determine the hydraulic gradient, the direction of flow, the transmissivity, and the flow rate per unit width of the aquifer.
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Determine the following: a) depth of water in the test well is ______ m b) Transmissbility of the impermeable layer is _____ sq.m/s c) Permeability of the aquifer is ____ m/s
From the figure shown, an unconfined non homogenous aquifer between two water bodies at a depth of t1 = 96 m and t2 = 75 m respectively. Take K1 = 36 m/s, K2 = 48 m/s, H1 = 1470 m and H2 = 1230 m. K, K2 t2 H1 H2 a. Compute the average coefficient of permeability of the aquifer in m/s. (2 DECIMAL PLACES) b. Compute the rate of flow in m^3/s. (2 DECIMAL PLACES) c. Compute the time in seconds required for the water to pass through the soil if it has a void ratio of 0.36. (2 DECIMAL PLACES)
(a) A stratified aquifer has a total thickness of 30 m and is made up of three layers. The top layer has a coefficient of permeability of 20 m/day and a thickness of 12.0 m. The middle and bottom layers have permeability of 15 m/day and 20 m/day respectively and are of equal thickness. Calculate the following:
b. An aquifer with a potentiometric surface is 50 m thick and 500 m wide. Two observation wells are located 1400 m apart in the direction of flow. Head in the first well is 50m and in the second well is 42m. Hydraulic conductivity is 0.7 m/d. Effective porosity of the medium is 20%. Determine the total flow of the water through the aquifer. Also determine the actual groundwater velocity between the two wells.
A bed of uniform sand having particle size 0.6 mm and specific gravity as 2.68 has porosity 0.42. Depth of the bed is 70 cm which is to be washed hydraulically. What is the backwashing rate if expansion of the bed is 40%. (Assume Stoke's law is valid and v = 1.3 x 10-2 cm?/sec)
Consider the hydraulic structure shown in the figure below. In the flow net for flow through the permeable layer, the number of flow channels is Nf = 5 and the number of potential drops is Ng = 12 Calculate the seepage loss. 25 m 10 m 1.67 m 3.34 m 20 m k = 0.002 cm/sec 1.67 m 1.67 m Permeable layer | Impermeable layer Select the correct response: 7.21 m3/day/m O 2.17 m/day/m 6.28 m3/day/m O 6.82 m/day/m 11
A permeability pumping test was carried out in a confined aquifer with the piezometric level before pumping of 2.18m below the ground surface. The aquiclude has a thickness of 5.7m measured from the ground surface and confined aquifer is 7.6m deep until it reaches the aquiclude at the bottom. At a steady state pumping rate of 15.6 ?7??6?3/?2h?7??1? the drawdown in the observation wells were respectively equal to 1.62m and 0.47m. The distances of the observation wells from the center of the test well were 15m and 32m respectively. The radius of the test well is 1m. Determine the coefficient of permeability (m/hr) Select the correct response: 2.15x10-5 0.215 0.597 5.97x10-5
B) For the soil condition shown in Figure (1). Determine: 1- The rate of flow per unit area. 2- The effective stress at point A. Fig.(1) 1.0 m 3.0 m 4.0 m 1.0 m 1.0 m A Laver-1 Ys = 18 kN/m² k=0,25 cnv min Layer-2 Ys = 19 kN/m² k = 0.2 cm/ min i= 0.3- Layer-3 Ys = 20 kN/m³ k=0.3 cm/ min Datum Flow of water