Assignment no. 3 Problem # 1. A 300 mm diameter test well penetrates 24 m. below the static water table. After 24 hours of pumping at 69 liters/sec. The water level in an observation well at a distance of 96m from the test well is lowered 0.60m. And the other observation well at a distance of 34m from the test well, the drawdown is 1.2m. a. Compute the coefficient of permeability of the unconfined aquifer in m/day. b. Compute the transmissibility of the unconfined aquifer in m2/day. C. Compute the transmissibility of a confined aquifer 8m. thick below the unconfined aquifer in m2/day.

Assignment no. 3 Problem # 1. A 300 mm diameter test well penetrates 24 m. below the static water table. After 24 hours of pumping at 69 liters/sec. The water level in an observation well at a distance of 96m from the test well is lowered 0.60m. And the other observation well at a distance of 34m from the test well, the drawdown is 1.2m. a. Compute the coefficient of permeability of the unconfined aquifer in m/day. b. Compute the transmissibility of the unconfined aquifer in m2/day. C. Compute the transmissibility of a confined aquifer 8m. thick below the unconfined aquifer in m2/day.

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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Concept explainers

Field applications of hydraulic conductivity

Hydraulic conductivity is one of the hydraulic properties of soil defined as a measurement of the ability of a porous medium to permit water movement or fluid flow through it. It is denoted by the letter K. It is influenced by the density and viscosity of the fluid. It is also called permeability. Hydraulic conductivity is defined as the ratio of velocity to the hydraulic gradient. The different methods used to determine the hydraulic conductivity are laboratory methods (constant head permeability tests and falling head tests), in-situ field methods (pumping in and pumping out tests), small scale field tests (infiltration tests and slug tests), and indirect methods such as estimation from grain size, consolidation test data, and horizontal capillary test. The pedotransfer function (PTF) method is a specific empirical estimating approach employed in the soil sciences is also used to determine the hydraulic conductivity of the soil.

Question

Assignment no. 3
Problem # 1. A 300 mm diameter test well penetrates 24 m. below the static water table. After 24 hours of
pumping at 69 liters/sec. The water level in an observation well at a distance of 96m from the test well is
lowered 0.60m. And the other observation well at a distance of 34m from the test well, the drawdown is
1.2m.
a. Compute the coefficient of permeability of the unconfined aquifer in m/day.
b. Compute the transmissibility of the unconfined aquifer in m2/day.
Compute the transmissibility of a confined aquifer 8m. thick below the unconfined aquifer
in m2/day.
I.

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STEP 1: BASIC DATA PROVIDED:

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STEP 2: DETERMINATION OF CO-EFFICIENT OF PERMEABILITY:

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STEP 3: DETERMINATION OF TRANSMISSIBILITY OF UN-CONFINED AQUIFER:

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STEP 4: DETERMINATION OF TRANSMISSIBILITY OF CONFINED AQUIFER :

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(b) TABLE Q1(b) shows three layers of soil used in permeability pilot test. (i) Calculate the average vertical conductivity of the soil in cm/day. (ii) Calculate the transmissivity of the soil when water is at the ground surface. (iii) Discuss the factors that might affect the results obtained in Q1(b)(i) and Q1(b)(ii).
A pumping test was carried out in confined aquifer thickness 2 m and the following measurement was recorded. Rate of pumping was 10 m^3/s; drawdown in pumping well was 2.0 m while on the observation well located at 15 m and 20 m from the centre of the pumping well were 1.6 m and 1.4 m, respectively. Determine the hydraulic conductivity of soil.
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7.7 In a constant-head permeability test, the length of the specimen is 200 mm and the cross sectional area is 78.5 cm². If k = 2.1 x 10-2 cm/sec, and a rate of flow of 130 cm³/min has to be maintained during the test, what should be the head difference across the specimen?
A field pumping test was conducted from an aquifer of sandy soil of 4 m thickness confined between two impervious strata. When equilibrium was established, 105 liters of water was pumped out per hour. The water elevation in an observation well 3.50 m away from the test well was 2.1 m and another 6.0 m away was 2.7 m from the roof level of the impervious stratum of the aquifer. Find the value of k of the soil in m/sec.
1. For a constant head laboratory permeability test on a fine sand, the following values are given: L = 300 mm; D₁ = 200 mm; h = 400 mm; Vol = 420 m³; t = 4 min; e = 0.55. a. Compute the coefficient of permeability in cm/sec. b. Compute the discharge velocity in cm/sec. c. Compute the velocity. seepage 2. For a falling head permeability test, the following are given. Length of specimen is 380 mm, are of specimen - 6.5 cm², hydraulic conductivity of soil specimen is 0.175 cm/min. a. What should be the area of the stand pipe for the head to drop from 650 cm to 300 cm in 8 min?
Charyeong wants to determine the permeability of an aquifer. The aquifer has a 300 mm diameter test well that penetrates 27 m. below the static water table. After 24 hours of pumping at 61 liters/sec, the water level in an observation well 93.53 m. from the test well was lowered to 24.83 m. and the other observation well at 33.3 m. from the test well, was lowered to 23.02 m. Determine the coefficient of permeability of the aquifer in m/day.
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