THESIS
2019
xxviii, 230 pages : illustrations (some color) ; 30 cm
Abstract
Urban water supply systems operate inefficiently and even unsafely due to the presence
of numerous defects, such as leaks and blockages which result in significant
water and energy losses and an increased potential for contamination. In this thesis,
a new acoustic-based method for detecting and characterizing single and multiple
defects in pipes is developed. First, an extended blockage detection method, which
assumes undamped one-dimensional wave propagation is developed by making use
of the time reversal symmetry and linearity properties of the undamped wave equation.
The proposed method uses measurement at one end of the pipe and does not
require knowledge of the boundary condition at the other end, yet it detects multiple
blockages of irregular geometries. Second, a relatio...[
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Urban water supply systems operate inefficiently and even unsafely due to the presence
of numerous defects, such as leaks and blockages which result in significant
water and energy losses and an increased potential for contamination. In this thesis,
a new acoustic-based method for detecting and characterizing single and multiple
defects in pipes is developed. First, an extended blockage detection method, which
assumes undamped one-dimensional wave propagation is developed by making use
of the time reversal symmetry and linearity properties of the undamped wave equation.
The proposed method uses measurement at one end of the pipe and does not
require knowledge of the boundary condition at the other end, yet it detects multiple
blockages of irregular geometries. Second, a relation between the undamped acoustic
waves and the waves which are damped by the pipe wall visco-elasticity and unsteady
friction is derived. The relation is applied to transform the measured damped signal
into an idealized undamped signal to be used in conjunction with the proposed defect
detection method. Laboratory experiments in visco-elastic pipes containing blockages
of different severity are conducted to validate the proposed methods. It is shown
that the location and size estimates of the blockages are accurate, and are further improved
after compensating for the damping using the transformation proposed in this
thesis. Third, an extension of the blockage detection method to detect and characterize
defects of mixed-types is proposed, by analyzing the differences and similarities
between the wave scattering imposed by the defects. The method uses two measurements,
one at each end of the pipe, and can detect and characterize leaks, and discrete
and extended blockages. The proposed algorithm is implemented for real-time defect detection in two laboratory systems in Hong Kong. The results show that, for more
than 75% of the tests, the error of defect localization is lower than half the smallest
wavelength of the probing wave. This is notable given that the diffraction limit is half
a wavelength. Finally, the propagation of waves with wavelengths smaller than the
pipe diameter, which invalidates the one-dimensional assumption, is investigated. It
is shown that at this regime, the wave propagation properties in visco-elastic and in
elastic pipes tend to be the same, simplifying the diminishing role of visco-elasticity
at high frequency.
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