scholarly journals Acoustic Leak Detection for Pipeline Systems Based on Spatial Filtering Technique

Author(s):  
Arata Masuda

In this preliminary paper, we present a spatial filtering technique based on the wave equation for an one-dimensional waveguide and apply it to extract an acoustic leak signal, which is a symptom of a leak from a pipeline system, embedded in severe background noises. Two sets of sensor array, each of which consists of a pair of PVDF film elements, are installed at the both ends of the monitoring interval, so that the measured wave motions are decomposed into positive and negative traveling wave components. After an appropriate processing of these traveling waves, the background noises, which come from outside of the monitoring interval, are canceled and only the leak signal remains. Some preliminary experiments show that the proposed method can provide 10–100 times progress in the S/N ratio even if both the leak signal and the background noise are in the same frequency band.


2012 ◽  
Vol 508 ◽  
pp. 263-266 ◽  
Author(s):  
Zeng Xi Lu ◽  
Gang Yang ◽  
Zeng Shuang Wang

In comparison with cross correlative method based particle velocity measurement, the spatial filtering method for particle velocity measurement has the advantages of simplicity of the measurement system and convenience of data processing. In the paper a capacitive velocimeter, based on the spatial filtering method, is described. In this approach a capacitance sensor array has been used as a spatial filter for particle velocity measurements. Experiments were performed on a test rig and the experimental results show that the system relative error is within ±4% over a velocity range of 2-5m/s for a moving particle.



Author(s):  
Katrin Grunert ◽  
Audun Reigstad

AbstractWe study traveling wave solutions of the nonlinear variational wave equation. In particular, we show how to obtain global, bounded, weak traveling wave solutions from local, classical ones. The resulting waves consist of monotone and constant segments, glued together at points where at least one one-sided derivative is unbounded. Applying the method of proof to the Camassa–Holm equation, we recover some well-known results on its traveling wave solutions.



2019 ◽  
Vol 84 (4) ◽  
pp. 797-812 ◽  
Author(s):  
E El Behi-Gornostaeva ◽  
K Mitra ◽  
B Schweizer

Abstract We investigate the one-dimensional non-equilibrium Richards equation with play-type hysteresis. It is known that regularized versions of this equation permit traveling wave solutions that show oscillations and, in particular, the physically relevant effect of a saturation overshoot. We investigate here the non-regularized hysteresis operator and combine it with a positive $\tau $-term. Our result is that the model has monotone traveling wave solutions. These traveling waves describe the behavior of fronts in a bounded domain. In a two-dimensional interpretation, the result characterizes the speed of fingers in non-homogeneous solutions.



2013 ◽  
Author(s):  
V. M. Vassilev ◽  
P. A. Djondjorov ◽  
M. Ts. Hadzhilazova ◽  
I. M. Mladenov


2021 ◽  
Vol 130 (2) ◽  
pp. 025104
Author(s):  
Misael Ruiz-Veloz ◽  
Geminiano Martínez-Ponce ◽  
Rafael I. Fernández-Ayala ◽  
Rigoberto Castro-Beltrán ◽  
Luis Polo-Parada ◽  
...  


2020 ◽  
Vol 26 ◽  
pp. 7
Author(s):  
Hui Wei ◽  
Shuguan Ji

This paper is devoted to the study of periodic (in time) solutions to an one-dimensional semilinear wave equation with x-dependent coefficients under various homogeneous boundary conditions. Such a model arises from the forced vibrations of a nonhomogeneous string and propagation of seismic waves in nonisotropic media. By combining variational methods with an approximation argument, we prove that there exist infinitely many periodic solutions whenever the period is a rational multiple of the length of the spatial interval. The proof is essentially based on the spectral properties of the wave operator with x-dependent coefficients.





2014 ◽  
Vol 960-961 ◽  
pp. 1100-1103
Author(s):  
Guang Bin Zhang ◽  
Hong Chun Shu ◽  
Ji Lai Yu

Wavefront identification is important for traveling based fault location. In order to improve its reliability, a novel wavefront identification method based on Harris corner detector has been proposed in this paper. The principle of single-ended traveling wave fault location was briefly introduced at first, and the features of wavefronts generated by faults on transmission lines were analyzed. The arrival of traveling waves' wavefronts is considered as corner points in digital image of waveshape. The corner points can be extracted precisely by Harris corner detector, and both false corner points and non-fault caused disturbance can be eliminated according to the calculated distance between two neighbour corner points and the angle of the corner point. The proposed method is proved feasible and effective by digital simulated test.







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