›› 2010, Vol. 31 ›› Issue (5): 1651-1656.

• Numerical Analysis • Previous Articles     Next Articles

An analytical model of elastic waves in detection of underground pipes

XU Hui-feng 1, 2, QIAN Yan-ling1, QIU Jing1, XIE Di-bo3   

  1. 1. College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha 410073, China; 2. Unit 91287 of PLA, Shanghai 200083, China; 3. Unit 92143 of PLA, Sanya Hainan, 572000, China
  • Received:2009-07-09 Online:2010-05-10 Published:2010-05-24

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Abstract:

Elastic waves are excited by the linear impact force with several periods at the boundary of the underground cylindrical cavity to detect underground cylindrical pipes. It is a transient acoustic field. Based on wave functions expansion method, the waves in the field are expressed in terms of wave potentials and expanded in Fourier-Bessel series, and the coefficients in the wave functions are determined to satisfy the boundary conditions. Thus, the analytical solutions of the potential functions of the field are obtained. Then the numerical results present the waves propagating process and the relationships of energy. Furthermore, the amplitude of the reflected signals is influenced by the material parameters of the pipes; and the results are determined by the matching raw of acoustic impedance. These conclusions and experimental results are in good agreement.

Key words: underground pipes, elastic waves, wave functions expansion method, analytical solution

CLC Number: 

  • O 347.4
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