Wave Propagation in a Two-Layered Medium

1964 ◽  
Vol 31 (2) ◽  
pp. 213-222 ◽  
Author(s):  
J. P. Jones

Elastic wave propagation in a medium consisting of two finite layers is considered. Two types of solutions are treated. The first is a Rayleigh train of waves. It is seen that for this case, when the wavelength becomes short, the waves approach two Rayleigh waves plus a possible Stoneley wave. When the wavelength becomes large, there are two waves; i.e., a flexural wave and an axial wave. Calculations are presented for this case. The propagation of SH waves is treated, but no calculations are presented.


1999 ◽  
Vol 18 (1) ◽  
pp. 11-18 ◽  
Author(s):  
Rossana Vai ◽  
José Manuel Castillo-Covarrubias ◽  
FranciscoJ. Sánchez-Sesma ◽  
Dimitri Komatitsch ◽  
Jean-Pierre Vilotte


2018 ◽  
Vol 25 (3) ◽  
pp. 517-528 ◽  
Author(s):  
Ping Wang ◽  
Qiang Yi ◽  
Caiyou Zhao ◽  
Mengting Xing

Wave propagation in the ordered and randomly disordered periodic track structure in high-speed railways are investigated theoretically and experimentally. Taking the CRTS-I double-block ballastless track structure in China as the research object, a theoretical model of periodic track structure is established. The rail is modelled as a Timoshenko beam considering the bending–torsional coupling. The dispersion curves of the periodic track structure are obtained according to the transfer matrix method and Bloch theory. Based on the Lyapunov exponent algorithm, the elastic wave propagation characteristics of the randomly disordered periodic track structure are further calculated and analyzed considering the random disorder of structure parameters. The obtained results show that the periodic track structure is characterized by band gaps, elastic wave propagation attenuates significantly within the band gap, and random disorder in the track structure can expand the attenuation regions. Finally, the band gap characteristics of the vertical/lateral flexural wave and torsional wave are verified respectively through an in situ experiment.



Geophysics ◽  
2003 ◽  
Vol 68 (5) ◽  
pp. 1749-1755 ◽  
Author(s):  
Tsili Wang ◽  
Xiaoming Tang

In this paper, we present a nonsplitting perfectly matched layer (NPML) method for the finite‐difference simulation of elastic wave propagation. Compared to the conventional split‐field approach, the new formulation solves the same set of equations for the boundary and interior regions. The nonsplitting formulation simplifies the perfectly matched layer (PML) algorithm without sacrificing the accuracy of the PML. In addition, the NPML requires nearly the same amount of computer storage as does the split‐field approach. Using the NPML, we calculate dipole and quadrupole waveforms in a logging‐while‐drilling environment. We show that a dipole source produces a strong pipe flexural wave that distorts the formation arrivals of interest. A quadrupole source, however, produces clean formation arrivals. This result indicates that a quadrupole source is more advantageous over a dipole source for shear velocity measurement while drilling.



AIP Advances ◽  
2021 ◽  
Vol 11 (6) ◽  
pp. 065009
Author(s):  
Xi-Ning Zhao ◽  
Xiao-Dong Yang ◽  
Wei Zhang ◽  
Huayan Pu


2019 ◽  
Vol 146 (3) ◽  
pp. 1519-1527 ◽  
Author(s):  
ZhiWei Zhu ◽  
ZiChen Deng ◽  
ShuZhan Tong ◽  
BenJie Ding ◽  
JianKe Du




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