The Parameter Perturbation Method on Elastic Wave Equation in inhomogeneous Medium

Niu Yuqing; Ma Xingrui; Huang Wenhu

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(7): 579-584

Niu Yuqing, Ma Xingrui, Huang Wenhu. The Parameter Perturbation Method on Elastic Wave Equation in inhomogeneous Medium[J]. Applied Mathematics and Mechanics, 1997, 18(7): 579-584.

Citation:

Niu Yuqing, Ma Xingrui, Huang Wenhu. The Parameter Perturbation Method on Elastic Wave Equation in inhomogeneous Medium[J]. Applied Mathematics and Mechanics, 1997, 18(7): 579-584.

Citation:

Niu Yuqing, Ma Xingrui, Huang Wenhu. The Parameter Perturbation Method on Elastic Wave Equation in inhomogeneous Medium[J]. Applied Mathematics and Mechanics, 1997, 18(7): 579-584.

PDF( 2611 KB)

The Parameter Perturbation Method on Elastic Wave Equation in inhomogeneous Medium

Harbin University of Technology, Harbin 150001, P. R. China

Received Date: 1996-01-22
Publish Date: 1997-07-15

Abstract

Abstract

In this paper, the medium parameters of the elastic wave equation in inhomogeneous medium are rewritten by introducing the referential variables and the perturbational variables, and the wave equation whose sources are the medium parameter perturbational term in homogeneous medtam is obtained By usingthe Green function theory, the integral equation of the perturbational parmeters is obtained. Then the displacement field in homogeneous medium is considered the resultof the first iteration, and the displacement fisld is solved by this integral equation.When the perturbations of medium paranteters are about 50 percent, this method cansolve the displacement ficld effectirely. From the analysis of the numerical results, the characteristics of wave field in inhomogeneous medium are obtained. The results conform with the local principles of wave, function in inhomogeneous medium.
- elastic wave equation,
- perturbational parameters,
- integral equation,
- integral iteration

FullText(HTML)

References(7)

References

[1]	Alvin J Rbbins Exact solutions of the Helmholtz equation for plane wave propagation in a medium with variable density and sound speed,J,Aeoust Soe.Am.,93(3) 0983).
[2]	Zhu Tianfei,A Ray-Kirchhoff method for body-wave calculation;n lnhompgeneous media:theory,Geophysical Journal,92 (1988),181-193.
[3]	J.E,Gubernatis,E,Domany and J.A,Krumnhansl,Formal aspects of the theory of the scattering of ultrasound by flaws in elastic materials,T.Appl.Phy.,48; (1977),2804-2811.
[4]	J.E,Gubarnatis,E.Domany,J.A,Krumnhansl and M.Huberman,The Born approximation in the theory of the scattering of elastic waves by flaws,J.Appl.Phy.,4(1977),2812-2819.
[5]	J.H,Rose and J,A,Krumnhansl,Determination of flaws characteristics from ultrasonic scattering data,J.Appl.Phy.,50,(1979),2951-2952.
[6]	朱瑾、马兴瑞、黄文虎,二维弹性波几何反问题中的逆Born方法,哈尔滨工业大学学报,(1988),8-14.
[7]	Harry Gingold,Jianming She and William E,Iorumski,Local principles wave propagation in inhomogeneous media,J.Acoust,Soc,Am.,93(2) (1993).