波动方程反演问题的一种新的逼近方法

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

A New Approach to Inverse Problems of Wave Equations

1.
Institute, of Mechanics, Academia Sinica, Beijing;
2.
Department of Mechanical Engineering, Dalian University of Technology, Dalian

摘要: 本文给出了一种求解波动方程反演问题的"多目标函数法".这种方法简单、有效,并具有明确的物理意义.对于三维问题的程序化它有很强的优越性.
- 反问题 /
- 波动方程 /
- 最优化
Abstract: We introduce a multi-cost-functional method for solving inverse problems of wave equations.This method has its simplicity,efficiency and good physical interpretation.It has the advantage of being programmed for two-or three-(space) dimensional problems as well as for one-dimensional problems.
- inverse problem /
- wave equation /
- optimization

[1]	Gubernatis,J.E.and E.Domany,The born approximation in the theory of the scattering of elastic waves by flaw,J.Appl.Phys.,48(1987),2812.
[2]	Bleistein,N.,On imaging of reflectors in the earth,Geophysics,52(1987),931-942.
[3]	Chavent,G.,M.Dupay and L.Lemonnier,History matching by use of optimal theory,Soc.Petrol.Eng.J.,259(1975),74-86.
[4]	Bamberger,A.,G.Chavent,C.Hemon and P.Lailly,Inversion of normal ineidence seismograms,Geophysics,47(1982),757-770.
[5]	Chen,Y.M.and G.Q.Xie,An iterative method fof simultaneous determination of bulk and shear moduli and density variation,J.Comp.Phys.,62(1986),143-163.
[6]	Xie,G.Q.,A new iterative method for solving the coefficient inverse problem of wave equation.Comm.Pure Appl.Math.,39(1986),307-322.
[7]	丁桦,梯度法在弹性波反问题中的应用,《第一届中国博士后联谊会学术年会文集》,1988年5月19日,清华大学出版社,北京(1989).