Volume 6, Issue 4
A Level Set Method for the Inverse Problem of Wave Equation in the Fluid-saturated Porous Media

Ying He and Bo Han

Commun. Comput. Phys., 6 (2009), pp. 793-803.

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  • Abstract

In this paper, a level set method is applied to the inverse problem of 2-D wave equation in the fluid-saturated media. We only consider the situation that the parameter to be recovered takes two different values, which leads to a shape reconstruction problem. A level set function is used to present the discontinuous parameter, and a regularization functional is applied to the level set function for the ill-posed problem. Then the resulting inverse problem with respect to the level set function is solved by using the damped Gauss-Newton method. Numerical experiments show that the method can recover parameter with complicated geometry and the noise in the observation data.

  • History

Published online: 2009-06

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