Abstract:

Electro-seismic imaging is a geophysical imaging modality where electromagnetic wave is used to induce seismic wave in porous media. The mathematical model was derived by S. Pride in 1994 as a coupled system of the Maxwell's equations and the Biot's equations. In this talk, we will discuss a coupled physics inverse problem arising in electro-seismic imaging. The problem consists of retrieval of source data in the Biot's equations and inversion of the Maxwell's equations from the internal measurement. We will describe a time reversal approach to reconstruct the source data, and then prove that some parameters in the Maxwell's equations can be uniquely and stably determined from such data. This is based on joint work with Jie Chen, Yixian Gao and Peijun Li.

Bio: Yang Yang is an assistant professor at the Department of Computational Mathematics, Science and Engineering (CMSE) at Michigan State University (MSU). His research interest is primarily on inverse problems with applications to medical and geophysical imaging. He received his B.S. in math from Zhejiang University and Ph.D in math from University of Washington under Prof. Gunther Uhlmann. After completing the Ph.D, he moved to Purdue University as a Golomb Visiting Assistant Professor and worked there with Prof. Plamen Stefanov before joining MSU in 2017.