Dr. Wenyuan Liao
Dr. Wenyuan Liao
University of Calgary, Canada
Title: Recent Development on the Computational Methods for Geophysical Inversion Problems
Full Waveform Inversion (FWI) is a powerful data-fit approach that has been widely used in parameter estimation problems arise in Exploration Geophysics. FWI was firstly formulated by Albert Tarantola in 1984, since then it has been studied extensively in the past three decades, and a great deal of work has been devoted to it. However, given the high degree of complexity, exact solution of FWI is rarely possible, and computational methods are required for this method to be used in industry. It is well-known that FWI is a computationally intensive process. Moreover, it is an ill-posed inverse problem requiring extra efforts during the computational process. In this talk I will outline some recent developments on the computational method for solving FWI. Topics to be covered include efficient numerical methods for seismic wave equations in time domain and in frequency domain, adjoint analysis and the gradient-based optimization methods, regularization strategies for the well-posedness of the PDE-constrained optimization problem, etc. At the end of the talk, several numerical examples are provided to give the audience a better understanding of the difficulties and progress in solving FWI problem
Dr. Wenyuan Liao is a Professor at the Department of Mathematics and Statistics at the University of Calgary, Canada. He holds a Master Degree in Computer Science and a PhD degree in Computational Mathematics, both from Mississippi State University, USA, in May and August 2003, respectively. He was a Postdoctoral Fellow at the Department of Computer Science at Virginia Polytechnic Institute and State University, from 2003 to 2005, before he joined the Department of Mathematics as a Postdoctoral Research Fellow at the Department of Mathematics at McMaster University, Canada. He joined the Department of Mathematics and Statistics at the University of Calgary as a Tenure-Track Assistant Professor in 2007, and was awarded tenure and promotion in 2013. Dr. Liao’s research work covers a broad range of topics in applied and computational mathematics, with applications in geophysics, environment, atmospheric and oil & gas reservoir simulation, and related industrial applications. His research interests include Numerical Analysis and methods for Seismic Imaging problems, Mathematical Analysis and Computational Methods for Geophysical Inversion, Inverse Modelling, PDE-constrained Optimization and Parallel Algorithm. He has published more than 60 research papers in prestigious journals and conference proceedings, such as Journal of Computational Physics, Applied Mathematics and Computation, Computer Physics Communications, Geophysical Journal International, Journal of Computational and Applied Mathematics, Engineering Computations, etc. He is now on the editorial board of two international journals and served as Technical Program Committee Member on several international conferences and workshops. He is currently interested in the development and analysis of efficient computational methods for solving Full Waveform Seismic Inversion problems, and its applications in oil exploration. Dr. Liao is active member of various professional organizations, such as AMS, CMS, SIAM, SEG and CSEG.