Seismic Inversion with Optimal Transportation and Softplus Encoding
科研大讨论系列报告
报告题目(Title)：Seismic Inversion with Optimal Transportation and Softplus Encoding
报告人(Speaker)：邱凌云（清华大学丘成桐数学中心）
地点(Place)：后主楼1124
时间(Time)：2024年3月29日（周五）下午2:00-3:00
邀请人(Inviter)：段玉萍
报告摘要
This work is devoted to theoretical and numerical investigation of the local minimum issue in seismic full waveform inversion (FWI). We provide a mathematical analysis of optimal transportation type objective function's differentiability and proves that the gradient obtained in the adjoint-state method does not depend on the particular choice of the Kantorovich potentials. A novel approach using the softplus encoding method is presented to generalize and impose the OT metric on FWI. This approach improves the convexity of the objective function and mitigates the cycle-skipping problem. The effectiveness of the proposed method is demonstrated numerically on an inversion task with the benchmark Marmousi model.
