Frequency Extrapolation from Band-limited Data
发布时间：2018年02月22日
浏览次数：6673
发布者: Xiaoni Tan
主讲人： Rongrong Wang (Michigan State University)
活动时间： 从 2018-03-05 10:00 到 11:00
场地： 北京国际数学研究中心，全斋全29教室
Frequency extrapolation from band-limited data is an important problem in the field of exploration seismology. Due to physical constraints, the frequency range of seismic data are approximately 5Hz-180Hz depending on the specific setup of the survey. This band is often considered severely limiting in both the low and high frequency extent for the purposes of deducing large-scale structures as well as fine features of the underlying subterranean geology. In particular, the missing low frequencies from 0Hz to 5Hz are known to be extremely essential for an accurate inversion procedure. In this talk, we study possible approaches to solve the frequency extrapolation problem from mid-band data. In particular, we provide conditions as well as theoretical guarantees for an accurate spectrum reconstruction. The results are further supported by both stylized numerical experiments as well as a simulation for seismic inversion.
