Seismic events have limited time duration,vary with space/traveltime and interact with the local subsurface medium during propagation.Partitioning is a valu-able strategy for nonstationary seismic data analysis,proces...Seismic events have limited time duration,vary with space/traveltime and interact with the local subsurface medium during propagation.Partitioning is a valu-able strategy for nonstationary seismic data analysis,processing and wave propagation.It has the potential for sparse data representation,flexible data operation and highly accurate local wave propagation.Various local transforms are powerful tools for seismic data segmentation and representation.In this paper,a detailed description of a multi-dimensional local harmonic transformed domain wave propagation and imaging method is given.Using a tensor product of a Local Exponential Frame(LEF)vector as the time-frequency atom(a drumbeat)and a Local Cosine Basis(LCB)function as the space-wavenumber atom(a beamlet),we construct a time-frequency-space-wavenumber local atom-dreamlet,which is a combination of drumbeat and beamlet.The dreamlet atoms have limited spatial extension and temporal duration and constitute a complete set of frames,termed as dreamlet frames,to decompose and represent the wavefield.The dreamlet transform first partitions the wavefields using time-space supporting functions and then the data in each time-space blocks is repre-sented by local harmonic bases.The transformed wavefield is downward-continued by the dreamlet propagator,which is the dreamlet atom evolution weightings deduced from the phase-shift one-way propagator.The dreamlet imaging method is formulated with a local background propagator for large-scale medium propagation and com-bined with a local phase-screen correction for small-scale perturbations.The features of dreamlet migration and imaging include sparse seismic data representation,accurate wave propagation and the flexibility of localized time operations during migration.Numerical tests using Sigsbee 2A synthetic data set and real marine seismic data demonstrate the validity and accuracy of this method.With time-domain localization being involved,the dreamlet method can also be applied effectively to target-oriented migration and imaging.展开更多
Ru-Shan Wu has made seminal contributions in many research areas in geophysics,such as seismic-wave propagation,scattering,imaging,and inversion.We highlight some of his research in holography imaging,diffraction tomo...Ru-Shan Wu has made seminal contributions in many research areas in geophysics,such as seismic-wave propagation,scattering,imaging,and inversion.We highlight some of his research in holography imaging,diffraction tomography,seismic-wave scattering and its applications to studying Earth’s heterogeneity,oneway wave propagation and one-return wave modeling,beamlet and dreamlet applications,strong non-linear full-waveform inversion,and direct envelop inversion.展开更多
基金国家自然科学基金项目(4073042440674064)+3 种基金WTOPI(Wavelet Transform On Propagation and Imaging for seismic exploration)Project at University of CaliforniaSanta CruzUnited States国家建设高水平大学公派研究生项目资助
基金国家自然科学基金重点项目(40730424)国家科技重大专项(2011ZX05023-005)+3 种基金WTOPI (Wavelet Transform on Propagation and Imaging for seismic exploration) Projectat University of CaliforniaSanta CruzUnited States国家建设高水平大学公派研究生项目资助
基金supported by the National Natural Science Foundation of China(41604106,41674123,11871392)the Fundamental Research Funds for the Center Universities(xjj2018260)+1 种基金the China Postdoctoral Foundation(2016M600780)WTOPI(Wavelet Transform On Propagation and Imaging for seismic exploration)Project at University of California,Santa Cruz.
文摘Seismic events have limited time duration,vary with space/traveltime and interact with the local subsurface medium during propagation.Partitioning is a valu-able strategy for nonstationary seismic data analysis,processing and wave propagation.It has the potential for sparse data representation,flexible data operation and highly accurate local wave propagation.Various local transforms are powerful tools for seismic data segmentation and representation.In this paper,a detailed description of a multi-dimensional local harmonic transformed domain wave propagation and imaging method is given.Using a tensor product of a Local Exponential Frame(LEF)vector as the time-frequency atom(a drumbeat)and a Local Cosine Basis(LCB)function as the space-wavenumber atom(a beamlet),we construct a time-frequency-space-wavenumber local atom-dreamlet,which is a combination of drumbeat and beamlet.The dreamlet atoms have limited spatial extension and temporal duration and constitute a complete set of frames,termed as dreamlet frames,to decompose and represent the wavefield.The dreamlet transform first partitions the wavefields using time-space supporting functions and then the data in each time-space blocks is repre-sented by local harmonic bases.The transformed wavefield is downward-continued by the dreamlet propagator,which is the dreamlet atom evolution weightings deduced from the phase-shift one-way propagator.The dreamlet imaging method is formulated with a local background propagator for large-scale medium propagation and com-bined with a local phase-screen correction for small-scale perturbations.The features of dreamlet migration and imaging include sparse seismic data representation,accurate wave propagation and the flexibility of localized time operations during migration.Numerical tests using Sigsbee 2A synthetic data set and real marine seismic data demonstrate the validity and accuracy of this method.With time-domain localization being involved,the dreamlet method can also be applied effectively to target-oriented migration and imaging.
文摘Ru-Shan Wu has made seminal contributions in many research areas in geophysics,such as seismic-wave propagation,scattering,imaging,and inversion.We highlight some of his research in holography imaging,diffraction tomography,seismic-wave scattering and its applications to studying Earth’s heterogeneity,oneway wave propagation and one-return wave modeling,beamlet and dreamlet applications,strong non-linear full-waveform inversion,and direct envelop inversion.
