Comparisons For Waveform Inversion, Time Domain Or Frequency Domain?

The Earth model parameters are essential to hydrocarbon exploration. In particular, the velocity representation of the subsurface permanently engages creative minds to find ways to derive more accurate fields. One of these tools is full waveform inversion. This compute-intensive tool uses acquired seismic data and forward modeling to obtain a velocity field in an iterative manner. Since the mideighties, the geophysical community has been devoting considerable research to waveform inversion. The inversion can be implemented in either the time or frequency domain. In this paper, we investigate the pros and cons for each domain along with some discussion on their ability to be used for 3D surveys.

[1]  A. Tarantola Inversion of seismic reflection data in the acoustic approximation , 1984 .

[2]  A. Tarantola,et al.  Two‐dimensional nonlinear inversion of seismic waveforms: Numerical results , 1986 .

[3]  A. Pica,et al.  Nonliner inversion of seismic reflection data in a laterally invariant medium , 1990 .

[4]  Mark Noble,et al.  Robust elastic nonlinear waveform inversion: Application to real data , 1990 .

[5]  Mark Noble,et al.  Nonlinear elastic waveform inversion of land seismic reflection data , 1992 .

[6]  G. McMechan,et al.  2‐D full‐wavefield inversion for wide‐aperture, elastic, seismic data , 1992 .

[7]  C. Bunks,et al.  Multiscale seismic waveform inversion , 1995 .

[8]  Hicks,et al.  Gauss–Newton and full Newton methods in frequency–space seismic waveform inversion , 1998 .

[9]  R. Shipp,et al.  Seismic waveform inversion in the frequency domain, Part 2: Fault delineation in sediments using crosshole data , 1999 .

[10]  René-Édouard Plessix,et al.  Separation-of-variables as a preconditioner for an iterative Helmholtz solver , 2003 .

[11]  R. Gerhard Pratt,et al.  Efficient waveform inversion and imaging: A strategy for selecting temporal frequencies , 2004 .

[12]  Jonathan B. Ajo-Franklin,et al.  Frequency-Domain Modeling Techniques for the Scalar Wave Equation : An Introduction , 2005 .

[13]  K. Nihei,et al.  Computation of 3D Frequency-Domain Waveform Kernals for c(x,y,z) Media , 2006 .

[14]  S. Operto,et al.  3D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: A feasibility study , 2007 .

[15]  3D Pre-Stack Plane Wave Full Waveform Inversion , 2007 .

[16]  Xiaoye S. Li,et al.  Frequency response modelling of seismic waves using finite difference time domain with phase sensitive detection (TD–PSD) , 2007 .

[17]  D. Vigh,et al.  3D Pre-Stack Plane Wave Full Waveform Inversion , 2008 .