Compressive simultaneous full‐waveform simulation

2009 ◽  
Author(s):  
Tim T.Y. Lin ◽  
Felix J. Herrmann ◽  
Yogi A. Erlangga
Keyword(s):  
Full Waveform ◽  
Waveform Simulation

Use of 3D Computer Seismic Full Waveform Simulation for Validation of Porous-fractured Reservoirs Predictions

2012 ◽  
Author(s):  
J.A. Titova ◽  
S.M. Glubokovskikh ◽  
V.E. Rok ◽  
S.A. Kaplan ◽  
V.D. Levtchenko
Keyword(s):  
Fractured Reservoirs ◽  
Full Waveform ◽  
Waveform Simulation

Compressive simultaneous full-waveform simulation

Geophysics ◽  
2009 ◽  
Vol 74 (4) ◽  
pp. A35-A40 ◽  
Author(s):  
Felix J. Herrmann ◽  
Yogi A. Erlangga ◽  
Tim T. Lin
Keyword(s):  
Compressive Sensing ◽  
Time Domain ◽  
Sampling Rate ◽  
Simulated Data ◽  
Significant Cost ◽  
Full Waveform ◽  
Time Harmonic ◽  
Wavefield Simulation ◽  
Waveform Simulation ◽  
Major Impediment

The fact that the computational complexity of wavefield simulation is proportional to the size of the discretized model and acquisition geometry and not to the complexity of the simulated wavefield is a major impediment within seismic imaging. By turning simulation into a compressive sensing problem, where simulated data are recovered from a relatively small number of independent simultaneous sources, we remove this impediment by showing that compressively sampling a simulation is equivalent to compressively sampling the sources, followed by solving a reduced system. As in compressive sensing, this reduces sampling rate and hence simulation costs. We demonstrate this principle for the time-harmonic Helmholtz solver. The solution is computed by inverting the reduced system, followed by recovering the full wavefield with a program that promotes sparsity. Depending on the wavefield’s sparsity, this approach can lead to significant cost reductions, particularly when combined with the implicit preconditioned Helmholtz solver, which is known to converge even for decreasing mesh sizes and increasing angular frequencies. These properties make our scheme a viable alternative to explicit time-domain finite differences.

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