Performance comparison of Newton and quasi-Newton methods in frequency-domain acoustic full waveform inversion for a synthetic model

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Abolhassani siamak; AMINI NAVID; SIAHKOOHI HAMID REZA

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Journal: JOURNAL OF RESEARCH ON APPLIED GEOPHYSICS Year:2017 | Volume:3 | Issue:1 Page(s): 29-42

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Title

Performance comparison of Newton and quasi-Newton methods in frequency-domain acoustic full waveform inversion for a synthetic model

Author(s)

Abolhassani siamak | AMINI NAVID | SIAHKOOHI HAMID REZA | Issue Writer Certificate

Keywords

GNSeismic

Imaging

Acoustic Full Waveform Inversion

Nonlinear Optimization

Gauss-Newton Optimization

Quasi-Newton Optimization

Limited Memory-BFGS

Pseudo Hessian

Abstract

Today, the significance of the velocity model estimation in seismic migration as well as time to depth conversion of seismic sections is very clear to every geophysicist. From a practical point of view, approaches such as well logging techniques or direct observations cannot provide a reliable description of regional scale physical properties of the earth. Seismic Imaging is a tool to describe the earth physical properties. Today, one of the Imaging techniques, which is highly welcomed by geoscientists is the full waveform inversion (FWI). The full waveform inversion-an efficient method in seismic Imaging-uses all available information in the seismograms, including the amplitude, phase, and the first arrival time so as to judge the physical properties of the earth. In fact, FWI is represented as an optimization problem by defining a misfit function, which measures differences between the observed waveforms and the computed waveforms. In FWI, the size of the model space parameters will not allow us using global minimization algorithms. Therefore, we minimize the misfit function by local optimization methods. A waveform inversion problem is usually solved repetitively by the gradient-based solutions. In this paper, we have compared two gradient optimization algorithms of Gauss-Newton algorithm based on the main diagonal of the Pseudo Hessian matrix (GN-DPH) and the Limited Memory-BFGS (LBFGS). Although the L-BFGS does not need the computation of Hessian matrix, but according to the numerical tests on synthetic models, we have found that GN-DPH algorithm results are more accurate than L-BFGS after 40 iterations.....

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APA: Copy

Abolhassani, siamak, AMINI, NAVID, & SIAHKOOHI, HAMID REZA. (2017). Performance comparison of Newton and quasi-Newton methods in frequency-domain acoustic full waveform inversion for a synthetic model. JOURNAL OF RESEARCH ON APPLIED GEOPHYSICS, 3(1 ), 29-42. SID. https://sid.ir/paper/268595/en

Vancouver: Copy

Abolhassani siamak, AMINI NAVID, SIAHKOOHI HAMID REZA. Performance comparison of Newton and quasi-Newton methods in frequency-domain acoustic full waveform inversion for a synthetic model. JOURNAL OF RESEARCH ON APPLIED GEOPHYSICS[Internet]. 2017;3(1 ):29-42. Available from: https://sid.ir/paper/268595/en

IEEE: Copy

siamak Abolhassani, NAVID AMINI, and HAMID REZA SIAHKOOHI, “Performance comparison of Newton and quasi-Newton methods in frequency-domain acoustic full waveform inversion for a synthetic model,” JOURNAL OF RESEARCH ON APPLIED GEOPHYSICS, vol. 3, no. 1 , pp. 29–42, 2017, [Online]. Available: https://sid.ir/paper/268595/en

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