Exploration Geophysics Exploration Geophysics Society
Journal of the Australian Society of Exploration Geophysicists
RESEARCH ARTICLE

Multi-parameter full waveform inversion using Poisson’s ratio for elastic media

Ju-Won Oh 1 Dong-Joo Min 2 3
+ Author Affiliations
- Author Affiliations

1 Physical Science and Engineering Division, King Abdullah University of Science and Technology, 4700 Thuwal, 23955-6900, Saudi Arabia.

2 Department of Energy Systems Engineering, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul, 08826, Korea.

3 Corresponding author. Email: spoppy@snu.ac.kr

Exploration Geophysics 48(4) 456-475 https://doi.org/10.1071/EG16063
Submitted: 7 June 2016  Accepted: 8 June 2016   Published: 21 July 2016
Originally submitted to KSEG 16 January 2016, accepted 23 May 2016  

Abstract

In multi-parameter full waveform inversion (FWI), the success of recovering each parameter is dependent on characteristics of the partial derivative wavefields (or virtual sources), which differ according to parameterisation. Elastic FWIs based on the two conventional parameterisations (one uses Lamé constants and density; the other employs P- and S-wave velocities and density) have low resolution of gradients for P-wave velocities (or λ). Limitations occur because the virtual sources for P-wave velocity or λ (one of the Lamé constants) are related only to P–P diffracted waves, and generate isotropic explosions, which reduce the spatial resolution of the FWI for these parameters. To increase the spatial resolution, we propose a new parameterisation using P-wave velocity, Poisson’s ratio, and density for frequency-domain multi-parameter FWI for isotropic elastic media. By introducing Poisson’s ratio instead of S-wave velocity, the virtual source for the P-wave velocity generates P–S and S–S diffracted waves as well as P–P diffracted waves in the partial derivative wavefields for the P-wave velocity. Numerical examples of the cross–triangle–square (CTS) model indicate that the new parameterisation provides highly resolved descent directions for the P-wave velocity. Numerical examples of noise-free and noisy data synthesised for the elastic Marmousi-II model support the fact that the new parameterisation is more robust for noise than the two conventional parameterisations.

Key words: elastic media, frequency domain, full waveform inversion, multi-parameter, parameterisation, Poisson’s ratio, virtual source.


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