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

An elastic full-waveform inversion based on wave-mode separation

Yingming Qu 1 4 Jinli Li 2 3 Zhenchun Li 1 Jianping Huang 1
+ Author Affiliations
- Author Affiliations

1 School of Geosciences, China University of Petroleum, Qingdao 266580, China.

2 Institute of Geophysical and Geochemical Exploration, Chinese Academy of Geological Sciences, Langfang 065000, China.

3 The National Center for Geological Exploration Technology, Langfang 065000, China.

4 Corresponding author. Email: qu_geophysics@yahoo.com

Exploration Geophysics - https://doi.org/10.1071/EG16158
Submitted: 19 December 2016  Accepted: 18 July 2017   Published online: 15 September 2017

Abstract

Multi-parameter elastic full-waveform inversion (EFWI) attempts to find high resolution model parameters that are able to match observed data exactly by minimising residuals between the observed and predicted data. However, the coupling of Vp and Vs, and the cross-talk artefacts between P- and S-wave modes increase non-uniqueness and ill-conditionedness. We propose a new EFWI method based on P- and S-wave mode separation to mitigate these problems. In this method, we derive the gradient formulas with respect to various wave modes using a P- and S-wave mode separated first-order velocity-stress wave equation, and use a step search method in subspace to calculate the corresponding step lengths. The algorithm, called wave-mode separation EFWI (SEFWI), appears to be helpful to weaken non-uniqueness and ill-conditionedness of conventional EFWI by decoupling multiple parameters. Numerical examples conducted with a synthetic dataset modelled on a simple model with anomalies reveal that SEFWI can reduce the cross-talk artefacts between P- and S-wave modes. Synthetic tests on the Marmousi2 model demonstrate that SEFWI yields better inversion results than conventional EFWI. Although the computational cost of SEFWI per iteration is 1.81 times as much as that of EFWI, the total computational cost is almost at the same level, because of its faster convergence rate.

Key words: elastic full-waveform inversion, encoding multi-source, multi-scale decomposition, P- and S-wave mode separation, step search method in subspace, time-domain.


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