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Elastic full waveform inversion in VTI media using logging data constraints and gradient precondition

Abstract

Elastic full waveform inversion (EFWI) in VTI media using velocity model-based parameterization (PARM-VTIEFWI) can improve the sensitivity of anisotropic parameters, but there are still the problems of gradient’s interference and Non-unique. Research has shown that logging data can constrain the Non-unique of FWI. Therefore, in this paper, we use the logging data as a constraint to limit the Non-unique of the PARM-VTIEFWI. We derive the objective function and gradient equation for the PARM-VTIEFWI based on the constraint of logging information. In addition, to reduce the interference between the gradients of parameters in VTI media, we incorporate a pseudo-Hessian matrix to precondition the gradients and derive a gradient preconditioning formula based on the pseudo-Hessian matrix in this paper. In summary, we propose a new PARM-VTIEFWI method based on logging information constraint and gradient precondition, which reduces the interference between the parameter gradients and constrains the Non-unique of the inversion. The correctness and validity of the method were demonstrated by examples.

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Data availability statement

This data’s website is provided by Sagar Singh. Data associated with this research are available and can be accessed via the following URL: data.equinor.com.

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Funding

National Natural Science Foundation of China, 42074133, Zhang Kai, Fundamental Research Funds for the Central Universities, 19CX02056A, Zhenchun Li, China National Petroleum Corporation, ZD2019-183-003, Zhenchun Li.

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Correspondence to Kai Zhang.

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No potential competing interest was reported by the authors.

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Edited by Prof. Ali Gholami (ASSOCIATE EDITOR) / Prof. Gabriela Fernández Viejo (CO-EDITOR-IN-CHIEF).

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Xu, Y., Zhang, K., Li, Z. et al. Elastic full waveform inversion in VTI media using logging data constraints and gradient precondition. Acta Geophys. 70, 1665–1676 (2022). https://doi.org/10.1007/s11600-022-00825-4

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  • DOI: https://doi.org/10.1007/s11600-022-00825-4

Keywords

  • Elastic wave
  • Anisotropy
  • Logging data constraints
  • FWI
  • Gradient precondition