1. Acoustic waveform inversion in frequency domain: Application to a tunnel environment
- Author
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Klaus Hackl, Matthias Baitsch, Hehua Zhu, Christopher Riedel, and Khayal Musayev
- Subjects
Computer science ,Tunneling ,Acoustics ,0211 other engineering and technologies ,02 engineering and technology ,Seismic imaging ,010502 geochemistry & geophysics ,Space (mathematics) ,01 natural sciences ,Inversion (discrete mathematics) ,Perfectly matched layers ,Full waveform inversion ,TA703-712 ,021101 geological & geomatics engineering ,0105 earth and related environmental sciences ,Civil and Structural Engineering ,Wave propagation ,Attenuation ,Building and Construction ,Engineering geology. Rock mechanics. Soil mechanics. Underground construction ,Inverse problem ,Geotechnical Engineering and Engineering Geology ,Finite element method ,Nonlinear system ,Frequency domain ,Vector field - Abstract
Waveform inversion is an approach used to find an optimal model for the velocity field of a ground structure such that the dynamic response is close enough to the given seismic data. First, a suitable numerical approach is employed to establish a realistic forward computer model. The forward problem is solved in the frequency domain using higher-order finite elements. The velocity field is inverted over a specific number of discrete frequencies; thereby, reducing the computational cost of the forward calculation and the nonlinearity of the inverse problem. The results are presented for different frequency sets and with different source and receiver locations for a two-dimensional model. The influence of attenuation effects is also investigated. The results of two blind tests are presented where only the seismic records of an unknown synthetic model with an inhomogeneous material parameter distribution are provided to mimic a more realistic case. Finally, the result of the inversion in a three-dimensional space is illustrated.
- Published
- 2021