Sparse laterally constrained inversion of surface-wave dispersion curves via minimum gradient support regularization
Sparse laterally constrained inversion of surface-wave dispersion curves via minimum gradient support regularization
Geophysics (June 2022) 87 (3): R281-R289
- body waves
- clastic sediments
- clay
- elastic waves
- Europe
- finite element analysis
- geophysical methods
- guided waves
- inverse problem
- mathematical methods
- Norway
- numerical models
- one-dimensional models
- reflection methods
- S-waves
- Scandinavia
- sediments
- seismic methods
- seismic waves
- signal-to-noise ratio
- surface waves
- wave dispersion
- Western Europe
- seismic inversion
We have developed a 1D laterally constrained inversion of surface-wave dispersion curves based on the minimum gradient support regularization, which allows solutions with tunable sharpness in the vertical and horizontal directions. The forward modeling consists of a finite-elements approach incorporated in a flexible nonparametric gradient-based inversion scheme, which has already demonstrated good stability and convergence capabilities when tested on other kinds of data. Our deterministic inversion procedure is performed in the shear-wave velocity log space as we noticed that the associated Jacobian indicates a reduced model dependency, and this, in turn, decreases the risks of local nonconvexity. We show several synthetics and one field example to demonstrate the effectiveness and the applicability of the proposed approach.