WouterDls/1D-wavelet-based-inversion: Wavelet Based Inversion

First release of our WABI-code!

Scale-dependent wavelet-based regularization scheme for geophysical 1D inversion

This flexible inversion scheme allows to easily obtain blocky, smooth and intermediate inversion models. Different inversion models are obtained by simply changing the wavelet basis.

• db1: blocky inversion models
• db2-db4: sharper inversion models
• db5+: smoother inversion models

Daubechies (db) wavelets are ideal (see Deleersnyder et al, 2021), however, other wavelets can also be used. Simply run pywt.wavelist() to list the available options. The shape of the wavelet basis function (e.g., look here) is an indication of the type of minimum-structure the regularization method will promote.

How to cite

The method:

Deleersnyder, W., Maveau, B., Hermans, T., & Dudal, D. (2021). Inversion of electromagnetic induction data using a novel wavelet-based and scale-dependent regularization term. Geophysical Journal International, 226(3), 1715-1729. DOI: https://doi.org/10.1093/gji/ggab182

Open Access version on ResearchGate

The code:

Wouter Deleersnyder, & Robin Thibaut. (2022). WouterDls/1D-wavelet-based-inversion: Wavelet Based Inversion (0.1.0). Zenodo. https://doi.org/10.5281/zenodo.6552695