Consequences of parameterization choices in surface wave inversion: Insights from transdimensional Bayesian methods

S U M M A R Y Inversion of surface wave data for crustal and upper-mantle structure is a staple of passive seismology, particularly since the advent of techniques enabling surface wave dispersion (SWD) and Rayleigh wave ellipticity measurements from ambient noise. Recent development and application of transdimensional Bayesian (TB) seismic inversion offers an approach to quantify model parameter uncertainties and trade-offs with fewer assumptions than traditional methods. Using synthetic tests, we investigate choices in the implementation of TB for the inversion of SWD and Rayleigh wave ellipticity to constrain the structure of Earth’s continental lithosphere. We focus on three aspects of the inversion: limitation of data sensitivity, assumed scaling among parameters (compressional wave speed, Vp, shear wave speed, Vs, density and radial anisotropy) and parametrization choices. We show that while surface wave data provide relatively strong constraints on the posterior distribution of Vs and, to a lesser extent, Vp, common parametrization choices can potentially bias structure estimates. This is particularly the case for radial anisotropy (ξ ), due to the inability to distinguish variations of Vp and density from those of ξ . Inferred results therefore depend substantially on the parametrization and scaling choices. We illustrate how layered parametrizations can, in the TB framework, recover smoothly varying profiles, and quantify the number of layers recoverable at different levels of measurement uncertainty. Finally, we propose two types of model parametrization for TB inversion involving multiple types of parameters. We demonstrate that by implementing an independent parametrization for different physical quantities, we can avoid imposing identical model geometry across multiple types of model parameters, and obtain better model estimates with reduced trade-offs. We advocate for such a parametrization in TB inversion of radial anisotropy using surface wave data, and when targeting disparate Vp and Vs structures such as those associated with α-β quartz transtion.