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\begin{document}

\title{Direct inversion of surface wave dispersion data with multiple-grid
parameterization and its application to a dense array in Chaohu lake}



\author[1]{Song Luo}%
\author[1]{Huajian Yao}%
\author[1]{Kangdong Wang}%
\affil[1]{University of Science and Technology of China}%


\vspace{-1em}



  
  \date{May 20, 2024}


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\begin{abstract}
The approach of direct inversion of surface wave dispersion data to
obtain shallow earth structure becomes popular compared with the
traditional two-step surface wave tomographic method. However, some
fundamental problems still exist on selecting proper grids to
parameterize model. In this study, we apply model parameterization with
a multiplegrid scheme to the direct inversion method. A multiple-grid
scheme represents a combination of several collocated grids, such as
staggered grids, multiscale grids and multiscale-staggered grids. At
each iteration, direct inversion is applied to each individual
collocated grid to invert for S-wave velocity perturbations that is then
interpolated to a predefined base grid using a 3-D B-spline
interpolation method. At the end of each iteration, the S-wave velocity
perturbations of all collocated grids are averaged together. The
averaged perturbations are used to update the 3-D S-wave velocity model
that is then used as an initial model for the next iteration. The
efficiency of the multiple-grid direct inversion method is demonstrated
by applying it to a dense array in Chaohu lake, a special area with the
Tanlu fault zone (TFZ) passed through. Synthetic examples confirm a
better performance of the multiple-grid direct inversion method than the
traditional one. A detailed shallow 3-D S-wave velocity model of the
Chaohu lake is obtained after applying the multiple-grid direct
inversion method to real data. The velocity model reveals a staggered
pattern of velocity variations with low-velocity anomalies in the Hefei
basin and eastern Chaohu lake and prominent deep rooted and
high-velocity anomalies beneath the TFZ and Yinping mountain, which may
associated with the multi-stage tectonic activities in the Tanlu fault.
The multiple-grid scheme of this study can further be applied to other
tomographic approaches in the near future.%
\end{abstract}%



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