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\begin{document}

\title{Structure estimation of 2D listric faults using quadratic Bezier curve
for depth varying density distributions}



\author[1]{Arka Roy}%
\author[1]{Thatikonda Suresh Kumar}%
\author[1]{Rajat Kumar Sharma}%
\affil[1]{National Centre for Earth Science Studies}%


\vspace{-1em}



  
  \date{June 10, 2024}


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\begin{abstract}
A contemporary and decisive optimization algorithm is developed for
inverting gravity anomalies due to listric faults. The cross-section of
listric faults are generally concave up, and the dip of the fault plane
gradually decreases with depth. Quadratic Bezier curves are utilized to
represent the curvature of the fault plane. The densities of sediment
deposition are assumed to be known and can take any functional form of
depth. By constraining the density, a global optimization algorithm is
adopted to estimate the fault structure by inverting control point
parameters of Bezier curves. The presented algorithm is implemented in
two different synthetic models having fixed and depth varying density
contrasts. The robustness of the algorithm is authenticated by
incorporating white Gaussian noise into synthetic gravity anomalies. A
detailed uncertainty appraisal is also performed to justify the
reliability of the algorithm. Finally, a real structure is reconstructed
using observed gravity anomalies, and the estimated structure is
verified with the structure obtained in previously published literature.
Furthermore, a Matlab based GUI is developed such that any user can
estimate real listric fault structure without any computational
difficulties.%
\end{abstract}%



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