\documentclass[10pt]{article}

\usepackage{fullpage}
\usepackage{setspace}
\usepackage{parskip}
\usepackage{titlesec}
\usepackage[section]{placeins}
\usepackage{xcolor}
\usepackage{breakcites}
\usepackage{lineno}
\usepackage{hyphenat}





\PassOptionsToPackage{hyphens}{url}
\usepackage[colorlinks = true,
            linkcolor = blue,
            urlcolor  = blue,
            citecolor = blue,
            anchorcolor = blue]{hyperref}
\usepackage{etoolbox}
\makeatletter
\patchcmd\@combinedblfloats{\box\@outputbox}{\unvbox\@outputbox}{}{%
  \errmessage{\noexpand\@combinedblfloats could not be patched}%
}%
\makeatother


\usepackage{natbib}




\renewenvironment{abstract}
  {{\bfseries\noindent{\abstractname}\par\nobreak}\footnotesize}
  {\bigskip}

\titlespacing{\section}{0pt}{*3}{*1}
\titlespacing{\subsection}{0pt}{*2}{*0.5}
\titlespacing{\subsubsection}{0pt}{*1.5}{0pt}


\usepackage{authblk}


\usepackage{graphicx}
\usepackage[space]{grffile}
\usepackage{latexsym}
\usepackage{textcomp}
\usepackage{longtable}
\usepackage{tabulary}
\usepackage{booktabs,array,multirow}
\usepackage{amsfonts,amsmath,amssymb}
\providecommand\citet{\cite}
\providecommand\citep{\cite}
\providecommand\citealt{\cite}
% You can conditionalize code for latexml or normal latex using this.
\newif\iflatexml\latexmlfalse
\providecommand{\tightlist}{\setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}}%

\AtBeginDocument{\DeclareGraphicsExtensions{.pdf,.PDF,.eps,.EPS,.png,.PNG,.tif,.TIF,.jpg,.JPG,.jpeg,.JPEG}}

\usepackage[utf8]{inputenc}
\usepackage[english]{babel}



\usepackage{float}








\begin{document}

\title{An Assessment of Errors Introduced in Estimation of Surface Wave Group
Velocities Due to Incorrect Assumptions}



\author[1]{Akash Kharita}%
\author[1]{Sagarika Mukhopadhyay}%
\affil[1]{Indian Institute of Technology Roorkee}%


\vspace{-1em}



  
  \date{June 17, 2024}


\begingroup
\let\center\flushleft
\let\endcenter\endflushleft
\maketitle
\endgroup





\selectlanguage{english}
\begin{abstract}
For estimation of surface wave group velocity at a given period (T), the
epicentral distance is divided by the difference in the arrival time of
the corresponding group and the origin time of the earthquake. Hence, it
is assumed that such waves are generated at the source/epicenter of the
earthquake. However, this assumption is not correct. This work describes
an effort to understand and quantify the amount of error that can creep
into the estimated surface-wave group velocity values due to wrong
assumptions used during their estimation. The error may affect the group
velocity values especially when regional earthquake data is used for
velocity estimation. The analysis was carried out using a horizontal
layer over the halfspace model. Errors were estimated at different
epicentral distances and periods for different layer thicknesses (H).
Also, focal depth (h) was varied from 5 km to just 5 km above the layer
boundary for each model. It is observed that for any combination of h,
H, and T, error in estimated group velocity decrease rapidly with
epicentral distance. The present work gives us some idea about what is
the minimum epicentral distance from which data can be included for
estimation of group velocity without adding significant error with such
a wrong assumption. It is observed that the minimum epicentral distance
at which error becomes less than or equal to a given percentage error
decreases with increasing focal depth, i.e. lower is the difference
between crustal thickness and focal depth, the lower is the error at a
given epicentral distance and period. This means that when the
difference between crustal thickness and the focal depth is low, even
local earthquake data may be used without adding much error in the
estimated group velocity values. For a given value of crustal thickness,
focal depth, and epicentral distance, error increase with increasing
period.%
\end{abstract}%



\sloppy


\textbf{Hosted file}

\verb`essoar.10511041.1.docx`  available at \url{https://authorea.com/users/523611/articles/600869-an-assessment-of-errors-introduced-in-estimation-of-surface-wave-group-velocities-due-to-incorrect-assumptions}

\textbf{Hosted file}

\verb`figure 1.docx`  available at \url{https://authorea.com/users/523611/articles/600869-an-assessment-of-errors-introduced-in-estimation-of-surface-wave-group-velocities-due-to-incorrect-assumptions}

\textbf{Hosted file}

\verb`figure 3.docx`  available at \url{https://authorea.com/users/523611/articles/600869-an-assessment-of-errors-introduced-in-estimation-of-surface-wave-group-velocities-due-to-incorrect-assumptions}

\textbf{Hosted file}

\verb`figure 2.docx`  available at \url{https://authorea.com/users/523611/articles/600869-an-assessment-of-errors-introduced-in-estimation-of-surface-wave-group-velocities-due-to-incorrect-assumptions}

\textbf{Hosted file}

\verb`tables.docx`  available at \url{https://authorea.com/users/523611/articles/600869-an-assessment-of-errors-introduced-in-estimation-of-surface-wave-group-velocities-due-to-incorrect-assumptions}

\selectlanguage{english}
\FloatBarrier
\end{document}

