The site https://www.seismosoc.org/publications/bssa-submission-guidelines/, mentioned in your comment to @moewe, provides the following guidelines for how three types of bibliographic entries -- @article
, @book
, and @incollection
-- should be formatted:

I don't think that either plainnat
or abbrvnat
provide decent approximations to these guidelines. The apalike
bib style doesn't provide a perfect match either, but IMNSHO it does provide a reasonable first approximation. (If you need help adapting the apalike
bib style to bold-face the volume
number in entries of type @article
, please post a separate question.)
Incidentally, for reasons I don't claim to understand, I could not get the code shown below to compile correctly when using the amsart
document class. However, it compiles fine under the article
class.

\documentclass{article} % select a suitable document class
\begin{filecontents}[overwrite]{mybib.bib}
@article{hough-martin:2002,
author = "Hough, Susan E. and Stacey Martin",
year = 2002,
title = "Magnitude estimates of two large aftershocks of
the 16 {December} 1811 {New Madrid} earthquake",
journal = "Bull.\ Seism.\ Soc.\ Am.",
volume = 92,
pages = "3259-3268",
}
@book{gutenberg:1959,
author = "Gutenberg, Beno",
year = 1959,
title = "Physics of the Earth's Interior",
publisher="Academic Press",
address = "New York",
pages = "111-113",
}
@incollection{laster-etal:1967,
author = "Laster, Stanley J. and Milo M. Backus and Richard Schell",
year = 1967,
title = "Analog mode studies of the simple refraction problem",
booktitle="Seismic Refraction Prospecting",
editor = "Albert W. Musgrave",
publisher="Society of Exploration Geophysics",
address = "Tulsa, Oklahoma",
pages = "15-66",
}
\end{filecontents}
\usepackage[authoryear,round]{natbib}
\setlength\bibhang{0pt} % optional
\setlength\bibsep{1ex} % optional
\bibliographystyle{apalike}
\begin{document}
\nocite{*}
\bibliography{mybib}
\end{document}
plainnat
will make the journal happy, but it should be able to produce citations like this. I guess the bigger question is if and how the journal you want to submit to accepts LaTeX submissions (often journals that do have a journal template or at least some guidance for LaTeX users telling them what to do with the bibliography)