Mon Dec 15, F. Flechtner
• Sorted by Date • Sorted by Last Name of First Author •
Yang, Fan, Shen, Yingchun, Zhang, Weihang, and Forootan, Ehsan, 2025. On the Choice of Basis Functions for Modeling Earth's Elastic Deformation Due To Surface Loading. Journal of Geophysical Research (Solid Earth), 130(10):e2025JB031662, doi:10.1029/2025JB031662.
• from the NASA Astrophysics Data System • by the DOI System •
@ARTICLE{2025JGRB..13031662Y,
author = {{Yang}, Fan and {Shen}, Yingchun and {Zhang}, Weihang and {Forootan}, Ehsan},
title = "{On the Choice of Basis Functions for Modeling Earth's Elastic Deformation Due To Surface Loading}",
journal = {Journal of Geophysical Research (Solid Earth)},
keywords = {GNSS, basis function, TWS, GRACE, Earth deformation},
year = 2025,
month = oct,
volume = {130},
number = {10},
eid = {e2025JB031662},
pages = {e2025JB031662},
abstract = "{Accurately modeling Earth's elastic deformation due to surface loads is
essential for geodetic and geophysical studies, including
investigations of climate change, hydrology, and tectonics.
Various basis functions, such as spherical harmonics, Green's
functions, disk functions, and Slepian functions, are commonly
used to describe the relationship between surface loads and
deformation. However, the strengths and limitations of these
basis functions have not been systematically compared, leading
to potential uncertainties in the modeling results. This study
evaluates six basis functions, including the above four and two
newly developed approaches of infinite Green's functions and
clustered disk-load Green's functions. We analyze their
performance in forward modeling of Earth's vertical displacement
and assess two primary sources of uncertainty: (a) native errors
inherent to each basis function and (b) artificial errors
introduced by improper configuration, for example, over-
smoothing and aliasing. Our results demonstrate that these
errors can be as significant as the uncertainties associated
with Earth structure assumptions. Furthermore, we emphasize the
importance of how surface load data is treated, whether as
discrete point values, as uniform block values, or as block mean
values, and how this choice impacts the selection of the basis
function and the accuracy of the model. Based on our findings,
we provide practical recommendations for selecting the most
suitable basis function for different applications. Although our
study focuses on vertical displacement, the insights gained are
also relevant to modeling geoid changes, gravity variations, and
strain fields. These findings contribute to improving the
reliability of geodetic methods for studying Earth's dynamic
processes.}",
doi = {10.1029/2025JB031662},
adsurl = {https://ui.adsabs.harvard.edu/abs/2025JGRB..13031662Y},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
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Mon Dec 15, F. Flechtner