Terrain Corrections for Gravity Gradiometry
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Date
2012-06
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Publisher
Ohio State University. Division of Geodetic Science
Abstract
This study developed a geostatistical method to determine the required extent of
terrain corrections for gravity gradients under the criterion of different applications. We
present the different methods to compute the terrain corrections for gravity gradients for
the case of ground and airborne gravity gradiometry. In order to verify our geostatistical
method and study the required extent for different types of terrain, we also developed a
method to simulate topography based on the covariance model. The required extents were
determined from the variance of truncation error for one point, or furthermore from the
variance of truncation error difference for a pair of points, and these variances were
verified with that from the deterministic method. The extent of terrain correction was
determined for ground gradiometry based on simulated, ultra-high resolution topography
for very local application, and also was determined based on mountainous topography of
large areas. For airborne gradiometry, we compute the terrain corrections and the
required extent based on Air-FTG observations at Vinton Dome, LA and Parkfield, CA
area; also they were verified with the results of Bell Geospace. Finally, from the mostly
flat, medium rough and mountainous areas, an empirical relationship was developed
which has the properties that the required extent has 4 times relationship corresponding to
the amplitude of PSD has 100 times relationship between mountainous and mostly flat
areas, and it can be interpolated for other types of topography from their geostatistics.
Description
This report was prepared for and submitted to the Graduate School of the Ohio State University
as a dissertation in partial fulfillment of the requirements for the PhD degree.