Accession Number:

ADA200739

Title:

Gravity Gradiometer Survey System (GGSS) Post-Mission Data Processing

Descriptive Note:

Final rept. May 1984-May 1987

Corporate Author:

APPLIED SCIENCE ANALYTICS INC CANOGA PARK CA

Personal Author(s):

Report Date:

1987-08-01

Pagination or Media Count:

75.0

Abstract:

Post-mission processing of local airborne gravity gradient measurements simultaneously in a computationally efficient manner is addressed. The gravity signal model is obtained by solving Laplaces equation with the unknown mass distribution below the surface of the earth modelled as one or more two-dimensional 2D white noise layers representing the vertical derivative of the disturbance potential to any order. A non-stationary non-isotropic disturbance potential covariance is obtained by invoking the Karhunen-Loeve condition on the unknown coefficients of the series solution. 2D grids of the six gravity gradients contaminated by additive white noise is the measurement model. For gaussian noise statistics closed form solutions of the continuous domain optimal estimator for each Karhunen-Loeve coefficient is obtained as a linear functional of all the measurement data. Utilization of toeplitz circulant properties of sine and cosine transforms permits discretization of the continuous algorithm as a sequence of matrix multiplications without any necessity of matrix inversions. Form the Karhunen-Loeve coefficient estimates, 2D grid estimates of the gravity vector components at any altitude and at any grid spacing are obtained by performing appropriate left and right sine and cosine transforms. Keywords Gravity gradiometry Post mission processing Mass distribution layers Laplaces equation Non stationary non isotropic covariance.

Subject Categories:

  • Geodesy

Distribution Statement:

APPROVED FOR PUBLIC RELEASE