Inversion Algorithms for Geophysical Problems

reportActive / Technical Report | Accession Number: ADA189252 | Open PDF

Abstract:

We discuss procedures for the iterative solution of an integral equation of the Fredholm type of generic kernel and provide details for two particular geophysical problems. We study the inversion of gravity data in order to retrieve the profile of the underlying topography by searching for solutions giving rise to the most compact configuration. We invert radar measurements to obtain ocean spectra this is achieved according to a perturbation procedure by minimizing a functional of errors which also expresses the deviation of the solution from an expected spectral density. Keywords Fredholm integral equation Ocean bathymetry Radar measurements Calculus of variations Minimization of functionals.

Author(s):
Lanzano, Paolo
Author Organization(s):
NAVAL RESEARCH LAB WASHINGTON DC
Descriptive Note:
Final rept. Aug 1986-Jul 1987
Pagination:
0015

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
NRL-MR-6138
Task Number(s):
RR0320841
Project Number(s):
RR03208
Monitor Series:
NRL
 Subject Terms
Joint Capability Areas:
JCA_6.3.3_Spectrum Management; JCA_6.3_Net Management; JCA_6_Net Centric; JCA_5_Command and Control
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
*ALGORITHMS, *MARINE GEOPHYSICS, BATHYMETRY, CALCULUS OF VARIATIONS, ERRORS, GRAVITY, INTEGRAL EQUATIONS, INVERSION, ITERATIONS, KERNEL FUNCTIONS, MEASUREMENT, OCEANS, PERTURBATIONS, PROBLEM SOLVING, RADAR, SEARCHING, SOLUTIONS(GENERAL), SPECTRA, SPECTRAL ENERGY DISTRIBUTION, TOPOGRAPHY
Field(s)/Group(s):
Physical and Dynamic Oceanography, Numerical Mathematics
Keyword(s):
FREDHOLM INTEGRAL EQUATIONS, INVERSION ALGORITHMS, PE61153N, WU1137
Report Date:
1987 Dec 16