Ground penetrating radar inversion in 1-D: An approach for the estimation of electrical conductivity, dielectric permittivity and magnetic permeability

Journal of Applied Geophysics

Volumn 43, Issue 2-4, 2000, Pages 199-213

  Lazaro Mancilla O ^a   Gomez Trevino E ^a  

^a CENTRO DE INVESTIGACIÓN CIENTÍFICA Y DE EDUCACIÓN SUPERIOR DE ENSENADA   (Mexico)

Author keywords

Frechet derivatives; Ground penetrating radar; Inverse problem; Parameter estimation; Quadratic programming

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ELECTRIC CONDUCTIVITY; GREEN'S FUNCTION; INVERSE PROBLEMS; ITERATIVE METHODS; LINEARIZATION; MAGNETIC PERMEABILITY; MATRIX ALGEBRA; PERMITTIVITY; QUADRATIC PROGRAMMING; WAVE EQUATIONS;

FRECHET DERIVATIVES; GROUND PENETRATING RADAR; LEVENBERG-MARDQUARDT METHOD;

RADAR IMAGING;

DATA PROCESSING; ELECTRICAL CONDUCTIVITY; GROUND PENETRATING RADAR; INVERSE PROBLEM; MAGNETIC PROPERTY; PERMITTIVITY;

EID: 0343293884     PISSN: 09269851     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-9851(99)00059-2     Document Type: Conference Paper

References (10)

1. Esparza F.J., Gómez-Treviño E. Inversion of magnetotelluric soundings using a new integral forms of the induction equation. Geophys. J. Int. 127:1996;452-460.
2. Esparza F.J., Gómez-Treviño E. 1-D inversion of resistivity and induced polarization data for the least number of layers. Geophysics. 62(6):1997;1724-1729.
3. Gill, P.E., Hammarling, S.J., Murray, W., Saunders, M.A., Wright, M.H., 1986. User's guide for LSSOL (Version 1.0): a FORTRAN package for constrained linear least squares and convex quadratic programming, Technical Report Sol 86-1. Department of Operations Research, Standford University, CA, USA, 38 pp.
4. Gómez-Treviño E. Nonlinear integral equations for electromagnetic inverse problems. Geophysics. 52(9):1987;1297-1302.
5. Gómez-Treviño, E., 1999. Reworking Maxwell's equations in search of alternative approaches for inversion. Submitted to Geophysical Journal International.
6. Lázaro-Mancilla O., Gómez-Treviño E. Synthetic radargrams from electrical conductivity and magnetic permeability variations. J. Appl. Geophys. 34:1996;283-290.
7. Levenberg K. A method for the solution of certain nonlinear problems in least squares. Q. Appl. Math. 2:1944;164-168.
8. Mardquardt D.W. An algorithm for least squares estimation of nonlinear parameters. SIAM J. 11:1963;431-441.
9. McGillivray P.R., Oldenburg D.W. Methods for calculating Fréchet derivatives and sensitivities for the nonlinear inverse problem: a comparative study. Geophys. Prospect. 38:1990;499-524.
10. Rzhevsky, V., Novik, G., 1971. The Physics of Rocks. Mir Publishers, Moscow.