2D modeling and inversion of gravity data using density contrast varying with depth and source-basement geometry described by the Fourier series

Geophysics

Volumn 68, Issue 6, 2003, Pages 1909-1916

  García Abdeslem, Juan ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

GRAVITATION; MATHEMATICAL MODELS; NUMERICAL METHODS; POLYNOMIALS; SEDIMENTARY ROCKS; BUILDINGS; DATA REDUCTION; FOURIER SERIES; GEOLOGY; GEOMETRY; INVERSE PROBLEMS; SEDIMENTS; STRUCTURAL GEOLOGY;

GEOLOGIC STRUCTURES; NONLINEAR INVERSION; BOUGUER GRAVITY DATUM; CURVILINEAR SURFACES; EARTH CRUSTS; GEOPHYSICAL TECHNIQUES; INHOMOGENEOUS MEDIA; NON LINEAR INVERSION; SOUTHERN CALIFORNIA;

GEOPHYSICS; GRAVITATION;

DATA INVERSION; DATA PROCESSING; GRAVITY SURVEY; MODELING;

EID: 0346724839     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1635044     Document Type: Article

References (15)

1. Barbosa, V. C. F., Silva, J. B. C., and Medeiros, W. E., 1999, Stable inversion of gravity anomalies of sedimentary basins with nonsmooth basement reliefs and arbitrary density contrast variations: Geophysics, 64, 754-764.
2. Chai, Y., and Hinze, W. J., 1988, Gravity inversion of an interface above which density contrast varies exponentially with depth: Geophysics, 53, 837-845.
3. Cordell, L., 1973, Gravity analysis using an exponential density-depth function, San Jacinto graben, California: Geophysics, 38, 684-690.
4. Davis, P. J., and Polonsky, I., 1972, Numerical interpolation, differentiation and integration, in Abramowitz, M., and Stegun, I. A., Eds., Handbook of mathematical functions with formulas, graphs, and mathematical tables: Dover Publ. Inc., 875-924.
5. Fett, J. D., 1968, Geophysical investigation of the San Jacinto Valley, Riverside County, California: M.S. thesis, Univ. of California at Riverside.
6. García-Abdeslem, J., 1992, Gravitational attraction of a rectangular prism with depth-dependent density: Geophysics, 57, 470-473.
7. García-Abdeslem, J., 2000, 2-D inversion of gravity data using sources laterally bounded by continuous surfaces and depth-dependent density: Geophysics, 65, 1128-1141.
8. Gardner, G. H. F., Gardner, L. W., and Gregory, A. R., 1974, Formation velocity and density-The diagnostic basics for stratigraphic traps: Geophysics, 39, 770-780.
9. Lee, T. C., and Biehler, S., 1991, Inversion modeling of gravity with prismatic mass bodies: Geophysics, 56, 1365-1376.
10. Levenberg, K., 1944, A method for the solution of certain nonlinear problems in least squares: Q. Appl. Math., 2, 164-168.
11. Marquardt, D. W., 1970, Generalized inverses, ridge regression, biased linear estimation and nonlinear estimation: Technometrics, 12, 591-612.
12. Martín-Atienza, B., and García-Abdeslem, J., 1999, 2-D gravity modeling with analytically defined geometry and quadratic polynomial density functions: Geophysics, 64, 1730-1734.
13. Murthy, I. V. R., and Rao, D. B., 1979, Gravity anomalies of two-dimensional bodies of irregular cross-section with density contrast varying with depth: Geophysics, 44, 1525-1530.
14. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1987, Numerical recipes: Cambridge Univ. Press.
15. Rao, D. B., 1990, Analysis of gravity anomalies of sedimentary basins by an asymmetrical trapezoid model with quadratic density function: Geophysics, 55, 226-231.