An analytical expression for the gravity field of a polyhedral body with linearly varying density

Geophysics

Volumn 64, Issue 1, 1999, Pages 75-77

  Hansen, R O ^a  

^a Pearson deRidder and Johnson Inc   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; FUNCTIONS; GEOLOGY; GRAVITATION; MAGNETIC FIELDS; MATHEMATICAL MODELS; PIECEWISE LINEAR TECHNIQUES; SEDIMENTATION; SEISMOLOGY;

PIECEWISE LINEAR FUNCTIONS;

GEOPHYSICS;

DENSITY; GRAVITY FIELD; MODELING;

EID: 0033045194     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1444532     Document Type: Article

References (12)

1. Barnett, C. T., 1976, Theoretical modeling of the magnetic and gravitational fields of an arbitrarily shaped three-dimensional body: Geophysics, 41, 1353-1364.
2. Golizdra, G. Y., 1981, Calculation of the gravitational field of a polyhedron: Izvestiya, Earth Physics, 17, 625-628.
3. Gotze, H.-J., and Lahmeyer, B., 1988, Application of three-dimensional interactive modeling in gravity and magnetics: Geophysics, 53, 1096-1108.
4. Holstein, H., and Ketteridge, B., 1996, Gravimetric analysis of uniform polyhedra: Geophysics, 61, 357-364.
5. Ivan, M., 1990, Comment on "Optimum expression for computation of the gravity field of a homogeneous polyhedral body" by V. Pohanka: Geophys. Prosp., 38, 331-332.
6. _ 1996, Optimum expression for computation of the magnetic field of a homogeneous polyhedral body: Geophys. Prosp., 44, 279-288.
7. Okabe, M., 1979, Analytical expressions for gravity anomalies due to homogeneous polyhedral bodies and translations into magnetic anomalies: Geophysics, 44, 730-741.
8. Paul, M. K., 1974, The gravity effect of a homogeneous polyhedron for three-dimensional interpretation: Pure and Appl. Geophys., 112, 553-561.
9. Pohanka, V., 1988, Optimum expression for computation of the gravity field of a homogeneous polyhedral body: Geophys. Prosp., 36, 733-751.
10. _ 1990, Reply to comment by M. Ivan: Geophys. Prosp., 38, 333-335.
11. Strakhov, V. N., Lapina, M. I., and Yefimov, A. B., 1986a, A solution to forward problems in gravity and magnetism with new analytical expressions for the field elements of standard approximating bodies. I: Izvestiya, Earth Physics, 22, 471-482.
12. _ 1986b, A solution to forward problems in gravity and magnetism with new analytical expressions for the field elements of standard approximating bodies. II: Izvestiya, Earth Physics, 22, 566-575.