Gravity Anomaly of Polyhedral Bodies Having a Polynomial Density Contrast

被引:0
作者
M. G. D’Urso
S. Trotta
机构
[1] DICeM - Università di Cassino e del Lazio Meridionale,
[2] Comune di S. Giorgio La Molara,undefined
来源
Surveys in Geophysics | 2017年 / 38卷
关键词
Gravity anomaly; Polyhedral bodies; Polynomial density contrast; Singularity;
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摘要
We analytically evaluate the gravity anomaly associated with a polyhedral body having an arbitrary geometrical shape and a polynomial density contrast in both the horizontal and vertical directions. The gravity anomaly is evaluated at an arbitrary point that does not necessarily coincide with the origin of the reference frame in which the density function is assigned. Density contrast is assumed to be a third-order polynomial as a maximum but the general approach exploited in the paper can be easily extended to higher-order polynomial functions. Invoking recent results of potential theory, the solution derived in the paper is shown to be singularity-free and is expressed as a sum of algebraic quantities that only depend upon the 3D coordinates of the polyhedron vertices and upon the polynomial density function. The accuracy, robustness and effectiveness of the proposed approach are illustrated by numerical comparisons with examples derived from the existing literature.
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页码:781 / 832
页数:51
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共 212 条
[1]  
Abtahi SM(2016)Consistency investigation, vertical gravity estimation and inversion of airborne gravity gradient tensor data - A case study from northern Sweden Geophysics 81 B65-B76
[2]  
Pedersen LB(2014)Evaluation of gravity and aeromagnetic anomalies for the deep structure and possibility of hydrocarbon potential of the region surrounding Lake Van. Eastern Anatolia, Turkey Surv Geophys 35 431-448
[3]  
Kamm J(2004)The Rudzki inversion gravimetric reduction scheme in geoid determination J Geod 78 272-282
[4]  
Kalscheuer T(1977)Gravitational attraction of a rectangular parallelepiped Geophysics 42 1053-1055
[5]  
Aydemir A(1976)Theoretical modeling of the magnetic and gravitational fields of an arbitrarily shaped three-dimensional body Geophysics 41 1353-1364
[6]  
Ates A(2010)Eigenvector analysis of gravity gradient tensor to locate geologic bodies Geophysics 75 I37-I49
[7]  
Bilim F(1960)The use of rapid digital computing methods for direct gravity interpretation of sedimentary basins Geophys J R Astron Soc 3 63-67
[8]  
Buyuksarac A(1980)Calculation of gravity and magnetic anomalies of finite length right polygonal prisms Geophysics 45 1507-1512
[9]  
Bektas O(2005)Fast finite-element calculation of gravity anomaly in complex geological regions Geophys J Int 162 696-708
[10]  
Bajracharya S(1988)Gravity inversion of an interface above which the density contrast varies exponentially with depth Geophysics 53 837-845