Exact solutions of the vertical gravitational anomaly for a polyhedral prism with vertical polynomial density contrast of arbitrary orders

Release time:2018-12-26

Affiliation of Author(s):School of Geoscience and Infophysics,Central South University

Journal:Geophysical Journal International

Funded by:国家自科基金

Key Words:Geopotential theory; Gravity anomalies and Earth structure; Numerical approximations and analysis;

Abstract:We present general closed-form solutions for the vertical gravitational anomaly caused by a polyhedral prism with mass density contrast varying with depth. Our equations are the first ones to implement a polynomial vertical mass density contrast of arbitrary order. Singularities in the gravity field which arise when the observation site is close to or in the anomalous polyhedral prism are removed in our analytic expressions. Therefore, the observation site can be located outside, on the faces of or inside the anomalous mass bodies. A simple prismatic body of anomalous density is adopted to tes

Co-author:T, JT;Kalscheuer, KJ;Tang, ZY;Pan, CJ ; Ren, Chen

Indexed by:Unit Twenty Basic Research

Discipline:地质资源与地质工程

Document Type:J

Volume:214

Issue:3

Page Number:2115-2132

Number of Words:80000

ISSN No.:0956-540X

Translation or Not:no

Date of Publication:2018-09-01

Links to published journals:https://academic.oup.com/gji/article/214/3/2115/5042280