### Abstract

This article considers a direct 3-D gravitational problem with respect to bodies with exponential density variation with depth. An effective algorithm is obtained for solution of the problem of determining the vertical derivative of the gravity potential in an arbitrary polyhedron. The stability, accuracy and fast-running program realization of the solution are studied using model examples.

Original language | English |
---|---|

Pages (from-to) | 855-867 |

Number of pages | 13 |

Journal | Geophysical Journal |

Volume | 15 |

Issue number | 6 |

Publication status | Published - 1996 |

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### ASJC Scopus subject areas

- Geology

### Cite this

*Geophysical Journal*,

*15*(6), 855-867.

**Solution of a direct gravimetric problem for an arbitrary polyhedron with exponential density variation with depth.** / Pyatakov, Yu V.; Isaev, V. I.

Research output: Contribution to journal › Article

*Geophysical Journal*, vol. 15, no. 6, pp. 855-867.

}

TY - JOUR

T1 - Solution of a direct gravimetric problem for an arbitrary polyhedron with exponential density variation with depth

AU - Pyatakov, Yu V.

AU - Isaev, V. I.

PY - 1996

Y1 - 1996

N2 - This article considers a direct 3-D gravitational problem with respect to bodies with exponential density variation with depth. An effective algorithm is obtained for solution of the problem of determining the vertical derivative of the gravity potential in an arbitrary polyhedron. The stability, accuracy and fast-running program realization of the solution are studied using model examples.

AB - This article considers a direct 3-D gravitational problem with respect to bodies with exponential density variation with depth. An effective algorithm is obtained for solution of the problem of determining the vertical derivative of the gravity potential in an arbitrary polyhedron. The stability, accuracy and fast-running program realization of the solution are studied using model examples.

UR - http://www.scopus.com/inward/record.url?scp=0030429375&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030429375&partnerID=8YFLogxK

M3 - Article

VL - 15

SP - 855

EP - 867

JO - Geophysical Journal (English Translation of Geofizicheskii Zhurnal)

JF - Geophysical Journal (English Translation of Geofizicheskii Zhurnal)

SN - 0275-9128

IS - 6

ER -