2 edition of **Methods for downward continuation of gravity.** found in the catalog.

Methods for downward continuation of gravity.

Helmut Moritz

- 246 Want to read
- 15 Currently reading

Published
**1966**
by Verlag der Bayerischen Akademie der Wissenschaften; Beck in Kommission in München
.

Written in English

- Gravity.,
- Aeronautics in geodesy.

**Edition Notes**

Series | Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften. [Veröffentlichungen] Reihe A: Theoretische Geodäsie, Heft Nr. 50, Reihe A--Theoretische Geodäsie ;, Heft Nr. 50. |

Classifications | |
---|---|

LC Classifications | QB275 .A343 Nr. 50 |

The Physical Object | |

Pagination | 61 p. |

Number of Pages | 61 |

ID Numbers | |

Open Library | OL5728100M |

LC Control Number | 70487313 |

Downward continuation is one of the vital steps in pre-processing of satellite gravity gradient (SGG) data when recovering the earth gravity field by space-wise by: 1. The course text book is: An Introduction to Geophysical Exploration, by P. Kearey, M. Brooks and I. Hill, 3rd edition Blackwell Science, , ISBN, cost new ~ £ Teaching Week 1 Gravity lecture, practical, use of gravimeter Teaching Week 2 Gravity lecture, practical, use of gravimeter Upward and downward continuation.

Computational methods for the discrete downward continuation of the Earth gravity and effects of lateral topographical mass density variation of gravity and geoid. Ph.D thesis, University of New Brunswick, Fredericton. Downward continuation of potential fields represents a very interesting way to enhance the information content of a gravity or magnetic map. In fact, apart from the increase of resolution, shared with many recent methods involving the use of directional derivatives, the downward continued data have the advantage of maintaining the physical dimensions of the original ones.

The analytical downward continuation agrees with the discrete Poisson's within 10% of the total downward continuation effect. The DC of the refined Bouguer gravity . Computational Methods for the Discrete Downward Continuation of the Earth Gravity and Effects of Lateral Topographical Mass Density Variation on Gravity and the Geoid. Ph.D. dissertation, Department of Geodesy and Geomatics Engineering, Technical Report No. , University of New Brunswick, Fredericton, New Brunswick, Canada, pp.

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Not Available adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86ACited by: 6. Different methods are used for the downward continuation (DWC) of ground gravity anomalies to the geoid such as inverse Poisson's integral equation, analytical DWC or least-squares collocation.

A new method to stabilize downward continuation of gravity signals is studied in this paper. The principle of multiscale edge detection by wavelets is introduced firstly, and then the multiscale. Abstract. The continuous downward continuation of the gravity field has been classified as an inverse, ill-posed problem.

The practical evaluation of the harmonic Poisson downward continuation integral requires, however, the reformulation of the problem into discrete summations or convolution by: 2.

Different downward continuation schemes are evaluated, with comparisons to satellite altimetry showing accuracies close to 4 mGal in terms of standard deviation of the differences between the. Different downward continuation schemes are evaluated, with comparisons to satellite altimetry showing accuracies close to 4 mGal in terms of standard deviation of the differences between the downward continued gravity anomalies and the altimetry derived gravity by: 1.

Downward continuation can enhance small‐scale sources and improve resolution. Nevertheless, the common methods have disadvantages in obtaining optimal results because of divergence and instability. We derive the mean‐value theorem for potential fields, which could be the theoretical basis of some data processing and interpretation.

Numerical investigation of downward continuation methods for airborne gravity data. Besides the task of pre-processing which results in band-limited gravity disturbances at flight level, the choice of a proper downward continuation method gains in importance.

Besides the problem of regularization most calculations are based on block mean values, which has disadvantages in the approximation by: 1. downward continuation that is achieved by solving the Poisson integral equation. In mathematics, this equation is called the Fredholm integral equation of the first kind.

In contrast to upward continuation, downward continuation tends to ’de-smooth’ or accentuate details of the gravity anomalies. Numerical. In this paper four downward continuation methods for airborne gravity data‐the direct representation method, Tikhonov regularization, point‐mass method and the spherical interior Dirichlet's harmonic.

By using the method of domain decomposition, a local function can be used for upward and downward continuation of gravity data. This approach decomposes the total area into small domains, and uses local functions to model the disturbing potential within each of these domains. Close mobile search navigation.

Article navigation. Vol Number 1Cited by: 7. A new class of filter transfer function derived from Wiener filter and Green`s equivalent layer principles is presented for upward and downward-continuation enhancement of potential-field : Dhananjay Ravat. Downward continuation is a very useful technique in the interpretation of potential field data.

It would enhance the short wavelength of the gravity anomalies or accentuate the details of the. Many downward continuation methods are developed on the basis of Poisson integral equation, and in order to sum up the discretization values, the Poisson integral must be discretized in the downward continuation of local grid airborne gravimetry : Xiaogang Liu, Zhongmiao Sun, Kang Xu, Mingda Ouyang.

UPWARD / DOWNWARD CONTINUATION OF GRAVITY GRADIENTS FOR PRECISE GEOID DETERMINATION Gyula Tóth(1), Lóránt Földváry (2), 1), Ilias N. Tziavos(3), and József Ádám (1) (1) Physical Geodesy and Geodynamics Research Group of the Hungarian Academy of Sciences, Budapest University of Technology and Economics,H Budapest, Hungary - email:.

Discover the best Physics of Gravity in Best Sellers. Find the top most popular items in Amazon Books Best Sellers. Different from the conventional downward continuation methods, the proposed BTTB–RRCG method is an iterative method in space domain, which is seldom investigated due to the computation workload.

However, taking advantage of the BTTB structure makes the CG type methods as effective as wavenumber domain by: 6. The numerical solution of the one-way wave equation is the cornerstone of all downward-continuation migration methods. Over the years, geophysicists have proposed a variety of solutions based on approximations of the SSR operator introduced in Chapter 4.The essential content of most downward continuation methods is to solve the inverse Poisson integral equation, from which a lot of mathematical models have been derived (for example, the direct FFT method, the iterative Tikhonov regularization method, the iterative Landweber regularization method, and so on).Introduction: The downward continuation (DC) can be considered as a ‘projection’ in which the gravity anomalies observed at a surface above the geoid are ‘mapped’ onto the geoid.

There are primarily two DC methods: the Poisson DC and the Moritz analytical DC. The Poisson DC solves the Poisson integral equation which can be split into the near-zone and the.