The gravity effect of a homogeneous polyhedron for three-dimensional interpretation

1974 ◽  
Vol 112 (3) ◽  
pp. 553-561 ◽  
Author(s):  
M. K. Paul
Keyword(s):  
Three Dimensional ◽  
Gravity Effect

On three-dimensional rotating polymeric fiber jets with gravity effect

2020 ◽  
Vol 52 (6) ◽  
pp. 065509
Author(s):  
D N Riahi
Keyword(s):  
Three Dimensional ◽  
Gravity Effect ◽  
Polymeric Fiber

scholarly journals BASEMENT STRUCTURES IN SANTOS BASIN (BRAZIL) FROM SATELLITE ALTIMETRY AND MARINE GEOPHYSICS

2015 ◽  
Vol 33 (1) ◽  
pp. 29
Author(s):  
Renata Constantino ◽  
Eder Cassola Molina
Keyword(s):  
Satellite Altimetry ◽  
Gravity Data ◽  
Bouguer Anomaly ◽  
Three Dimensional ◽  
Gravity Inversion ◽  
Gravity Effect ◽  
Three Dimensional Model ◽  
Basement Depth ◽  
Basement Structures ◽  
Cabo Frio

ABSTRACT. This paper estimated the basement depth of the Santos Basin region, S˜ao Paulo State, Brazil, combining gravity data obtained from satellite altimetry and marine gravimetry, bathymetric data and sediment thickness from international data banks, and crustal thickness data available in the region. The first step consisted of calculating the gravity effect of sediments in Santos Basin, and the Crustal Mantle Interface (CMI) was modeled from constrained gravity inversion. Subsequently, the reliability of the models obtained was tested by flexural analysis with satisfactory results, as the flexural and gravimetric CMIs showed good agreement. The gravity effect of flexural CMI and the gravity effect of sediments were then calculated and subtracted from the original Bouguer anomaly. The residual field thus obtained, which is assumed to represent the topographical features of the basement, was inverted in the last step of the work, providing information that shows a basement with features of up to 700 m that appear to be in agreement with tectonic features previous discussed, such as the Avedis volcanic chain. The basement depth estimated during this study showed depths ranging from 1,500 to 10,500 m, and the deepest region is consistent with the Cabo Frio Fault. The methodology used in the study showed that from a combined data analysis, it is possible to obtain a three-dimensional model of the basement in ocean areas. This non-seismic approach can be advantageous in terms of efficiency and cost. The knowledge of the basement can offer important insights for the development of genetic and tectonic models of exploratory interest in the region.Keywords: basement, Santos Basin, gravity. RESUMO. Este trabalho visa estimar a profundidade do embasamento na região da Bacia de Santos por meio de uma análise combinada de dados gravimétricos obtidos a partir de altimetria por satélite e gravimetria marinha, com dados batimétricos e modelos de espessura sedimentar provenientes de bancos de dados internacionais e dados de espessura crustal disponíveis na região. Na primeira etapa do trabalho foi calculado o efeito do pacote sedimentar no sinal gravimétrico na Bacia de Santos, como também foi modelada a profundidade da Interface Crosta Manto (ICM) a partir de inversão gravimétrica com vínculos. Na etapa seguinte, a confiabilidade dos modelos obtidos foi testada através de an´álise flexural e o resultado foi satisfatório, mostrando que a ICM flexural e a ICM gravimétrica estão em concordância. Prosseguindo para etapa seguinte, o efeito gravimétrico da ICM encontrada por análise flexural e o efeito gravimétrico dos sedimentos foram então calculados e subtraídos da anomalia Bouguer original. O campo residual assim obtido, que se admite representar as feições topográficas do embasamento, foi invertido na última etapa do trabalho, fornecendo informações que mostram um embasamento com feições topográficas de até 700 m, que parecem estar em concordância com feições tectônicas discutidas em trabalhos pretéritos, como por exemplo a cadeia vulcânica Avedis. A profundidade do embasamento estimada durante este trabalho mostrou profundidades que vão desde 1.500 a 10.500 m, sendo que a região mais profunda corresponde à falha de Cabo Frio. Este trabalho demonstrou que, a partir de uma análise combinada de dados, é possível obter um modelo tridimensional do embasamento. O método, por ser não sísmico, pode ser vantajoso em questões de eficiência. O conhecimento deste embasamento é crucial na identificação de feições tectônicas, enquanto as informações sobre sua profundidade e topografia podem oferecer importantes subsídios para a elaboração de modelos genéticos e tectônicos de interesse exploratório na região.Palavras-chave: embasamento, Bacia de Santos, gravimetria.

The Fabrication and Inspection of a Microball Made of Optical Fibre for Micro-Nano Coordinating Measuring Machine

2012 ◽  
Vol 472-475 ◽  
pp. 2397-2400 ◽  
Author(s):  
Jian Zhao ◽  
Qiang Xian Huang ◽  
Shuai Huang
Keyword(s):  
Optical Fibre ◽  
Precise Measurement ◽  
Three Dimensional ◽  
Central Line ◽  
Gravity Effect ◽  
Offset Distance ◽  
Key Factor ◽  
Measuring Machine

The manufacture of micro-nano three-dimensional (3D) probe is a key factor for Micro-nano Coordinating Measuring Machine (Micro-nano CMM) to achieve the precise measurement. This paper proposes a method to fabricate a microball from an optical fibre using a fibre fusion splicer, which is used for Micro-nano CMM to measure miniature workpieces. Utilizing fused optical fibre tapering and choosing proper melting parameters, a microball with diameter of about 100μm and with roundness of less than 2μm could be fabricated. The offset distance between the microball centre and fibre stylus central line due to the gravity effect could be less than 1μm. This approach not only greatly reduces the time for the preparation of the probe, but also extends micro-nano CMM’s capability of measuring miniature workpieces.

Gravity effect calculation of three-dimensional linear density distribution and its application

1999 ◽  
Vol 12 (3) ◽  
pp. 327-334
Author(s):  
Hai Lou ◽  
Chun-Yong Wang
Keyword(s):  
Density Distribution ◽  
Linear Density ◽  
Three Dimensional ◽  
Gravity Effect

Gravitational attraction of a rectangular prism with depth‐dependent density

Geophysics ◽  
1992 ◽  
Vol 57 (3) ◽  
pp. 470-473 ◽  
Author(s):  
J. García‐Abdeslem
Keyword(s):  
Cross Sections ◽  
Integral Method ◽  
Three Dimensional ◽  
Density Contrast ◽  
Gravitational Attraction ◽  
Two Dimensional ◽  
Gravity Effect ◽  
Line Integral ◽  
Closed Expression ◽  
Dependent Density

The gravity effect produced by two and three‐dimensional bodies with nonuniform density contrast has been treated by several authors. One of the first attempts in this direction made by Cordell (1973), who developed a method to compute the gravity effect due to a two‐dimensional prism whose density decreases exponentially with depth. A different approach was proposed by Murthy and Rao (1979). They extended the line‐integral method to obtain the gravity effect for bodies of arbitrary cross‐sections, with density contrast varying linearly with depth. Chai and Hinze (1988) have derived a wavenumber‐domain approach to compute the gravity effect due to a vertical prism whose density contrast varies exponentially with depth. Recently, Rao (1990) has developed a closed expression of the gravity field produced by an asymmetrical trapezoidal body whose density varies with depth following a quadratic polynomial.

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

Review for "An isomorphic three‐dimensional cortical model of the pig rostrum"

2020 ◽  
Author(s):  
Joshua Craig Brumberg
Keyword(s):  
Three Dimensional ◽  
Cortical Model
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