Gravitational attraction of a vertical pyramid model of flat top-and-bottom with depth-wise parabolic density variation

As an alternative to the popular rectangular parallelepiped model, we have developed a novel 3D analytical forward-problem solution for the gravity gradient tensor of a vertical pyramid model with parabolic density contrast variation. Its flexibility and effectiveness are demonstrated with the help of synthetic simulations and a case study involving Chintalapudi subbasin, India. We have addressed the singularities and numerical stability in numerical implementation of our algorithm for modeling and practical implementation.

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The problem of the earth's density variation*

Bulletin of the Seismological Society of America ◽

10.1785/bssa0300030235 ◽

1940 ◽

Vol 30 (3) ◽

pp. 235-250 ◽

Cited By ~ 1

Author(s):

K. E. Bullen

Keyword(s):

Density Distribution ◽

Finite Strain ◽

Density Variation ◽

Central Core ◽

Lower Portion ◽

Gravitational Attraction ◽

Earth’S Mantle ◽

The Mean

Summary The present paper examines the problem of the earth's density variation and includes a quantitative discussion of the errors likely to be involved. Figures are given for the density distribution of the earth's outer mantle, and it is shown that all these are probably accurate within about 0.05 gm/cm.3 On the figures presented, the density in the earth's mantle ranges from 3.32 gm/cm.3 at the base of the crustal layers to 5.68 gm/cm.3 at the base of the mantle. The mean density of the central core is shown to be 10.7 gm/cm.3 within an error of order 0.1 gm/cm.3 Application of equations derived by Birch from Murnaghan's theory of finite strain indicates agreement with the density figures found, but it is to be noted that the rigidity of the lower portion of the earth's mantle appears to increase more slowly with increase of depth than would be consistent with the equations of Birch. Values which are expected to need very little future amendment are also given for the pressure and gravitational attraction within the earth's mantle.

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FULL GRAVITY GRADIENT TENSOR OF A VERTICAL PYRAMID MODEL OF FLAT TOP & BOTTOM WITH DEPTH-WISE LINEAR DENSITY VARIATION II

10.4133/sageep.29-053 ◽

2016 ◽

Author(s):

Rambhatla G. Sastry ◽

Anand Gokula

Keyword(s):

Linear Density ◽

Density Variation ◽

Gravity Gradient ◽

Gradient Tensor ◽

Gravity Gradient Tensor ◽

Pyramid Model

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Intramitochondrial Viruses of Reptilian Cell Origin

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100094851 ◽

1972 ◽

Vol 30 ◽

pp. 318-319

Author(s):

Philip D. Lunger ◽

H. Fred Clark

Keyword(s):

Particle Production ◽

Outer Zone ◽

Density Variation ◽

Core Region ◽

Mitochondrial Membranes ◽

Virus Particles ◽

The Core ◽

Vipera Russelli ◽

Maturation Stages ◽

Type Particle

In the course of fine structure studies of spontaneous “C-type” particle production in a viper (Vipera russelli) spleen cell line, designated VSW, virus particles were frequently observed within mitochondria. The latter were usually enlarged or swollen, compared to virus-free mitochondria, and displayed a considerable degree of cristae disorganization.Intramitochondrial viruses measure 90 to 100 mμ in diameter, and consist of a nucleoid or core region of varying density and measuring approximately 45 mμ in diameter. Nucleoid density variation is presumed to reflect varying degrees of condensation, and hence maturation stages. The core region is surrounded by a less-dense outer zone presumably representing viral capsid.Particles are usually situated in peripheral regions of the mitochondrion. In most instances they appear to be lodged between loosely apposed inner and outer mitochondrial membranes.

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