Gravity gradient tensor of a vertical pyramid model of flat top & bottom with depth-wise parabolic density variation

2018 ◽  
Author(s):  
Anand P. Gokula ◽  
Rambhatla G. Sastry
Keyword(s):  
Density Variation ◽  
Gravity Gradient ◽  
Gradient Tensor ◽  
Gravity Gradient Tensor ◽  
Pyramid Model

Gravity gradient tensor of a vertical pyramid model of flat top and bottom with depth-wise parabolic density variation

Geophysics ◽  
2019 ◽  
Vol 84 (6) ◽  
pp. G93-G112
Author(s):  
Anand Prakash Gokula ◽  
Rambhatla G. Sastry
Keyword(s):  
Numerical Stability ◽  
Density Variation ◽  
Gravity Gradient ◽  
Practical Implementation ◽  
Problem Solution ◽  
Contrast Variation ◽  
Gradient Tensor ◽  
Gravity Gradient Tensor ◽  
Pyramid Model

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.

Speed and accuracy improvements in standard algorithm for prismatic gravitational field

2020 ◽  
Vol 222 (3) ◽  
pp. 1898-1908
Author(s):  
Toshio Fukushima
Keyword(s):  
Gravitational Field ◽  
Exact Formula ◽  
New Method ◽  
Gravity Gradient ◽  
Gradient Tensor ◽  
Gravity Gradient Tensor ◽  
Triple Difference ◽  
Transcendental Functions ◽  
Arctangent Function ◽  
Speed And Accuracy

SUMMARY By utilizing the addition theorems of the arctangent function and the logarithm, we developed a new expression of Bessel’s exact formula to compute the prismatic gravitational field using the triple difference of certain analytic functions. The use of the new expression is fast since the number of transcendental functions required is significantly reduced. The numerical experiments show that, in computing the gravitational potential, the gravity vector, and the gravity gradient tensor of a uniform rectangular parallelepiped, the new method runs 2.3, 2.3 and 3.7 times faster than Bessel’s method, respectively. Also, the new method achieves a slight increase in the computing precision. Therefore, the new method can be used in place of Bessel’s method in any situation. The same approach is applicable to the geomagnetic field computation.

Noise filtering of full-gravity gradient tensor data

2013 ◽  
Vol 10 (3) ◽  
pp. 241-250 ◽  
Author(s):  
Yuan Yuan ◽  
Da-Nian Huang ◽  
Qing-Lu Yu ◽  
Mei-Xia Geng
Keyword(s):  
Gravity Gradient ◽  
Noise Filtering ◽  
Gradient Tensor ◽  
Gravity Gradient Tensor ◽  
Tensor Data
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