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

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• 作者：ANAND P GOKULA ; RAMBHATLA G SASTRY
• 关键词：Gravity effect ; vertical pyramid model with flat top and bottom ; parabolic density variation ; gravity forward modelling
• 刊名：Journal of Earth System Science
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：124
• 期：8
• 页码：1735-1744
• 全文大小：1,302 KB
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• 作者单位：ANAND P GOKULA (1)
  RAMBHATLA G SASTRY (1)
  
  1. Department of Earth Sciences, Indian Institute of Technology Roorkee, Roorkee, 247 667, India
  
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geosciences
  Extraterrestrial Physics and Space Sciences
  
• 出版者：Springer India
• ISSN：0973-774X

文摘

In 3D gravity modelling, right rectangular vertical prism model with linear and nonlinear density and polyhedral bodies with linear density variation exist in geophysical literature. Here, we propose a vertical pyramid model with depth-wise parabolic density contrast variation. Initially, we validate our analytic expression against the gravity effect of a right rectangular parallelepiped of constant density contrast. We provide two synthetic examples and a case study for illustrating the effectiveness of our pyramid model in gravity modelling. The included case study of Los Angeles basin, California demonstrates the comparative advantages of our pyramid model over a conventional right rectangular vertical prism model. Our pyramid model could be quite effective as a building block for evaluating the gravity effect of an arbitrarily-shaped 3D or 2.5-D source(s). Keywords Gravity effect vertical pyramid model with flat top and bottom parabolic density variation gravity forward modelling