3D Gravity Analysis in the Spatial Domain: Model Simulation by Multiple Polygonal Cross-Sections Coupled with Exponential Density Contrast

Mallesh, K; Chakravarthi, V.; Ramamma, B.

doi:10.1007/s00024-019-02103-9

Cited by 11 publications

(2 citation statements)

References 46 publications

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“…The exponential density distribution, Eq. 19, appears in modeling of gravity anomalies [32][33][34], for example. Expression (20) holds also for complex values of k. Hence, the potential of a polyhedral body with density distribution…”

Section: Numerical Tests and Applications To Exponential Sinusoidal And Polynomial Density Distributionsmentioning

confidence: 99%

Generating Function Method for Calculating the Potentials of Inhomogeneous Polyhedra

Nenashev

2022

Front. Phys.

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We propose a method of constructing analytical, closed-form expressions for electrostatic/Newtonian potentials of non-uniform polyhedral bodies, in which the density distributions are polynomials of coordinates. Possible applications of the proposed method are spread from astronomy to nanotechnology. The method is based on the use of the generating function for the potential. Explicit expressions for the potential are derived in the case of quadratic or cubic coordinate dependence of the density within a polyhedral body.

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Section: Numerical Tests and Applications To Exponential Sinusoidal And Polynomial Density Distributionsmentioning

confidence: 99%

Generating Function Method for Calculating the Potentials of Inhomogeneous Polyhedra

Nenashev

2022

Front. Phys.

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“…Some authors (e.g. [17][18][19][20][21][22][23]) derived gravity anomaly expressions of 3D structures in the space domain. Several other authors have presented the different methods for calculating gravity effect of 3D structures in the frequency domain and converted the anomalies into space domain by the inverse Fourier transformation for further analysis [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

A Comparative Study on Two Different Methods for Calculating Gravity Effect of an Uneven Layer: Application to Computation of Bouguer Gravity Anomaly in the East Vietnam Sea and Adjacent Areas

Thanh¹

2020

MaP

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Calculation of gravity anomaly caused by an uneven layer is essential for quantitative interpretation. By comparing calculated anomalies with observed anomalies, we may infer some parameters of subsurface structures. There are many different methods for computing gravity effect of an uneven layer. This paper presents a comparative study of two different forward methods such as the space domain method and the frequency domain method. The performance of each method was evaluated on two synthetic models. Finally, the more effective method was applied to calculate Bouguer gravity anomaly in the East Vietnam Sea and adjacent areas using the latest available dataset from the TOPEX mission.

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Gravity Inversion of Blocky Basement Relief Using L0 Norm Constraint with Exponential Density Contrast Variation

Feng

Liu

Guo³

et al. 2020

Pure Appl. Geophys.

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3D Gravity Analysis in the Spatial Domain: Model Simulation by Multiple Polygonal Cross-Sections Coupled with Exponential Density Contrast

Cited by 11 publications

References 46 publications

Generating Function Method for Calculating the Potentials of Inhomogeneous Polyhedra

Generating Function Method for Calculating the Potentials of Inhomogeneous Polyhedra

A Comparative Study on Two Different Methods for Calculating Gravity Effect of an Uneven Layer: Application to Computation of Bouguer Gravity Anomaly in the East Vietnam Sea and Adjacent Areas

Gravity Inversion of Blocky Basement Relief Using L0 Norm Constraint with Exponential Density Contrast Variation

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