3D inversion of full gravity gradient tensor data in spherical coordinate system using local north-oriented frame

2017 ◽  
Author(s):  
Yi Zhang* ◽  
Yunlong Wu ◽  
Hui Li ◽  
Xinlin Zhang ◽  
Guiju Wu ◽  
...  
Keyword(s):  
Coordinate System ◽  
Spherical Coordinate System ◽  
Gravity Gradient ◽  
3D Inversion ◽  
Gradient Tensor ◽  
Spherical Coordinate ◽  
Gravity Gradient Tensor ◽  
Tensor Data

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

scholarly journals Window constrained inversion of gravity gradient tensor data using dike and contact models

Geophysics ◽  
2011 ◽  
Vol 76 (6) ◽  
pp. I59-I72 ◽  
Author(s):  
Majid Beiki ◽  
Laust B. Pedersen
Keyword(s):  
Source Parameters ◽  
Gravity Gradient ◽  
Model Parameters ◽  
Crustal Material ◽  
Gradient Tensor ◽  
Data Set ◽  
Central Dome ◽  
Gravity Gradient Tensor ◽  
Contact Models ◽  
Tensor Data

We have developed a constrained inversion technique for interpretation of gravity gradient tensor data. For dike and contact models striking in the [Formula: see text]-direction, the measured [Formula: see text] and [Formula: see text] components can be jointly inverted for estimating the model parameters horizontal position, depth to the top, thickness, dip angle, and density contrast. For a given measurement point, the strike direction of the gravity gradient tensor caused by a quasi 2D structure can be estimated from the eigenvector corresponding to the smallest eigenvalue. Then, the measured components can be transformed into the strike coordinate system. It is assumed that the maximum of [Formula: see text] is approximately located above the causative body. In the case of gridded data, all measurement points enclosed by a square window centered at the maximum of [Formula: see text] are used to estimate the source parameters. The number of data points used for estimating source parameters is increased by increasing the size of the window. Solutions with the smallest data-fit error were selected as the most reliable solutions from any set of solutions. The gravity gradient tensor data are deconvolved using both dike and contact models within a set of square windows. Then, the model with the smallest data-fit error is chosen as the best model. We studied the effect of random noise and interfering sources using synthetic examples. The method is applied to a gravity gradient tensor data set from the Vredefort impact structure in South Africa. In this particular case, the dike model provides solutions with smaller data-fit errors than the contact model. This supports the idea that in the central dome area there is a predominance of vertical structures related to the formation of the transient crater and subsequent central uplift of the lower and middle crustal material.

scholarly journals Inversion of gravity gradient tensor data: does it provide better resolution?

2016 ◽  
Vol 205 (1) ◽  
pp. 192-202 ◽  
Author(s):  
V. Paoletti ◽  
M. Fedi ◽  
F. Italiano ◽  
G. Florio ◽  
S. Ialongo
Keyword(s):  
Gravity Gradient ◽  
Gradient Tensor ◽  
Gravity Gradient Tensor ◽  
Tensor Data

Gravity gradient tensor due to a cylinder

Geophysics ◽  
2016 ◽  
Vol 81 (4) ◽  
pp. G59-G66 ◽  
Author(s):  
Hyoungrea Rim ◽  
Yaoguo Li
Keyword(s):  
Coordinate System ◽  
Gravity Gradient ◽  
Infinite Cylinder ◽  
Gradient Tensor ◽  
Gravity Gradient Tensor ◽  
Azimuthal Symmetry ◽  
Cylindrical Coordinate ◽  
Cartesian System ◽  
Infinite Line ◽  
Cartesian Coordinate

We have derived closed-form expressions for the gravity gradient tensor above a vertical semi-infinite cylinder. We first derived the solution in the cylindrical coordinate system where, due to the azimuthal symmetry of the cylinder, there are only three nontrivial independent components of the tensor. The expressions in the Cartesian coordinate system can then be obtained through a coordinate transformation. For general use, we have also developed a solution to the gravity gradient tensor due to a semi-infinite cylinder with an arbitrary orientation through rotation between a user-defined coordinate and the cylinder-affixed Cartesian system. We have verified the validity of the solutions numerically through comparison with the results from approximating the cylinder with a set of small prisms and by comparison with the analytical solution for a semi-infinite line source.

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