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Essay On 3d Density

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The most important goal in gravity interpretation is producing a 3D and clear image of anomaly resources. One versatile theory for achieving this picture is 3D density contrast distribution from gravity data. However, we face to uniqueness for solving these inversion problems. For resolving this issue, an interpreter has to decrees the geometry resolution of an anomaly.

For example, using the Tikhonov regularization (Tikhonov and Arsenian, 1977) has led to the unique and stable solution, but regardless of producing blur image of an anomaly, this method is focused on mass varying on the boundary of interpretation region and does not consider the actual depth of anomaly.

Also, a compact inversion method was presented by Last and …show more content…

By this way, Ardestani and Nejati (2011) achieve better image for the 3-D density contrast distribution.

In this paper, to clarify the anomaly, we improve the precision of inversion result, in minimum inertia; in Ardestani and Nejati (2011) algorithm by

In order to avoid nonuniqueness in inversion, they add some constraints such as geometrical properties and prior density contrast which are provided by geological information of the studied region. But, in some areas with complicated geology, it is difficult to trust this information and sometimes may lead to losing the inversion.

To overcomes these possible problems, we use a linear multiple regression on different models of improved circular cylinder (Su et al., 2012) to provide prior information in Ardestani and Nejati (2011) algorithm. Our inversion algorithm is less dependent on geological information and more flexible with prior information.

In the following, we define the outline of this paper. In section 2, we explain about the method for constructing the gravity anomaly by using a grid of 3-D rectangular prisms. In section 3, the Lewi inversion algorithm is discussed, also it is extended with the minimum momentum inertia. In section 4, we introduced the linear inversion based on the inclined cylinder for providing our prior information. In section 5, the synthetic examples are used to illustrate the results of our inversion procedure. In section 6, this method is applied to the mining deposits

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