Abstract
The Apparent Density Mapping Approach in Spherical Coordinates and the Crustal Density Distribution of Chinese Mainland
Highlights
The gravity method is a popular tool for geologic mapping and tectonic studies for decades [1]–[6]
Apparent density mapping [2]–[6] is a technique to estimate the spatial distribution of the density of the subsurface layer from the observed gravity data
We have presented a modified algorithm (2-GLQ) to forward the gravity anomaly generated by an arbitrary Tesseroid in spherical coordinates
Summary
The gravity method is a popular tool for geologic mapping and tectonic studies for decades [1]–[6]. We present an apparent density mapping approach for the surface gravity data of the earth in spherical coordinates, and the top and bottom of subsurface layer can be constant or variable. A forward algorithm is available to calculate the gravity anomalies of observed points generated by a subsurface density layer, which can be divided into a series of Tesseriods. Step: As for the 8 new smaller Tesseroid units, repeat step and step until all Tesseroid units are available for (15) or sizes of the Tesseroid reach the given threshold It is the recursive function of our algorithm, and the gravitational acceleration of the computation point by a Tesseroid is the accumulation of all the subdivided Tesseroid units. J=1 i=1 where, gPmn is the gravity anomaly of the computation point Pmn, g ρ(i,j) is the forward gravity anomaly of the Tesseroid numbered (i, j) in longitude and latitude directions
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