Bouguer density determination by fractal analysis

Abstract

Density values for the Bouguer reduction of two gravity data sets from Iceland are determined using a new method based on minimization of the roughness of the Bouguer anomaly surface. The fractal dimension of the surface is used as a gauge of the roughness. The analysis shows the size of topographic features supported by crust without isostatic compensation to be 25 to 30 km in southwest Iceland and 9 to 10 km inside the active rifting zone. The densities selected for these areas are 2490 and [Formula: see text], respectively.

Investigating the Density Ratios of Geological Structure through Fractal Geometry Case Stady: (Dehno Region in Farss of Iran)

“…Accordingly, free air anomaly of the region shows fractal properties as long as it is supported by earth's rigid shell. With the increasing size of topographic anomalies, they are supported by the isostatic compensation property of the region; at large distances, free air anomaly appears on the variogram with a slope of zero (Thorrarinsson and Magnusson, 1990). influenced by isostasy due to tectonic stress.…”

“…So, it means that that their components are similar to integrated ones. Thorrarinsson and Magnusson (1990) proposed a new method to obtain density for Bouguer edition (Thorrarinsson and Magnusson, 1990).…”

Optimum density determination for bouguer correction using statistical methods: a case study from north of Iran

“…The gravity anomaly resulting from the fractal nature of nonrandom sources distribution of density cannot be accurately measured unless its fractal dimension does not exceed the difference of the 2-D Euclidean and fractal dimension of the network (Thorarinsson and Magnusson 1990, Lovejoy et al 1986, Korvin 1992). The scale-dependence of the Aρ term manifests itself as a purely linear effect.…”

“…Sissons (1981) configured a least-squares method for the direct inversion of surface and subsurface gravity measurements to estimate in situ rock densities. Thorarinsson and Magnusson (1990) and Chapin (1996) presented fractal analysis methods for Bouguer density determination. However, these methods associated with subsurface gravity measurements are valid only for quite limited area where the rock unit is reasonably homogeneous in composition.…”

Characterization of crustal structures by fractal analysis of gravity anomalies.

“…Turcotte (1987)3 estimated the fractal dimensions of the undulations of the geoid and topography of the earth, moon, and other inner planets. Thorarinsson and Magnusson (1990)4 applied the fractal analysis to the determination of the crustal thickness and the average density of the topographic mass above the geoid. Maus and Dimri (1996)5 discussed the power spectra of the gravity anomaly for half-space models of scaling, or fractal, sources.…”