Open AccessFractal characterization of the South Australian gravity station network
Author(s) -
Korvin G.,
Boyd D. M.,
O'Dowd R.
Publication year - 1990
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1990.tb00705.x
Subject(s) - fractal , spurious relationship , fractal dimension , grid , fractal landscape , fractal analysis , geodesy , gravity anomaly , geology , fractal dimension on networks , geometry , geophysics , mathematics , mathematical analysis , statistics , paleontology , oil field
SUMMARY The spatial distribution of the South Australian gravity station network (over 65 000 stations) can be approximated by a fractal point set of correlation dimension D c = 1.4. The fractality is established over more than 2 decades of distance. The fractal nature of the grid is possibly due to the multistage decisions involved in establishing a network; in each step, previously unexplored areas are dissected by geophysical traverses, as in the classical fractal fragmentation process. It is shown that we cannot observe the short‐wavelength components of the gravity field if the dimension of the network is less than two and any attempt to interpolate onto a regular grid could lead to spurious anomalies due to aliasing.