Fast potential field modeling based on digital filtering
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Abstract
In recent years many papers dealing with potential field modelling have been published. The main disadvantages of some methods using analytical expressions for potential field spectra are considered. A universal modelling algorithm for potential fields of regularly constructed discrete models is presented. It is based on the discrete convolution thorem. To insulate the output from artifacts of undesired periodicity a complete treatment of edge effects is described. In order to speed up the computation, the fast Fourier transform and its symmetries are utilized. We are dealing with a discrete convolution of two well behaved functions; more over, one of them having final support. By computing Green's function accurately, no other errors except for round-off errors can affect the data within the desired output range.
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