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An improved algorithm for the Euler deconvolution of potential field data

University of the Witwatersrand, Johannesburg, South Africa

Corresponding author: grcooper@iafrica.com

The first 20% of the full text of this article appears below.

Euler deconvolution (Thomson 1982, Reid et al. 1990) is a commonly used semiautomatic interpretation method for magnetic and gravity data. It can be used to indicate locations and depths of anomalous bodies, indicating regions of interest that can be followed up by detailed modeling. Recent work has suggested the usefulness of applying Euler deconvolution to the vertical gradient of the potential field data (Ravat et al. 2002, Hsu 2002). Because the vertical gradient anomaly is narrower than that of the field itself, its use provides improved horizontal resolution of the solutions. However the greater the order of the gradient used, the greater the problems with noise become (because the vertical derivative operator is a high-pass filter). This paper suggests a way around this problem for the first vertical derivative and uses synthetic models of magnetic and gravity data to show the benefits of the approach.

	Euler deconvolution

 
Euler's equation can be stated as (Hsu, 2002):

(1)

where (x₀, y₀, z₀) is the source location, (x, y, z) is the measurement location (usually the center of a window of datapoints), N is the structural index (a measure of the rate of decay of the field f with distance from the source, and a parameter of the source geometry), and f and B are the anomaly and the field base level. If equation 1 is applied to the first vertical gradient of the data, then it becomes;

(2)

As can be seen equation . . . [Full Text of this Article]