Selection of the proper anomaly attenuation rate (also known as the structural index) in the<br>Euler’s Homogeneity Equation (EHE) computations for determining source locations of potentialfield<br>anomalies is investigated using calculations of fractal dimension. Theoretical examples are<br>provided to show that the use of the EHE method is valid only when the anomaly attenuation rate<br>can be regarded as being nearly constant (in other words, when the anomaly has nearly constant<br>fractal dimension with respect to its source over the distance range of interest). When this condition<br>is satisfied, the EHE method can yield useful source locations from well-isolated potential-field<br>anomalies. Residual magnetic anomalies from 12 steel drums show that the anomaly attenuation<br>rates vary as a function of source-to-observation distance. With increasing source-to-observation<br>distance, attenuation rates of most of the investigated drums also show a strong tendency to reach a<br>value appropriate for a magnetized dipole (n = 3). This precludes the use of an identical attenuation<br>rate for all drums at all depths of interest.


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