The moments of the impulse response of a transient electromagnetic decay

What is it about?

This paper introduces the idea of calculating multiple moments of the impulse response, extending the zeroth-order inductive limit and the first-order resistive limit to higher orders. For simple examples, we demonstrate that the analytic form of the moments is simpler than the time or frequency domain expressions. On field data, we show that low-order moments are good for highlighting shallow or weakly conductive features and higher-order moments highlight deeper or more strongly conductive features.

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Why is it important?

This approach provides a rapid method for modeling and inverting electromagnetic data. For example, the time constant can be obtained simply from the ratio of moments.