The SEG dictionary (Sheriff, 1991), spake thus:
1. A deviation from uniformity in physical properties; a perturbation from a normal, uniform, or predictable field.
2. Observed minus theoretical value.
3. A portion of a geophysical survey, such as magnetic or gravitational, which is different in appearance from the survey in general.
4. A gravity measurement which differs from the value predicted by some model, for example, a Bouguer or free-air anomaly (q.v.).
5. In seismic usage, generally synonymous with structure. Occasionally used for unexplained seismic events.
6. Especially, a deviation which is of exploration interest; a feature which may be associated with petroleum accumulation or mineral deposit.
7. An induced polarization anomaly is usually positive and greater than background (or the normal effect) to be economically interesting. In the frequency domain an anomalous region has a resistivity which decreases with frequency. An interesting re s i s t i v i t y anomaly is generally smaller than background.
Well, fine. These specific points are useful, as far as they go. But what do they add up to? Item 2 only seems to mathematize item 4, but 4 is unaccountably restricted only to gravity surveys. And is an anomaly source generally a structure (item 5)? Is a geophysical anomaly the same as the geologic feature which is its source (items 1 and 5), or are these phenomena of different categories? Are only those anomalies deemed of exploration interest worthy of the title (item 6)? Why different anomaly definitions for different survey types?…”
Henry Lyatsky about it: http://www.cseg.ca/publications/recorder/2004/06jun/06jun-meaning-of-anomaly.pdf

