Let g be the gravity measured at a station of latitude φ and height h above sea level.
- A gravity anomaly is the difference between the measured gravity, corrected to a common level, and the normal gravity at the same latitude.
- The free-air correction is +0.3086mGalm−1×h: it adds back the decrease of gravity with height. The free-air anomaly is ΔgFA=g+0.3086h−γ(φ).
- The Bouguer correction is −2πGρh: it removes the attraction of the rock between the station and sea level, treated as a slab of density ρ, conventionally 2670kgm−3, which gives 0.112mGal per metre. The Bouguer anomaly is ΔgB=ΔgFA−2πGρh.
উদাহরণ
Example 11.12 (A station in the hills)
At a station at latitude 45∘ and 1200m above sea level, the gravimeter gives 9.802597ms−2. Normal gravity there is 9.806200ms−2; the measured value is lower by 360.3mGal. The free-air correction is 0.3086×1200=370.3mGal, so ΔgFA=−360.3+370.3=+10.0mGal. The Bouguer correction is 0.112×1200=134.4mGal, so ΔgB=−124.4mGal: there is less mass below this station than below a station at sea level, once the rock above sea level is removed.