Gravity Anomaly Modeling Simulator

simulator intermediate ~10 min
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Δg = 6.7 mGal — Buried sphere: R=3 km at 5 km depth, Δρ=+300 kg/m³. Half-width: 3.8 km.

A spherical body of radius 3 km at 5 km depth with density contrast +300 kg/m3 produces a maximum gravity anomaly of approximately 6.7 mGal with half-width of 3.8 km.

Formula

Δg = (4/3)π G Δρ R³ z / (x² + z²)^(3/2) (buried sphere)
x_{1/2} = z · 0.766 (half-width for sphere)
Δg_Bouguer = Δg_FA − 2π G ρ h (Bouguer slab correction)

Gravitational Attraction of Buried Bodies

Every subsurface mass anomaly perturbs Earth's gravitational field. The gravity anomaly measured at the surface depends on the density contrast between the body and surrounding rock, the body's size and shape, and its depth. For a buried sphere, the vertical component of gravitational attraction follows an inverse-square law with depth, making it a fundamental model in gravity exploration.

Gravity Data Processing

Raw gravity measurements require several corrections before geological interpretation. The free-air correction accounts for elevation above the reference ellipsoid. The Bouguer correction removes the effect of rock mass between the station and sea level. Terrain corrections handle irregular topography. The resulting Bouguer anomaly map reveals subsurface density variations.

Anomaly Interpretation

The shape of a gravity anomaly profile constrains the depth, size, and density contrast of the causative body. The half-width (distance from peak to half-maximum) is proportional to depth for standard geometric models. However, interpretation is inherently non-unique: many different mass distributions can produce the same surface anomaly, requiring integration with geological and other geophysical data.

Applications in Exploration

Gravity surveys are used extensively in mineral exploration (detecting dense ore bodies), petroleum exploration (mapping sedimentary basins and salt structures), engineering geology (locating voids and faults), and regional tectonics (mapping crustal thickness variations). Satellite gravity missions like GRACE and GOCE now provide global gravity fields at scales from continental to 100 km resolution.

FAQ

What is a gravity anomaly?

A gravity anomaly is the difference between observed gravitational acceleration and a theoretical reference value at a given location. After corrections for elevation (free-air), intervening rock mass (Bouguer), terrain, and latitude, the residual anomaly reflects subsurface density variations that reveal geological structures.

What is the Bouguer correction?

The Bouguer correction removes the gravitational effect of rock between the observation point and sea level, approximating it as an infinite slab of assumed density (typically 2670 kg/m3). The complete Bouguer anomaly also includes terrain corrections for nearby topographic irregularities.

How deep can gravity surveys detect structures?

Gravity surveys can detect structures at any depth, but resolution decreases rapidly. The signal from a point mass decreases as 1/r^2, and anomaly width increases linearly with depth, smearing out detail. Practically, gravity surveys resolve structures to about 10-20 km depth with modern instruments capable of 0.01 mGal precision.

What geological structures cause gravity anomalies?

Positive anomalies arise from dense mafic intrusions, ore deposits, or uplifted basement. Negative anomalies indicate sedimentary basins, salt domes, granitic plutons, or voids. The amplitude depends on density contrast, body size, and depth.

Sources

Embed

<iframe src="https://homo-deus.com/lab/geophysics/gravity-anomaly/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub