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Bouguer Slab & Free-Air Gravity Anomaly Calculator

Gravity anomalies reveal subsurface geological structures, mineral deposits, magma chambers, and crustal thickness variations.

Calculated Result
668.52 mGal

Bouguer Gravity Anomaly

Free-Air Correction

+138.87 mGal

Bouguer Slab Correction

-50.37 mGal

Theoretical Ellipsoid (g_th)

980620.0 mGal

Calculation Breakdown

  1. FA = +0.3086 · h+138.87 mGal
  2. BS = 0.04192 · (ρ/1000) · h-50.37 mGal
  3. Δg_B = g_obs - g_th + FA - BS668.52 mGal

What Is the Bouguer Slab & Free-Air Gravity Anomaly Calculator?

Gravity anomalies reveal subsurface geological structures, mineral deposits, magma chambers, and crustal thickness variations.

This calculator applies the Somigliana theoretical gravity ellipsoid formula, free-air height correction, and Bouguer slab reduction to raw gravimeter readings.

How Does the Bouguer Slab & Free-Air Gravity Anomaly Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Bouguer Slab & Free-Air Gravity Anomaly Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Δg_FA = g_obs - g_0 + 0.3086·h, Δg_B = Δg_FA - 0.04193·10⁻³·ρ·h

Applies standard Somigliana reference ellipsoid, +0.3086 mGal/m free-air elevation reduction, and 2πGρh rock slab mass correction.

How to Use the Bouguer Slab & Free-Air Gravity Anomaly Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Mountain survey at 450m elevation, latitude 45°N, observed g = 981,200 mGal

Input Values:

observedGravityMgal:981200
stationElevationM:450
latitudeDeg:45
crustalDensityKgM3:2670
Worked Steps: Accounts for elevation and crustal rock density of 2.67 g/cm³ to extract subsurface Bouguer anomaly.

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Geophysics
  • Geodesy
  • Earth Sciences

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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