Topography effects (pygeoid.reduction.topography)¶
Topographic reduction in gravity and geoid modelling
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pygeoid.reduction.topography.
bouguer_plate
(height: Unit("m"), density: Unit("kg / m3") = <Quantity 2670. kg / m3>) -> Unit("mGal")[source]¶ Return an attraction of an infinite Bouguer plate.
Parameters: - height (Quantity) – Height above sea level.
- density (Quantity) – Density of the prism. Default is 2670 kg/m**3.
Notes
\[F_B = 2\pi G\delta H,\]where \(G\) – gravitational constant, \(\delta\) – density, \(H\) – height above sea level.
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pygeoid.reduction.topography.
spherical_bouguer_cap
(height: Unit("m"), density: Unit("kg / m3") = <Quantity 2670. kg / m3>) -> Unit("mGal")[source]¶ Return spherical Bouguer correction.
Parameters: - height (Quantity) – Height above sea level.
- density (Quantity) – Density of the prism. Default is 2670 kg/m**3.
Notes
The corected (spherical) Bouguer attraction accounts the curvature of the Earth. It is calclated by the closed-form formula for a spherical cap of radius 166.7 km [1]:
\[F_{SB} = 2\pi G ((1 + \mu) H - \lambda R),\]where \(G\) – gravitational constant, \(\delta\) – density, \(H\) – height above sea level, \(\lambda\) and \(\mu\) – dimensionless coefficients, \(R = R_e + H\) – sum of the mean radius of the Earth and the height.
References
[1] LaFehr, T.R., 1991. An exact solution for the gravity curvature (Bullard B) correction. Geophysics, 56(8), pp.1179-1184.