BVP, Global Models and Residual Terrain Correction

Regional Gravity Field Modeling: Theory and Practical Results

“…The latter problem is usually remedied by a simple "harmonic correction", which is based on downward continuation through a Bouguer plate, being valid only if the reference topography is sufficiently long-wavelength (Forsberg and Tscherning 1997;Forsberg 2010). The non-harmonicity of the reduced potential below the reference height surface is considered today as a major theoretical problem with the RTM method (Forsberg and Tscherning 1997), and some attention was given to it recently by Elhabiby et al (2009), Omang et al (2011), andForsberg (2010). In principle, the quantities related to a harmonically continued topography potential function T T are needed, which may be obtained by first removing the effect of the entire topography, followed by a harmonic continuation of the observations to the reference elevation surface, plus finally the restoration of the effect of the reference topography.…”

TGF: A New MATLAB-based Software for Terrain-related Gravity Field Calculations

“…Together with this paper, the TGF software will be released in the public domain for free use in geodetic and geophysical forward modelling computations. procedure [2,3], reduction of the gravity observations in boundary-value problem [4,5], for prediction of high-frequency gravity field constituents [6][7][8], and for the reduction of omission errors in height system definitions and unification [9].In the last few decades, considerable attention has been given to the forward modelling approaches, either in the spectral domain through spherical harmonic analysis (SHA) of height-density functions (globally, e.g., [10][11][12]; regionally, e.g., [13]) and spherical harmonic synthesis (SHS) for computation points, or in the spatial domain using analytical or numerical gravitational formulas of geometries. In the spectral domain, the evaluation of gravitational field relies on the spherical harmonic expansions of powers of the topography.…”

“…Together with this paper, the TGF software will be released in the public domain for free use in geodetic and geophysical forward modelling computations. procedure [2,3], reduction of the gravity observations in boundary-value problem [4,5], for prediction of high-frequency gravity field constituents [6][7][8], and for the reduction of omission errors in height system definitions and unification [9].…”