Application of the Fourier Series Expansion Method for the Inversion of Gravity Gradients using Gravity Anomalies

Accurate and highly precise gravity gradient data are an important component of, for example, field modeling, seabed topography inversion, resource exploration. However, high-precision difficult to obtain. To address this difficulty, work introduces the Fourier series expansion method modeling of fields. Based on anomalies, analytic expressions tensors have been deduced, which provides a new mathematical obtaining data. The expression’s derivation verification processes as follows. First, these inverting based anomaly derived according Laplace equation, boundary value conditions spherical approximation, method. Then, global 1’ × provided by UCSD used verify accuracy formulas. Finally, results analyzed. experimental show that obtained inversion formula can sufficiently details changes. formulas in paper good computational efficiency regional gradients provide acquisition.