When collecting total magnetic field data over large distances, it is necessary to remove any field contribution stemming from sources outside the surface of the Earth (external sources), as solely sources inside the surface of the Earth (internal sources) are of interest. Conventional techniques, such as tie-lining or the employment of a base-station network, may carry large uncertainties, adds to the total cost of the survey, and may impose additional constraints on survey layout and size. As an alternative to these conventional methods, it is suggested that measured total-field gradients be used to reconstruct a map of the total field contribution from internal sources.
a. Reconstruct the absolute magnetic field from measured gradients using different numerical integration schemes implemented in python 3.
b. Examples of methods: Finite-differences, Runge-Kutta (to the classic fourth-order, and perhaps also to different orders) and derived algorithms
c. Compare the results with base-station corrected data
d. Quantify the results from different schemes based on the relative error of the result and total computation time/computation time per datapoint.