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In this article, we propose a technique for processing airborne gravimetry measurements at repeat drape lines. To model gravity along a line, we use cubic B-splines. The unknown parameters of the model (the spline coefficients) are to be estimated from the measurements. In order to take into account dependance of gravity on position, the same set of the spline coefficients is assumed for gravity modeling at each repeat line. Gravity estimation is performed with the Kalman filter. The spline coefficients are included in the state vector of the filter as unknown constants. The developed estimation algorithm was tested using measurements of the GT-2A gravimeter collected at repeat drape lines. The gravity estimates obtained with the use of B-splines are more accurate compared with those obtained with the standard technique, in which gravity is modeled as a stochastic process in the time domain.

Improving Gravity Estimation Accuracy for the GT-2A Airborne Gravimeter Using Spline-Based Gravity Models