Determinación de la profundidad de la discontinuidad de Mohorovičić en Colombia con el software MATLAB mediante el uso de datos de inversión gravimétrica satelital

Abstract

In the present work, the 3DINVER algorithm developed in the MATLAB software by David Gómez Ortiz & Bhrigu N.P. Agarwal to carry out an inversion process of the Total Bouguer Anomaly, calculated from altimetric and gravimetric data (Free Air Anomaly) corrected with the EGM2008 gravitational model, from the TOPEX / POSEIDON satellite mission with observations every 1 arc minute and acquired from the server of the University of San Diego in California; in order to determine the depth of the Mohorovičić Discontinuity, commonly abbreviated as Moho, in the Colombian continental crust between latitudes 13 ° N to 5 ° S and longitudes 66 ° W to 80 ° W. This algorithm calculated a density interface that allowed to find the depth values of the Moho, by means of an iterative process of the Parker-Oldenburg equation, cleaning the information by passing the gravity signal to the frequency domain, applying a high cut filter to the data and returning it to the domain of space through the inverse Fourier transform. Likewise, two information processing methods were carried out to corroborate the results obtained, in method I a gravimetric inversion of a single data quadrant was carried out, while in method II the information was divided into 12 quadrants of the data. Same size. In this way, it was established that the mean depth of the Mohorovičić Discontinuity in the Colombian continental crust has a value of 31,996 km with method I, which has an 81.2% certainty of the information and a mean square RMS error of 0.3631 km. While with method II, whose certainty is 84.5%, it was established that said depth has a value of 32,174 km, as well as a standard deviation of 4,993 km and a total mean RMS of 0.013 km.