Quintero Montoya, Olga Lucía2019-09-252019http://hdl.handle.net/10784/13873For mining exploration in geologically complex zones, there are several techniques, including seismic refraction, which studies the propagation of artificially produced seismic waves, establishing its relationship with the geological configuration of the subsoil. One of these techniques is the Generalized Reciprocal Method (GRM), which has been proposed for the reconstruction of subsurface structures with lateral velocity variations. This method depends on several parameters, mainly on a single parameter called the optimal distance of XY . This optimal value of XY presents uncertainties when this is determined. A good estimate of this parameter determines a good characterization of the subsoil, determining other parameters such as velocity and depth of layers in the media. A good determination of GRM parameters also permits recognition and definition of near-surface irregularities. In this paper, we proposed a robust mathematical form to find the optimal value of XY looking for the functional average curve that looks for the curve that remains for more time in the center of the set of curves. Obtaining the curve of the median corresponding to one of the velocity functions with optimal XY values, we obtain the optimal robust XY value in order to reduce the uncertainties in such a way that a better delineation of the subsurface structures is achieved, with a good approximation, through obtaining the average velocity and depth of layers.spaExploración mineramasterThesisinfo:eu-repo/semantics/openAccessPROSPECCIÓNOPTIMIZACIÓN MATEMÁTICAREFRACCIÓNCURVAS DE FRECUENCIAMining explorationGeneralized Reciprocal Method (GRM)Robust mathematicalOptimal XY valueAcceso abierto2019-09-25Boada Sanabria, Bibiana Esperanza553 B662