Modelación del problema inverso en geoeléctrica 2D mediante elementos finitos
Keywords:
Resistividad, tomografía, elementos finitos, modelación numérica 2D (es)Resistivity, tomography, finite element, 2D numerical modelling (en)
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A numerical model for the solution of the inverse problem in geoelectric 2D is proposed using the method of the finite elements. The solution methodology is based mainly on two procedures: a) to solve numerically the fundamental equation of current flow for established values of resistivity to calculate its electrical answer (apparent resistivities calculated), b) to diminish the difference between apparent resistivities measures and the calculated ones using an investment model. The method is iterative. For the first cycle, a model of blocks or parameters settles down homogenous, that successively will be modified by the investment process, trying that the quadratic minimum error is smaller to 10%. A computer program is elaborated that serves like calculation tool and graphically represents the obtained results to facilitate the interpretative process. Finally two cases of tomografic sections in the National Park in Bogota D.C. are presented.
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