Hacia la inversión tridimensional de anomalías de resistividad y polarización inducida

Abstract

An approximate method is developed for inverting resistivity and induced polarization data. Inversion is effected ·in terms of cylindrical structures of arbitrary cross-section and length, using data taken along a pro file perpendicular to strike. The method does not require an initial model and reasonable good results are obtainable in one or two iterations. The approximation assumes low resistivity contrast, and both resistivity and chargeability functions may vary over the plane perpendicular to strike. Numerically the problem is posed in terms of a system of linear equations whose unknowns represent discrete values of the resistivity and chargeability functions. The solution is obtained using the well-known method of generalized matrix inversion. Results of numerical experiments and applications to field data are included.