This thesis applies an algorithm that allows modeling induction sondes (2C40-6FF40-ILD) responses in multi layered configuration. The algorithm is based on the exact solution of the Green's problem to obtain the electromagnetic field in layered configuration with the source located in the layers. The code, developed for horizontal layers, can be used to develop advanced codes, because there are not codes available for research. The codes available are commercial, but these are very expensive and primarily useful for production processing. The code was applied to obtain ILD sonde response in laminated reservoirs, where the sonde resolution is reduced. Using this code, the conductivity from the sonde response, can be expressed by the sum of the conductivities of the lithologic constituints of the reservoirs, weighed by their volume contribution. This relation was defined for reservoir type not yet analyzed. The models are for reservoirs of silicified sandstone/sandstone/shale where the resistivity of the layer of interest is superior to the resistivity of one layer and inferior to the resistivity of another layer, and for reservoirs of silidfied sandstone/sandstone where the layer of interest has the lower resistivity. These models allow the establishment of better estimates of resistivity (Rt) in layered reservoirs, and consequently, to the hydrocarbon saturation and producibility.
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