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On Generalized Resistivity Model for Laminated and Dispersed Shaly Sands

Based on the parallel conductance assumption between laminated shaly pattern and the dispersed shaly sand pattern, and the assumption under which the dispersed shaly sand is conductively equivalent to the clean sand with dispersed clay and water is taken as a conductively equivalent fluid, and dispersed clay conductivity( C cl ) increases as water conductivity( C w)increases in low water conductivity, a generalized resistivity model is established. It is pointed out that shale distribution largely affects water saturation predicted by this model. The curvatures of the curves between total formation conductivity ( C t) and effective water saturation ( S w) are about the same when only C cl varies. As S w increases, the effect of cementation exponent ( m ) on the relation between C t and S w increases while the effect of saturation exponent ( n ) on that decreases. Rock sample data in dispersed shaly sands and logging data of laminated shaly sands show that this model may be applied not only in dispersed shaly sands but also in laminated shaly sands. The proposed resistivity model can be taken as a generalized resistivity model. Log data of well SU-1 and SU-3 in the very shaly formation in Hailaer basin are interpreted with the model proposed in the paper, then the calculated water saturation with test results is compared. The result shows that the water saturation calculated with the model is right, so the model proposed in the paper can be applied to very shaly sand.