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MODELING THE RADIAL VARIATION OF THE HYDROCARBON COLLECTORS RESISTIVITY, USING THE KRIGING TECHNIQUE
Abstract
The resistivity of reservoir rocks varies in radial direction from Rxo (resistivity of the flushed zone) to Rt (uninvaded zone resistivity). This variation is due to different content in mud filtration, formation water and hydrocarbons from the well wall to the uninvaded zone. The penetration of the mud filter in the collector and the change of the saturation states depend on the properties of the drilling fluid as well as on properties of the collector (porosity, permeability). Electric logs devices measure an apparent resistivity, Ra, which depends on the type of the device, but also of the influence of the mud in the well, of the zones formed by the entry of the mud filter into collector, the uninvaded zone and the adjacent rocks. Knowing the radial variation of resistivity is very important in interpreting the electric log for determining the hydrocarbon content of the collectors. Classical logging methods (DLL, DIL) focused on measuring resistivity at two or three radial distances, while modern methods (Array Induction Tool - AIT, High Resolution Laterolog Array - HRLA) measures the resistivity at five radial distances with the possibility of establishing a radial variation of resistivity. Kriging is a basic statistical estimation technique. The Kriging technique uses a linear estimation procedure to estimate a value at unsampled location. The objective of this technique is to calculate a reservoir property in a location where it have not been made measurements, based on measurements made in neighboring points. In this paper we determined the radial variation of resistivity using the Kriging method by the knowledge of two resistivity values at different radial distances (usually Rxo and Rt). In the first step, the profile was established based on AIT data (5 resistivity values) and so the Kriging method could be checked, using only two values. Similar profiles have been obtained that can be used to interpret the electric log.
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