Abstract
Summary An integrated rock physics modeling framework is discussed in this paper that aims at predicting the effective elastic moduli and density of a producing reservoir in response to pressure, porosity and fluid saturation changes, and is suitable for application to compacting chalk reservoirs. A simple extended form of Nur’s modified Voigt model is used to build the dry rock elastic modulus and porosity relationship. Granular medium contact theory is used to model pressure change and Gassmann’s equation is used to model the fluid effect. A dynamic compaction model from reservoir simulation is used to model porosity change due to compaction. The rock physics model is calibrated at well locations from the Ekofisk field in the North Sea, however the absence of time-lapse logging makes the 4D calibration challenging. Effective fluid properties are calculated dynamically with the FLAG software program using inputs from the reservoir simulator and PVT measurements. For low water saturation ( 30%) rocks the modeled results show very good correlation with measured data. The model under-predicts the sonic velocities for rocks with low porosity and high water saturation.
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