Elastic properties of a reservoir sandstone: a broadband inter-laboratory benchmarking exercise

Abstract

Low-frequency forced-oscillation methods applied to a reservoir sandstone allowed determination of the Young’s modulus and Poisson’s ratio (from axial loading), bulk modulus (by oscillation of the confining pressure) and shear modulus (from torsionalforced oscillations) for comparison with conventional ultrasonic data. All tests were performed on a common sandstone core sample from an oil reservoir offshore West Africa. The results show a steady increase in ultrasonic velocities and shear modulus of the dry specimen as functions of pressure, which suggests a progressive closure of the inter-granular contacts. An increase of bulk and Young’s moduli and Poisson’s ratio is observed on decane saturation of the sample when tested with a sufficiently small dead volume. This observation, consistent with Gassmann’s theory, suggests that such measurements probe undrained (saturated isobaric) conditions. Diminution or absence of such fluid-related stiffening for low-frequency measurements with dead volumes comparable with the pore volume of the specimen indicates partially drained conditions and highlights the critical role of experimental boundary conditions. Directly measured bulk and shear moduli are consistent with those derived from Young’s modulus and Poisson’s ratio. These results of the inter-laboratory testing using different measurement devices are consistent in terms of the effect of frequency and fluid saturation for the reservoir sandstone specimen. Such broad consistency illustrates the validity of forced-oscillation techniques and constitutes an important benchmarking of laboratory testing of the elastic properties of a porous medium.