Fluid substitution, dispersion and attenuation in fractured and porous reservoirs insights from new rock physics models
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In this paper we show how elastic properties of a fractured rock with equant porosity can be modeled on the consistent basis of the Biot-Gassmann theory of poroelasticity. For simplicity and clarity, we limit the analysis to a single system of aligned and rotationally symmetric fractures in an otherwise isotropic porous rock. We first discuss the low frequency limit where the analysis is quite general and independent of both size and shape of fractures and pores. We then proceed to the more challenging problem of modeling frequency dependent effects, notably attenuation, velocity dispersion and frequency-dependent anisotropy. In contrast to the quasi-static case, these effects depend critically on the geometry of the fracture system. We present the results for two simplified geometrical configurations, which may be regarded as its representative end members. In the first configuration fractures are modeled as thin highly porous layers of infinite extent in a low- or medium-porosity background. In the second configuration the fractures are modeled as sparsely distributed thin penny-shaped cracks of a given (finite) diameter which is much larger than the pore size.
Published by the Society of Exploration Geophysicists.
2007 Society of Exploration Geophysicists.
Gurevich, Boris and Galvin, Robert J. and Mller, Tobias M. and Brajanovski, Miroslav and Lambert, Gracjan (2007) Fluid substitution, dispersion and attenuation in fractured and porous reservoirs insights from new rock physics models, The Leading Edge 26(9):1162-1168.
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