Constitutive Theory for Velocity Dispersion in Rock with Dual Porosity.

Wang, H. F. ; Berryman, J. G.

Technical Information Center Oak Ridge Tennessee

关键词: Rocks;    Dual porosity;    Velocity dispersion;    Modeling;    Shear modulus;   

RP-ID  :  DE200515013447

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

The high frequency behavior of the bulk modulus of fluid-saturated rock can be obtained from a double-porosity constitutive model, which is a direct conceptual extension of Biots (1941) constitutive equations and which provides additional stiffening due to unrelaxed induced pore pressures in the soft porosity phase. Modeling the stiffening of the shear modulus at high frequency requires an effective medium average over the unequal induced pore pressures in cracks of different orientations. The implicit assumptions are that pore fluid equilibration does not occur between cracks of different orientations and between cracks and porous matrix. The correspondence between the constitutive equations of Berryman and Wang (1995) and Mavko and Jizba (1991) is explicitly noted.