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Constitutive Theory for Velocity Dispersion in Rock with Dual Porosity.

DE200515013447

Publication Date	2002
Personal Author	Wang, H. F.; Berryman, J. G.
Page Count	12
Abstract	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.
Keywords	Rocks Dual porosity Velocity dispersion Modeling Shear modulus Stiffening Bulk modulus Consitutive theory Double-porosity constitutive model Fluid-saturated rocks
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Lawrence Livermore National Lab., CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200524

Constitutive Theory for Velocity Dispersion in Rock with Dual Porosity.

Constitutive Theory for Velocity Dispersion in Rock with Dual Porosity.
DE200515013447

Publication Date	2002
Personal Author	Wang, H. F.; Berryman, J. G.
Page Count	12
Abstract	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.
Keywords	Rocks Dual porosity Velocity dispersion Modeling Shear modulus Stiffening Bulk modulus Consitutive theory Double-porosity constitutive model Fluid-saturated rocks
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Lawrence Livermore National Lab., CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200524