Full Wave Synthetic Acoustic Logs In Saturated Porous Media Part I: A Review Of Biot's Theory
Name
1986.5 Schmitt.pdf
Size
1.44 MB
Format
Adobe PDF
Checksum (MD5)
e275ee96159e14a8146b940126f3300a
Author(s)
Schmitt, D. P.
Date Issued
1986
Publisher
Massachusetts Institute of Technology. Earth Resources Laboratory
Series/Report no.
Earth Resources Laboratory Industry Consortia Annual Report;1986-05
Abstract
Hydrocarbon exploration is especially concerned with two phase media. Following Biot,
such finite porosity rocks are modeled as statistically isotropic materials composed of a
solid elastic matrix permeated by a network of interconnected pores saturated with a
compressible viscous liquid.
In a first step, the constitutive equations of a saturated porous medium are reviewed,
using mixtures theory and homogenization theory. This study focuses on the assumptions
which are necessary but not always explicit. Biot's formulation is then modified
by the introduction of a unified definition of the viscous and mass coupling coefficients
which are both frequency dependent. The continuity equations at different kinds of
interfaces are also analyzed.
The body wave velocities and attenuations are then computed, using the cylindrical duct
model for pores. The effects of the saturant fluid, the permeability and the porosity are
studied.
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