Full Wave Synthetic Acoustic Logs In Saturated Porous Media Part I: A Review Of Biot's Theory
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 f...
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| Other Authors: | |
| Format: | Technical Report |
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Massachusetts Institute of Technology. Earth Resources Laboratory
2019
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| Online Access: | https://mit.atmire.com/handle/1721.1/121138 |
| _version_ | 1811073242460323840 |
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| author | Schmitt, D. P. |
| author2 | Massachusetts Institute of Technology. Earth Resources Laboratory |
| author_facet | Massachusetts Institute of Technology. Earth Resources Laboratory Schmitt, D. P. |
| author_sort | Schmitt, D. P. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T09:30:29Z |
| format | Technical Report |
| id | mit-1721.1/121138 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T09:30:29Z |
| publishDate | 2019 |
| publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
| record_format | dspace |
| spelling | mit-1721.1/1211382019-04-12T20:46:39Z Full Wave Synthetic Acoustic Logs In Saturated Porous Media Part I: A Review Of Biot's Theory Schmitt, D. P. Massachusetts Institute of Technology. Earth Resources Laboratory Schmitt, D. P. 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. Societe Nationale Elf Aquitaine (Production) Centre de Calcul Vectoriel pour la Recherche 2019-04-04T10:07:42Z 2019-04-04T10:07:42Z 1986 Technical Report https://mit.atmire.com/handle/1721.1/121138 Earth Resources Laboratory Industry Consortia Annual Report;1986-05 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory |
| spellingShingle | Schmitt, D. P. Full Wave Synthetic Acoustic Logs In Saturated Porous Media Part I: A Review Of Biot's Theory |
| title | Full Wave Synthetic Acoustic Logs In Saturated Porous Media Part I: A Review Of Biot's Theory |
| title_full | Full Wave Synthetic Acoustic Logs In Saturated Porous Media Part I: A Review Of Biot's Theory |
| title_fullStr | Full Wave Synthetic Acoustic Logs In Saturated Porous Media Part I: A Review Of Biot's Theory |
| title_full_unstemmed | Full Wave Synthetic Acoustic Logs In Saturated Porous Media Part I: A Review Of Biot's Theory |
| title_short | Full Wave Synthetic Acoustic Logs In Saturated Porous Media Part I: A Review Of Biot's Theory |
| title_sort | full wave synthetic acoustic logs in saturated porous media part i a review of biot s theory |
| url | https://mit.atmire.com/handle/1721.1/121138 |
| work_keys_str_mv | AT schmittdp fullwavesyntheticacousticlogsinsaturatedporousmediapartiareviewofbiotstheory |