Abstract
Biot theory research has been extended to the multi-scale heterogeneity in actual rocks. Focused on laboratory frequency bandwidth studies, we discuss the relationships between double-porosity and BISQ wave equations, analytically derive the degeneration method for double-porosity's return to BISQ, and give three necessary conditions which the degeneration must satisfy. By introducing dynamic permeability and tortuosity theory, a full set of dynamic double-porosity wave equations are derived. A narrow band approximation is made to simplify the numerical simulation for dynamic double-porosity wavefields. Finally, the pseudo-spectral method is used for wave simulation within the laboratory frequency band (50 kHz). Numerical results have proved the feasibility for dynamic double-porosity's description of squirt flow and the validity of the quasi-static approximation method.
| Original language | English |
|---|---|
| Pages (from-to) | 261-276 |
| Number of pages | 16 |
| Journal | Applied Geophysics |
| Volume | 5 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2008 |
| Externally published | Yes |
Keywords
- Double-porosity rock
- Mesoscopic scale
- Microscopicscale
- Pseudo-spectral method
- Self-affine fractal