Abstract
Reflection of a seismic wave from a plane interface between two elastic media does not depend on the frequency. If one of the media is poroelastic and fluid-saturated, then the reflection becomes frequency-dependent. This paper presents a low-frequency asymptotic formula for the reflection of seismic plane p-wave from a fluid-saturated porous medium. The obtained asymptotic scaling of the frequency-dependent component of the reflection coefficient shows that it is asymptotically proportional to the square root of the product of the reservoir fluid mobility and the frequency of the signal. The dependence of this scaling on the dynamic Darcy's law relaxation time is investigated as well. Derivation of the main equations of the theory of poroelasticity from the dynamic filtration theory reveals that this relaxation time is proportional to Biot's tortuosity parameter.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 283-305 |
| Number of pages | 23 |
| Journal | Transport in Porous Media |
| Volume | 62 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2006 |
| Externally published | Yes |
Bibliographical note
Funding Information:This work has been performed at Lawrence Berkeley National Laboratory of the U.S. Department of Energy under Contract No. DE-AC03-76SF00098, the University of California at Berkeley, and at the University of Houston. The authors are thankful to Dr Steven Pride of the Lawrence Berkeley National Laboratory (LBNL) for fruitful discussions and to Prof. G. I. Barenblatt of the University of California at Berkeley and LBNL for critical remarks. Both helped to significantly improve the presentation.
Keywords
- Darcy's law
- Low-frequency signal
- Seismic reflection
ASJC Scopus subject areas
- Catalysis
- General Chemical Engineering