Reciprocity and power balance for piecewise continuous media with imperfect interfaces

Journal of Geophysical Research: Solid Earth

Volumn 109, Issue 10, 2004, Pages

  Wapenaar, Kees ^a   Slob, Evert ^a   Fokkema, Jacob ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Boundary permeability; Linear slip; Reciprocity

Indexed keywords

ELASTIC WAVE; ELASTODYNAMICS; SLIP; WAVE MODELING;

EID: 11844269843     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2004JB003002     Document Type: Article

References (20)

1. Allard, J. F., B. Brouard, and D. Lafarge (1993), Reciprocity and antireciprocity in sound transmission through layered materials including elastic and porous media, Wave Motion, 17, 329-335.
2. Belinskiy, B. P. (2001), On some general mathematical properties of the system: Elastic plate-acoustic medium, in Acoustic Interactions With Submerged Elastic Structures, part II, Propagation, Ocean Acoustics, and Scattering, Ser. Stability Vibration Control Syst. B, vol. 5, edited by A. Guran et al., pp. 193-218, World Sci., River Edge, N. J.
3. Biot, M. A. (1956), Theory of propagation of elastic waves in a fluid-saturated porous solid: I. Low frequency range, J. Acoust. Soc. Am., 28, 168-178.
4. Bojarski, N. N. (1983), Generalized reaction principles and reciprocity theorems for the wave equations, and the relationship between the time-advanced and time-retarded fields, J. Acoust. Soc. Am., 74, 281-285.
5. de Hoop, A. T. (1995), Handbook of Radiation and Scattering of Waves Academic, San Diego, Calif.
6. de Hoop, A. T., and H. J. Stam (1988), Time-domain reciprocity theorems for elastodynamic wave fields in solids with relaxation and their application to inverse problems, Wave Motion, 10, 479-489.
7. Deresiewicz, H., and R. Skalak (1963), On uniqueness in dynamic poroelasticity, Bull. Seismol. Soc. Am., 53, 783-788.
8. Fisher, M., and K. J. Langenberg (1984), Limitations and defects of certain inverse scattering theories, IEEE Trans. Antennas Propag., 32 1080-1088.
9. Fokkema, J. T., and P. M. van den Berg (1993), Seismic Applications of Acoustic Reciprocity, Elsevier Sci., New York.
10. Gangi, A. F. (1970), A derivation of the seismic representation theorem using seismic reciprocity, J. Geophys. Res., 75, 2088-2095.
11. Gangi, A. F. (2000), Constitutive equations and reciprocity, Geophys. J. Int., 143, 311-318.
12. Gurevich, B., and M. Schoenberg (1999), Interface conditions for Biot's equations of poroelasticity, J. Acoust. Soc. Am., 105, 2585-2589.
13. Kaufman, A. A., and G. V. Keller (1983), Frequency and Transient Soundings, Methods Geochem. Geophys., vol. 16, Elsevier Sci., New York.
14. Nakagawa, S., K. T. Nihei, and L. R. Myer (2000), Shear-induced conversion of seismic waves across single fractures, Int. J. Rock Mech. Min. Sci., 37, 203-218.
15. Pride, S. (1994), Governing equations for the coupled electromagnetics and acoustics of porous media, Phys. Rev. B, 50, 15,678-15,696.
16. Pride, S. R., and M. W. Haartsen (1996), Electroseismic wave properties, J. Acoust. Soc. Am., 100, 1301-1315.
17. Pyrak-Nolte, L. J., L. R. Myer, and N. G. W. Cook (1990), Transmission of seismic waves across single natural fractures, J. Geophys. Res., 95, 8617-8638.
18. Schoenberg, M. (1980), Elastic wave behaviour across linear slip interfaces, J. Acoust. Soc. Am., 68, 1516-1521.
19. Smeulders, D. M. J., R. L. G. M. Eggels, and M. E. H. van Dongen (1992), Dynamic permeability: Reformulation of theory and new experimental and numerical data, J. Fluid Mech., 245, 211-227.
20. Wapenaar C. P. A. and J. T. Fokkema (2004), Reciprocity theorems for diffusion, flow and waves, J. Appl. Mech., 71, 145-150.