Frequency domain wave propagation modeling in exploration seismology

Journal of Computational Acoustics

Volumn 9, Issue 3, 2001, Pages 941-955

  Gauzellino, Patricia M ^a   Santos, Juan E ^a,c   Sheen, Dongwoo ^b  

^a UNIVERSIDAD NACIONAL DE LA PLATA   (Argentina)

^b Seoul National University   (South Korea)

^c PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035624404     PISSN: 0218396X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218396X01000917     Document Type: Article

References (18)

1. R. Liu, D. L. Anderson, and H. Kanamori, "Velocity dispersion due to anelasticity: Implication for seismology and mantle composition," Geophys. J. R. Astr. Soc. 47, 41 (1976).
2. B. J. Brennan and D. E. Smylie, "Linear viscoelasticity and dispersion in seismic wave propagation," Rev. Geophys. Space Phys. 19, 233 (1981).
3. J. M. Carcione, D. Kosloff, and R. Kosloff, "Viscoacustic wave propagation simulation in the Earth," Geophysics 53, 769 (1988).
4. 2 AN) 33, 747 (1999).
5. P. L. Lions, "On the Schwarz alternating method - I," in Domain Decomposition Methods for Partial Differential Equations, eds. R. Glowinski, G. Golub, G. Meurant, and J. Périaux (SIAM, Philadelphia, 1988), pp. 1-42.
6. P. L. Lions, "On the Schwarz alternating method - III," in Domain Decomposition Methods for Partial Differential Equations, eds. R. Glowinski, Y. Kuznetsov, G. Meurant, J. Périaux, and O. Widlund (SIAM, Philadelphia, 1990).
7. B. Després, "Méthodes de décomposition de domaines pour les problèmes de propagation d'ondes en régime harmonique," Thèse, Université Paris IX Dauphine, UER Mathématique de la Décision, 1991.
8. J. Jr. Douglas, P. J. S. Paes Leme, J. E. Roberts, and J. Wang, "A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods," Numerische Mathematik 65, 95 (1993).
9. J. Jr. Douglas, J. E. Santos, D. Sheen, and L. Bennethum, "Frequency domain treatment of one-dimensional scalar waves," Mathematical Models and Methods in Applied Sciences 3, 171 (1993).
10. J. Jr. Douglas, J. E. Santos, and D. Sheen, "Approximation of scalar waves in the space-frequency domain," Mathematical Models and Methods in Applied Sciences 4, 509 (1994).
11. J. E. Santos and P. M. Gauzellino, "Nonconforming iterative domain decomposition procedures for the simulation of waves in fluid-saturated porous solids," Mecánica Computacional 18, 657 (1997).
12. J. E. Santos and P. M. Gauzellino, "Parallel algorithms for wave propagation in fluid-saturated porous media," Computational Mechanics, New Trends and Applications, Section VII-5, Paper 8 (1998), 1-13.
13. M. A. Biot, "Mechanics of deformation and acoustic propagation in porous media," J. Appl. Phys. 33, 1482 (1962).
14. C. L. Ravazzoli, J. Jr. Douglas, J. E. Santos, and D. Sheen, "On the solution of the equations of motion for nearly elastic solids in the frequency domain," in Anales de la IV Reunión de Trabajo en Procesamiento de la Información y Control, RPIC'91, Argentina, Buenos Aires, 1991, pp. 231-135.
15. D. Sheen, J. Jr. Douglas, and J. E. Santos, "Frequency-domain parallel algorithms for the approximation of acoustic and elastic waves," in Numerical Analysis (Finite Element Methods), Proc. of Applied Mathematics Workshop, KAIST, Taejon, 1993, pp. 243-288.
16. F. Gassmann, "Über die Elastizitat poroser Mediem," Vierteljahrsschr Naturforsch. Ges. 96, 1 (1951).
17. J. E. Santos, J. M. Corberó, and J. Jr. Douglas, "Static and dynamic behaviour of a porous solid saturated by a two-phase fluid," J. Acoust. Soc. Am. 87, 1428 (1990).
18. J. Jr. Douglas, J. E. Santos, and D. Sheen, "Nonconforming Galerkin methods for the Helmholtz equation," to appear.