A wavelet finite element method for the 2-D wave equation in fluid-saturated porous media

Acta Geophysica Sinica

Volumn 48, Issue 5, 2005, Pages 1156-1166

  Zhang, Xin Ming ^a   Liu, Ke An ^a   Liu, Jia Qi ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Daubechies wavelet; Fluid saturated porous media; Rapid wavelet transform; Scaling function; Wavelet finite element method

Indexed keywords

SATURATED MEDIUM; WAVE ENERGY;

EID: 31344472636     PISSN: 00015733     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. Biot M A. Theory of propagation of elastic waves in a fluid-saturated porous solid: Low-frequency range. J. Acoust. Soc. Amer., 1956, 28:168-178
2. Biot M A. Theory of propagation of elastic waves in a fluid-saturated porous solid: Higher-frequency range. J. Acoust. Soc. Amer., 1956, 28:179-191
3. Plona T J. Observation of a second Bulk compressional wave in porous media at ultrasonic frequences. Appl. Phys., 1980, 36:259-261
4. Amos Nur. Wave Propagation in the Two-phase Media. Translated by Xu Y. Beijing: Petroleum Industry Press, 1986
5. de Boer R, Ehlers R, Liu Z. One-dimensional transient wave propagation in fluid-saturated incompressible porous media. Arch. Appl. Mech., 1993, 63:59-72
6. Dominguez J. An integral formulation for dynamic poroelasticity. J. Appl. Mech. ASME, 1991,58(3): 588-590
7. Yazdchi M, Khalili N, Vallippan S. Non-linear seismic behavior of concrete gravity dams using coupled finite element-boundary element method. International Journal for Numerical Methods in Engineering, 1999, 44:101-130
8. Khalili N, Yazdchi M, Valliappan S. Wave propagation analysis of two-phase saturated porous media using coupled finite-infinite element method. Soil Dynamics and Earthquake Engineering, 1999, 18: 533-553
9. Shao X M, Lan Z L. Finite element method for the equation of waves in fluid-saturated porous media. Chinese J. Geophys. (in Chinese), 2000,43(2):264-277
10. Wang X M, Zhang H L, Wang D. Modelling of seismic wave propagation in Hetero geneous poroelastic media using a high-order staggered finite-difference method. Chinese J. Geophys. (in Chinese), 2003, 46(6): 842-849
11. Ma Junxing, Xue Jijun. A study of the construction and application of a Daubechies wavelet-based beam element. Finite Element in Analysis and Design, 2003, 39: 965-975
12. Jaffard S, Laurencop P. Orthonormal wavelets, analysis of operators and applications to numerical analysis. In: Chui C ed. Wavelets: A Tutorial in Theory and Applications. New York: Academic Press, 1992. 543-601
13. Ko J, Kurdila A J. A class of finite element methods based on orthonormal compactly supported wavelets. Computational Mechanics, 1995,16(4):235-244
14. Daubechies I. Orthonormal basis of compactly supported wavelet. Commun. Pure Appl. Math., 1988,41: 909-996
15. Daubechies I. Recent results in wavelet applications. J. Electron. Imaging, 1998, 7:719-724
16. Liao Z P, Wong H L, Yang B P, et al. A transmitting boundary for transient wave analyses. Scientia Sinica (A), 1984, 27(10):1063-1076
17. Liao Z P, Wong H L. A transmitting boundary for the numerical simulation of elastic wave propagation. Soil Dynamics and Earthquake Engineering, 1984,3(4):174-183
18. Zhou Y H, Wang J Z, Zheng X J. Applications of wavelet Galerkin FEM to bending of beam and plate structures. Applied Mathematics and Mechanics (in Chinese), 1998, 19(8):697-706