Finite-element methods for viscoelastic and azimuthally anisotropic media
Yang Hui-Zhu1 , Du Qi-Zhen2
(1)清华大学工程力学系,北京 100084; (2)清华大学工程力学系,北京 100084;石油大学（华东）地球资源与信息学院,东营 257061
Abstract With the importance of the fractured strata in the oil exploration, researchers have paid more attention to the wave propagation in viscoelastic and anisotropic media. Provided the rocks are weakly viscoelastic, the viscoelastic problems can be solved as a series of elastic problems by using the time increment method. At each step we determine the viscoelastic deformations and the corresponding viscoelastic loads, which are added to the load vectors for the next step. On this basis, the finite-element recursive formulae of viscoelastic and azimuthally anisotropic media are established. The numerical simulations show the characteristics of wavefields in the viscoelastic and azimuthally anisotropic media.
Key words ：
viscoelasticity
azimuthal anisotropy
finite-element
time increment method
Received: 2002-12-05
Published: 2003-08-20
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2003, Vol. 52 
