A time-domain recursive method of SH-wave propagation through the filled fracture with linear viscoelastic deformation behavior

ABSTRACT

The study of SH-wave across fractures can help uncover and improve the understanding of seismic wave propagation across geological media with fractures. Considering the viscoelastic behavior of a filled medium, a time-domain recursive method of SH-wave propagation through filled viscoelastic fractures was established. A displacement and stress discontinuous model and a differential constitutive relationship of the viscoelastic model were adopted to describe viscoelastic deformation behavior and mass of filled medium in fractures. Three viscoelastic models were utilized to analyze the effects of different viscoelastic models on wave propagation. The effects of frequency, incident angle, specific stiffness, and specific viscosity on the transmission and reflection coefficients and energy dissipation rate were discussed. Also, the influence of fracture slip behavior and the effects of filling mass on wave propagation were also addressed and the results indicated that the method established here was effective for investigating the propagation of SH-wave across viscoelastic filled fractures. Viscosity coupling might have caused a phase delay when the wave stress reached the shear strength and the filling mass had a subtle influence on SH-wave propagation through filled fractures with a thinner interlayer.

KEYWORDS:

• SH-wave
• wave propagation
• filled fracture
• viscoelastic model
• recursive method

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This study was funded by Fundamental Research Funds for the Central Universities, CHD [grant number 300102288708], National Natural Science Foundation of China [grant number 41877285] and Key Research and Development Program of Shaanxi Province [grant number 2017ZDXM-SF-095].