A semianalytical solution for one-dimensional transient wave propagation in a saturated single-layer porous medium with a fluid surface layer |
| |
Authors: | Zhendong Shan Daosheng Ling Zhinan Xie Liping Jing Yongqiang Li |
| |
Institution: | 1. Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration, Harbin, 150080 China;2. MOE Key Lab of Soft Soils and Geo-environmental Engineering, Zhejiang University, Hangzhou, 310058 China |
| |
Abstract: | One-dimensional transient wave propagation in a saturated single-layer porous medium with a fluid surface layer is studied in this paper. An analytical solution for a special case with a dynamic permeability coefficient kf → ∞ and a semianalytical solution for a general case with an arbitrary dynamic permeability coefficient are presented. The eigenfunction expansion and precise time step integration methods are employed. The solution is presented in series form, and thus, the long-term dynamic responses of saturated porous media with small permeability coefficients can be easily computed. We first transform the nonhomogeneous boundary conditions into homogeneous boundary conditions, and then we obtain the eigenvalues and orthogonal eigenfunctions of the fluid–solid system. Finally, the solutions in the time domain are developed. As the model is one dimensional, geometric attenuation is absent, and only the attenuation in the saturated porous medium is considered. We can apply this model to analyse the influences of different seabed types on the propagation of acoustic waves in the fluid layer, which is very important in ocean acoustics and ocean seismic. This solution can also be employed to validate the accuracies of various numerical methods. |
| |
Keywords: | analytical solution fluid–solid interface marine seismic saturated soil seabed |
|
|