Two-dimensional FM-IBEM solution to the broadband scattering of elastic waves in a fluid-saturated poroelastic half-space. (July 2019)

• Record Type: Journal Article
• Authors: Liu, Zhongxian; He, Chenrui; Wang, Hailiang; Shuaijie, Sun
• Is Part Of: Engineering analysis with boundary elements. Volume 104(2019)
• Page Start: 300
• Page End: 319
• Publication Date: 2019-07
• Subjects: The fast multi-pole indirect boundary element method -- High-frequency and large-scale -- Fluid-saturated poroelastic medium -- Elastic wave scattering -- Graf addition theorem; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2019.03.027
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: The fast multi-pole indirect boundary element method (FM-IBEM) is proposed to efficiently solve the high-frequency and large-scale two-dimensional (2-D) elastic wave scattering in a fluid-saturated poroelastic heterogeneous medium. The diffracted wave fields are constructed by applying virtual distributed loads and fluid sources on the boundaries according to the single-layer potential theory, and the multi-pole moment and local expansion coefficients of 2-D Green's function are deduced based on Graf addition theorem. Numerical results illustrated that the proposed method can essentially reduce the calculation CPU time and the memory requirement. The 2-D scattering of elastic waves by a canyon and a group of cracks in a fluid-saturated poroelastic half-space is further investigated. It shows that the scattering characteristics are closely related to the incident frequency, porosity of the medium and special topography. There is a significant ground motion amplification effect around the canyon, while a group of cracks produce an isolation effect on the half-space surface motion.