Three-dimensional analytical solution for fluid-saturated transversely isotropic poroelastic multilayer formation. (December 2022)

• Record Type: Journal Article
• Authors: Li, Qiuhua; Hou, Pengfei; Shang, Shouming; Zhang, Wenhua; Xu, Daolin
• Is Part Of: Engineering analysis with boundary elements. Volume 145(2022)
• Page Start: 46
• Page End: 58
• Publication Date: 2022-12
• Subjects: Analytical solutions -- Green's function -- Multilayer formation -- Transversely isotropic -- Poroelastic; 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.2022.08.033
• Languages: English
• ISSNs: 0955-7997

Abstract

Highlights: The form of Green's function is first given as a simple explicit function for fluid-saturated multilayered transversely isotropic formation. The anisotropy and stratified characteristic of formation simultaneously are considered in this study. The influences of multiple parameters are evaluated to predict the stability of the soil structure. Abstract: According to the potential theory and mirror image method, the three-dimensional (3D) Green's functions of a fluid-saturated transversely isotropic multilayer formation with different thicknesses were first obtained. The exact 3D explicit closed analytical forms of the pressure increment and stress fields were expressed by simple functions which can be used to accurately calculate the full-field distribution under a fluid source. The numerical results reveal that the method had good convergence, high accuracy, and high stability. Based on this method, the effects of the modulus ratio, stratified characteristic, medium thickness, and medium stacking sequence on the 3D hydraulic coupling response of the medium were examined. Numerical results indicated that these parameters affected the behavior of the formation in different degrees. The main contributions of this study are as follows: (1) the anisotropy and stratified characteristic of the formation material are simultaneously considered; (2) the Green's functions are given as a simple explicit function for fluid-saturated multilayer transversely isotropic formation; and (3) the Green's function is a potential function that can be calculated as a boundary element to improve the calculation accuracy. Graphical abstract: Image, graphical abstract