A completely explicit finite element method for solving dynamic u-p equations of fluid-saturated porous media. Issue 97 (June 2017)

• Record Type: Journal Article
• Authors: Xu, Chengshun; Song, Jia; Du, Xiuli; Zhong, Zilan
• Is Part Of: Soil dynamics and earthquake engineering. Issue 97(2017)
• Page Start: 364
• Page End: 376
• Publication Date: 2017-06
• Subjects: Fluid-saturated porous media -- u-p formed equations -- Diagonalization method -- Completely explicit finite element method; Soil dynamics -- Periodicals; Earthquake engineering -- Periodicals; Sols -- Dynamique -- Périodiques; Génie parasismique -- Périodiques; 624.176205
• DOI: 10.1016/j.soildyn.2017.03.016
• Languages: English
• ISSNs: 0267-7261

Abstract

Abstract: A completely explicit finite element method is developed to efficiently solve the dynamic u - p equations of fluid-saturated porous media (FSPM). In the spatial domain, a diagonalization method is applied to both the mass and the fluid compressibility matrices by neglecting the interactions between adjacent nodes in the finite element model of FSPM for the first time. In the time domain, an explicit-explicit algorithm consisting of the central and the unilateral difference methods is applied to solve the dynamic u -p equations. The stability and accuracy of the proposed explicit-explicit algorithm are discussed. Moreover, five numerical examples were presented in this paper. The good agreements between the results obtained from the proposed method and the existing explicit-implicit method indicate that the diagonalization method for the fluid compressibility matrix and the proposed completely explicit method are validity in solving the dynamic u - p equations of FSPM. Highlights: A diagonalization method is used into fluid compressibility matrix to realize explicit integration. The high efficiently explicit-explicit algorithm for saturated porous media in u-p form is proposed. Stability and accuracy of the proposed method is discussed.