Consolidation analysis of transversely isotropic layered saturated soils in the Cartesian coordinate system by extended precise integration method

•An extended PIM for 3D transversely isotropic saturated layered soils is presented.•The solution is obtained by a numerical inversion of Laplace–Fourier transform.•The influence of transverse isotropy on the consolidation behavior is analyzed. A general solution for three-dimensional consolidation...

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Bibliographic Details
Published inApplied mathematical modelling Vol. 40; no. 4; pp. 2692 - 2704
Main Authors Cheng, Yi Chong, Ai, Zhi Yong
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.02.2016
Subjects
Cartesian coordinate system
Consolidation
Differential equations
Extended precise integration method
Feasibility
Integral transform
Layered soils
Mathematical analysis
Mathematical models
Saturated soils
Soil consolidation
Three dimensional
Transverse isotropy
Transverse isotropy
Soil consolidation
Integral transform
Extended precise integration method
Layered soils
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Summary:•An extended PIM for 3D transversely isotropic saturated layered soils is presented.•The solution is obtained by a numerical inversion of Laplace–Fourier transform.•The influence of transverse isotropy on the consolidation behavior is analyzed. A general solution for three-dimensional consolidation of transversely isotropic layered saturated soils is presented as an extension to the extended precise integration solution for consolidation in the cylindrical coordinate system. Starting with the governing equations of Biot's consolidation of transversely isotropic saturated soils in the Cartesian coordinate system, an ordinary differential matrix equation is deduced with the aid of Laplace–Fourier transforms. Based on the precise integration method for two-point boundary value problems, an extended precise integration solution of multilayered systems subjected to internal loads or dislocations is presented and then used to solve the above ordinary differential matrix equation, the actual solution in the physical domain is obtained by taking a numerical inversion. The feasibility of the proposed method is proved by three examples, and the influence of transverse isotropy of the soil skeleton on the consolidation behavior is analyzed.
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ISSN:0307-904X
DOI:10.1016/j.apm.2015.09.085