Bulletin of Earthquake Science and Engineering

Bulletin of Earthquake Science and Engineering

A Review on Dynamic Analysis of Linear Saturated Porous Media

Document Type : Review Article

Authors
Farshid Yasemi 1
Abbas Eslami haghighat 2
Mehdi Panji 3
Mohsen Kamalian 4
1 Ph.D. Student, Department of Civil Engineering, Urmia University, Urmia, Iran
2 Assistant Professor, Department of Civil Engineering, Urmia University, Urmia, Iran
3 Associate Professor, Department of Civil Engineering, Zanjan Branch, Islamic Azad university, Zanjan, Iran
4 Professor, Geotechnical Engineering Research Center, International Institute of Earthquake Engineering and Seismology (IIEES), Tehran, Iran
10.48303/bese.2023.1988686.1109
Abstract
In this paper, the most important existing studies were reviewed on the dynamic analysis of the saturated porous media. First, a brief evaluation of theoretical expressions, essential equations, and the most important solutions was illustrated for the mentioned problem. Then, by dividing the literature based on various analysis approaches into two categories of analytical/semi-analytical and numerical methods, the available researches were classified in each category to report according to the publication year. In recent decades, by increasing the power of computers besides the development of numerical approaches, researchers were eager to use them for analyzing wave propagation problems as well as predicting the real response of topographic features more than ever. In this regard, modeling of the porous soil media was generally done for the quasi-static analysis of the consolidation phenomenon. However, due to the complexity of the dynamic formulation of porous media, it is very difficult to solve this kind of problem analytically with traditional approaches. Therefore, most of the studies to analyze the elastic porous media based on modern dynamic formulations were done with the help of numerical approaches, in which it became possible to perform the dynamic analysis of wave propagation models in saturated porous media derived from poro-elastodynamic theory. According to the formulation, the numerical methods can be usually divided into two general categories known as the domain and boundary methods. In the common domain methods, such as the finite element method (FEM) and finite difference method (FDM), it was required to discretize the whole body including internal parts of the model, the surrounding boundaries, and defining absorbing boundaries. Although the simplicity of domain methods makes them favorable for analyzing the seismic finite media, the models are complicated because of discretize the whole body and its boundaries at a considerable distance from the desired zone. This issue causes the number of elements as well as the required computational efforts to increase to reach accurate results, especially in a half-space soil medium. On the other side, in boundary methods which are mostly known today as the boundary element method (BEM), by concentrating the meshes only around the boundary of the desired features, the automatic satisfaction of wave radiation conditions at infinity, reducing the volume of input data, and analysis time was remarkably achieved as well. Also, the high accuracy of the obtained results was guaranteed due to the large contribution of analytical processes in solving various problems by BEM. One main feature that made the BEM very interesting for analyzing the poro-elastodynamic problems was its capability to obtain the half-space fundamental solutions by eliminating the meshes of far-field boundaries. This issue made it very comfortable to solve problems related to semi-infinite space. Therefore, the BEM presented a better manner for analyzing infinite/semi-infinite problems. By considering the high importance of boundary methods in analyzing the saturated porous media, the separation of studies was done in more detail in this field concerning its main elements. By reviewing the technical literature, it can be known that boundary methods can be divided into two main categories, direct and indirect approaches. In the direct method, all unknowns of the problem were calculated directly from the boundary integral equation (BIE). However, in the indirect method, it is required to define the estimator functions according to the unknowns of the problems, which results in a simplified BEM formulation. By looking at the recent studies, it is clarified that the BEM was always considered a suitable computational approach for analyzing the saturated porous domains, especially in investigating the seismic surface / subsurface topographies features.
Keywords
Boundary Element Method
Analytical and Numerical Methods
Poroelasticity
Topography

Subjects

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  • Receive Date 31 January 2023
  • Revise Date 15 April 2023
  • Accept Date 07 May 2023