A review on dynamic analysis of linear saturated porous media: Approaches and models

Articles in Press

Document Type : Review Article

Authors

1 Department of Civil Engineering, Zanjan Branch, Islamic Azad University, Zanjan, Iran.

2 Department of Civil Engineering, Faculty of Engineering, Urmia University, Urmia, Iran

3 International Institute of Earthquake Engineering and Seismology

Abstract

In this paper, the most important existing studies on the dynamic analysis of the saturated porous media were reviewed. First, a brief review illustrated the theoretical expressions and essential equations of the mentioned domain. Then, by dividing the literature based on various analysis approaches into two categories of analytical/semi-analytical and numerical methods, the available research was classified in each category to report based on the publication year. In recent decades, increasing the power of computers besides the development of numerical approaches has made researchers eager to use them for analyzing wave propagation problems as well as predicting the real responses of topographic features more than ever. Based on the formulation, the numerical methods can be usually divided into two general categories known as the domain and boundary methods. The common domain methods are including the finite element method (FEM) and finite difference method (FDM) which require discretization of the whole body including internal parts of the model and its boundaries. Although the simplicity of domain methods makes them favorable for seismic analysis of finite media, the models are complicated because of discretizing the whole body and its boundaries at a considerable distance from the desired zone. In boundary methods which are mostly known today as the boundary element method (BEM), due to the concentration of meshes only around the boundary of the desired features, automatic satisfaction of wave radiation conditions at infinity, reducing the volume of input data and analysis time is remarkably achieved as well. On the other hand, because of the large contribution of analytical processes in solving various problems by BEM, the high accuracy of the obtained results is guaranteed. Therefore, the BEM provides a better manner for analyzing infinite/semi-infinite problems. Also, 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 including the boundary element method are always considered suitable computational approaches for analyzing the saturated porous domains, especially in investigating the seismic surface/subsurface topographies features.

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Bulletin of Earthquake Science and Engineering

Articles in Press, Accepted Manuscript
Available Online from 07 May 2023

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History

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

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