Elastic waves in continuous and discontinuous geological media by boundary integral equation methods: A review

GD Manolis, PS Dineva - Soil Dynamics and Earthquake Engineering, 2015 - Elsevier
In this review paper, we concentrate on the use of boundary integral equation (BIE) based
methods for the numerical modeling of elastic wave motion in naturally occurring media. The …

Dynamic analysis of multilayered unsaturated poroelastic media subjected to a vertical time-harmonic load

Z Ye, ZY Ai - Applied Mathematical Modelling, 2021 - Elsevier
Based on a Biot-type model, the fully coupled equations considering the effect of dynamic
parameters and capillary pressure are established to describe the axisymmetric steady-state …

Solution of dynamic Green׳ s function for unsaturated soil under internal excitation

M Zhang, X Wang, G Yang, L Xie - Soil Dynamics and Earthquake …, 2014 - Elsevier
The closed form three-dimensional Green׳ s function of a semi-infinite unsaturated
poroelastic medium subjected to an arbitrary internal harmonic loading is derived, with …

Extended precise integration solution to layered transversely isotropic unsaturated poroelastic media under harmonically dynamic loads

ZY Ai, Z Ye - Engineering Analysis with Boundary Elements, 2021 - Elsevier
A fully coupled dynamic model is presented in this paper by considering the effect of matric
suction, varying parameters in connection with saturation, stratification and transverse …

Wave propagation in a 1-D partially saturated poroelastic column

P Li, M Schanz - Geophysical journal international, 2011 - academic.oup.com
Based on the theory of mixtures, a dynamic three phase model for partially saturated
poroelasticity is established. This model is applied to a 1-D column and an analytical …

Analyzing transient heat and moisture transport surrounding a heat source in unsaturated porous media using the Green's function

DY Cherati, O Ghasemi-Fare - Geothermics, 2019 - Elsevier
Generally, in most areas, groundwater level is deep and heat sources (eg, energy piles) are
embedded in unsaturated soil media. Therefore, in order to accurately analyze the soil …

Seismic site effects by an optimized 2D BE/FE method I. Theory, numerical optimization and application to topographical irregularities

B Gatmiri, C Arson, KV Nguyen - Soil dynamics and earthquake …, 2008 - Elsevier
This paper deals with the evaluation of seismic site effects due to the local topographical
and geotechnical characteristics. The amplification of surface motions is calculated by a …

Time domain boundary element formulation for partially saturated poroelasticity

P Li, M Schanz - Engineering Analysis with Boundary Elements, 2013 - Elsevier
Based on the Mixture theory and the principles of continuum mechanics, a dynamic three-
phase model for partially saturated poroelasticity is established as well as the corresponding …

General solution and Green's function for fluid-saturated infinite and semi-infinite orthotropic poro-thermoelastic materials

MH Tariq, J Ren - European Journal of Mechanics-A/Solids, 2023 - Elsevier
In this study, two-dimensional (2D) steady-state general solution and Green's function for
orthotropic materials under the influence of poro-thermoelasticity (PTE) are investigated …

Boundary integral formulation and two-dimensional fundamental solutions for dynamic behavior analysis of unsaturated soils

P Maghoul, B Gatmiri, D Duhamel - Soil Dynamics and Earthquake …, 2011 - Elsevier
In this paper the coupled equations governing the dynamic behavior of unsaturated soils are
derived based on the poromechanics theory within the framework of the suction-based …