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Impact of point source on fissured poroelastic medium: Green’s function approach

Shishir Gupta (Department of Mathematics and Computing, IIT (ISM), Dhanbad, India)
Soumik Das (Department of Mathematics and Computing, IIT (ISM), Dhanbad, India)
Rachaita Dutta (Department of Mathematics and Computing, IIT (ISM), Dhanbad, India)

Engineering Computations

ISSN: 0264-4401

Article publication date: 21 September 2020

Issue publication date: 17 June 2021




The purpose of this paper is to investigate the mathematical model comprising a heterogeneous fluid-saturated fissured porous layer overlying a non-homogeneous anisotropic fluid-saturated porous half-space without fissures. The influence of point source on horizontally polarized shear-wave (SH-wave) propagation has been studied intensely.


Techniques of Green’s function and Fourier transform are applied to acquire displacement components, and with the help of boundary conditions, complex frequency equation has been constructed.


Complex frequency relation leads to two distinct equations featuring dispersion and attenuation properties of SH-wave in a heterogeneous fissured porous medium. Using MATHEMATICA software, dispersion and damping curves are sketched to disclose the effects of heterogeneity parameters associated with both media, parameters related to rigidity and density of single porous half-space, attenuation coefficient, wave velocity, total porosity, volume fraction of fissures and anisotropy. The fact of obtaining classical Love wave equation by introducing several particular conditions establishes the validation of the considered model.


To the best of the authors’ knowledge, effect of point source on SH-wave propagating in porous layer containing macro as well as micro porosity is not analysed so far, although theory of fissured poroelasticity itself has vast applications in real life and impact of point source not only enhances the importance of fissured porous materials but also opens a new area for future research.



Conflict of interest: On behalf of all authors, the corresponding author states that there is no conflict of interest.

Authors are sincerely grateful to Indian Institute of Technology (Indian School of Mines), Dhanbad, India, for providing great opportunity, guidance, best facilities and equipment.


Gupta, S., Das, S. and Dutta, R. (2021), "Impact of point source on fissured poroelastic medium: Green’s function approach", Engineering Computations, Vol. 38 No. 4, pp. 1869-1894.



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