Three-Dimensional Frequency-Domain Green’s Functions of a Finite Fluid-Saturated Soil Layer Underlain by Rigid Bedrock to Interior Loadings
Publication: International Journal of Geomechanics
Volume 22, Issue 1
Abstract
This paper presents the three-dimensional frequency-domain Green’s functions of a saturated poroelastic soil layer with incompressible constituents resting on rigid base due to interior time-harmonic point-, ring-, and disc-loadings with uniform distribution being composed of three effective stress source components and one pore fluid pressure source. The set of Green’s functions can provide complete fundamental solutions for relevant boundary-value problem studies by the method of boundary integral equations. In developing these solutions, the dynamic property of the porous medium is described by Boer’s poroelastic model. Four independent wave equations with definite physical meaning are obtained by introducing four scalar displacement potentials to uncouple the equations of motion of the layer and then resolved by the Fourier–Hankel integral transformations. By imposing the boundary and load interfacial conditions of the layer, the Green’s function solutions of all field variables corresponding to the point-, ring-, and disc-loadings are derived. The obtained solutions are then validated by comparing with the existing special solutions and the finite-element model (FEM) calculation results. Numerical examples with disc loading cases are also performed to examine the effects of the permeability and the thickness of the poroelastic layer on its dynamic characteristic.
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Data Availability Statement
Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request. To be specific, all data that support all the figures in this paper can be provided by the corresponding author.
Acknowledgments
This work was supported by the National Natural Science Foundation of China [Grant Nos. 51908070, 51978085, 51927814, and 52025085], the Natural Science Foundation of Hunan Province (Grant No. 2020JJ5596), the Excellent Youth Foundation of Natural Science Foundation of Hunan Province (Grant No. 2018JJ1026), the Key Project of Education Department of Hunan Province (Grant No. 17A008), the Training Program for High-level Technical Personnel in Transportation Industry (Grant No. 2018-025), the Open Funds of the National Engineering Laboratory of Highway Maintenance Technology through Grant kfj190103, and the Key Laboratory of Road Structure and Material of the Ministry of Transport through Grant kfj170304 (Changsha University of Science & Technology).
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International Journal of Geomechanics
Volume 22 • Issue 1 • January 2022
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© 2021 American Society of Civil Engineers.
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Received: Mar 2, 2021
Accepted: Aug 31, 2021
Published online: Nov 15, 2021
Published in print: Jan 1, 2022
Discussion open until: Apr 15, 2022
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