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Plain strain problem of poroelasticity using eigenvalue approach

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Abstract

A plain strain problem of an isotropic elastic liquid-saturated porous medium in poroelasticity has been studied. The eigenvalue approach using the Laplace and Fourier transforms has been employed and these transforms have been inverted by using a numerical technique. An application of infinite space with concentrated force at the origin has been presented to illustrate the utility of the approach. The displacement and stress components in the physical domain are obtained numerically. The results are shown graphically and can be used for a broad class of problems related to liquid-saturated porous media.

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References

  • Biot M A. 1956a General Solution of the equations of elasticity and consolidation for a porous meterial;J. Appl. Mech. 23 91–95

    Article  Google Scholar 

  • Biot M A 1956b The theory of propagation of elastic waves in a fluid-saturated porous solid;J. Acoust. Soc. Am. 28 168–191

    Article  Google Scholar 

  • Cramplin S 1987 The basis for earthquake prediction;Geophys. J. Roy. Astro. Soc. 91, 331–347

    Article  Google Scholar 

  • Deresiewicz H and Skalak R. 1963 On uniqueness in dynamic poro-elasticity;Bull. Seism. Soc. Am. 53 783–789

    Article  Google Scholar 

  • Honig G and Hirdes U 1984 A method for the numerical inversion of the Laplace transform;J. Comp. Appl. Math. 10 113–132

    Article  Google Scholar 

  • Press W H, Teukolsky S A, Vellerling W T and Flannery B P 1986 Numerical Recipes (Cambridge: Cambridge University Press)

    Google Scholar 

  • Yew C H and Jogi P N 1976 Study of wave motions in fluid-saturated porous rocks;J. Acoust. Soc. Am. 60 2–8

    Article  Google Scholar 

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Kumar, R., Miglani, A. & Garg, N.R. Plain strain problem of poroelasticity using eigenvalue approach. J Earth Syst Sci 109, 371–380 (2000). https://doi.org/10.1007/BF02702208

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  • DOI: https://doi.org/10.1007/BF02702208

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