Skip to main content
SpringerLink
Log in

Analytical solutions for dynamic pressures of coupling fluid-solid-porous medium due to P wave incidence

  • Published:
Earthquake Engineering and Engineering Vibration Aims and scope Submit manuscript

Abstract

Wave reflection and refraction in layered media is a topic closely related to seismology, acoustics, geophysics and earthquake engineering. Analytical solutions for wave reflection and refraction coefficients in multi-layered media subjected to P wave incidence from the elastic half-space are derived in terms of displacement potentials. The system is composed of ideal fluid, porous medium, and underlying elastic solid. By numerical examples, the effects of porous medium and the incident wave angle on the dynamic pressures of ideal fluid are analyzed. The results show that the existence of the porous medium, especially in the partially saturated case, may significantly affect the dynamic pressures of the overlying fluid.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Biot MA (1956), “Theory of Propagation of Elastic Waves in a Fluid-saturated Porous Solid,”The Journal of Acoustical Society of America,28(1): 168–191.

    Article  Google Scholar 

  • Biot MA and Willis DG (1957), “The Elastic Coefficients of the Theory of Consolidation,”Journal of Applied Mechanics,24(4):594–601.

    Google Scholar 

  • Bogy DB and Gracewski SM (1983), “Reflection Coefficient for Plane Waves in a Fluid Incident on a Layered Elastic Half-space,”Journal of Applied Mechanics,50:405–413.

    Article  Google Scholar 

  • Bougacha S and Tassoulas JL (1991a), “Seismic Response of Gravity Dams, I: Modeling of Sediments,”Journal of Engineering Mechanics, ASCE,117(8): 1826–1837.

    Article  Google Scholar 

  • Bougacha S and Tassoulas JL (1991b), “Seismic Response of Gravity Dams, II: Effects of Sediments,”Journal of Engineering Mechanics, ASCE,117(8): 1839–1850.

    Article  Google Scholar 

  • Brekhovskikh LM (1980),Waves in layered media, Second Edition, Academic Press: New York.

    Google Scholar 

  • Cheng AHD (1986), “Effects of Sediment on Earthquakeinduced Reservoir Hydrodynamic Response,”Journal of Engineering Mechanics, ASCE,112(7):654–663.

    Article  Google Scholar 

  • Deresiewicz H and Rice JT (1962), “The Effect of Boundary on Wave Propagation in a Liquid-filled Porous Solid: III Reflection of Plane Waves at a Free Plane Boundary (General case),”Bulletin of the Seismological Society of America,52(3):595–625.

    Google Scholar 

  • Dominguez J, Gallego R and Japon BR (1997), “Effects of Porous Sediments on Seismic Response of Concrete Gravity Dams,”Journal of Engineering Mechanics, ASCE,123(4):302–311.

    Article  Google Scholar 

  • Fenves G and Chopra AK (1985), “Effects of Reservoir Bottom Absorption and Dam-water-foundation Rock Interaction on Frequency Response Functions for Concrete Gravity Dams,”Earthquake Engineering and Structural Dynamics,13(1): 13–31.

    Article  Google Scholar 

  • Mei CC and Foda MA (1981), “Wave Induced Response in a Fluid-filled Poroelastic Solid with a Free Surface - a Boundary Layer Theory,”Geophysical Journal of the Royal Astronomical Society, London, England,66: 597–631.

    Google Scholar 

  • Munjal ML (1993), “Response of a Multi-layered Infinite Plate to an Oblique Plane Wave by Means of Transfer Matrices,”Journal of Sound and Vibration,162(2):333–343.

    Article  Google Scholar 

  • Verruijt A (1969), “Elastic Storage of Aquifers,”Flow through porous media, Roger J. M. De Wiest ed., Academic Press: New York and London.

    Google Scholar 

  • Yang J (1999), “Importance of Flow Condition on Seismic Waves at a Saturated Porous Solid Boundary,”Journal of Sound and Vibration,221(3):391–413.

    Article  Google Scholar 

  • Yang J (2001), “Saturation Effects on Horizontal and Vertical Motions in Layered Soil-bedrock System Due to Inclined SV Waves,”Soil Dynamics and Earthquake Engineering,21:527–536.

    Article  Google Scholar 

  • Zhang CH, Yan CD and Wang GL (2001), “Numerical Simulation of Reservoir Sediment and Effects on Hydro-dynamic Response cf Arch Dams,”Earthquake Engineering and Structural Dynamics,30:1817–1837.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Hydraulic Engineering, Tsinghua University, 100084, Beijing, China

    Wang Jinting (Assistant Professor), Zhang Chuhan (Professor) & Jin Feng (Professor)

Authors
  1. Wang Jinting
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhang Chuhan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jin Feng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Wang Jinting.

Additional information

Supported by: National Natural Science Foundation of China Under Grant No. 50309005; National Key Basic Research and Development Program Under Grant No.2002CB412709

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jinting, W., Chuhan, Z. & Feng, J. Analytical solutions for dynamic pressures of coupling fluid-solid-porous medium due to P wave incidence. Earthq. Eng. Eng. Vib. 3, 263–271 (2004). https://doi.org/10.1007/BF02858240

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02858240

Keywords

Search

Navigation