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Dispersion in poroelastic systems.

J G Berryman1, H F Wang

  • 1Lawrence Livermore National Laboratory, University of California, P.O. Box 808, L-200 Livermore, California 94551-9900, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 20, 2001
PubMed
Summary

Gassmann

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Area of Science:

  • Poroelasticity
  • Geophysics
  • Materials Science

Background:

  • Gassmann's equations in poroelasticity predict shear modulus independence from fluid properties.
  • Experimental observations show shear modulus dependence on fluid properties at high frequencies.
  • Effective medium theory suggests shear modulus should depend on fluid properties.

Purpose of the Study:

  • To resolve discrepancies between Gassmann's equations and experimental findings in poroelasticity.
  • To investigate the influence of fluid properties on the shear modulus of porous materials.
  • To compare predictions from Gassmann's equations and effective medium theory.

Main Methods:

  • Theoretical analysis of poroelasticity.
  • Comparison of Gassmann's equations with effective medium theory.
  • Analysis of experimental data on porous materials.

Main Results:

  • Gassmann's equations underestimate both bulk and shear moduli compared to effective medium theory.
  • Effective medium theory provides a framework for understanding fluid-dependent shear modulus.
  • Apparent disagreements between theory and experiment stem from limitations in theoretical models.

Conclusions:

  • The study clarifies the limitations of Gassmann's equations regarding fluid-dependent moduli.
  • Effective medium theory offers a more comprehensive explanation for observed poroelastic behavior.
  • Reconciling theoretical predictions with experimental data is crucial for accurate material characterization.

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