Ultrasonic velocity-porosity relationships for sandstone analogs made from fused glass beads

doi:https://doi.org/10.1190/1.1443738

Title: Ultrasonic velocity-porosity relationships for sandstone analogs made from fused glass beads

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Abstract

Using fused glass beads, the authors have constructed a suite of clean sandstone analogs, with porosities ranging from about 1 to 43%, to test the applicability of various composite medium theories that model elastic properties. They measured P- and S-wave velocities in dry and saturated cases for their synthetic sandstones and compared the observations to theoretical predictions of the Hashin-Shtrikman bounds, a differential effective medium approach, and a self-consistent theory known as the coherent potential approximation. The self-consistent theory fits the observed velocities in these sandstone analogs because it allows both grains and pores to remain connected over a wide range of porosities. This behavior occurs because this theory treats grains and pores symmetrically without requiring a single background (host) material, and it also allows the composite medium to become disconnected at a finite porosity. In contrast, the differential effective medium theory and the Hashin-Shtrikman upper bound overestimate the observed velocities of the sandstone analogs because these theories assume the microgeometry is represented by isolated pores embedded in a host material that remains continuous even for high porosities. The authors also demonstrate that the differential effective medium theory and the Hashin-Shtrikman upper bound correctly estimate bulk moduli of porous glassmore »« less

Authors:

Berge, P A; Bonner, B P; Berryman, J G ^[1]

Lawrence Livermore National Lab., CA (United States)

Publication Date:: 1995-01-01

OSTI Identifier:: 37103

DOE Contract Number:: W-7405-ENG-48

Resource Type:: Journal Article

Journal Name:: Geophysics

Additional Journal Information:: Journal Volume: 60; Journal Issue: 1; Other Information: PBD: Jan-Feb 1995

Country of Publication:: United States

Language:: English

Subject:: 58 GEOSCIENCES; 02 PETROLEUM; RESERVOIR ROCK; ELASTICITY; MICROSTRUCTURE; POROSITY; SEISMIC WAVES; WAVE PROPAGATION; DATA ANALYSIS; PETROLEUM INDUSTRY; RESEARCH PROGRAMS

Citation Formats


                    Berge, P A, Bonner, B P, and Berryman, J G. Ultrasonic velocity-porosity relationships for sandstone analogs made from fused glass beads.  United States: N. p., 1995. 
        Web.  doi:10.1190/1.1443738.

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                    Berge, P A, Bonner, B P, & Berryman, J G. Ultrasonic velocity-porosity relationships for sandstone analogs made from fused glass beads.  United States.  https://doi.org/10.1190/1.1443738

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                    Berge, P A, Bonner, B P, and Berryman, J G. Sun .  
        "Ultrasonic velocity-porosity relationships for sandstone analogs made from fused glass beads".  United States.  https://doi.org/10.1190/1.1443738.

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@article{osti_37103,

  title        = {Ultrasonic velocity-porosity relationships for sandstone analogs made from fused glass beads},

  author       = {Berge, P A and Bonner, B P and Berryman, J G},

  abstractNote = {Using fused glass beads, the authors have constructed a suite of clean sandstone analogs, with porosities ranging from about 1 to 43%, to test the applicability of various composite medium theories that model elastic properties. They measured P- and S-wave velocities in dry and saturated cases for their synthetic sandstones and compared the observations to theoretical predictions of the Hashin-Shtrikman bounds, a differential effective medium approach, and a self-consistent theory known as the coherent potential approximation. The self-consistent theory fits the observed velocities in these sandstone analogs because it allows both grains and pores to remain connected over a wide range of porosities. This behavior occurs because this theory treats grains and pores symmetrically without requiring a single background (host) material, and it also allows the composite medium to become disconnected at a finite porosity. In contrast, the differential effective medium theory and the Hashin-Shtrikman upper bound overestimate the observed velocities of the sandstone analogs because these theories assume the microgeometry is represented by isolated pores embedded in a host material that remains continuous even for high porosities. The authors also demonstrate that the differential effective medium theory and the Hashin-Shtrikman upper bound correctly estimate bulk moduli of porous glass foams, again because the microstructure of the samples is consistent with the implicit assumptions of these two theoretical approaches.},

  doi          = {10.1190/1.1443738},

  url          = {https://www.osti.gov/biblio/37103},
  journal      = {Geophysics},
number       = 1,

  volume       = 60,

  place        = {United States},

  year         = {1995},

  month        = {1}

}

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