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

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 » foams, again because the microstructure of the samples is consistent with the implicit assumptions of these two theoretical approaches.« less

Authors:
; ;  [1]
  1. Lawrence Livermore National Lab., CA (United States)
Publication Date:
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.
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
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.
@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}
}