Extreme nonlinearity in rocks: An investigation using elastic pulse wave propagation

PDF Version Also Available for Download.

Description

Because of the presence of structural defects such as microcracks and grain boundaries, the effective moduli in a highly disordered material change dramatically as a function of stress. Earth materials (rocks) are an important example of this type of disordered media and are of practical interest in geophysics and seismology. At the laboratory scale, static stress-strain theory and elastic resonance experiments on rocks suggest that the ratio of third order elastic constants to second-order elastic constants in such materials is several orders of magnitude higher than in the case of ordinary uncracked materials. In this paper we report a model ... continued below

Physical Description

6 p.

Creation Information

Van Den Abeele, K.E.A. March 1, 1995.

Context

This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this article can be viewed below.

Who

People and organizations associated with either the creation of this article or its content.

Sponsor

Publisher

Provided By

UNT Libraries Government Documents Department

Serving as both a federal and a state depository library, the UNT Libraries Government Documents Department maintains millions of items in a variety of formats. The department is a member of the FDLP Content Partnerships Program and an Affiliated Archive of the National Archives.

Contact Us

What

Descriptive information to help identify this article. Follow the links below to find similar items on the Digital Library.

Description

Because of the presence of structural defects such as microcracks and grain boundaries, the effective moduli in a highly disordered material change dramatically as a function of stress. Earth materials (rocks) are an important example of this type of disordered media and are of practical interest in geophysics and seismology. At the laboratory scale, static stress-strain theory and elastic resonance experiments on rocks suggest that the ratio of third order elastic constants to second-order elastic constants in such materials is several orders of magnitude higher than in the case of ordinary uncracked materials. In this paper we report a model for that describes the nonlinear interaction of frequency components in arbitrary pulsed elastic waves during one-dimensional propagation in an infinite medium. The model is based on the use of one dimensional Green`s Function theory in combination with a perturbation method. A polynomial expansion is used for the stress-strain relation in which we account for four orders of nonlinearity. The perturbation expression corresponds to a higher order equivalent of the Burgers` equation solution for velocity fields in solids. It has conceptual clarity and is easy to implement numerically, even with the inclusion of an arbitrary attenuation function. A comparison with experimental data on Berea sandstone is given to illustrate the model when used in an iterative procedure, and good agreement is obtained limiting model parameters up to cubic anharmonicity. The resulting values for the nonlinear parameters are several orders of magnitude larger than those for uncracked materials. Finally we discuss the values obtained for the dynamic nonlinearity parameters in comparison with static and resonance results.

Physical Description

6 p.

Notes

OSTI as DE95007879

Source

  • 15. international congress on acoustics (ICA), Trondheim (Norway), 26-30 Jun 1995

Language

Item Type

Identifier

Unique identifying numbers for this article in the Digital Library or other systems.

  • Other: DE95007879
  • Report No.: LA-UR--95-511
  • Report No.: CONF-9506141--1
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 34441
  • Archival Resource Key: ark:/67531/metadc679769

Collections

This article is part of the following collection of related materials.

Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

What responsibilities do I have when using this article?

When

Dates and time periods associated with this article.

Creation Date

  • March 1, 1995

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

Description Last Updated

  • Feb. 25, 2016, 4:43 p.m.

Usage Statistics

When was this article last used?

Yesterday: 0
Past 30 days: 0
Total Uses: 1

Interact With This Article

Here are some suggestions for what to do next.

Start Reading

PDF Version Also Available for Download.

Citations, Rights, Re-Use

Van Den Abeele, K.E.A. Extreme nonlinearity in rocks: An investigation using elastic pulse wave propagation, article, March 1, 1995; New Mexico. (digital.library.unt.edu/ark:/67531/metadc679769/: accessed December 10, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.