Nonlinear Acoustics and Shock Waves in Sediments and Fluid-Filled Porous Media.

Abstract

Considerable progress has been made in establishing the appropriate master system of equations suitable for modeling shock waves and nonlinear wave phenomena in fluid-permeable porous solids. The major accomplishments are as follows. (1) Numerical experiments establishing the existence of shock waves in a 1D system with both Darcy and Navier-Stokes viscosities. (2) The general form of the equations of motion have been deduced from Hamilton's principle of Least Action combined with Onsager's method of irreversible thermodynamics. (3) We analyzed the specific case of a layered fluid/solid medium in depth, and obtained explicit formulas for the nonlinear strain energy and the permeability operator. (4) We have extended the methods of acoustoelasticity to poroelastic media. (5) We have examined the stability of acoustic disturbances in a simple model of a porous medium with a mean flow through the pores.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1996
Accession Number
ADA308156

Entities

People

  • Andrew N Norris

Organizations

  • Rutgers School of Engineering

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Waves
  • Acoustics
  • Computational Fluid Dynamics
  • Computational Science
  • Continuum Mechanics
  • Earth Sciences
  • Elastic Waves
  • Electrical Solitons
  • Equations
  • Equations Of Motion
  • Fluid Dynamics
  • Fluid Flow
  • Mechanical Properties
  • Mechanics
  • Physics Laboratories
  • Shock Waves
  • Wave Phenomena

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Wave Propagation and Nonlinear Chaotic Dynamics.