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Related Experiment Video

Updated: May 21, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

About the transition frequency in Biot's theory.

Patrick S Kurzeja¹, Holger Steeb

¹Institute of Mechanics, Ruhr-University Bochum, Universitaetsstr. 150, 44780 Bochum, Germany. patrick.kurzeja@rub.de

The Journal of the Acoustical Society of America

|June 21, 2012

Summary

Biot's theory for wave propagation in porous media can be improved by considering solid inertia, elasticity, and frequency-dependent momentum exchange. These factors are crucial for accurately modeling fluid flow in highly porous materials.

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Area of Science:

Geophysics
Fluid Dynamics
Materials Science

Background:

Biot's theory describes wave propagation in porous media using a characteristic frequency to differentiate low and high-frequency regimes.
Current models rely on small-scale fluid flow investigations and upscaling, which involve limiting assumptions.

Purpose of the Study:

To enhance Biot's theory for general two-phase systems.
To identify key physical properties that improve wave propagation modeling in porous media.

Main Methods:

Investigating fluid flow through various pore geometries at a smaller scale.
Implementing an upscaling process to derive macroscopic properties.
Incorporating solid inertia, solid elasticity, and frequency-dependent momentum exchange corrections.

Main Results:

The study identifies limitations in the assumptions of small-scale investigations within Biot's theory.
Three key properties—solid inertia, solid elasticity, and frequency-dependent momentum exchange—are found to enhance the theory.
These enhancements are particularly significant for highly porous media saturated with liquids.

Conclusions:

Biot's theory can be extended beyond its original limitations for improved accuracy.
The inclusion of solid inertia, elasticity, and frequency-dependent momentum exchange is vital for modeling wave propagation in complex porous media.
The enhanced model provides a more robust framework for analyzing fluid-solid interactions in geophysics and related fields.