Compressional wave propagation in saturated porous media and its numerical analysis using a space-time conservation...

Area of Science:

• Acoustics
• Geophysics
• Biomedical Engineering

Background:

• Compressional waves in saturated porous media are crucial for oil exploration and bone diagnostics.
• Biot's theory describes wave propagation in such media, particularly at low frequencies.
• Understanding wave dispersion and attenuation is key to interpreting material properties.

Purpose of the Study:

• To identify a critical frequency in Biot's theory for saturated porous media.
• To investigate the dispersion and attenuation characteristics of coalescing Biot waves.
• To validate the accuracy of the space-time conservation element and solution element (CESE) method for simulating acoustic wave propagation.

Main Methods:

• Application of Biot's theory in the low-frequency range.
• Numerical simulation of acoustic wave propagation using the space-time conservation element and solution element (CESE) method.
• Comparison of CESE results with experimental data and the classical transfer function approach.

Main Results:

• A critical frequency exists in the low-frequency range, unifying first and second Biot wave properties.
• The coalesced compressional waves exhibit strong attenuation, moderate phase velocity, and in-phase behavior.
• The CESE method accurately preserves flux conservation and predicts high dispersion and strong attenuation.

Conclusions:

• The identified critical frequency offers new insights into wave behavior in porous media.
• The CESE method is a reliable and accurate tool for simulating compressional wave fields.
• This research enhances the interpretation of physical behaviors in saturated porous materials.