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Inversion of guided-wave dispersion data with application to borehole acoustics.

Henning Braunisch1, Tarek M Habashy, Bikash K Sinha

  • 1Department of Electrical Engineering and Computer Science and Research Laboratory of Electronics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139-4307, USA. henning.braunisch@intel.com

The Journal of the Acoustical Society of America
|February 5, 2004
PubMed
Summary

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This study introduces an efficient method to determine waveguide properties from dispersion data without explicit curve fitting. The new approach simplifies calculations and accurately identifies unknown parameters, even with noisy or multimode data.

Area of Science:

  • Geophysics
  • Wave propagation analysis
  • Materials science

Background:

  • Inferring waveguide properties from modal dispersion curves is crucial but computationally intensive.
  • Existing inversion methods often involve complex nested iterations and explicit data fitting.
  • Noisy data and multimode propagation add significant challenges to parameter estimation.

Purpose of the Study:

  • To develop a simplified and efficient inversion scheme for waveguide parameter estimation.
  • To eliminate the need for explicit fitting of dispersion data to computed curves.
  • To enable simultaneous processing of multimode and multifrequency data with improved accuracy.

Main Methods:

  • A novel inversion approach minimizing a cost function based on the determinant of the boundary condition system matrix.

Related Experiment Videos

  • Elimination of the inner loop in nested iteration inversion methodologies.
  • Direct parameter adjustment without explicit data-to-curve fitting.

    • Main Results:

    • The proposed method achieves an efficient inversion scheme, yielding exact results for noise-free data.
    • Simultaneous processing of multimode data is feasible without added complexity.
    • The scheme accommodates an arbitrary number of unknown parameters with sufficient data sensitivity.

    Conclusions:

    • The developed inversion technique offers a significant reduction in complexity and computational cost.
    • It provides an accurate and robust method for inferring waveguide geometry and material parameters.
    • The approach is applicable to complex scenarios, including sonic guidance in fluid-filled boreholes within rock formations.