Extensions of the Galperin Transformation Matrices for Triaxial Seismometers

Area of Science:

• Seismology
• Geophysics
• Planetary Science

Background:

• The Galperin symmetric triaxial seismometer, invented in 1955, is a key instrument for seismic detection.
• Its application has expanded to include seismic exploration on Mars.
• Detailed physics of this seismometer are not widely available in open literature.

Purpose of the Study:

• To present detailed, unpublished physics of the Galperin symmetric triaxial seismometer.
• To extend the original theoretical work to encompass more practical operational scenarios.
• To enhance the understanding and application of this seismometer in diverse environments.

Main Methods:

• Theoretical extension of Galperin's original work.
• Inclusion of non-idealized geometric and operational parameters.
• Analysis of seismometer performance under varied conditions.

Main Results:

• Developed a more comprehensive physical model for the Galperin seismometer.
• Accounted for non-ideal tilt angles and component orientations (deviations from 120°).
• Incorporated the effects of distributed mass and low-frequency operations.

Conclusions:

• The extended model provides a more realistic representation of seismometer behavior.
• This work enhances the utility of Galperin seismometers for challenging seismic detection tasks.
• Improved understanding facilitates more accurate seismic data interpretation on Earth and other planets.