Exciting news! We're transitioning to the Statewide California Earthquake Center. Our new website is under construction, but we'll continue using this website for SCEC business in the meantime. We're also archiving the Southern Center site to preserve its rich history. A new and improved platform is coming soon!

Simplified algorithms for calculating double-couple rotation

Yan Y. Kagan

Published October 2007, SCEC Contribution #1092

We derive new, simplified formulae for evaluating the 3-D angle of earthquake double-couple (DC) rotation. The complexity of the derived equations depends on both accuracy requirements for angle evaluation and the completeness of desired solutions. The solutions are simpler than my previously proposed algorithm based on the quaternion representation designed in 1991. We discuss advantages and disadvantages of both approaches. These new expressions can be written in a few lines of computer code and used to compare both DC solutions obtained by different methods and variations of earthquake focal mechanisms in space and time.

Citation
Kagan, Y. Y. (2007). Simplified algorithms for calculating double-couple rotation. Geophysical Journal International, 171(1), 411-418. doi: 10.1111/j.1365-246X.2007.03538.x.