| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |
|
|
|
|||||||
|
|||||||||
INSTITUTE OF GEOPHYSICS AND PLANETARY PHYSICS UNIVERSITY OF CALIFORNIA,, SAN DIEGO, LA JOLLA, CALIFORNIA 92093
Abstract
A complete reexamination of Geiger's method in the light of modern numerical analysis indicates that numerical stability can be insured by use of the QR algorithm and the convergence domain considerably enlarged by the introduction of step-length damping. In order to make the maximum use of all data, the method is developed assuming a priori estimates of the statistics of the random errors at each station. Numerical experiments indicate that the bulk of the joint probability density of the location parameters is in the linear region allowing simple estimates of the standard errors of the parameters. The location parameters are found to be distributed as one minus chi squared with m degrees of freedom, where m is the number of parameters, allowing the simple construction of confidence levels. The use of the chi-squared test with n-m degrees of freedom, where n is the number of data, is introduced as a means of qualitatively evaluating the correctness of the earth model.
This article has been cited by other articles:
|
|
 |
|
  C.-y. Bai and S. Greenhalgh 3D Local Earthquake Hypocenter Determination with an Irregular Shortest-Path Method Bulletin of the Seismological Society of America, December 1, 2006; 96(6): 2257 - 2268. [Abstract] [Full Text] [PDF]
|
|
|
|
|
|
Optimal Seismic Networks in Israel in the Context of the Comprehensive Test Ban Treaty Bulletin of the Seismological Society of America, February 1, 2000; 90(1): 151 - 165.
|
|
|
|
|
|
E. R. Engdahl, R. van der Hilst, and R. Buland Global teleseismic earthquake relocation with improved travel times and procedures for depth determination Bulletin of the Seismological Society of America, June 1, 1998; 88(3): 722 - 743. [Abstract] [PDF]
|
|
|
|
|
|
J.-M. Chiu, S.-C. C. Chiu, and S. G. Kim The significance of the crustal velocity model in local earthquake locations from a case example of a PANDA experiment in the central United States Bulletin of the Seismological Society of America, December 1, 1997; 87(6): 1537 - 1552. [Abstract] [PDF]
|
|
|
|
|
|
D. M. Steinberg, N. Rabinowitz, Y. Shimshoni, and D. Mizrachi Configuring a seismographic network for optimal monitoring of fault lines and multiple sources Bulletin of the Seismological Society of America, December 1, 1995; 85(6): 1847 - 1857. [Abstract] [PDF]
|
|
|
|
|
|
S. D. Billings, M. S. Sambridge, and B. L. N. Kennett Errors in hypocenter location: Picking, model, and magnitude dependence Bulletin of the Seismological Society of America, December 1, 1994; 84(6): 1978 - 1990. [Abstract] [PDF]
|
|
|
|
|
|
B. O. RUUD, C. D. LINDHOLM, and E. S. HUSEBYE An exercise in automating seismic record analysis and network bulletin production Bulletin of the Seismological Society of America, June 1, 1993; 83(3): 660 - 679. [Abstract] [PDF]
|
|
|
|
|
|
G. L. PAVLIS Appraising relative earthquake location errors Bulletin of the Seismological Society of America, April 1, 1992; 82(2): 836 - 859. [Abstract] [PDF]
|
|
|
|
|
|
S. Y. SCHWARTZ and G. D. NELSON Loma Prieta aftershock relocation with S-P travel times: Effects of 3-D structure and true error estimates Bulletin of the Seismological Society of America, October 1, 1991; 81(5): 1705 - 1725. [Abstract] [PDF]
|
|
|
|
|
|
J. S. GOMBERG, K. M. SHEDLOCK, and S. W. ROECKER The effect of S-wave arrival times on the accuracy of hypocenter estimation Bulletin of the Seismological Society of America, December 1, 1990; 80(6A): 1605 - 1628. [Abstract] [PDF]
|
|
|
|
|
|
N. RABINOWITZ and D. M. STEINBERG Optimal configuration of a seismographic network: A statistical approach Bulletin of the Seismological Society of America, February 1, 1990; 80(1): 187 - 196. [Abstract] [PDF]
|
|
|
|
|
|
S. R. BRATT and T. C. BACHE Locating events with a sparse network of regional arrays Bulletin of the Seismological Society of America, April 1, 1988; 78(2): 780 - 798. [Abstract] [PDF]
|
|
|
|
|
|
A. F. PRUGGER and D. J. GENDZWILL Microearthquake location: A nonlinear approach that makes use of a simplex stepping procedure Bulletin of the Seismological Society of America, April 1, 1988; 78(2): 799 - 815. [Abstract] [PDF]
|
|
|
|
|
|
G. L. PAVLIS Appraising earthquake hypocenter location errors: A complete, practical approach for single-event locations Bulletin of the Seismological Society of America, December 1, 1986; 76(6): 1699 - 1717. [Abstract] [PDF]
|
|
|
|
|
|
B. R. LIENERT, E. BERG, and L. N. FRAZER HYPOCENTER: An earthquake location method using centered, scaled, and adaptively damped least squares Bulletin of the Seismological Society of America, June 1, 1986; 76(3): 771 - 783. [Abstract] [PDF]
|
|
|
|
|
|
B. L. N. KENNETT On regional S Bulletin of the Seismological Society of America, August 1, 1985; 75(4): 1077 - 1086. [Abstract] [PDF]
|
|
|
|
|
|
C. NICHOLSON and D. W. SIMPSON Changes in Vp/Vs with depth: Implications for appropriate velocity models, improved earthquake locations, and material properties of the upper crust Bulletin of the Seismological Society of America, August 1, 1985; 75(4): 1105 - 1123. [Abstract] [PDF]
|
|
|
|
|
|
C. H. THURBER Nonlinear earthquake location: Theory and examples Bulletin of the Seismological Society of America, June 1, 1985; 75(3): 779 - 790. [Abstract] [PDF]
|
|
|
|
|
|
J. P. MCLAREN and C. FROHLICH Model calculations of regional network locations for earthquakes in subduction zones Bulletin of the Seismological Society of America, April 1, 1985; 75(2): 397 - 413. [Abstract] [PDF]
|
|
|
|
|
|
D. CACCAMO and G. NERI A new analytic procedure to determine hypocentral parameters of local seismic events Bulletin of the Seismological Society of America, April 1, 1984; 74(2): 655 - 667. [Abstract] [PDF]
|
|
|
|
|
|
G. L. PAVLIS and J. R. BOOKER Progressive multiple event location (PMEL) Bulletin of the Seismological Society of America, December 1, 1983; 73(6A): 1753 - 1777. [Abstract] [PDF]
|
|
|
|
|
|
T. H. JORDAN and K. A. SVERDRUP Teleseismic location techniques and their application to earthquake clusters in the South-Central Pacific Bulletin of the Seismological Society of America, August 1, 1981; 71(4): 1105 - 1130. [Abstract] [PDF]
|
|
|
|
|
|
W. SPENCE Relative epicenter determination using P-wave arrival-time differences Bulletin of the Seismological Society of America, February 1, 1980; 70(1): 171 - 183. [Abstract] [PDF]
|
|
|
|
|
|
E. G. C. SMITH Comments on "A fast epicenter location program" Bulletin of the Seismological Society of America, June 1, 1978; 68(3): 845 - 846. [PDF]
|
|
|
|
|
|
C. LOMNITZ A procedure for eliminating the indeterminacy in focal depth determinations Bulletin of the Seismological Society of America, April 1, 1977; 67(2): 533 - 535. [PDF]
|
|
|
|
|
|
E. G. C. SMITH Scaling the equations of condition to improve conditioning Bulletin of the Seismological Society of America, December 1, 1976; 66(6): 2075 - 2076. [PDF]
|
|
| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |
