HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS		QUICK SEARCH:   [advanced] Author: Keyword(s): Year:  Vol:  Page:

This Article Full Text (PDF) References Citation Map Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via HighWire Citing Articles via Google Scholar Google Scholar Articles by PUJOL, J. Search for Related Content GeoRef GeoRef Citation

Comments on the joint determination of hypocenters and station corrections

CENTER FOR EARTHQUAKE RESEARCH AND INFORMATION MEMPHIS STATE UNIVERSITY, MEMPHIS, TENNESSEE 38152

Abstract

Some aspects of the joint determination of hypocenters and station corrections (JHD) are discussed. An alternative solution to one of the methods currently in use (Pavlis and Booker, 1983) is proposed. It requires only a modest computational effort and is very fast. This simplification is not achieved at the expense of numerical stability and is backed by a theoretical study of the properties of the matrices involved. These matrices are positive semidefinite, and this allows a general analysis of the JHD solution. Several facts, some of them known and some new, are formally proved. It is possible, for example, to carry out a detailed study of the eigenvalues of the matrix from which the station corrections are derived. It is also shown that the mean value of the initial estimate of station corrections are retained as a bias in the final solution. The relationship between the approximate solution of Frohlich (1979) and the exact JHD solution can also be studied, and the reason for its success in certain cases is explained.

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]

				H. Chen, J.-M. Chiu, J. Pujol, K. Kim, K.-C. Chen, B.-S. Huang, Y.-H. Yeh, and S.-C. Chiu A Simple Algorithm for Local Earthquake Location Using 3D VP and VS Models: Test Examples in the Central United States and in Central Eastern Taiwan Bulletin of the Seismological Society of America, February 1, 2006; 96(1): 288 - 305. [Abstract] [Full Text] [PDF]

				Seismicity of the Southern Great Lakes: Revised Earthquake Hypocenters and Possible Tectonic Controls Bulletin of the Seismological Society of America, October 1, 2004; 94(5): 1902 - 1918.

				Determination of a Local Magnitude Scale: A Generalized Inverse Solution Bulletin of the Seismological Society of America, December 1, 2003; 93(6): 2758 - 2761.

				On the Mathematics of Using Difference Operators to Relocate Earthquakes Bulletin of the Seismological Society of America, December 1, 2002; 92(8): 2879 - 2892.

				New Evidence for Segmentation of the Alaska Subduction Zone Bulletin of the Seismological Society of America, June 1, 2002; 92(5): 1754 - 1765.

				New Constraints on Tectonics of Interior Alaska: Earthquake Locations, Source Mechanisms, and Stress Regime Bulletin of the Seismological Society of America, April 1, 2002; 92(3): 998 - 1014.

				Renewed Seismicity near Monticello Reservoir, South Carolina, 1996-1999 Bulletin of the Seismological Society of America, February 1, 2001; 91(1): 94 - 101.

				A Double-Difference Earthquake Location Algorithm: Method and Application to the Northern Hayward Fault, California Bulletin of the Seismological Society of America, December 1, 2000; 90(6): 1353 - 1368.

				Earthquake Locations in the Inner Continental Borderland, Offshore Southern California Bulletin of the Seismological Society of America, April 1, 2000; 90(2): 425 - 449.

				N. A. Ratchkovsky, J. Pujol, and N. N. Biswas Relocation of earthquakes in the Cook Inlet area, south central Alaska, using the joint hypocenter determination method Bulletin of the Seismological Society of America, June 1, 1997; 87(3): 620 - 636. [Abstract] [PDF]

				J. Pujol An integrated 3D velocity inversion--joint hypocentral determination relocation analysis of events in the Northridge area Bulletin of the Seismological Society of America, February 1, 1996; 86(1B): S138 - S155. [Abstract] [PDF]

				J. Pujol Application of the JHD technique to the Loma Prieta, California, mainshock-aftershock sequence and implications for earthquake location Bulletin of the Seismological Society of America, February 1, 1995; 85(1): 129 - 150. [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]

				J. PUJOL, J. M. CHIU, R. SMALLEY Jr., M. REGNIER, B. ISACKS, J. L. CHATELAIN, J. VLASITY, D. VLASITY, J. CASTANO, and N. PUEBLA Lateral velocity variations in the Andean foreland in Argentina determined with the JHD method Bulletin of the Seismological Society of America, December 1, 1991; 81(6): 2441 - 2457. [Abstract] [PDF]

				J. PUJOL and R. ASTER Joint hypocentral determination and the detection of low-velocity anomalies. An example from the Phlegraean Fields earthquakes Bulletin of the Seismological Society of America, February 1, 1990; 80(1): 129 - 139. [Abstract] [PDF]

				J. PUJOL, J.-M. CHIU, A. JOHNSTON, and B.-H. CHIN On the relocation of earthquake clusters. A case history: The Arkansas earthquake swarm Bulletin of the Seismological Society of America, December 1, 1989; 79(6): 1846 - 1862. [Abstract] [PDF]