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zmap a tool for analyses of seismicity patterns typical applications ...

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Using Gephart’s code<br />

An alternative code to compute stress tensor was given by Gephart [Gephart, 1990a;<br />

Gephart, 1990b; Gephart and Forsyth, 1984]. His code per<strong>for</strong>ms a complete grid search<br />

<strong>of</strong> the parameter space. The ZMAP6 version <strong>of</strong> the code is essentially unchanged from<br />

the ZMAP5 version, with the exception that now a precompiled PC version is also<br />

available. The data input <strong>for</strong>mat is identical to the one <strong>for</strong> Michael’s inversion. Note that<br />

significant differences between the two methods have been observed in special cases.<br />

For UNIX or LINUX version, you need to precompiled a few files, that are located in the<br />

external/src_unix directory. Check the INFO file in this directory <strong>for</strong> in<strong>for</strong>mation on<br />

compiling.<br />

To initiate a stress tensor inversion, select the "Invert <strong>for</strong> stress tensor" option from the<br />

Tools pull down menu <strong>of</strong> the Cumulative Number window. The dataset currently selected<br />

in this window will be used <strong>for</strong> the inversion. The actual inversion is per<strong>for</strong>med using a<br />

Fortran code based on Gephart and Forsyth [1984] algorithm, and modified by Zhong<br />

Lu.<br />

The actual program is described and discussed by Gephart and Forsyth [1984], Gephart<br />

(1990), [Lu and Wyss, 1996; Lu et al., 1997] and [Gillard et al., 1995]. Two main<br />

assumptions need are made: 1) the stress tensor is uni<strong>for</strong>m in the crustal volume<br />

investigated; 2) on each fault plane slip occurs in the direction <strong>of</strong> the resolved shear<br />

stress. In order to invert the focal mechanism data successfully <strong>for</strong> the direction <strong>of</strong><br />

principal stresses, one must have a crustal volume with faults representing zones <strong>of</strong><br />

weakness with different orientations in a homogeneous stress field. If only one type <strong>of</strong><br />

focal mechanism is observed, then the direction <strong>of</strong> the principal stresses would be poorly<br />

constraint (modified from Gillard and Wyss, 1995)<br />

47

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