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## Radiation pattern from shear-tensile seismic source

version 1.0.0.0 (2.47 KB) by Grzegorz Kwiatek

### Grzegorz Kwiatek (view profile)

Calculates P, S, SV and SH radiation pattern using shear-tensile seismic source model.

Updated 17 Sep 2013

Function calculates P-wave, S-wave, SH-wave and SV-wave radiation pattern using shear-tensile source model [cf. references 1-3 for details]. All input angles (strike, dip, rake of the fault, tensile angle gamma, takeoff angle TKO and azimuth from the source to the observation point AZM) should be provided in degrees. The takeoff angle is measure from bottom. The azimuth to the observation point is measured from north to east. The function returns matrices of the same size as input TKO and AZM matrices which should be of the same size and denote a set of observation points specified by takeoff angles and azimuth.

 Kwiatek, G. and Y. Ben-Zion (2013). Assessment of P and S wave energy radiated from very small shear-tensile seismic events in a deep South African mine. J. Geophys. Res. 118, 3630-3641, doi: 10.1002/jgrb.50274
 Ou, G.-B., 2008, Seismological Studies for Tensile Faults. Terrestrial, Atmospheric and Oceanic Sciences 19, 463.
 Vavryčuk, V., 2001. Inversion for parameters of tensile earthquakes.” J. Geophys. Res. 106 (B8): 16339–16355. doi: 10.1029/2001JB000372.

Kevin Wang

Michael

Grzegorz Kwiatek

### Grzegorz Kwiatek (view profile)

@Michael
Here is a sample script that produces either radiation pattern "flower" or (if you replace scale=abs(GP) with scale=1) something similar to beach ball. Hope it helps!

AZIMUTH = (0:4:360)*pi/180;
TAKEOFF = (0:2:180)*pi/180;
[AZIMUTH,TAKEOFF] = meshgrid(AZIMUTH,TAKEOFF);

strike = 50;
dip = 60;
rake = -90;
sigma = 0.25;
gamma = 0;
[GP, GS, GSH, GSV] = rpgen(strike,dip,rake,gamma,sigma, TAKEOFF*180/pi, AZIMUTH*180/pi);

scale = abs(GP);
YP = scale.*cos(AZIMUTH) .* sin(TAKEOFF);
XP = scale.*sin(AZIMUTH) .* sin(TAKEOFF);
ZP = scale.*-cos(TAKEOFF);

surf(XP,YP,ZP,GP,'EdgeColor','none','FaceAlpha',0.9,'AmbientStrength',0.7,'EdgeColor','k','EdgeAlpha',0.1);
axis equal;

Michael

### Michael (view profile)

how I plot the radiation patterns after calculating the coefficients?

##### MATLAB Release Compatibility
Created with R2009a
Compatible with any release
##### Platform Compatibility
Windows macOS Linux