Difference between revisions of "CyberShake Tapered Hypocenter Implementation"

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We calculate the hypocenter location for each rupture variation with srf_gethypo. This returns the grid point with the earliest slip in the SRF file, which is not necessarily identical to the input hypocenter location in the rupture generator.
 
We calculate the hypocenter location for each rupture variation with srf_gethypo. This returns the grid point with the earliest slip in the SRF file, which is not necessarily identical to the input hypocenter location in the rupture generator.
  
We then calculate fractional distance along strike and down depth for each hypocenter and apply the taper. Here are the tapered hypocenters for an example SAF Mojave S rupture:
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We then calculate fractional distance along strike and down depth for each hypocenter and apply the taper. Here are the tapered hypocenters for an example SAF Mojave S rupture, as a function of latitude. You can see how even the "uniform" hypocenters show a large amount of scatter:
  
 
[[File:CyberShake_15_4_Hypocenter_PDF_Mojave.png]]
 
[[File:CyberShake_15_4_Hypocenter_PDF_Mojave.png]]
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== Hazard Curves ==
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We then calculate hazard curves in OpenSHA, where rupture variations are weighted by the aforementioned tapered hypocenter PDF. We calculate the tapered probability for each rupture variation, rescale such that the total probability summed across all rupture variations is equal to the input probability (UCERF2) for the rupture, and construct an empirical intensity measure exceedence distribution for each rupture using these weighted rupture variation probabilities.
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Hazard curves are shown below for select sites applying this methodology:
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[[File:CyberShake_15_4_Hypocenter_Curve_Comparison_USC.png]]
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[[File:CyberShake_15_4_Hypocenter_Curve_Comparison_PAS.png]]
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[[File:CyberShake_15_4_Hypocenter_Curve_Comparison_SBSM.png]]
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[[File:CyberShake_15_4_Hypocenter_Curve_Comparison_STNI.png]]

Revision as of 23:54, 26 May 2015

Motivation

CyberShake Study 15.4 uses the Graves and Pitarka (2015) rupture generator with a uniform hypocenter distribution, including multiple rows of hypocenters down dip. Thus far we have weighted all CyberShake rupture variations equally. This page documents efforts to modify these hypocenter probabilties, reducing probabilities of hypocenters at the edges of the fault. This is similar to the weighted random calculation done by Graves and Pitarka (2015) when random hypocenters are enabled.

Tapered Hypocenter PDF

We apply a taper as follows:

Taper the first and last 20% along strike, starting with 10% weight at each edge. Taper the top (shallowest) 40% and bottom (deepest) 20% of the fault, starting with 1% weight at the top and 10% on the bottom.

Here is the resultant probability density function (PDF)

CyberShake 15 4 Hypocenter pdf theoretical.png

We calculate the hypocenter location for each rupture variation with srf_gethypo. This returns the grid point with the earliest slip in the SRF file, which is not necessarily identical to the input hypocenter location in the rupture generator.

We then calculate fractional distance along strike and down depth for each hypocenter and apply the taper. Here are the tapered hypocenters for an example SAF Mojave S rupture, as a function of latitude. You can see how even the "uniform" hypocenters show a large amount of scatter:

CyberShake 15 4 Hypocenter PDF Mojave.png

Hazard Curves

We then calculate hazard curves in OpenSHA, where rupture variations are weighted by the aforementioned tapered hypocenter PDF. We calculate the tapered probability for each rupture variation, rescale such that the total probability summed across all rupture variations is equal to the input probability (UCERF2) for the rupture, and construct an empirical intensity measure exceedence distribution for each rupture using these weighted rupture variation probabilities.

Hazard curves are shown below for select sites applying this methodology:

CyberShake 15 4 Hypocenter Curve Comparison USC.png

CyberShake 15 4 Hypocenter Curve Comparison PAS.png

CyberShake 15 4 Hypocenter Curve Comparison SBSM.png

CyberShake 15 4 Hypocenter Curve Comparison STNI.png