**Generating Random Earthquake Events for Probabilistic
Tsunami Hazard Assessment
**

by R. J. LeVeque, K. Waagan, F. I. Gonzalez, D. Rim, and G. Lin
*Pure Appl. Geophys.* 173 (2016) pp. 3671-3692.

**Abstract.**
In order to perform probabilistic tsunami hazard assessment (PTHA) based on
subduction zone earthquakes, it is necessary to start with a catalog of
possible future events along with the annual probability of occurance, or a
probability distribution of such events that can be easily sampled. For
nearfield events, the distribution of slip on the fault can have a
significant effect on the resulting tsunami. We present an approach to
defining a probability distribution based on subdividing the fault geometry
into many subfaults and prescribing a desired covariance matrix relating slip
on one subfault to slip on any other subfault. The eigenvalues and
eigenvectors of this matrix are then used to define a Karhunen-Lo\`eve
expansion for random slip patterns. This is similar to a spectral
representation of random slip based on Fourier series but conforms to a
general fault geometry. We show that only a few terms in this series are
needed to represent the features of the slip distribution that are most
important in tsunami generation, first with a simple one-dimensional example
where slip varies only in the down-dip direction and then on a portion of the
Cascadia Subduction Zone.

**Keywords.**
Probabilistic tsunami hazard assessment, seismic sources, Karhunen-Lo\`eve
expansion, subduction zone earthquakes

**Journal article:**
[doi:10.1007/s00024-016-1357-1]
...
Open access view-only version

**Accepted manuscript:**
KLslip.pdf

**Earlier preprint (before substantial revisions):**
arxiv.org/abs/1605.02863

**Code:**

**bibtex entry:**

@article{LeVequeWaagan2016:KLslip, author="R. J. LeVeque and K. Waagan and F. I. Gonzalez and D. Rim and G. Lin", title="Generating Random Earthquake Events for Probabilistic Tsunami Hazard Assessment", journal = "Pure Appl. Geophys.", doi="10.1007/s00024-016-1357-1", year="2016" }