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Since 1906, California’s San Andreas Fault System has not produced a M7.0+ earthquake in over 100 years. After over a century of dormancy, the San Andreas Fault is approaching its recurrence rupture interval of 140 years (Wald et al., 2019). In light of this absence of large earthquakes, we investigated different types of earthquake droughts, the likelihood of our current seismic drought ending in the next 30 years, and a forecast of the seismic rate after the drought has ended. In order to measure and compare the statistical likelihood of major earthquake ruptures in California, we defined an earthquake drought four different ways. We used RSQSim (Rate State earthQuake Simulator), a physics based earthquake simulator, on the Blue Waters supercomputer to generate 2 million year catalog of simulated earthquakes. We calculated probabilities regarding earthquake behavior based on the time-independent Poisson distribution model in order to find the overall probability of a M7.5+ earthquake occurring over any 30-year period. We then compared this time-independent model to a time-dependent model to see the differences in probability between the earthquake occurrences. Using a catalog of 2 million years, the probability of being in a drought of 100 years or more on the San Andreas Fault system (Definition 2) is 2%. Furthermore, the probability of a M7.0+ drought ending event occurring for the same definition such that a 100 year drought has passed is 91%. Therefore, California, regardless of which definition used, is in an extremely unlikely drought and is very likely to see the drought end soon. Considering these probabilities, we hope that this motivates both the public and policy makers to prepare for the drought that is most probably going to end soon. California is in an extremely unlikely drought the highest probability is less than 25 percent and the lowest probability is less than 1% The likelihood of the dro ught ending is likely to extremely likely for some of the definitions and probabilities time dependent probability of drought ending in 30 year period is 91% for a M7.0+ on SAF sub system time dependent statewide M7.5+ is ~78% Abstract Results Drought Definitions We ran small test jobs, changing parameters until we found a set that matched results from UCERF3 We will generate 2 million years worth of simulated earthquake catalogs We defined what is considered to be an earthquake drought with respect to the fault and location within California We wrote code that calculated the probabilities of 100-year drought and large earthquakes 30 years after these drought We graphed those probabilities relative to each other an discovered that California is in an extremely rare drought and is extremely likely to have this drought end within 30 years after 100 years have passed. Summary Calculated probabilities using: probability = # of times specified outcome occurs # of total possible outcomes where the specified outcome is the number of drought years and the total number of outcomes is the total length of the catalog (2 million years) Time-Dependent Probability: counted the number of droughts with at least one such earthquake divided by the total number of droughts. Time-Independent Probability: the total earthquakes divided by the length of the catalog Similarly, for the other probabilities, we counted the total number of occurrences, and divided by the total possible outcomes. Figure 4: Probabilities of earthquakes and earthquake droughts with respect to each of the four definitions using the preliminary 2 million year catalog. Finding Probabilities of Major Earthquakes after a 100-Year Earthquake Drought 2019 UseIT: Forecasting and Simulation Team Acknowledgements We would like to acknowledge Thomas Jordan, Kevin Milner, Scott Callaghan, Elvis Carrillo, and Gabriela Noriega for their guidance this summer. Gisselle Mondragon 5 ; Terri Tang 7 ; Laura Davey 2 ; Malka Lazerson 4 ; Amabel Teca 3 ; Vanessa Carpio 6 ; Ruben Li Wu 6 ; Jerlyn Swiatlowski 1 ; Scott Callaghan 1 ; Kevin Milner 1 ; Thomas H. Jordan 1 ; 1 University of Southern California, 2 Stanford University, 3 Colorado School of Mines, 4 California State University, Fullerton, 5 California State University, Long Beach, 6 East Los Angeles College, 7 Pasadena City College 1. Statewide drought: using all faults in California, there has not been any M7.5+ earthquakes in a 100 year period. 2. San Andreas Sub-System: looking at the San Andreas Fault, the San Jacinto Fault, the Hayward Fault, and the Elsinore Fault, specifically, if there is an absence of M7.0+ earthquakes in a 100 year period. 3. Five site drought: using the 5 paleoseismic sites stated by Biasi and Sharer (2019) as the most seismically active sites in California which have not had a ground-rupturing earthquake (M6.5+) in over 100 years. 4. Thirty site drought: We extended the drought to include 30 paleoseismic sites extracted from UCERF3. References Biasi, G. P., & Scharer, K. M. (2019). The Current Unlikely Earthquake Hiatus at California’s Transform Boundary Paleoseismic Sites. Seismological Research Letters,90(3), 1168-1176. doi:10.1785/0220180244 Wald, Lisa, et al. (2019) “Back to the Future on the San Andreas Fault.” U.S. Geological Survey, earthquake.usgs.gov/learn/topics/safz-paleo/. Calculated the time-independent and time-dependent probabilities of a 100-year drought, and likelihood of large earthquakes 30 years after 100 year drought. Generated catalogs using RSQSim which ran on Blue Waters. Wrote code in Java that finds the frequency of earthquakes and droughts. Specified the friction parameters and time frame, for which the output file details the date, magnitude and location of the earthquakes that ruptured within that time frame. Figure 1: Visual drought definitions: (A) Mapped faults throughout all of California, (B) San Andreas, Hayward, San Jacinto, and Elsinore Faults, (C) Locations of 5 paleoseismic sites, (D) Locations of 30 paleoseismic sites. A B Methodology Comparison of the Magnitude vs. Frequency to UCERF3 and 2018 catalog to ensure accuracy and consistency in our probability calculations. Finding the Probabilities D C Figure 3: Flow chart of the approach and methodology Data Left 2018 1-million year catalog Right 2019 2-million year catalog

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Page 1: Finding Probabilities of Major Earthquakes after a 100-Year Earthquake Drought › s3fs-public › AGU_FAST_Poster.pdf · 2019-08-01 · 1University of Southern California, 2Stanford

Since 1906, California’s San Andreas Fault System has not produced a M7.0+ earthquake in over 100 years. After over a century of dormancy, the San Andreas Fault is approaching its recurrence rupture interval of 140 years (Wald et al., 2019). In light of this absence of large earthquakes, we investigated different types of earthquake droughts, the likelihood of our current seismic drought ending in the next 30 years, and a forecast of the seismic rate after the drought has ended. In order to measure and compare the statistical likelihood of major earthquake ruptures in California, we defined an earthquake drought four different ways. We used RSQSim (Rate State earthQuake Simulator), a physics based earthquake simulator, on the Blue Waters supercomputer to generate 2 million year catalog of simulated earthquakes. We calculated probabilities regarding earthquake behavior based on the time-independent Poisson distribution model in order to find the overall probability of a M7.5+ earthquake occurring over any 30-year period. We then compared this time-independent model to a time-dependent model to see the differences in probability between the earthquake occurrences. Using a catalog of 2 million years, the probability of being in a drought of 100 years or more on the San Andreas Fault system (Definition 2) is 2%. Furthermore, the probability of a M7.0+ drought ending event occurring for the same definition such that a 100 year drought has passed is 91%. Therefore, California, regardless of which definition used, is in an extremely unlikely drought and is very likely to see the drought end soon. Considering these probabilities, we hope that this motivates both the public and policy makers to prepare for the drought that is most probably going to end soon.

➢ California is in an extremely unlikely drought○ the highest probability is less than 25 percent and the lowest probability is less

than 1% ➢ The likelihood of the dro ught ending is likely to extremely likely for some of the

definitions and probabilities○ time dependent probability of drought ending in 30 year period is 91% for a

M7.0+ on SAF sub system○ time dependent statewide M7.5+ is ~78%

Abstract

Results

Drought Definitions

➢ We ran small test jobs, changing parameters until we found a set that matched results from UCERF3

➢ We will generate 2 million years worth of simulated earthquake catalogs➢ We defined what is considered to be an earthquake drought with respect to the

fault and location within California➢ We wrote code that calculated the probabilities of 100-year drought and large

earthquakes 30 years after these drought➢ We graphed those probabilities relative to each other an discovered that

California is in an extremely rare drought and is extremely likely to have this drought end within 30 years after 100 years have passed.

Summary

Calculated probabilities using:probability = # of times specified outcome occurs

# of total possible outcomeswhere the specified outcome is the number of drought years and the total number of outcomes is the total length of the catalog (2 million years)Time-Dependent Probability: counted the number of droughts with at least one such earthquake divided by the total number of droughts. Time-Independent Probability:the total earthquakes divided by the length of the catalog

Similarly, for the other probabilities, we counted the total number of occurrences, and divided by the total possible outcomes.

Figure 4: Probabilities of earthquakes and earthquake droughts with respect to each of the four definitions using the preliminary 2 million year catalog.

Finding Probabilities of Major Earthquakes after a 100-Year Earthquake Drought2019 UseIT: Forecasting and Simulation Team

AcknowledgementsWe would like to acknowledge Thomas Jordan, Kevin Milner, Scott Callaghan, Elvis Carrillo, and Gabriela Noriega for their guidance this summer.

Gisselle Mondragon5; Terri Tang7; Laura Davey2; Malka Lazerson 4; Amabel Teca3; Vanessa Carpio6; Ruben Li Wu6; Jerlyn Swiatlowski1; Scott Callaghan1; Kevin Milner1; Thomas H. Jordan1;1University of Southern California, 2Stanford University, 3Colorado School of Mines, 4California State University, Fullerton, 5California State University, Long Beach, 6East Los Angeles College, 7Pasadena City College

1. Statewide drought: using all faults in California, there has not been any M7.5+ earthquakes in a 100 year period.

2. San Andreas Sub-System: looking at the San Andreas Fault, the San Jacinto Fault, the Hayward Fault, and the Elsinore Fault, specifically, if there is an absence of M7.0+ earthquakes in a 100 year period.

3. Five site drought: using the 5 paleoseismic sites stated by Biasi and Sharer (2019) as the most seismically active sites in California which have not had a ground-rupturing earthquake (M6.5+) in over 100 years.

4. Thirty site drought: We extended the drought to include 30 paleoseismic sites extracted from UCERF3.

ReferencesBiasi, G. P., & Scharer, K. M. (2019). The Current Unlikely Earthquake Hiatus at California’s Transform Boundary Paleoseismic Sites. Seismological Research Letters,90(3), 1168-1176. doi:10.1785/0220180244Wald, Lisa, et al. (2019) “Back to the Future on the San Andreas Fault.” U.S. Geological Survey, earthquake.usgs.gov/learn/topics/safz-paleo/.

➢ Calculated the time-independent and time-dependent probabilities of a 100-year drought, and likelihood of large earthquakes 30 years after 100 year drought.

➢ Generated catalogs using RSQSim which ran on Blue Waters. ➢ Wrote code in Java that finds the frequency of earthquakes and droughts.➢ Specified the friction parameters and time frame, for which the output file details

the date, magnitude and location of the earthquakes that ruptured within that time frame.

Figure 1: Visual drought definitions: (A) Mapped faults throughout all of California, (B) San Andreas, Hayward, San Jacinto, and Elsinore Faults, (C) Locations of 5 paleoseismic sites, (D) Locations of 30 paleoseismic sites.

A B

Methodology

Comparison of the Magnitude vs. Frequency to UCERF3 and 2018 catalog to ensure accuracy and consistency in our probability calculations.

Finding the Probabilities

D

C

Figure 3: Flow chart of the approach and methodology

Data

Left 2018 1-million year catalog Right 2019 2-million year catalog