Supercomputing Dynamic Earthquake Rupture Models

earthquakes
Scientists are using supercomputers to better predict the behavior of the world's most powerful, multiple-fault earthquakes. A science team used simulations to find dynamic interactions of a postulated network of faults in the Brawley seismic zone in southern California. Map (left panels) and 3D (right panels) view of supercomputer earthquake simulations in the Brawley Seismic Zone, CA. The figure shows how different stress conditions affect rupture propagation across the complex network of faults. The top panels show a high-stress case scenario (leading to very fast rupture propagation, higher than the S wave speed) while the bottom panels show a medium stress case simulation. Credit: Christodoulos Kyriakopoulos, UC Riverside.

Some of the world’s most powerful earthquakes involve multiple faults, and scientists are using supercomputers to better predict their behavior. Multi-fault earthquakes can span fault systems of tens to hundreds of kilometers, with ruptures propagating from one segment to the other. During the last decade, scientists have observed several cases of this complicated type of earthquake. Major examples include the magnitude (abbreviated M) 7.2 2010 Darfield earthquake in New Zealand; the M7.2 El Mayor – Cucapah earthquake in Mexico immediately south of the US-Mexico border; the 2012 magnitude 8.6 Indian Ocean Earthquake; and perhaps the most complex of all, the M7.8 2015 Kaikoura earthquake in New Zealand.

A magnitude 7.8 earthquake struck the northeastern South Island of New Zealand on November 14, 2016. The Kaikōura earthquake was the most powerful experienced in the region in more than 150 years. Multi-fault earthquakes in this case ruptured to shake the ground and cause coastal uplift of several meters, shown here. Credit: Mike Locke

“The main findings of our work concern the dynamic interactions of a postulated network of faults in the Brawley seismic zone in Southern California,” said Christodoulos Kyriakopoulos, a Research Geophysicist at the University of California, Riverside. He’s the lead author of a studypublished in April of 2019 in the Journal of Geophysical Research, Solid Earth, published by the American Geophysical Union. “We used physics-based dynamic rupture models that allow us to simulate complex earthquake ruptures using supercomputers. We were able to run dozens of numerical simulations, and documented a large number of interactions that we analyzed using advanced visualization software,” Kyriakopoulos said.

A dynamic rupture model is a model that allows scientists to study the fundamental physical processes that take place during an earthquake. With this type of model, supercomputers can simulate the interactions between different earthquake faults. For example, the models allow study of how seismic waves travel from one fault to and influence the stability of another fault. In general, Kyriakopoulos said that these types of models are very useful to investigate big earthquakes of the past, and perhaps more importantly, possible earthquake scenarios of the future.

Christodoulos Kyriakopoulos, University of California, Riverside. Credit: UC Riverside.

The numerical model Kyriakopoulos developed consists of two main components. First is a finite element mesh that implements the complex network of faults in the Brawley seismic zone. “We can think of that as a discretized domain, or a discretized numerical world that becomes the base for our simulations. The second component is a finite element dynamic rupture code, known as FaultMod (Barall et. al. 2009) that allows us to simulate the evolution of earthquake ruptures, seismic waves, and ground motion with time,” Kyriakopoulos said. “What we do is create earthquakes in the computer. We can study their properties by varying the parameters of the simulated earthquakes. Basically, we generate a virtual world where we create different types of earthquakes. That helps us understand how earthquakes in the real world are happening.”

“The model helps us understand how faults interact during earthquake rupture,” he continued. “Assume an earthquake starts at point A and travels towards point B. At point B, the earthquake fault bifurcates, or splits in two parts. How easy would it be for the rupture, for example, to travel on both segments of the bifurcation, versus taking just one branch or the other? Dynamic rupture models help us to answer such questions using basic physical laws and realistic assumptions.”

Modeling realistic earthquakes on a computer isn’t easy. Kyriakopoulos and his collaborators faced three main challenges. “The first challenge was the implementation of these faults in the finite element domain, in the numerical model. In particular, this system of faults consists of an interconnected network of larger and smaller segments that intersect each other at different angles. It’s a very complicated problem,” Kyriakopoulos said.

Example figure from the paper showing different patterns of interaction between main faults and cross faults as evidenced by the final fault slip. Rupture with cross faults prestressed at a higher level than the main faults. Left panels show models with nucleation to the north (N2S propagation) while right panel show nucleation to the south (S2N propagation). Credit: Christodoulos Kyriakopoulos, UC Riverside.

The second challenge was to run dozens of large computational simulations. “We had to investigate as much as possible a very large part of parameter space. The simulations included the prototyping and the preliminary runs for the models. The Stampede supercomputer at TACC was our strong partner in this first and fundamental stage in our work, because it gave me the possibility to run all these initial models that helped me set my path for the next simulations.” The third challenge was to use optimal tools to properly visualize the 3-D simulation results, which in their raw form consist simply of huge arrays of numbers. Kyriakopoulos did that by generating photorealistic rupture simulations using the freely available software ParaView (paraview.org).

To overcome these challenges, Kyriakopoulos and colleagues used the resources of XSEDE, the NSF-funded Extreme Science and Engineering Environment. They used the computers Stampede at the Texas Advanced Computing Center; and Comet at the San Diego Supercomputer Center (SDSC). Kyriakopoulos’ related research includes XSEDE allocations TACC’s Stampede2 system.

“Approximately one-third of the simulations for this work were done on Stampede, specifically, the early stages of the work,” Kyriakopoulos said. I would have to point out that this work was developed over the last three years, so it’s a long project. I would like to emphasize, also, how the first simulations, again, the prototyping of the models, are very important for a group of scientists that have to methodically plan their time and effort. Having available time on Stampede was a game-changer for me and my colleagues, because it allowed me to set the right conditions for the entire set of simulations. To that, I would like to add that Stampede and in general XSEDE is a very friendly environment and the right partner to have for large-scale computations and advanced scientific experiments.”

Their team also used briefly the computer Comet of SDSC in this research, mostly for test runs and prototyping. “My overall experience, and mostly based on other projects, with SDSC is very positive. I’m very satisfied from the interaction with the support team that was always very fast in responding my emails and requests for help. This is very important for an ongoing investigation, especially in the first stages where you are making sure that your models work properly. The efficiency of the SDSC support team kept my optimism very high and helped me think positively for the future of my project.”

XSEDE had a big impact on this earthquake research. “The XSEDE support helped me optimize my computational work and organize better the scheduling of my computer runs. Another important aspect is the resolution of problems related to the job scripting and selecting the appropriate resources (e.g amount of RAM, and number of nodes). Based on my overall experience with XSEDE I would say that I saved 10-20% of personal time because of the way XSEDE is organized,” Kyriakopoulos said.

“My participation in XSEDE gave a significant boost in my modeling activities and allowed me to explore better the parameter space of my problem. I definitely feel part of a big community that uses supercomputers and has a common goal, to push forward science and produce innovation,” Kyriakopoulos said.

Looking at the bigger scientific context, Kyriakopoulos said that their research has contributed towards a better understanding of multi-fault ruptures, which could lead to better assessments of the earthquake hazard. “In other words, if we know how faults interact during earthquake ruptures, we can be better prepared for future large earthquakes—in particular, how several fault segments could interact during an earthquake to enhance or interrupt major ruptures,” Kyriakopoulos said.

Some of the results from this research point to the possibility of a multi-fault earthquake in Southern California, which could have dire consequences. “Under the current parametrization and the current model assumptions, we found that a rupture on the Southern San Andreas fault could propagate south of Bombay Beach, which is considered to be the southern end of the southern San Andreas fault. In this case, if a rupture actually propagates south of Bombay Beach, it could conceivably sever Interstate 8, which is considered to be a lifeline between the eastern and western California in the case of a large event,” Kyriakopoulos said.

“Second, we found that a medium-sized earthquake nucleating on one of these cross faults could actually trigger a major event on the San Andreas fault. But this is only a very small part in this paper. And it’s actually the topic of our ongoing and future work,” he added.

“This research has provided us with a new understanding of a complex set of faults in Southern California that have the potential to impact the lives of millions of people in the United States and Mexico. Ambitious computational approaches, such as those undertaken by this research team in collaboration with XSEDE, make more realistic physics-based earthquake models possible”, said National Science Foundation Earth Sciences Program Director Eva Zanzerkia.

Said Kyriakopoulos: “Our planet is a complex physical system. Without the support from supercomputer facilities, we would not be able to numerically represent this complexity and specifically in my field analyze in depth the geophysical processes behind earthquakes.”

This video shows a simulation of a dynamic rupture model. The model is based on a postulated network of faults in the Salton Sea area, southern California. The hypocenter of this synthetic event is placed approximately 30km north of Bombay beach. The first seconds of this simulation show the initiation phase of the earthquake, also known as the “nucleation phase”. After this initial phase, the earthquake rupture propagates spontaneously towards the right-hand side of the screen (south-east in the map). From that point on what we observe is the interaction between different faults in this system. More specifically, this animation highlights how the network of perpendicular faults (known as cross-faults) implemented in the middle of the domain affect the evolution of this synthetic earthquake. The top two panels represent a different scenario than the bottom two panels. The difference between the top and bottom panels lies in the tendency of the cross-faults to participate in the rupture process, which is significantly higher in the second case. For that reason, in the bottom panels, we observe a cascade of cross-faults events that in the end will modulate the final magnitude of this specific model.


The study, “Dynamic Rupture Scenarios in the Brawley Seismic Zone, Salton Trough, Southern California,” was published in April of 2019 in the Journal of Geophysical Research: Solid Earth, published by the American Geophysical Union. Funding was provided by the U.S. Geological Survey (G12AC20038), the National Science Foundation (EAR‐1033462, EAR‐1114446, EAR‐1135455), and the Southern California Earthquake Center (8889). The study co-authors are Christodoulos Kyriakopoulos and David Oglesby of the University of California, Riverside; Thomas Rockwell of San Diego State University; Aron Meltzner of Nanyang Technological University, Singapore; Michael Barall of Invisible Software, Inc.; John Fletcher of the Centro de Investigacion Cientifica y de Educacion Superior de Ensenada (Mexico); and Drew Tulanowski of Rutgers University.

Stampede, Stampede2, Comet, and the Extended Collaborative Support Services program are allocated resources of the Extreme Science and Engineering Discovery Environment (XSEDE) funded by the National Science Foundation (NSF).