Table of Contents
Earthquake Simulations with Rate and State Friction and Fast Multipoles
Outline of Talk
Background - What has been done pre multipole
Problems Studied
Perspective View, Parkfield Model
Closer View of Model
Color Scale Added to Fault Plane
Removal of Extra Elements
Slip Velocity Scale Added
Strain Rates on Surface and Scale
Final Display with Time Dial
Video of Model
Fastest Strain Rate on Surface
Increase of Slip Rate Before EQ
Possibility for Predicting Time
Overlay of Parkfield Microseismicity
Reasons More Elements and Hence Multipole Method is Needed
Summary of Previous Results
Problems Studied
Loma Prieta Model Geometry
Background - What has been done pre multipole
General Approach
Background - What has been done pre multipole
Features included
After a Step in Slip Velocity, Friction Evolves with Displacement
True vs. Approximate Rate and State Friction
Friction at High Slip Velocity
Empirical Equations
Differential Equations (state variable eliminated)
Radiation Damping - 1
Radiation Damping - 2
Differential Equations with Radiation Damping - 1, Slip Law
Differential Equations with Radiation Damping - 2, Slowness Law
Background - What has been done pre multipole
Graphical Display - 1
Graphical Display - 2
Illustration of Zooming
1 Min. Before - Hypocenter Cell 105X Ave.
Outline of Talk
Background - Multipole Approach and Fast Multipoles
Problem Common to Many Fault Mechanics Numerical Computations
Idea of Multipole Approximation
Hierarchical Structure of Multipoles
Spatially Adaptive Character of Multipole Approach
Additional Approaches to Make it Fast
Space Filling Curves
Additional Approaches to Make it Fast
A Library Exists That Implements The Fast Multipole Method
Outline of Talk
Code Description - General
Code Description - Restrictions on Grid Geometry
Code Description - Principal Subroutines, 1
Code Description - Principal Subroutines, 2
Code Description - RK4 4th Order Runge-Kutta Integration Scheme
Code Description - RKQC Runge-Kutta Quality Control
Code Description - Changes for multipole
Code Description - Changes for multipole
Code Description - tree.c listing
Code Description - tree.c listing
Code Description - tree.c listing
Code Description - tree.c listing
Code Description - Other changes required for Multipole Library to work with your code
Code Description - Changes to Run in Parallel
Conclusions
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