Domain Reduction Method (DRM) Examples

Introduction

The Domain Reduction Method (DRM) is a powerful technique for modeling seismic wave propagation in a computationally efficient manner. This section provides a series of examples demonstrating how to use Femora’s DRM capabilities to model increasingly complex scenarios.

Key Concepts of Domain Reduction Method

The Domain Reduction Method, first proposed by Bielak et al. (2003), is a two-step approach for modeling wave propagation problems:

  1. Background Analysis: A large-scale analysis (often simplified) to capture regional wave propagation from source to site.

  2. Local Analysis: A detailed analysis of a smaller domain of interest, using the results from step 1 as boundary conditions.

This approach offers several advantages:

  • Computational Efficiency: Focuses computational resources on the domain of interest

  • Realistic Wave Input: Captures complex wave patterns without modeling the entire source-to-site path

  • Flexibility: Works with various wave types, source mechanisms, and site conditions

  • Enhanced Resolution: Allows for detailed analysis of local site effects and structure-soil interaction

Example Overview

This section includes multiple examples demonstrating DRM applications of increasing complexity:

These examples progress from simple configurations to more complex geological settings, demonstrating Femora’s capabilities in handling realistic seismic wave propagation problems.

References

  1. Bielak, J., Loukakis, K., Hisada, Y., & Yoshimura, C. (2003). Domain reduction method for three-dimensional earthquake modeling in localized regions, Part I: Theory. Bulletin of the Seismological Society of America, 93(2), 817-824.

  2. Yoshimura, C., Bielak, J., Hisada, Y., & Fernández, A. (2003). Domain reduction method for three-dimensional earthquake modeling in localized regions, Part II: Verification and applications. Bulletin of the Seismological Society of America, 93(2), 825-841.

  3. Jeong, C., Esmaeilzadeh Seylabi, E., Taciroglu, E. (2018). A time-domain substructuring method for dynamic soil-structure interaction analysis of arbitrarily shaped foundation-soil systems. International Journal for Numerical Methods in Engineering, 114(11), 1211-1239.