2D full-waveform modeling of seismic waves in layered karstic media
Author(s)Malallah, Adel H.; Hu, Hao; Zheng, Yingcai; Fehler, Michael C
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We have developed a new propagator-matrix scheme to simulate seismic-wave propagation and scattering in a multilayered medium containing karstic voids. The propagator matrices can be found using the boundary element method. The model can have irregular boundaries, including arbitrary free-surface topography. Any number of karsts can be included in the model, and each karst can be of arbitrary geometric shape. We have used the Burton-Miller formulation to tackle the numerical instability caused by the fictitious resonance due to the finite size of a karstic void. Our method was implemented in the frequency-space domain, so frequency-dependent Q can be readily incorporated. We have validated our calculation by comparing it with the analytical solution for a cylindrical void and to the spectral element method for a more complex model. This new modeling capability is useful in many important applications in seismic inverse theory, such as imaging karsts, caves, sinkholes, and clandestine tunnels.
DepartmentMassachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Society of Exploration Geophysicists
Zheng, Yingcai, Adel H. Malallah, Michael C. Fehler, and Hao Hu. “2D Full-Waveform Modeling of Seismic Waves in Layered Karstic Media.” GEOPHYSICS 81, no. 2 (March 2016): T115–T124. © 2016 Society of Exploration Geophysicists
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