Abstract
One of the classical problem in seismology is to determine time travel and ray path of seismic wave betweentwo points at a given heterogeneous media. This problem is expressed by eikonal equation and can be seen as a propagation of a wavefront and interface evolution. One of methods to solve this problem is Fast Marching Method abbreviated as FMM. This method is used to produce entropy-satisfying viscosity solution of eikonal equation. FMM combines viscosity solution of Hamilton-Jacobi equation and Huygen's Principle that centered on min-heap data structure to determine the minimum value at every loop. In this study, FMM is applied to determine time travel and raypath of seismic wave. FMM also is used to determine the location of wavesource using simple algorithm. From our forward modeling schemes, it is found that FMM is an accurate, robust, and effcient method to simulate seismic wave propagation. For further study, FMM also can be used to be a part of passive seismic inverse scheme to locate hypocenter location.
Highlights
One of the classical problem in seismology is to determine time travel and ray path of seismic wave between two points at a given heterogeneous media
This problem is expressed by eikonal equation
Fast Marching Method abbreviated as FMM
Summary
Salah satu masalah klasik pada bidang seismologi adalah penentuan waktu tempuh dan lintasan dari gelombang seismik antara dua titik pada suatu medium heterogen di bawah permukaan. Salah satu metode numerik yang digunakan pada permasalahan ini adalah shooting method atau bending method. Shooting method merupakan metode untuk menyelesaikan masalah di atas dari perspektif persoalan syarat awal. Sedangkan bending method menyelesaikan masalah di atas dari perspektif persoalan syarat batas dengan mengubah lintasan secara iteratif hingga memenuhi prinsip Fermat (Rawlinson, 2008). Kekurangan dari shooting method dan bending method adalah persoalan robustness (kekuatan) dan faktor kecepatan komputasi (Rawlinson, 2005). Pertanyaan yang menarik yang akan dicoba untuk dijawab dalam studi ini adalah bagaimana metode numerik yang cukup robust dan efisien untuk menentukan penjalaran gelombang seismik pada suatu model kecepatan heterogen di bawah permukaan. Dipaparkan hasil simulasi seismik menggunakan Fast Marching Method beserta informasi akurasi dan efisiensinya dan aplikasi Fast Marching Method pada seismologi
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