Direct simulation Monte Carlo method with a focal mechanism algorithm
Asep Nur Rachman 1 Tae Woong Chung 1 4 Kazuo Yoshimoto 2 Sukyoung Yun 3
+ Author Affiliations
- Author Affiliations
1 Department of Energy and Mineral Resources Engineering, Sejong University, Seoul 143-747, Korea.
2 Graduate School of Nanobioscience, Department of Materials System Science, Yokohama City University, Yokohama 236-0027, Japan.
3 Korea Polar Research Institute, Incheon 406-840, Korea.
4 Corresponding author. Email: chungtw@sejong.ac.kr
Exploration Geophysics 46(4) 371-380 https://doi.org/10.1071/EG14116
Submitted: 18 November 2014 Accepted: 19 November 2014 Published: 15 January 2015
Journal Compilation © ASEG 2015
Abstract
To simulate the observation of the radiation pattern of an earthquake, the direct simulation Monte Carlo (DSMC) method is modified by implanting a focal mechanism algorithm. We compare the results of the modified DSMC method (DSMC-2) with those of the original DSMC method (DSMC-1). DSMC-2 shows more or similarly reliable results compared to those of DSMC-1, for events with 12 or more recorded stations, by weighting twice for hypocentral distance of less than 80 km. Not only the number of stations, but also other factors such as rough topography, magnitude of event, and the analysis method influence the reliability of DSMC-2. The most reliable result by DSMC-2 is obtained by the best azimuthal coverage by the largest number of stations. The DSMC-2 method requires shorter time steps and a larger number of particles than those of DSMC-1 to capture a sufficient number of arrived particles in the small-sized receiver.
Key words: direct simulation Monte Carlo (DSMC) method, focal mechanism, number of stations, receiver problem, seismic wave attenuation.
References
Aki, K., and Richards, P., 1980, Quantitative seismology: W. H. Freeman.Asep, N. R., Chung, T. W., and Yoshimoto, K., 2014, Separation of intrinsic and scattering attenuation using single event source in South Korea: Bulletin of the Seismological Society of America, ,
Bianco, F., Del Pezzo, E., Castellano, M., Ibanez, J., and Di Luccio, F., 2002, Separation of intrinsic and scattering seismic attenuation in the Southern Apennine zone, Italy: Geophysical Journal International, 150, 10–22
| Separation of intrinsic and scattering seismic attenuation in the Southern Apennine zone, Italy:Crossref | GoogleScholarGoogle Scholar |
Bianco, F., Del Pezzo, E., Malagnini, L., Di Luccio, F., and Akinci, A., 2005, Separation of depth-dependent intrinsic and scattering seismic attenuation in the northeastern sector of the Italian Peninsula: Geophysical Journal International, 161, 130–142
| Separation of depth-dependent intrinsic and scattering seismic attenuation in the northeastern sector of the Italian Peninsula:Crossref | GoogleScholarGoogle Scholar |
Cervený, V., and Ravindra, R., 1971, Theory of seismic head waves: University of Toronto Press.
Chung, T. W., 2014, Quantitative study of the separation of intrinsic and scattering seismic attenuation in southeastern Korea using the Monte Carlo simulation method: Disaster Advances, 7, 7–17
Chung, T. W., and Asep, N. R., 2013, Multiple lapse time window analysis of the Korean Peninsula considering focal depth: Journal of the Korean Society of Earth and Exploration Geophysicists, 16, 293–299
Chung, T. W., Yoshimoto, K., and Yun, S., 2010, The separation of intrinsic and scattering seismic attenuation in South Korea: Bulletin of the Seismological Society of America, 100, 3183–3193
| The separation of intrinsic and scattering seismic attenuation in South Korea:Crossref | GoogleScholarGoogle Scholar |
Dainty, A. M., 1981, A scattering model to explain seismic Q observation in the lithosphere between 1 and 30 Hz: Geophysical Research Letters, 8, 1126–1128
| A scattering model to explain seismic Q observation in the lithosphere between 1 and 30 Hz:Crossref | GoogleScholarGoogle Scholar |
Draper, N. R., and Smith, H., 1998, Applied regression analysis: John Wiley.
Fehler, M. C., Hoshiba, M., and Sato, H., 1992, Separation of scattering and intrinsic attenuation for the Kanto-Tokai region, Japan, using measurements of S-wave energy versus hypocentral distance: Geophysical Journal International, 108, 787–800
| Separation of scattering and intrinsic attenuation for the Kanto-Tokai region, Japan, using measurements of S-wave energy versus hypocentral distance:Crossref | GoogleScholarGoogle Scholar |
Feynman, R. P., Leighton, R. B., and Sands, M., 1989, The Feynman lectures on physics, volume 1: Addison-Wesley.
Geli, L., Bard, P.-Y., and Jullen, B., 1988, The effect of topography on earthquake ground motion: a review and new results: Bulletin of the Seismological Society of America, 78, 42–63
Giampiccolo, E., Tuvé, T., Gresta, S., and Patané, D., 2006, S-waves attenuation and separation of scattering and intrinsic absorption of seismic energy in southeastern Sicily (Italy): Geophysical Journal International, 165, 211–222
| S-waves attenuation and separation of scattering and intrinsic absorption of seismic energy in southeastern Sicily (Italy):Crossref | GoogleScholarGoogle Scholar |
Helffrich, G. R., 1997, How good are routinely determined focal mechanism? Empirical statistics based on a comparison of Harvard, USGS, and ERI moment tensors: Geophysical Journal International, 131, 741–750
| How good are routinely determined focal mechanism? Empirical statistics based on a comparison of Harvard, USGS, and ERI moment tensors:Crossref | GoogleScholarGoogle Scholar |
Hong, T.-K., and Choi, H., 2012, Seismological constraints on the collision belt between the North and South China blocks in the Yellow Sea: Tectonophysics, 570–571, 102–113
| Seismological constraints on the collision belt between the North and South China blocks in the Yellow Sea:Crossref | GoogleScholarGoogle Scholar |
Hoshiba, M., 1991, Simulation of multiple-scattered coda wave excitation based on the energy conservation law: Physics of the Earth and Planetary Interiors, 67, 123–136
| Simulation of multiple-scattered coda wave excitation based on the energy conservation law:Crossref | GoogleScholarGoogle Scholar |
Hoshiba, M., 1993, Separation of scattering attenuation and intrinsic absorption in Japan using the multiple lapse time window analysis of full seismogram envelope: Journal of Geophysical Research, 98, 15 809–15 824
| Separation of scattering attenuation and intrinsic absorption in Japan using the multiple lapse time window analysis of full seismogram envelope:Crossref | GoogleScholarGoogle Scholar |
Hoshiba, M., 1997, Seismic coda wave envelope in depth-dependent S wave velocity structure: Physics of the Earth and Planetary Interiors, 104, 15–22
| Seismic coda wave envelope in depth-dependent S wave velocity structure:Crossref | GoogleScholarGoogle Scholar |
Hoshiba, M., Sato, H., and Fehler, M. C., 1991, Numerical basis of the separation of scattering and intrinsic absorption from full seismogram envelope: a Monte Carlo simulation of multiple isotropic scaterring: Papers in Meteorology and Geophysics, 42, 65–91
| Numerical basis of the separation of scattering and intrinsic absorption from full seismogram envelope: a Monte Carlo simulation of multiple isotropic scaterring:Crossref | GoogleScholarGoogle Scholar |
Lee, W. S., Yun, S., and Do, J.-Y., 2010, Scattering and intrinsic attenuation of short-period S waves in the Gyeongsang Basin, South Korea, revealed from S-wave seismogram envelopes based on the radiative transfer theory: Bulletin of the Seismological Society of America, 100, 833–840
| Scattering and intrinsic attenuation of short-period S waves in the Gyeongsang Basin, South Korea, revealed from S-wave seismogram envelopes based on the radiative transfer theory:Crossref | GoogleScholarGoogle Scholar |
Mitchell, B. J., 1995, Anelastic structure and evolution of the continental crust and upper mantle from seismic wave attenuation: Reviews of Geophysics, 33, 441–462
| Anelastic structure and evolution of the continental crust and upper mantle from seismic wave attenuation:Crossref | GoogleScholarGoogle Scholar |
Mitchell, B. J., and Xie, J., 1994, Attenuation of multiphase surface waves in the Basin and Range Province – III. Inversion for crustal anelasticity: Geophysical Journal International, 116, 468–484
| Attenuation of multiphase surface waves in the Basin and Range Province – III. Inversion for crustal anelasticity:Crossref | GoogleScholarGoogle Scholar |
Park, J.-C., Kim, W., Chung, T. W., Baag, C.-E., and Ree, J.-H., 2007, Focal mechanisms of recent earthquakes in the Southern Korean Peninsula: Geophysical Journal International, 169, 1103–1114
| Focal mechanisms of recent earthquakes in the Southern Korean Peninsula:Crossref | GoogleScholarGoogle Scholar |
R Development Core Team, 2006, R: A language and environment for statistical computing, reference index version 2.2.1: R Foundation for Statistical Computing. Available at http://www.R-project.org
Rodgers, A. J., Petersson, N. A., and Sjogreen, B., 2010, Simulation of topographic effects on seismic waves from shallow explosions near the North Korean nuclear test site with emphasis on shear wave generation: Journal of Geophysical Research, 115, B11309
| Simulation of topographic effects on seismic waves from shallow explosions near the North Korean nuclear test site with emphasis on shear wave generation:Crossref | GoogleScholarGoogle Scholar |
Sato, H., 1993, Energy transportation in one- and two-dimensional scattering media: analytic solutions of the multiple isotropic scattering model: Geophysical Journal International, 112, 141–146
| Energy transportation in one- and two-dimensional scattering media: analytic solutions of the multiple isotropic scattering model:Crossref | GoogleScholarGoogle Scholar |
Sato, H., Fehler, M. C., and Maeda, T., 2012, Seismic wave propagation and scattering in the heterogeneous earth (2nd edition): Springer-Verlag, Inc.
Yoshimoto, K., 2000, Monte Carlo simulation of seismogram envelopes in scattering media: Journal of Geophysical Research, 105, 6153–6161
| Monte Carlo simulation of seismogram envelopes in scattering media:Crossref | GoogleScholarGoogle Scholar |
Yoshimoto, K., Sato, H., and Ohtake, M., 1993, Frequency-dependent attenuation of P and S-waves in the Kanto area, Japan, based on the coda-normalization method: Geophysical Journal International, 114, 165–174
| Frequency-dependent attenuation of P and S-waves in the Kanto area, Japan, based on the coda-normalization method:Crossref | GoogleScholarGoogle Scholar |
Zeng, Y., Su, F., and Aki, K., 1991, Scattering wave energy propagation in a random isotropic scattering medium: 1, Theory: Journal of Geophysical Research, 96, 607–619
| Scattering wave energy propagation in a random isotropic scattering medium: 1, Theory:Crossref | GoogleScholarGoogle Scholar |
