Locating earthquakes and underground nuclear explosions using applied optimization
Earthquakes are prevalent around the world. With the possibility of recurrent earthquakes damag- ing settlements and properties, it is of paramount importance for governments to know the location of earthquakes for future urban planning. This research designs an algorithm using the basic ray tracing...
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| Other Authors: | |
| Format: | Final Year Project (FYP) |
| Language: | English |
| Published: |
2018
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| Online Access: | http://hdl.handle.net/10356/76211 |
| _version_ | 1824453618595528704 |
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| author | Ding, William Si Hao |
| author2 | Tong Ping |
| author_facet | Tong Ping Ding, William Si Hao |
| author_sort | Ding, William Si Hao |
| collection | NTU |
| description | Earthquakes are prevalent around the world. With the possibility of recurrent earthquakes damag- ing settlements and properties, it is of paramount importance for governments to know the location of earthquakes for future urban planning. This research designs an algorithm using the basic ray tracing theory and the concept which most earthquakes relocation studies applied: Geiger’s Partial Differential Equations. Two algorithms are designed for two different mathematical models, ho- mogeneous and heterogeneous. In the latter case, seismic ray tracing is done in a two-layer model where Snell’s law has to be observed for the bending of ray at the intersection point. The algorithm has been implemented using data collected in the Sumatra region. The study has shown that the algorithm relocates earthquakes with accuracy for a domain of convergence. The research can be applied to research on underground nuclear explosions since they released the similar amount of energy as earthquakes. |
| first_indexed | 2025-02-19T03:09:17Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/76211 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:09:17Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | ntu-10356/762112023-02-28T23:18:23Z Locating earthquakes and underground nuclear explosions using applied optimization Ding, William Si Hao Tong Ping School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Applied mathematics::Optimization Earthquakes are prevalent around the world. With the possibility of recurrent earthquakes damag- ing settlements and properties, it is of paramount importance for governments to know the location of earthquakes for future urban planning. This research designs an algorithm using the basic ray tracing theory and the concept which most earthquakes relocation studies applied: Geiger’s Partial Differential Equations. Two algorithms are designed for two different mathematical models, ho- mogeneous and heterogeneous. In the latter case, seismic ray tracing is done in a two-layer model where Snell’s law has to be observed for the bending of ray at the intersection point. The algorithm has been implemented using data collected in the Sumatra region. The study has shown that the algorithm relocates earthquakes with accuracy for a domain of convergence. The research can be applied to research on underground nuclear explosions since they released the similar amount of energy as earthquakes. Bachelor of Science in Mathematical Sciences 2018-12-03T14:40:04Z 2018-12-03T14:40:04Z 2018 Final Year Project (FYP) http://hdl.handle.net/10356/76211 en 46 p. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Applied mathematics::Optimization Ding, William Si Hao Locating earthquakes and underground nuclear explosions using applied optimization |
| title | Locating earthquakes and underground nuclear explosions using applied optimization |
| title_full | Locating earthquakes and underground nuclear explosions using applied optimization |
| title_fullStr | Locating earthquakes and underground nuclear explosions using applied optimization |
| title_full_unstemmed | Locating earthquakes and underground nuclear explosions using applied optimization |
| title_short | Locating earthquakes and underground nuclear explosions using applied optimization |
| title_sort | locating earthquakes and underground nuclear explosions using applied optimization |
| topic | DRNTU::Science::Mathematics::Applied mathematics::Optimization |
| url | http://hdl.handle.net/10356/76211 |
| work_keys_str_mv | AT dingwilliamsihao locatingearthquakesandundergroundnuclearexplosionsusingappliedoptimization |