Seismic Moment Rate Function Inversions from Very Long Period Signals Associated With Strombolian
The inverse problem for the recovery of the seismic source moment tensor is a fundamental problem in seismology. A particular seismic source phenomenon seen at Mount Erebus, Antarctica is that of explosive decompres-sion of a gas slug formed beneath the volcano’s lava lake and the subsequent forces...
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| Format: | Text |
| Language: | English |
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2007
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| Online Access: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.75.7055 http://euler.nmt.edu/~brian/students/lucero.pdf |
| Summary: | The inverse problem for the recovery of the seismic source moment tensor is a fundamental problem in seismology. A particular seismic source phenomenon seen at Mount Erebus, Antarctica is that of explosive decompres-sion of a gas slug formed beneath the volcano’s lava lake and the subsequent forces generated as the lava lake recovers from this disruption. The resulting time series obtained from a number of broadband seismometers placed around the volcano can be described by the summation of convolutions between the moment tensor components and their corresponding Green’s functions. In this thesis, I present a new solution method for this problem that uses the prop-erties of Toeplitz matrices. In particular, the Toeplitz matrix structure allows for fast matrix-vector multiplication by means of the Fast Fourier Transform. By combining the use of Toeplitz matrices, the implicit storage of the Green’s functions, and an iterative method, it becomes possible to work on large data sets. Iterative inverse techniques, such as Conjugate Gradient Least Squares |
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