### MineSeis - A MATLAB GUI Program

## Formulation

The program uses second-order source moment tensors to model the single-shot sources, which are the basic elements of the superposition. The source model used for the single-shot sources is the combination of an isotropic explosion and a spall with both vertical and horizontal components. Mueller and Murphy's^{1} model for contained explosions and a modification of Anandakrishnan et al.'s^{2} spall model are used as the source time functions of the explosion and the spall respectively.
Superposition is based on delays from the blast log provided by the blaster and delays resulted from the spatial finiteness of the blast. The latter are calculated from the burden (the distance of the shot to the free face) and spacing (the distance between shots) of the blast. Frequency-domain superposition is adopted as the default method. The method reduces the spectrum distortion caused by time-domain method because of the discrete time-domain sampling that usually requires the shifting of delays to the nearest sampling points.

^{1} Muller, R. A. and J. R. Murphy (1971). Seismic characteristics of underground nuclear detonations part I. Seismic spectrum scaling, Bull. Seism. Soc. Am. **61**, 1675-1692.

^{2 }Anandakrishnan, S., S. R. Taylor and B. W. Stump (1997). Quantification and characterization of regional seismic signals from cast blasting in mines: a linear elastic model, Geophys. J. Int. **131**, 45-60.

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Introduction |
Formulation |
Program Implmentation |
Conclusion