Some of the most suspicious seismic disturbances under the Comprehensive Nuclear-Test-Ban Treaty (CTBT) are likely to be those associated with mining, as they are shallow, and at least some have an explosion-like m b :M s signature. Previous research highlighted the potential of broadband teleseismic P waves as a way of identifying large mine tremors. Broadband teleseismic P from two suspected large mine collapses, one in Germany (1302 UT, 13 March 1989 ) and another in Wyoming (1526 UT, 3 February 1995, 5.3 m b ), show differences in character despite the similarity of the reported ground failure and mine types. We apply a full moment-tensor analysis to the teleseismic P waves and show that the data are inconsistent with either a shallow explosion or an earthquake (double-couple) at depth, but this method is unable to distinguish between a shallow dip-slip source and a closing-crack moment tensor. However, three-component surface-wave seismograms recorded at regional distances fit the shallow closing-crack model, but are inconsistent with a shallow earthquake source, because strong Love waves, expected from a double-couple source, are not observed at a number of stations well distributed in azimuth. Here, we restate the equivalence for shallow sources of the closing-crack model and a gravitational collapse model. We use the latter to model the broadband P waves from these mine tremors and show that, while non-unique, the differences in the observed broadband P waves from the two tremors can be attributed to the area, amount of collapse, depth, and rate of collapse. The collapse model predicts negative first-motion for all P waves in contrast to the positive polarity expected from explosions. Thus, the broadband teleseismic P waves have the potential to discriminate between large collapses and explosions.Pure and Applied Geophysics is desirable to minimise the number of unnecessary on-site inspections or ''false alarms.'' BOWERS and DOUGLAS (1997) analysed short-period (SP) and broadband (BB) teleseismic P seismograms from seismic disturbances in many mining regions, and noted that in general the SP P waves are simple (having a short-duration pulse with little or no coda), with negative (dilatational) first-motion. Further, BOWERS and DOUGLAS (1997) showed that even where the SP first-motion was unclear, the BB P onset generally has a clear negative first-motion. BOWERS and DOUGLAS (1997) concluded that the first motion of BB teleseismic P has the potential to discriminate between shallow mine tremors and explosions (as the BB P first-motion from an explosion is expected to be positive). However, the physical basis for the BB teleseismic P discriminant is still not understood fully. BOWERS (1997) showed that negative-polarity teleseismic P waves and threecomponent surface waves from a large mine tremor, on 30 October 1994, in the Welkom district of South Africa, are best explained by a double-couple moment tensor at a depth of 2.3 km. However, it is well established that not all mine tremors are due to shallow do...