2017_dec Booklet A Part C Q111 📚 Geophysics
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Question 111

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For a landmass that is isostatically compensated (its topographic mass excess balanced by a low-density root at depth, as in Airy isostasy), the Bouguer gravity anomaly is not zero (unlike the free-air anomaly, which tends toward zero over compensated topography); instead, the Bouguer anomaly becomes systematically negative over elevated, compensated terrain because the Bouguer correction removes the attraction of the visible topographic slab while the compensating low-density root at depth continues to produce a negative gravity contribution, well approximated for a simple slab model by the relation Bouguer anomaly is approximately equal to -2 x pi x G x rho x h.
For an isostatically compensated landmass modeled as an infinite slab of density rho = 2.7 g/cc and thickness (elevation) h = 2.0 km, the associated...

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