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New forms of empirical formulae that provide an approximate description ofthe decay of shock pressure with distance in hypervelocity impacts areproposed. These forms, which are intended for use in applications such aslarge-scale mantle convection models, are continuous and smooth from the pointof impact to arbitrarily large distances, thereby avoiding the need to dividethe domain into different decay regimes and yielding the maximum pressure in aself-consistent way without resorting to the impedance-match solution.Individual fits for different impact velocities as well as a tentative generalfitting formula are given, especially for the case of dunite-on-dunite impacts.The temperature effects resulting from the shock are estimated for differentdecay models, and the differences between them are found to be substantial insome cases, potentially leading to over- or underestimates of impact heatingand melt production in modeling contexts like mantle convection, where suchparameterizations are commonly used to represent giant impacts.

Globally smooth approximations for shock pressure decay in impacts