Accuracy of Empirical Predictions of an Explosives Adiabatic Exponent

Author(s):  
PAUL M. LOCKING
Keyword(s):  
Geophysics ◽  
2018 ◽  
Vol 83 (3) ◽  
pp. T159-T173 ◽  
Author(s):  
Chenglong Yu ◽  
Zhongqi Wang ◽  
Wengong Han

We have developed a prediction model for dominant frequency and amplitude of blast-induced seismic waves. A blast expansion cavity is used to establish a relationship between the explosive properties and amplitude frequency of blast-induced seismic waves. In this model, the dominant frequency and amplitude of blast-induced seismic waves are mainly influenced by the initial pressure and the adiabatic exponent of explosives in the same medium. The dominant frequency increases with the decreasing initial pressure or the increasing adiabatic exponent. This prediction model is compared with the experiments. The difference in the blast cavity between the prediction model and the field experiment is in the range of 5%–9%, and the difference in the dominant frequency is within 18.8%–46.0%. The comparison indicates that the model can reasonably predict the frequency and amplitude of blast-induced seismic waves.


1991 ◽  
Vol 367 ◽  
pp. 666 ◽  
Author(s):  
J. Christensen-Dalsgaard ◽  
M. J. Thompson
Keyword(s):  

A polytropic gas of adiabatic exponent 5/3 fills the half-space on one side of a rigid plane wall of infinite extent. Initially the gas is at rest and its density is proportional to x 3/2 , where x is the distance from the wall. The gas starts moving towards the wall. It is shown that, although the data are continuous, the problem has no continuous solution, that reflexion at the wall generates a shock wave. The problem is solved completely without recourse to numerical integration.


2004 ◽  
Vol 21 (9) ◽  
pp. 1770-1772 ◽  
Author(s):  
Tian Bao-Lin ◽  
Fu De-Xun ◽  
Ma Yan-Wen
Keyword(s):  

Analysis ◽  
2015 ◽  
Vol 35 (4) ◽  
Author(s):  
Vincent Giovangigli ◽  
Milan Pokorný ◽  
Ewelina Zatorska

AbstractWe present the study of systems of equations governing a steady flow of polyatomic, heat-conducting reactive gas mixture. It is shown that the corresponding system of PDEs admits a weak solution and renormalized solution to the continuity equation, provided the adiabatic exponent for the mixture γ is greater than


The tables give essentially (i.e. apart from normalization factors) the hypergeometric functions which arise in the hodograph method for calculating steady flows of a gas whose adiabatic exponent γ is 1.4. Calling r the argument and v the order of these functions, the range covered is r = 0·08(0·02)0·30, ± v = 10·5(1·0)30·5, with 6 significant figures for the smaller | v | and 4 for the higher. Regarding r , this is the trans-sonic range, for which elementary asymptotic formulae are not available. Convenient approximate formulae also are given, whereby the tables can (if necessary) be extended to much higher values of | v |.


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