a brief background to the development of the rock engineering design process is given, showing that since the development of the science of mathematics, deterministic methods have been used to perform various calculations. the variability of rock properties and support characteristics have always been known. however, they were not explicitly used in design but compensated for by the use of a sa...

In this contribution we deal with the deterministic dominance of the proba bility moments of stochastic processes More precisely given a positive stochastic process we propose to dominate its probability moment sequence by the trajectory of appropriate lower and upper dominating deterministic processes The analysis of the behavior of the original stochastic process is then transferred to the st...

seismic inversion is a method that extracts acoustic impedance data from the seismic traces. sourcewavelets are band-limited, and thus seismic traces do not contain low and high frequency information.therefore, there is a serious problem when the deterministic seismic inversion is applied to real dataand the result of deterministic inversion is smooth. low frequency component is obtained from w...