Analysis of discontinuities situation using Monte Carlo method and comparison its results with Dips software (Case study: Saidi Ornamental Quarry Stone, Kerman)
Subject Areas :Keywords: Probability analysis Deterministic analysis Monte Carlo Simulation Discontinuity Dips Software. ,
Abstract :
Statistical and probabilistic methods to evaluate the uncertainty in the data and the validation of the answers obtained from the calculations are widely used. In this study, Monte Carlo simulation method is used in order to exactly determine the coordinates of the discontinuities and the validation of the results of the Dips software calculations. In this method by considering all possible states for variables with estimation of the probability distribution function and the sampling of the variables, the final function was simulated. In this study, the data of discontinuities related to the Saidi ornamental quarry stone are used. In the first step, by the use of the Dips software, major joint sets were identified. Then for calculation of coordinates of joint sets with use of Monte Carlo simulation for each joint set, 50,000 random data of dip and dip direction were simulated. In the final step, the statistical characteristics of dip and dip direction of each joint set were identified by use of simulated data. Finally, the simulation results were compared with the results of Dips software. The results of this study show that the level of accuracy in Dips software for the dip direction of discontinuities is an average of 99.38% and for dip is an average 94.34%.